Answer:
There are generally 3 methods to solve inequalities
Step-by-step explanation:
By algebraic method
Example 1: Solve: 2x - 7 < x - 5
2x - x < 7 - 5
x < 2
By the number-line method.
Example 2. Solve
f
(
x
)
=
x
2
+
2
x
−
3
<
0
First, solve f(x) = 0. There are 2 real roots x1 = 1, and x2 = - 3.
Replace x = 0 into f(x). We find f(0) = - 3 < 0. Therefor, the origin O is located inside the solution set.
Answer by interval: (- 3, 1)
--------------------- - 3 ++++++++ 0 ++++ 1 ----------------
3.By graphing method.
Example 2. Solve:
f
(
x
)
=
x
2
+
2
x
−
3
<
0
.
The graph of f(x) is an upward parabola (a > 0), that intersects the x-axis at x1 = 1 and x2 = - 3. Inside the interval (-3, 1), the parabola stays below the x-axis --> f(x) < 0.
Therefor, the solution set is the open interval (-3, 1)
graph{x^2 + 2x - 3 [-10, 10, -5, 5]}
hey please help i’ll give brain
Answer:
First, the dropdown is 9. Second, put in 9. The answer is 81.
Step-by-step explanation:
10* what equals 90? Well, let's do 90/10, our answer is 9. Then We are given 1 nine or 9 to put on the second slot. Our answer would be 90-9, or 81. Khan Academy is teaching you how to multiply.
Answer:
[tex]9 \times 9 = 10nines - 1nine \\ 9 \times 9 = 90 - 9 \\ 9 \times 9 = 81 \\ than \: you[/tex]
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
Marking brainliest
What else can I write for my last bullet
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
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
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
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]
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.
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]
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.
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 = 15Write 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]
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
Which of the following describes a linear function?
A. 3(x + 2y) - 4 = x + 5y
B. ax2 + bx + c = 0
c. (a + b)?
D. A = ?
Answer:
A
Step-by-step explanation:
Linear equation involves two variables with the power of 1. B is quadratic equation
C and D are not even equations
Find the value of unknown side
Answer:
hope this helps you
have a great day
Find the line segment
Answer:
[tex]l \: is \: mid \: point \: here \: so \\ 9x - 16 = 7x + 10 \\ x \: terms \: togather \\ 9x - 7x = 10 + 16 \\ 2x = 26 \\ x = \frac{26}{2} \\ x = 13 \\ option \: (3) \\ thank \: you[/tex]
PLEASE HELP I WILL MARK BRAINIEST IF THE ANSWER IS CORRECT!!!!!!!!
6. In triangle ABC, the length of side AB is 12 inches and the length of side BC is 20 inches Which of the following could be the length
of side AC?
A. 6 inches
B. 34 inches
C. 18 inches
D 37 inches
Answer:
C
Step-by-step explanation:
In this situation the two lowest sides, 12 and 18, add to higher than the longest side. This is the only answer that does so.
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:
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.
https://brainly.com/question/15765264
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
Please help me asap
What is answer to 3+2•5•8
ORDER FROM SMALLEST TO LARGEST
Answer:
Option D
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day
f(a)=(a+2)^2
g(a)=5a+4
g(f(-2))
Evaluate g(f(-2)) = ???
Answer:
-2gf
Step-by-step explanation:
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)
Divide. Write your answer as a decimal.
−3.45÷(−15)=
calculate the surface area of a cylinder with diameter 26,5 and height 63,7
Answer:
A≈1633.63
Step-by-step explanation:
d Diameter 26
h heigth 7
A=2πd
2h+2π(d
2)2=2·π·26
2·7+2·π·(26
2)2≈1633.62818
yooo cuhh's is the square root of 64 a rational or irrational . ( and is it natural or a real number
Answer:
Step-by-step explanation:
It's an integer (which includes the minus number).
It can be a natural number (if the value of an expression comes to +/- 8 and for some reason - 8 is not permitted because it's a length)
It is for certain a real number.
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