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harina [27]
3 years ago
8

The table shows points that lie on a line.

Mathematics
1 answer:
svp [43]3 years ago
6 0

Answer:

y = 4*x+3

Step-by-step explanation:

First pick any 2 set of points to find the slope. I chose (1,7) and (3,15)

The slope formula is shown below

m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }

Now fill in the variables and solve

15 - 3 = 12

3 - 0 = 3

Divide

12/3 = 4

So the slope is 4

The y intercept is 3 since that is where x = 0

Now we can write the equation

y = 4*x+3

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Helen [10]

Answer:

The correct answers are

Night

5

Evening

40

5 0
3 years ago
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John is joining a gym. There is a membership fee of $25 per month and a fee of $2 per workout class he attends. Given this infor
skad [1K]

Answer:

Input variable x: Number of classes he attends.

Output variable y: Monthly cost

Slope: Cost per class, of $2

y-intercept: Membership fee, of $25.

Function: y = 2x + 25

Step-by-step explanation:

This situation can be represented by a function is the following format:

y = mx + b

In which y is the monthly cost(output), m is the cost per class(slope), x is the number of classes he attends(input) and b is the membership fee(y-intercept).

We have that:

There is a membership fee of $25 per month and a fee of $2 per workout class he attends.

This means that b = 25, m = 2. So

y = 2x + 25

6 0
3 years ago
WILL GIVE BRAINLIEST
dolphi86 [110]

Answer:

12

Step-by-step explanation:

1. Substitute each letter with the numbers given

3(14) + 3(10) / 6

42 + 30 = 72 / 6 = 12

7 0
3 years ago
A regular pentagon ABCDE is shown <br><br><br> Work out the size of X
nikdorinn [45]
The sum of the angles in a pentagon is 540°.

This means that each angle is 108°.

Inside you pentagon, a triangle is drawn. This triangle is isosceles, because the corners are on the points of the regular pentagon. You know that angle C is 108°.

Angles in a triangle add up to 180°.

B and D will be the same size as this is isosceles.

180°-108° = 72°

This is B and D. You only need one of these, so you divide by 2.

The answer is 36°.

Hope this helps :)
7 0
3 years ago
Read 2 more answers
Approximate f by a Taylor polynomial with degree n at the number a. Step 1 The Taylor polynomial with degree n = 3 is T3(x) = f(
MAVERICK [17]

Answer:

If you center the series at x=1

T_3(x) = e^2 + 4e^2 (x-1)+10(x-1)^2 + \frac{56}{3} e^2(x-1)^3 + R(x)

Where R(x) is the error.

Step-by-step explanation:

From the information given we know that

f(x) = e^{2x^2}

f'(x) = 4x e^{2x^2}   (This comes from the chain rule )

f^{(2)}(x) = 4e^{2x^2} (4x^2+1)   (This comes from the chain rule and the product rule)

f^{(3)}(x) = 16xe^{2x^2}(4x^2 + 3)  (This comes from the chain rule and the product rule)

If you center the series at x=1  then

T_3(x) = e^2 + 4e^2 (x-1)+10(x-1)^2 + \frac{56}{3} e^2(x-1)^3 + R(x)

Where R(x) is the error.

3 0
3 years ago
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