From the graph of the function, determine the domain and the range.
Domain: (-4,4) Range: (-3, 0]
Domain: (-4, -2] Range: (-1,0)
Domain: (-4, -2] Range: (-3,0)
Domain: (-4, 3] Range: (1, 0)
Hey there! :)
Domain is the set of all x-values while Range is the set of all y-values!
When we want to find the domain of functiom through graph, we can do by finding the left point first and then the right point in x-plane or horizontal line.
The left point is (-4,0) and the right point is (4,0)
Since both points are opened, we use ( and ) instead.
Hence, the domain is (-4,4)
Next is finding range. Range is similar to Domain but y-value. You can find the range by finding the minimum point first then maximum point in y-plane or vertical line.
From the graph, minimum point is (-1,-3) and maximum point is (-4,0),(1,0) and (4,0)
Remember that we use the y-coordinate point for range! The minimum point and maximum point (1,0) both are closed dot. Since they are closed dot, we use [ or ].
Therefore, the range is [-3,0]
In conclusion, the answer is first choice.
Let me know if you have any questions!
Topic: Functions / Domain & Range
Jace has consumed 1,500 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 1,900 calories per day. How many calories does he have left to consume for the day? Is 1,100 a viable solution to this problem?
Yes; 1,100 is less than 1,500.
No; 1,100 is more than the 400 he burned off at the gym.
No; 1,100 will cause him to exceed 1,900.
Yes; 1,100 is less than 1,900.
Answer:
Option 3
Step-by-step explanation:
If he burned off 400 calories from 1500 consumed calories, he has 1100 consumed calories. 1900 - 1100 = 800 calories left to consume.
While option 2 also says no, it's not the right reason.
The calories left to consume for the day is 800 calories.
No, 1,100 will cause him to exceed 1,900.
Given,
Jace has consumed 1,500 calories so far today.
He has also burned off 400 calories at the gym.
He would like to keep his daily calorie total to 1,900 calories per day.
We need to find how many calories he has left to consume for the day.
And see which option is the best choice.
We have,
Calories consumed in a day = 1500
Burned calories = 400
Calories to keep in a day = 1900
Find the Calories left
= 1500 - 400
= 1100
Find how many calories need to be consumed to keep 1900 calories.
= Calories needed to keep in a day - calories remaining after burned
= 1900 - 1100
= 800
We see that the calories left to consume is 800 calories.
So 1100 is not a viable solution. It will cause him to exceed 1,900.
Thus,
The calories left to consume for the day is 800 calories.
No, 1,100 will cause him to exceed 1,900.
Learn more about finding the calories needed to consumed to keep daily calories here:
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Evaluate
13) What number is 10% of 80?
Answer:
8
Step-by-step explanation:
because it is
Show that the statement is true. If JK has endpoints J(−2, 1) and K(4, 3), and LN has endpoints L(0, 3) and N(2, 1) then JK and LN have the same midpoint.
yes they both have the same midpoint of (1,2)
Step-by-step explanation:For the midpoint of JK
[tex](\frac{-2+4}{2}, \frac{1+3}{2} )[/tex]
[tex](\frac{2}{2}, \frac{4}{2} )[/tex]
(1,2)
then for LN
[tex](\frac{0+2}{2}, \frac{3+1}{2} )[/tex]
[tex](\frac{2}{2}, \frac{4}{2} )[/tex]
(1,2)
if 0 subtracted from a number the difference is the
If 0 is subtracted from any number, then the result is the Number itself.
Example :-
25 - 0 = 2510 - 0 = 101 - 0 = 115 - 0 = 15Complete the table for the given rule. Rule: y = 4x
x | Y
5 | fill in
3 | fill in
4 | fill in
Answer:
5 | 20
3 | 12
4 | 16
Step-by-step explanation:
y = 4x so just multiply each x value by 4 to get the y value
Answer:
X | Y
5 | 20
3 |12
4 |16
Step-by-step explanation:
What they actually means is
y=4x
So when x is 5, what is y? So u just change x to 5, since they told u x is 5
And same for the others
5^2x = 3(2^x) find x please show steps
Step-by-step explanation:
the answer is in the image above
Answer:
Step-by-step explanation:
There is a possible issue in your question...
As written it can be interpreted in two ways
like this #1 :
[tex]5^{2x} = 3(2^x)[/tex]
or like this #2 :
[tex]5^2x = 3(2^x)[/tex]
VERSION #1
divide by the 2^x
[tex]\frac{5^{2x} }{2^x} = 3[/tex]
to be able to get to the exponent you have to take "logs"
... look up the rules for logs ... log(ab) = log (a)+log(b) , log(a/b) = log(a)-log(b) etc.
if you take the logs of both sides the using the quotient rule and the exponent rule ....result the result is...
[tex]5^{2x}=3\left(2^x\right)\quad :\quad x=\frac{\ln \left(3\right)}{2\ln \left(5\right)-\ln \left(2\right)}\quad \left(\mathrm{Decimal}:\quad x=0.43496\dots \right)[/tex]
VERSION #2
[tex]5^2x\:=\:3\left(2^x\right)[/tex]
25 x = 3(2^x)
[tex]\frac{25}{3} = \frac{2^{x} }{x}[/tex]
This gets really nasty, and I assume that it is not the original problem..
[tex]x=-\frac{\text{W}_{-1}\left(-\frac{3\ln \left(2\right)}{25}\right)}{\ln \left(2\right)},\:x=-\frac{\text{W}_0\left(-\frac{3\ln \left(2\right)}{25}\right)}{\ln \left(2\right)}\quad \mathrm{ }:\quad x=5.52482 ,\:x=0.13144[/tex]
Please help me with 23
Solve for d
Answer: 72 degrees, if I read the question correctly.
Step-by-step explanation: The sum of all the angles in a complete circle is 360 degrees. Angles oppor=site each other are equal, so we have two angles of 95 degrees each, for a total of 190. That leaves 170 for the other two angles, which are also equal, So they must 85 each. If I read the diagram correctly, it assigned this angle equal to d + 13, I have no clue why, but if so:
d + 13 = 85
d = 72 degrees
One day Dillan worked from 8:00 AM to 1:00 PM, took a break for lunch, and then
worked from 1:30 PM to 6:00 PM. How many total hours did he work?
2
9.5 hours
8 hours
9 hours
8.5 hours
Answer:
Dillan worked for a total of 9.5 hours.
Step-by-step explanation:
8:00am to 1:00pm is a total of 5 hours,
1:30 to 6pm is a total of 4.5 hours, So 5+4.5= 9.5
write each expression as a single power of 10
Answer:
10 to the power of 4
Step-by-step explanation:
[tex](10^{5} )^{2} \\= 10^{10} \\\\(10^{2})^3\\= 10^(6)\\\\[/tex]
You then subtract the powers since you are dividing by the same base exponent of 10.
10 - 6 = 4
10^4
Marking brainliest
What else can I write for my last bullet
What is answer to 3+2•5•8
Frances earns $9.25 an hour at his part-time job. Last week he worked 16 hours.
What was his gross pay for the week?
Answer:
$148
Step-by-step explanation:
$9.25 x 16 hours = $148
f(a)=(a+2)^2
g(a)=5a+4
g(f(-2))
Evaluate g(f(-2)) = ???
Answer:
-2gf
Step-by-step explanation:
Andrew bought four bottles of lemonade and two bottles of water for €2.45. From the same shop Michael
bought two bottles of lemonade and four bottles of water for €2.35. What is the total cost of one bottle of
lemonade and one bottle of water?
Answer:
0.8 euro
Step-by-step explanation:
Suppose the price of bottle of lemonade is x, when the bottle of water costs y.
Four bottles of lemonade cost 4x, two bottles of water cost 2y
4x+2y=2.45
Two bottles of lemonade cost 2x, four bottles of water cost 4y
2x+4y= 2.35
These equations( 4x+2y=2.45 and 2x+4y= 2.35) are simultaneous, so
multiply the first one by -2
-8x-4y=-4.9
-8x-4y+2x+4y= -4.9+2.35
-6x=-2.55
x=0.425 euro - the cost of bottle of lemonade
y=(2.45-4*0.425)/2
y=0.375 euro - the cost of bottle of water
0.425+0.375= 0.8 euro - the total cost of one bottle of
lemonade and one bottle of water
Answer:
price of lenonade bottle is 0.425
price of water bottle is 0.375
Step-by-step explanation:
In explaination, 'x' is the value of lemonade bottle and 'y' is the value of water bottle.
All explaination is in picture below.
ORDER FROM SMALLEST TO LARGEST
Answer:
Option D
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day
An object travels back and forth along a straight line. Its velocity, in centimeters per second, is given by the
function v(t)
= 13 sin(pi/(45)t), where t is time in seconds.
What is the maximum velocity of the object?
O 0 cm/s
O 13 cm/s
O 26 cm/s
O 90 cm/s
A function in mathematics is a relation between two sets such that each element of the first set is matched to exactly one of the second set element
The correct option for the maximum velocity of the object is the option;
13 cm/s
The reason for the selection is as follows:
The known parameters of the motion of the vehicle are:
The type motion of the vehicle = Repetitive back and forth
The path of the motion of the object = Along a straight line
The function that gives the velocity in centimeters per second (cm/s) is given as follows;
[tex]v(t) = \mathbf{13 \cdot sin \left(\dfrac{\pi}{45} \cdot t \right)}[/tex]
Where;
t = The time in seconds (a set of the input variables of the function)
v(t) = The velocity of the object (the output variables of the function)
The velocity of the object, v(t), depends (is given by) on the time t, therefore;
The maximum velocity is given at a particular value of t, which together with [tex]\dfrac{\pi}{45}[/tex] is operated by the sine function
The maximum output value of the sine function = 1, therefore;
[tex]\mathbf{Maximum \ value \ of \ sin \left(\dfrac{\pi}{45} \cdot t \right)_{max}} = 1[/tex]
[tex]The \ maximum \ velocity \ v(t)_{max}} = 13 \times sin \left(\dfrac{\pi}{45} \cdot t \right)_{max} = 13 \times 1 = \mathbf{ 13}[/tex]
The units of the of the function is cm/s
Therefore, the maximum velocity of the object is 13 cm/s
Learn more about functions here:
https://brainly.com/question/23999020
Answer: B. 13 cm/s
Step-by-step explanation:
Write the conjugate of the following complex
number:
-6i
Answer:
[tex]6i[/tex]
Step-by-step explanation:
We want to write the conjugate of the complex number:
[tex]-6i[/tex]
Recall that the conjugate of a complex number in the form a + bi is a - bi, and vice versa.
We can rewrite our complex number as:
[tex]\displaystyle 0 - 6i[/tex]
Hence, a = 0 and b = 6.
Then its conjugate will be:
[tex]0 + 6i = 6i[/tex]
Solve this function problem plzzzz
Answer:
[tex]{ \bf{h( - 2) = \sqrt{ - 2} + \frac{1}{2} ( - 2) }} \\ \\ = i \sqrt{2} + - 1[/tex]
[tex]{ \bf{h(0) = \sqrt{0} + \frac{1}{2} \times 0}} \\ \\ = 0[/tex]
[tex]{ \bf{h(4) = \sqrt{4} + \frac{1}{2} \times 4}} \\ = 2 + 2 \\ = 4[/tex]
how long train take to cover 162 1/2 km at an avarage speed of 40km/hr
Answer:
4 hours and 3.75 minutes
Step-by-step explanation:
[tex]162\frac{1}{2}\div40\\= 4.0625or4\frac{5}{80} or 4\frac{1}{16}[/tex]
This would be 4 hours and 3.75 minutes
Find the value of unknown side
Answer:
hope this helps you
have a great day
Simplify 1.7+(-5)+(3.27)=
Hi! I'm happy to help!
To solve this, we have to use the order of operations, or PEMDAS. (parenthesis, exponents, multiplication or division, and addition or subtraction)
We will start out with parenthesis. Since there are no expressions inside of the parenthesis, we can remove them.
But, before we do that, we have a positive negative, the negative form of positive is negative, so we remove the plus sign as well as the parenthesis.
1.7+(-5)+(3.27)=
1.7-5+3.27=
Now since we have no exponents, multiplication, or division, we move on to addition or subtraction. We have some of both, so we move from left to right.
Our first equation is 1.7-5, so we do that first.
1.7-5+3.27=
-3.3+3.27=
Now, we only have one addition problem left, -3.3+3.27, so we'll do that.
-3.3+3.27=
-0.03
After this equation is fully simplified, we are at -0.03!
I hope this was helpful, keep learning! :D
The perimeter of a rectangle is 36 feet. The length is 2 feet more than 3 times the width. What are the dimensions of the rectangle?
Answer:
Step-by-step explanation:
The perimeter (P) of a rectangle is equal to the sum of twice the length and twice the width.
For this problem, let x be the width.
Then because the length is 2 less than 3 times the width
The length is 3x - 2
Therefore, P = 2x + (2)(3x - 2) = 36
Solving this for x gives:
2x + 6x - 4 = 36
8x - 4 = 36
8x = 40
x = 5
Therefore, the width = x = 5 feet
And the length = 3x - 2 = (3)(5) - 2 = 13 feet
A triangle has two sides of length 16 and 2. What is the smallest possible whole-number length for the third side?\
please solve, hurry if you can
Answer:
x = -7
Step-by-step explanation:
3(x+8)=3
3x+24 = 3
-24 -24
3x = -21
3x -21
3 3
x = -7
Answer:
Fill the boxes with x & 8
See the image.
16d+23=14(d−2) what does d=
Step-by-step explanation:
16d+23=14(d−2)
16d+23=14d−28
16d-14d=-28-23
2d=-51
d=51/2
d=25.5
Answer:
d= -25.5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that dont contain the variable.
exact form: d=[tex]-\frac{51}{2}[/tex]
decimal form: d= -25.5
Mixed number form: d= [tex]-25\frac{1}{2}[/tex]
Find the measure of x in the figure.
Write the equation or you will no get full credits
This is Complementary angle
Measure of Complementary angles is 90°
[tex]\bf \large{\purple{ \implies}} \rm \:(2x) \degree \: + \: 40 \degree \: = \: 90 \degree[/tex]
[tex]\bf \large{\purple{ \implies}} \rm \:(2x) \degree \: = \: \: 90 \degree \: - \: 40 \degree[/tex]
[tex]\bf \large{\purple{ \implies}} \rm \:(2x) \degree \: = \: \: 50 \degree[/tex]
[tex]\bf \large{\purple{ \implies}} \rm \:(x) \: = \: \:\frac{ \cancel{50 \degree} \: ^{25 \degree} }{ \cancel{2 \degree}} \\ [/tex]
[tex]\bf \large{\purple{ \implies}} \rm \:x \: = \: 25 \degree[/tex]
Find (dy/dx) when x=2at,y=at^2
Answer:
https://www.teachoo.com/3815/705/Example-35---Find-dy-dx--if-x--at2--y--2at---Class-12-CBSE-/category/Examples/
WILL MARK BRAINLIEST HELP PLEASEEE
This is the graph.
Type of Factor Beginning Frog Count Simulation 1 (Low) Simulation 2 (High)
Predators (alligators) 50k 90k 10k
Pollution 50k 50k 35k
Food (mosquitoes) 50k 25k 85k
Use the graphs you printed from the data chart in the virtual lab and analyze the data. Make a note of any trends that you discover.
Predators (alligators):
Pollution:
Food (mosquitoes):
Answer:
Predators (alligators): increased but then sharply decreased
Pollution: stayed the same but then decreased
Food (mosquitoes): decreased but quickly increased
Step-by-step explanation:
i d k what you want me to really do but this is what I think
A school administrator surveyed high school sophomores about their expectations for college attendance. One question asked was: "What do you think the chances are that you will graduate from college?" Their responses are shown below in the two-way table by gender.
The percentage of males in the distribution is 46% and it represents the marginal distribution of males in the population.
To obtain the percentage of males out of the total respondent ; we use the relation ;
Number of males / total number of respondents
Number of males = (31 + 34 + 64 + 109 + 75) = 313
Number of females = (22 + 70 + 70 + 112 + 98) = 372
Total number of respondents = (number of males + number of females) = (313 + 372) = 685
Percentage of males = (313 / 685) × 100% = 45.69% = 46%
This percentage represents the marginal distribution of males as it is the percentage of just one of the random variables.
If the percentage represents more than one such that one variable depends on the other, then it would have represented a conditional distribution.
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