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tamaranim1 [39]
2 years ago
9

Here’s a graph of a linear function. Write the equation that describes that function. (Zoom in if blurry)

Mathematics
1 answer:
Maru [420]2 years ago
5 0

Answer: y = x/2 + 3

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m = change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

Looking at the graph,

y2 = 6

y1 = 4

x2 = 6

x1 = 2

Slope,m = (6 - 4)/(6 - 2) = 2/4 = 1/2

To determine the intercept, we would substitute x = 2, y = 4 and m= 1/2 into y = mx + c. It becomes

4 = 1/2 × 2 + c

4 = 1 + c

c = 4 - 1

c = 3

The equation becomes

y = x/2 + 3

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See attached questionthe last line is N (not visible line)
algol13

The figure has reflective symmetry about a line if that line divides the figure in two similar parts, which are reflections of one another.

Notice that the two figures formed when the shape is divided by line k are not similar, since one has 7 vertices and the other just 4.

Notice that the two figures formed when the shape is divided by line m are not similar, since one has 7 vertices and the other just 4.

The line l divides the figure in two shape, one is a trapezoid and the other isn't.

Only line n divides the figure in two similar shapes.

Therefore, the correct choice is B) n only.

8 0
1 year ago
if p(x) = x+ 7/ x-1 and q (x) = x^2 + x - 2, what is the product of p(3) and q(2)? a. 50 b. 45 c. 40 d. 20 e. 6
Amanda [17]

Answer:

d. 20

Step-by-step explanation:

To answer the question given, we will follow the steps below:

we need to first find p(3)

p(x) = x+ 7/ x-1

we will replace all x by 3 in the equation above

p(3) = 3+7 / 3-1

p(3) = 10/2

p(3) = 5

Similarly to find q(2)

q (x) = x^2 + x - 2,

we will replace x by 2 in the equation above

q (2) = 2^2 + 2 - 2

q (2) = 4 + 0

q (2) = 4

The product of p(3) and q(2)   =   5 × 4   = 20

6 0
2 years ago
When building a house, the number of days required to build varies inversely with with the number of workers. One house was buil
Leya [2.2K]

Answer:

152 days

The drawing will help

3 0
3 years ago
How do I find a surface area of a prism <br>​
ikadub [295]
Depends on the prism!

Here are the basic ones:

SA of rectangular prism = 2lw + 2wh + 2lh OR 2(lw+wh+lh)

SA of triangular prism = 2*area of base + perimeter of base*height
4 0
2 years ago
Weights of American adults are normally distributed with a mean of 180 pounds and a standard deviation of 8 pounds. What is the
Leto [7]

Answer:

There is 16.2% probability that a randomly selected individual will be between 185 and 190 pounds

Step-by-step explanation:

Z score

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

where μ is the mean, x = raw score and σ is the standard deviation.

Given μ = 180, σ = 8.

For x = 185:

z = (185 - 180)/8 = 0.625

For x = 190:

z = (190 - 180)/8 = 1.25

P(185 < x < 190) = P(0.625 < z < 1.25) = P(z < 1.25) - P(z < 0.625) = 0.8944 - 0.7324 = 16.2%

There is 16.2% probability that a randomly selected individual will be between 185 and 190 pounds

3 0
2 years ago
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