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3 years ago

Determine where each relation is a function if it is a function then indicate if it is a linear function

Mathematics

1 answer:

GalinKa [24]3 years ago

3 0

The relation is a function.
For each x value, there is only one corresponding y value.

This is not linear. For each increment of x, the y value does not increment consistently. At first it incremented by 1, but the last change was from 6-8, which means an increment of 2.

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Calculate a and b if

const2013 [10]

Notice that

$7^{2014} - 7^{2012} = 7^{2012} \bigg(7^2 - 1\bigg) = 7^{2012} \times 48 = 2^4 \times 3 \times 7^{2012}$

$12=2^2\times3$ , so

$\dfrac{7^{2014}-7^{2012}}{12} = 2^2 \times 7^{2012}$

Then taking the positive square root gives

$\sqrt{\dfrac{7^{2014}-7^{2012}}{12}} = \sqrt{2^2 \times 7^{2012}} = 2\times7^{1006}$

so $\boxed{a=2}$ and $\boxed{b=1006}$ .

4 0

2 years ago

write and equation of the line that passes through the given point and is parallel to the given line.1. (4,7), y = 5x-3

Gennadij [26K]

Answer:

y=5x+7

Step-by-step explanation:

parallel lines have the same slope, but different y intercepts

y=5x+7

5 0

3 years ago

5. Tom had 321 dollars to spend on 9 books. After buying them he had 15 dollars. How much

Andrew [12]

Answer:

It should be $34

Step-by-step explanation:

321 - 15 = 306 ÷ 9 = 34

8 0

2 years ago

Please help with math

densk [106]

Answer:

The triangular prism is a better deal because you get 204 in³ for the same price you would pay for 128 in³ with a trapezoidal prism.

Step-by-step explanation:

The trapezoidal prism has volume 32*4=128 cubic inches. The triangular prism has volume 34*6=204 inches. Since the triangular prism is more voluminous, it is the better deal. Hope this helps!

3 0

3 years ago

Read 2 more answers

The color distribution of Skittles is the following: 10% blue, orange, and green each, 23.3333% yellow, red, and purple each. In

irina1246 [14]

Answer:

Step-by-step explanation:

Given that:

Percentage of blue, orange and green = 10%

Percentage of yellow, red and purple = 23.3333%

Number of skittles in bag by color :

Red = 137

Orange = 39

Yellow = 130

Green = 39

Blue = 43

Purple = 112

According to the color distribution :

Number of blue, orange and green should be the same and also number of yellow, red and purple skittles must be the same.

Total number of skittles :

(137 + 39 + 130 + 39 + 43 + 112) = 500

10% of the total = 0.1 * 500 = 50

Hence,

We should have 50 blue, orange and green skittles

23.33333% of total = 116.666 (about 117 skittles of yellow, red and purple color)

3 0

2 years ago