Answer:
137 in binary is 10001001
Step-by-step explanation:
Conner's answer did not receive full credit because he did not convert the hexadecimal number #FF0000 to decimal and binary correctly.
While it is true that the letter F represents 1111 in binary, in hexadecimal, FF represents the decimal value 255, not 1111.
Therefore, Conner's answer is incorrect, and he needs to use the correct conversions to get the right answer.
To convert 255 to binary using divisions, we can use the following steps:
Start with the decimal number 255.
Divide 255 by 2, and write down the quotient and remainder. The quotient is 127, and the remainder is 1.
Divide the quotient (127) by 2, and write down the quotient and remainder. The quotient is 63, and the remainder is 1.
Repeat this process of dividing the quotient by 2 and writing down the quotient and remainder until the quotient becomes 0.
The binary equivalent of 255 is the sequence of remainders written in reverse order: 11111111.
Decimal Number Quotient Remainder
255 127 1
127 63 1
63 31 1
31 15 1
15 7 1
7 3 1
3 1 1
1 0 1
Divide 137 by 2. The quotient is 68, and the remainder is 1.
Divide 68 by 2. The quotient is 34, and the remainder is 0.
Divide 34 by 2. The quotient is 17, and the remainder is 0.
Divide 17 by 2. The quotient is 8, and the remainder is 1.
Divide 8 by 2. The quotient is 4, and the remainder is 0.
Divide 4 by 2. The quotient is 2, and the remainder is 0.
Divide 2 by 2. The quotient is 1, and the remainder is 0.
Divide 1 by 2. The quotient is 0, and the remainder is 1.
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using arithmetic sum formula
Find the sum of the first 6 terms.
2,5,8,11,14,17
Therefore, the sum of the first 6 terms of this arithmetic sequence is 57.
What is arithmetic sequence?An arithmetic sequence is a sequence of numbers in which each term is obtained by adding a fixed constant number to the previous term. The fixed constant number is called the common difference (d) of the sequence.
Here,
To find the sum of the first 6 terms of this arithmetic sequence, we can use the arithmetic sum formula:
Sn = n/2 * [2a + (n - 1)d]
where Sn is the sum of the first n terms, a is the first term, d is the common difference, and n is the number of terms.
In this case, we have:
a = 2 (the first term)
d = 3 (the common difference, since each term is 3 more than the previous term)
n = 6 (the number of terms)
Substituting these values into the formula, we get:
S6 = 6/2 * [2(2) + (6 - 1)3]
= 3 * [4 + 15]
= 3 * 19
= 57
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A small business was founded by three friends whose capital shares are: Aries-$120, Gemini-$240, and Leo-$360.
Their profit for the week reached $540. The profit will be divided in proportion to their investment.
What percent of the capital shares was invested by Leo?
One clay brick weighs 5.03 pounds. The brick is 1 inch long and 2 1/4 inches wide. If the clay weighs 0.07 pounds per cubic inch, what is the volume of the brick? Round your answer to the nearest integer.
The volume of the clay brick is 2.25 cubic inches and the weight of the clay brick is 0.1575 pounds
The volume of the clay brick, we need to use the dimensions provided. The length of the brick is 1 inch and the width is 2 [tex]\frac{1}{4}[/tex] inches. We can assume the height of the brick is also 1 inch since it is not specified.
The formula for the volume of a rectangular object is
V = lwh
where V is the volume, l is the length, w is the width, and h is the height.
Using the given dimensions, we can calculate the volume of the brick:
V = (1 inch) x (2 [tex]\frac{1}{4}[/tex] inches) x (1 inch)
V = (1 inch) x (2.25 inches) x (1 inch)
V = 2.25 cubic inches
V = 2.25 inches³
Since the density of the clay is given as 0.07 pounds per cubic inch, we can find the weight of the brick using the formula:
Weight = Volume x Density
Weight = 2.25 inches³ x 0.07 pounds/inches³
Weight = 0.1575 pounds
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Find the coordinates of the circumcenter of the triangle with the given vertices. R(-2,5), S(-6,5), T(-2,-1).
Answer:
the circumcenter of triangle RST is (-4, 3).
Step-by-step explanation:
To find the circumcenter of a triangle, we need to find the intersection of the perpendicular bisectors of its sides.
Let's first find the midpoints of the sides RS, ST, and RT.
Midpoint of RS:
x-coordinate = (-2 + (-6))/2 = -4
y-coordinate = (5 + 5)/2 = 5
Midpoint of RS is (-4, 5).
Midpoint of ST:
x-coordinate = (-6 + (-2))/2 = -4
y-coordinate = (5 + (-1))/2 = 2
Midpoint of ST is (-4, 2).
Midpoint of RT:
x-coordinate = (-2 + (-2))/2 = -2
y-coordinate = (5 + (-1))/2 = 2
Midpoint of RT is (-2, 2).
Now, let's find the equations of the perpendicular bisectors of RS and ST, and then find their point of intersection.
Perpendicular bisector of RS:
The slope of RS is (5 - 5)/(-6 - (-2)) = 0.
The midpoint of RS is (-4, 5).
So, the equation of the perpendicular bisector of RS is x = -4.
Perpendicular bisector of ST:
The slope of ST is (5 - (-1))/(-6 - (-2)) = -3/2.
The midpoint of ST is (-4, 2).
So, the equation of the perpendicular bisector of ST is y = (-3/2)(x + 4) + 2, which simplifies to y = (-3/2)x - 1.
Now, let's find the point of intersection of these two lines.
x = -4 for the perpendicular bisector of RS, so we substitute that into the equation of the perpendicular bisector of ST:
y = (-3/2)(-4) - 1 = 4 - 1 = 3.
Therefore, the circumcenter of triangle RST is (-4, 3).
HELP ME PLEASEEE!!!!
Mrs. Vo is going to put wallpaper around her daughter's rectangular bedroom over the summer. What formula is needed to find the amount of border needed?
Answer: To find the amount of border needed to put wallpaper around a rectangular bedroom, the formula for the perimeter of a rectangle is needed. The formula for the perimeter of a rectangle is:
P = 2l + 2w
where P is the perimeter, l is the length, and w is the width of the rectangle.
Step-by-step explanation:
please help me with math i’ll give you brainlist
If the equation of the normal to the curve f (X) at the point (2,-1) is X-2 y = 4 , then f (2) =
To find the value of f(2), we need to use the equation of the normal to the curve at the point (2,-1). We know that the normal to the curve is perpendicular to the tangent at that point.
From the given equation of the normal, we can determine the slope of the tangent line, which is -1/2.
Now we can use the point-slope form of a line to find the equation of the tangent line to the curve at (2,-1): y + 1 = (-1/2)(x - 2).
To solve for f(2), we need to find the y-coordinate of the point on the curve that lies on this tangent line. We can substitute x=2 into the equation of the tangent line to find the y-coordinate: y + 1 = (-1/2)(2 - 2) => y = -1.
Therefore, f(2) = -1.
1. There are 40 apples packed into boxes. If there are 8 apples in each box, how many boxes are there?
Answer:
5 boxes
Step-by-step explanation:
We Know
There are 40 apples packed into boxes.
There are 8 apples in each box
How many boxes are there?
We take
40 / 8 = 5 boxes
So, there are 5 boxes.
Given vectors u = (8, 1) and v = (-7, -1), find the sum u + v and write the
result in component form.
According to the solution we have come to find that, The sum of the given vectors u and v is (1, 0).
What is vector?In mathematics, a vector is a mathematical object that has both magnitude (or length) and direction. It is usually represented as a directed line segment, where the length of the segment corresponds to the magnitude of the vector, and the direction of the segment represents the direction of the vector.
A vector can be specified in terms of its components or coordinates, which are typically expressed as a sequence of numbers or symbols. For example, a two-dimensional vector can be written as (x, y), where x and y are the components of the vector along the x-axis and y-axis, respectively.
To find the sum of two vectors, we simply add their corresponding components.
So, for the given vectors u = (8, 1) and v = (-7, -1), their sum u + v can be computed as:
u + v = (8, 1) + (-7, -1) = (8 - 7, 1 - 1) = (1, 0)
Therefore, the sum of the given vectors u and v is (1, 0).
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This is due at midnight can I have some help :>
The distance between town 1 and 2 is 83 miles
What is word problem?Word problem in math is a math question written as one sentence or more. This statements are interpreted into mathematical equation or expression.
The distance between Town 1 and 3 is 110 miles and the distance between Town 2 and town 3 is 27miles.
Therefore the distance between town 1 and 2 is the difference between distance between town 1 and 3 and distance between town 2 and 3
This means that distance between town 1 and 2 = 110-27 = 83 miles.
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Does this table graph identify a linear, quadratic, or an Exponential function
X: -3, -2, -1, 0, 1
Y: 2, 8, 2, 1/2, 1/8
The table graph X: -3, -2, -1, 0, 1; Y: 2, 8, 2, 1/2, 1/8 identify an exponential function.
To determine if the function represented by this table is linear, quadratic, or exponential, we can look for a pattern in the ratios of consecutive y-values to consecutive x-values.
Ratio of (8-2)/(-2-(-3)) = 6/1 = 6Ratio of (2-8)/(-1-(-2)) = -6/1 = -6Ratio of (1/2-2)/(0-(-1)) = -3/2 = -1.5Ratio of (1/8-1/2)/(1-0) = -3/8The ratios of the consecutive y-values to consecutive x-values do not remain constant, indicating that the function is neither linear nor quadratic.Furthermore, the ratios decrease or increase depending on the direction of the movement, suggesting that the function is an exponential function.
Hence, we can conclude that the function represented by this table is an exponential function.
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6x2+15x=0
use the quadratic formula to solve. and describe the solution. show work
Answer: x = -2.5
Step-by-step explanation:
I think you meant 6x^2 + 15x = 0
6x^2 + 15x = 0
3x(2x + 5) = 0
2x + 5 = 0
2x = -5
x = -2.5
a friend has a 84% average before the final exam for a course. That score includes everything but the final, which counts for 30% of the course grade. What is the best course grade your friend can earn?
Answer:
To determine the best course grade your friend can earn, we need to know how much the final exam is worth. Since the final counts for 30% of the course grade, the remaining 70% must be from the other work completed so far. Let's assume that there's only one final exam and that it's graded out of 100 points. If your friend's current average is 84%, then they have earned 84 points out of every 100 possible points so far. To find the best course grade your friend can earn, we can set up the following equation: 0.7(84) + 0.3(F) = G where F is the score your friend earns on the final exam, and G is the overall course grade. We can solve for G by plugging in F and simplifying the equation: 0.7(
PLEASE HELP ASAP ILL GIVE BRAINLY!!!
(a) Write the quadratic regression equation that models the data. Let x = time in seconds
and let y = height in feet. Round all numbers to the nearest hundredth. (b) Use the equation to estimate the height of rocket after Show your work. 3 seconds
(a) A quadratic equation is in the form: y = -12.87x² + 42.22x + 1.18
(b) The height of the rocket after 3 seconds would be 12.01 feet.
What is a quadratic equation?A quadratic equation is a polynomial equation with a maximum degree of two. Any equation that can be written in the standard form where x is an unknown value, a, b, and c are known quantities, and a 0 is a quadratic equation.
Here, we have
Given: A rocket is launched upwards from the ground.
(a) A quadratic equation is in the form:
y = -12.87x² + 42.22x + 1.18
(b) When x = 3 seconds
y = -12.87(3)² + 42.22(3) + 1.18
y = 12.01 feet
Hence, the height of the rocket after 3 seconds is 12.01 feet.
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can somebody please do this with proof?
The quadrilateral ANDC is not cyclic because the four vertices of a quadrilateral ANDC do not lie on the circumference of the circle
Proving that ANDC is a cyclic quadrilateralA cyclic quadrilateral is a four-sided polygon where all four vertices of the quadrilateral lie on a common circle.
The circle is called the circumcircle, and it passes through all four vertices of the quadrilateral.
From the figure, we can see that only two vertices of ANDC lie on the circle
The other two are in the circle
Hence, the quadrilateral ANDC is not cyclic
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(Need help please and thank you!)
the roots are 5/2, -5/2
{2, 4, 4, 6, 9}
mean = 5
You add one number to this set.
Which number would change the mean the most?
O 20
O 1
O 5
Answer:
O 20
Step-by-step explanation:
when you add 1 and 5 the mean only changes by a little.
but, once you add the 20 it makes your answer go up drastically which makes
O 20
your correct answer.
Assuming that the confidence coefficient is 90%, then choose from the following concerning the z-value or t-value that would be used in the interval.
Thus, an interval with such a 90% confidence level has a z-score of 1.645.
Explain about the confidence interval/coefficient:An interval estimate of the mean is what the confidence limits for mean are. Since the estimation of the mean differs from sample to sample, interval estimates are frequently preferred.
A confidence interval produces a lower and upper limit for such mean rather than a single estimate of the mean. The interval estimate provides a clue as to the degree of uncertainty in our estimation of the true mean. Our estimate is more precise the narrower the interval.A confidence coefficient is used to express confidence boundaries. Although it is somewhat arbitrary to choose a confidence coefficient, 90%, 95%, and 99% intervals are frequently used in practise, with 95% being the most popular.From the positive z score table:
As 0.90 falls perfectly between the 1.64 and 1.65 z-scores, I shall calculate the z-score as 1.645.
Thus, an interval with such a 90% confidence level has a z-score of 1.645.
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Complete question:
Assuming that the confidence coefficient is 90%, then Find the the z-value that would be used in the interval.
A manufacturer sells its products to a wholesaler for $73 each. The
wholesaler then marks up those products and sells them to retailers
for $80.43. What is the wholesaler's markup rate? Round to the
nearest hundredth.
The wholesaler's markup is the difference between the selling price and the cost price, which is $80.43 - $73 = $7.43.
The markup rate can be found by dividing the markup by the cost price and multiplying by 100 to get a percentage:
markup rate = (markup / cost price) x 100%
markup rate = ($7.43 / $73) x 100%
markup rate = 10.17%
Therefore, the wholesaler's markup rate is 10.17%, rounded to the nearest hundredth.
Jake and carry 6 and 1/4 lb of wood in from the barn his father can carry one and five seven times as much as Jake how many pounds can Jake's father carry
Answer:
Jake's father can carry 10 and 5/7 lb of wood.
Step-by-step explanation:
Jake carried 6 and 1/4 lb of wood.
Let's convert this to an improper fraction:
6 and 1/4 = (4 * 6 + 1)/4 = 25/4
So, Jake carried 25/4 lb of wood.
Jake's father can carry 1 and 5/7 times as much as Jake.
Let's convert this to a fraction:
1 and 5/7 = (7 * 1 + 5)/7 = 12/7
So, Jake's father can carry 12/7 times as much as Jake.
To find out how many pounds Jake's father can carry, we need to multiply Jake's weight by 12/7:
Jake's father can carry = (25/4) * (12/7)
= (25 * 12) / (4 * 7)
= 300/28
= 10 and 5/7 lb (when simplified to a mixed number)
I poll is given showing 60% are in favor of a new building project if 10 people or chosen at random what is the probability that exactly 7 of them favor the new building project?
The probability that exactly 7 out of 10 people chosen at random favor the new building project is approximately 0.2010 or 20.10%.
To calculate the probability that exactly 7 out of 10 people chosen at random favor the new building project, we need to use the binomial probability formula, which is:
P(X = k) = [tex](n choose k) * p^k * (1-p)^(n-k)[/tex]
where:
n = 10 (the number of trials)
k = 7 (the number of successes we want to find)
p = 0.6 (the probability of success)
Using this formula, we can calculate the probability as:
P(X = 7) = (10 choose 7) * [tex]0.6^7 * (1-0.6)^(10-7)[/tex]
P(X = 7) = (10!/7!3!) * [tex]0.6^7 * 0.4^3[/tex]
P(X = 7) = 120 * 0.0279936 * 0.064
P(X = 7) = 0.2010 (rounded to four decimal places)
Therefore, around 0.2010 or 20.10% of people like the new building project, which is the probability that exactly 7 out of 10 randomly selected individuals will do so.
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What was the age distribution of prehistoric Native Americans? Suppose an extensive anthropological studies in the southwestern United States gave the following information about a prehistoric extended family group of 84 members on what is now a Native American reservation.
Age range (years) 1-10 11-20 21-30 31 and over
Number of individuals 35 22 20 7
For this community, estimate the mean age expressed in years, the sample variance, and the sample standard deviation. For the class 31 and over, use 35.5 as the class midpoint. (Round your answers to one decimal place.)
x =
years
s2 =
s =
years
The estimated mean age, sample variance, and sample standard deviation for a prehistoric extended family group of 84 members in the southwestern United States are 14.5 years, 83.5 square years, and 9.1 years, respectively.
To estimate the mean age, we need to calculate the weighted average of each age group's midpoint using their respective frequencies.
The midpoint of the first class (1-10 years) is 5.5, the midpoint of the second class (11-20 years) is 15.5, the midpoint of the third class (21-30 years) is 25.5, and the midpoint of the fourth class (31 and over) is 35.5.
To calculate the weighted average, we multiply each midpoint by its respective frequency, sum these products, and divide by the total number of individuals:
x = [tex]\frac{5.5 x 35 + 15.5 x 22 + 25.5 x 20 + 35.5 x 7}{84}[/tex] = 14.5 years
Therefore, the estimated mean age for this community is 14.5 years.
To calculate the sample variance and sample standard deviation, we first need to calculate the deviation of each observation from the mean. Then, we square each deviation, sum these squared deviations, and divide by n - 1 to get the sample variance.
Using the formula:
s2 = [tex]\frac{\sum_{i=1}^{n}(x_i - \bar{x})^2}{n-1}[/tex]
sample variance as follows:
s2 = [tex]\frac{[(1-10-14.5)^2 \times 35 + (11-20-14.5)^2 \times 22 + (21-30-14.5)^2 \times 20 + (35.5-14.5)^2 \times 7]}{83}[/tex] = 83.5
Therefore, the estimated sample variance for this community is 83.5 square years.
Using the formula:
s = [tex]\sqrt{s2}[/tex]
The sample standard deviation can be calculated as follows:
s = [tex]\sqrt{83.5}[/tex] = 9.1 years
Therefore, the estimated sample standard deviation for this community is 9.1 years.
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Solve the systems by substitution.
y = -x - 32
y = 5x
We can solve this system of equations by substitution. Since both equations are solved for y, we can set them equal to each other and solve for x.
y = -x - 32 ...(1)
y = 5x ...........(2)
Substituting (1) into (2), we get:
-x - 32 = 5x
Simplifying and solving for x, we have:
6x = -32
x = -32/6
x = -16/3
Now that we know x, we can substitute it back into either equation to solve for y. Let's use equation (2):
y = 5x
y = 5(-16/3)
y = -80/3
Therefore, the solution to the system of equations is (x, y) = (-16/3, -80/3).
Answer all the following with work shown
I hope this helps but i am not sure about the last qn.
The length of the longer leg of a right triangle is 22cm more than six times the length of the shorter leg. The length of the hypotenuse is 23cm more than six times the length of the shorter leg. Find the side lengths of the triangle.
The length of the shorter leg is 15cm, the length of the longer leg is 6x + 22 = 6(15) + 22 = 112cm, and the length of the hypotenuse is 6x + 23 = 6(15) + 23 = 113cm.
what is triangle?
A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.
Let's denote the length of the shorter leg by "x".
According to the problem statement, the length of the longer leg is 22cm more than six times the length of the shorter leg, so:
longer leg = 6x + 22
Also, the length of the hypotenuse is 23cm more than six times the length of the shorter leg, so:
hypotenuse = 6x + 23
Now, we know that this is a right triangle, so we can use the Pythagorean theorem to relate the side lengths:
shorter leg² + longer leg² = hypotenuse²
Substituting the expressions we found earlier, we get:
x² + (6x + 22)² = (6x + 23)²
Expanding the squared terms and simplifying, we obtain:
x² + 36x² + 264x + 484 = 36x² + 276x + 529
Subtracting 36x² + 276x + 529 from both sides, we get:
x² - 12x - 45 = 0
Now, we can solve for x by factoring the quadratic equation:
(x - 15)(x + 3) = 0
So, either x = 15 or x = -3. Since we're dealing with lengths, we discard the negative solution and take x = 15.
Therefore, the length of the shorter leg is 15cm, the length of the longer leg is 6x + 22 = 6(15) + 22 = 112cm, and the length of the hypotenuse is 6x + 23 = 6(15) + 23 = 113cm.
So the side lengths of the right triangle are 15cm, 112cm, and 113cm.
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Remika just got a new job!
• The job pays $8.50 per hour
During the first year, every 4 months there is a 2% raise in hourly pay.
At the end of one year, how much would Remika be paid hourly, to the nearest cent?
●
Do not enter the dollar sign ($).
Answer: 9.01
Step-by-step explanation: 8.5*0.02= 0.17 *3= 0.51+8.5=9.01
Select the correct answer from each drop-down menu.
AABC is similar to ADEF. The ratio of the perimeter of AABC to the perimeter of ADEF is 1:10. The longest side of ADEF measures 4
The length of the longest side of AABC is
2
4
16
30
units. The ratio of the area of AABC to the area of ADEF is 1:100 v
Reset
Next
The length of the longest side of AABC is 4 units, and the area of AABC is equal to the area of ADEF.
What is angle ?An angle is the figure formed by two rays or lines that share a common endpoint, called the vertex of the angle. The measure of an angle is usually given in degrees or radians and is determined by the amount of rotation between the two rays or lines. Angles are used in geometry and trigonometry to study shapes, distances, and other properties of objects.
According to the given information:Since AABC is similar to ADEF, the corresponding sides of the two triangles are proportional. Let the longest side of AABC be x. Then:
x/4 = 1/10 (since the ratio of the perimeters is 1:10)
Solving for x, we get:
x = 4/10 * 10 = 4
Therefore, the length of the longest side of AABC is 4 units.
Since the ratio of the areas of AABC to ADEF is 1:100, and we know that the longest side of ADEF measures 4, we can use the fact that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths:
Area of AABC / Area of ADEF =[tex](x/4)^2 = 1/100[/tex]
Substituting x = 4, we get:
Area of AABC / Area of ADEF[tex]= (4/4)^2 = 1[/tex]
So, the area of AABC is equal to the area of ADEF.
Therefore, The length of the longest side of AABC is 4 units, and the area of AABC is equal to the area of ADEF.
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In a recent year, 27.4% of all registered doctors were female. If there were 42,400 female registered doctors that year, what was the total number of registered doctors?
round answer to nearest whole number
the total number of doctors that were registered was about 154,744.
In a recent year, 27.4% of all registered doctors were female. If there were 42,400 female registered doctors that year,
Let's call the overall number of licensed physicians "x". We know that there were 42,400 female registered doctors in that year, making up 27.4% of all registered doctors.
To find x, we can construct the following equation:
0.274x = 42,400
x= 42,400 ÷0.274
x ≈ 154,744
Consequently, when rounded to the nearest whole number, the total number of doctors that were registered was about 154,744.
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Which function is represented by the graph?
The function which is represented by graph is y= √(-x-2) + 1. So correct option is C.
Describe Function?In mathematics, a function is a relation between two sets of objects in which each element of the first set (called the domain) is associated with exactly one element of the second set (called the range). The domain and range can be any sets, but they are usually subsets of the real numbers.
A function is typically denoted by a name, such as f(x), and is defined by an equation or a rule that specifies how the function operates on its inputs. The inputs to the function are typically denoted by x, and the outputs are denoted by f(x).
Functions can be represented graphically as well. The graph of a function is a visual representation of the relation between the input and output values. It is a plot of the input values on the x-axis and the output values on the y-axis.
Functions can be classified in various ways, such as linear, quadratic, exponential, trigonometric, etc. The behavior of a function can also be analyzed by looking at its domain and range, its symmetry, its intercepts, and its slope.
The function which is represented by graph is y= √(-x-2) + 1. So correct option is C.
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