A function g models a relationship in which the dependent variable doubles for every 3 units the independent variable increases.
Answers
Answer:
x-intercept = 3
y-intercept = -2
Step-by-step explanation:
P.S - The exact question is -
Given - A function g models a relationship in which the dependent variable doubles for every 3 units the independent variable increases.
To find - Graph g when g(0) = -2. Identify the y-intercept and x-intercept.
Proof -
By using the given information , we get
g(x) = [tex]\frac{2}{3} x - 2[/tex]
g(0) = 0 - 2 = -2
It also satisfy the condition g(0) = -2
Here,
by comparing with general form of slope-intercept form y = mx + c
where m = slope, c = y-intercept
Slope, m = [tex]\frac{2}{3}[/tex]
For x-intercept,
Put y = 0
⇒[tex]\frac{2}{3} x - 2[/tex] = 0
⇒[tex]\frac{2}{3}x = 2[/tex]
⇒x = 3
So,
x-intercept = 3
For y-intercept,
Put x = 0
⇒y = 0 - 2
⇒y = 2
∴
y-intercept = -2
Related Questions
Find the perimeter of the squash
Answers
Answer:
5x^2-18x -8
Step-by-step explanation:
2. Simplify each expression.
6n + 3 + 2n
99-9-9
2p + 3p+ 6-p-3
2.25(14.3m + 6 + 2.7m)
Answers
Answer:
[tex]6n + 3 + 2n = 8n + 3[/tex]
[tex]99-9-9 = 81[/tex]
[tex]2p + 3p+ 6-p-3 = 4p + 3[/tex]
[tex]2.25(14.3m + 6 + 2.7m) = 38.25m + 15.5[/tex]
if the mean of 12,16,22,X 28 is 19.6 find X
Answers
Answer:
20
Step-by-step explanation:
A data is given and the mean of data is 19.6 .The data is ,
12 , 16 , 22 , x , 28 .
We know that the mean is sum of observations divided by Total number of observations . So that ,
⇒ 12 + 16 + 22 + x + 28/ 5 = 19.6
⇒ 78+x/5 = 19.6
⇒ 19.6 × 5 = 78 + x
⇒ 78 + x = 98
⇒ x = 98 - 78
⇒ x = 20
Hence the value of x is 20 .complete the equation of this circle
Answers
Answer:
(x - 3)² + (y - 2)² = 16
Step-by-step explanation:
The center of the circle is (3, 2).
The radius of the circle is 4.
(x - 3)² + (y - 2)² = 4²
Answer: (x - 3)² + (y - 2)² = 16
The complete equation of this circle with center (3, 2) and radius 4 units is
(x - 3)² + (y - 2)² = 4²
Used the concept of the equation of the circle which stated that,
The standard form of the equation of a circle is,
(x - h)² + (y - k)² = r²
Where, (h, k) is the center of the circle and 'r' is the radius of the circle.
Given that,
The center of the circle is (3, 2).
And, The radius of the circle is 4.
Here, (h, k) = (3, 2)
And, r = 4
Substitute all the values in the standard form of the equation of a circle,
(x - 3)² + (y - 2)² = 4²
Therefore, the equation of a circle,
(x - 3)² + (y - 2)² = 16
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us
Find the point-slope equation for
the line that passes through the
points (-6, 24) and (5, -31). Use
the first point in your equation.
Answers
Answer:
first box is 24
second is -5
third is -6
Step-by-step explanation:
What are the steps to solving this?
Answers
Answer:
m = 6[tex]\sqrt{3}[/tex] , n = 6
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{m}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2m = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
m = 6[tex]\sqrt{3}[/tex]
and
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{n}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2n = 12 ( divide both sides by 2 )
n = 6
Two of the angles in a triangle measure 57° and 73°. What is the measure of the third angle?
Answers
Answer:
The third angle is 50°
Step-by-step explanation:
In a triangle, all the angles must add up to 180° such that:
[tex]180= a+b+c[/tex] where a , b, and c are all angles
Since we know that two of the angles are 57° and 73°, we can subtract them from 180° to find the third angle.
Using the above equation, we can rearrange it to solve for the missing value:
180°= a + b + c
180°=57°+ 73° +c Substitute the angles in for any 2 variables
180°- 57°-73°= c Rearrange the equation to solve for last variable
50°= c
The third angle is 50°
Find the volume of the rectangular pyramid please help me guys
Answers
Answer:
160 ft^3
Step-by-step explanation:
The volume formula is the same as a rectangular prism, lwh
So if we plug in the numbers, it'd be 12*4*10
Which equals 160 :))
Answer:
160
Step-by-step explanation:
v = L * W * H / 3
what is the solution to the equation?
x=3
x=1
x=-1
x=-3
Answers
Answer:
x= - 3
Step-by-step explanation:
2x - 3= 4x + 3
2x = - 6
x = - 3
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What
is the probability that the ticket drawn has a number which is a multiple of 3?
Answers
Multiples: 3,6,9,12,15,18
If fx) and f^-1(x) and inverse functions of each other and f(x) =2x+5, what is f^-1(8)?
PLZ HELP
Answers
Answer:
b. 3/2
Step-by-step explanation:
the quality rating of 8 movies showing at a movie theater near you is 5.6, 7.9, 7.0, 5.9, 7.8, 6.2, 6.4, and 5.2. What do the ninth movies need to be for the theater to average a movie rating of 6.4?
Answers
Answer:
5.6
Step-by-step explanation:
Given :
Quality rating for 8 movies :
5.6, 7.9, 7.0, 5.9, 7.8, 6.2, 6.4, 5.2
Let rating for the 9th movie = x
Average quality rating olfor the 9 movies = 6.4
To find x :
Sum of all ratings / number of ratings = 6.4
(5.6 + 7.9 + 7.0 + 5.9 + 7.8 + 6.2 + 6.4 + 5.2 + x) / 9 = 6.4
(52 + x) / 9 = 6.4
52 + x = 57.6
x = 57.6 - 52
x = 5.6
15 points shawtyssss
Answers
Answer:
Step-by-step explanation:
Find the worth of B and E and add them
The length of the diagonal of a television screen is 20 inches and the height of the screen is 12
inches.
Which of the following is the width of the television screen?
Answers
Answer:
16
Step-by-step explanation:
b2=a2-c2 (squared)
20 2 - 12 2= 16
Answer:
16
Step-by-step explanation:
2. Three states of matter exist - solid, liquid, and gas. Which of the following are the common properties of liquid?
А It has no definite shape or volume
В. It has definite shape and no definite volume,
С. It has a definite shape and has definite volume
D It has a definite volume but take the shape of the container
Answers
Answer:
I am gonna say D for this one
Answer:
A
Step-by-step explanation:
water has yet to be formed. its molecules move around like crazy so it stays a liquid.
Please help- will give brainlist. If possible please tell me how you got the answer.
Answers
Answer:
Area is 124.8999
Trevor is considering two loan options for
buying a home in Haslet.
Thrifty Hometown
Bank Bank
Loan
$124,000 $124,000
Amount
Interest Rate 3%
4%
Time
Monthly
$856.32 $591.99
Payment
15 years
30 years
Which describes the relationship between the
total amounts that Trevor would pay over the
course of the two loans?
a. He would pay $47,638.80 more with
the Hometown Bank loan.
b. He would pay $47,638.80 more with
the Thrifty Bank loan.
c. He would pay $58,978.80 more with
the Hometown Bank loan.
d. He would pay $58,978.80 more with
the Thrifty Bank loan.
Answers
The Foley Products Company has designed a new blend of concrete they believe will be twice as strong as their current high quality concrete. This new blend of concrete is believed to produce batches with a population mean strength of 15,000 psi and a population standard deviation of 2,000 psi. To validate this belief, they collect a random sample of 49 concrete batches out of all the batches produced at their plant in a particular week. The mean strength of the random sample of 49 concrete batches is measured to be 14,731 psi. Select the correct description of the population in this study.
Answers
Answer:
All of the batches of the new blend of concrete made at their plant in a particular week.
Step-by-step explanation:
The population refers to all the subjects or data which which meets the condition or requirement of a certain experiment or research. This means that all the set of similar items or subjects which is of interest in a certain study is the population. In the scenario above, the population will be the set of all the new blend concrete which are made in the plant within a certain week. Thereafter, if a sample is required it will be drawn from these set of data or observation.
There are five loaves of bread shared among a group of teachers each teacher has 1/5 of his or her share how many teachers had an equal amount of share
Answers
Answer:
25
Step-by-step explanation:
number of teachers that got an equal amount = total loves of bread ÷ fraction the bread is shared
5 ÷ 1/5
5 x 5 = 25
what's -8x is less than or equal to 56
Answers
Answer:
x ≥ - 7
Step-by-step explanation:
Given
- 8x ≤ 56
Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.
x ≥ - 7
What is the numerical probability of selecting a jury with 10 men and 2 women?
out of 29 men and 26 women
Answers
Answer:
Let E denote the event of choosing a jury with 10 men and 2 women.
The sample space for selecting 12 members from the pool contains 55C12 elements.
The number of ways of selecting 10 men and 2 women is 26C10 29C2.
The probability of event E =
The probability of selecting a jury with 10 men and 2 women is 0.005 (0.5%).
Step-by-step explanation:
see the image :
Answer:
The probability of selecting a jury with 10 men and 2 women out of out of 29 men and 26 women is 0.005 (0.5%)
Step-by-step explanation:
Let P(E) denote the probability of choosing a jury with 10 men and 2 women out of 29 men and 26 women.
The sample space for selecting 12 members from the total no of member will be 55c12
The number of ways of selecting 10 men and 2 women is 26c10 29c2.
The probability of event E = [tex]$=P(E)=\frac{{ }_{20} C_{10} \times{ }_{20} C_{2}}{-C_{12}}$[/tex]
[tex]$=\frac{5,311,735 \times 406}{438,729,741,450}$[/tex] [tex]$=0.005$.[/tex]
The probability of selecting a jury with 10 men and 2 women is 0.005 (0.5%).
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Express the height of the tower in terms of trigonometric ratios. A) 35(cos95°) B) 95(tan35°) C) 95(cot35°) D) 95(sin35°)
Answers
Answer:
95tan35°
Step-by-step explanation:
Find the diagram attached
Given the following
Adjacent = 95m
Opposite = height of the tower
Angle of elevation = 35degrees
Using SOH CAH TOA
tan theta = opp/adj
Tan 35 = h/95
Cross multiply
95 * tan 35 = h
95tan35 = h
Swap
h = 95tan35
Hence then the height of the tower in terms of trigonometric ratios is 95tan35°
If 23,600,000 is written as 2.36 x 10" what is the value of n?
Answers
Step-by-step explanation:
there are 7 decimal places from between 2 and 3 to the very end. so the answer is 7
Answer: 2.36x^10
Step-by-step explanation:
Given a special license plate tag consists of 5 characters for a small country. The first
characters is a digit between 1-6. The second and third characters are letters that
can not repeat. The last two characters can be any digits. How many unique tags
are possible?
351,000 tags
405,600 tags
325,000 tags
390,000 tags
Answers
Answer:
D
Step-by-step explanation:
Remark
First characters: 6 choices
Second two characters: 25 * 26
Third set of 2: 10 * 10 = 100
6 * 25 * 26 * 100 = 390000
Which of the following identifying information is contained in a credit report?
A. Height and weight
B. Driver’s license number
C. Employment history
D. All of the above
Answers
Paula is making posters for the school election. The table shows the number of posters, , she can make in m minutes. which equation represents the relationship between the number of posters she can make and the time and minutes it takes her to make the posters. please help
Answers
Answer:
KitKat
Step-by-step explanationKitKat
Through any two points there is exactly one______
Answers
pleaseee what is ittt
Answers
Answer:
positive slope is shown by the graph
1/2n+3=6
what does n equal?
Answers
Answer:
[tex]n = \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{1}{2n} + 3 = 6[/tex]
[tex] \frac{1}{2n} = 6 - 3[/tex]
[tex] \frac{1}{2n} = 3[/tex]
[tex]1 = 6n[/tex]
[tex]n = \frac{1}{6} [/tex]
calculate the mean deviation for the number 75 85 96 100 121 125
Answers
Answer:
i got 15.1
Step-by-step explanation: