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3 years ago

This table gives a few (x,y) pairs of a line in the coordinate plane.

Mathematics

1 answer:

svetlana [45]3 years ago

3 0

Answer:

Step-by-step explanation:

slope m = Δy / Δx = (-64 - (-32)) / (-21 - (-9)) = -32/-12 = 8/3

y = (8/3)x + b

-48 = (8/3)(-15) + b

-48 = -40 + b

b = - 8

y = (8/3)x - 8

x intercept occurs where y = 0

0 = (8/3)x - 8

8 = (8/3)x

x = 3

(3, 0)

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If you vertical stretch the quadratic parent function F(x)=x^2By multiplying by seven is what is the equation of the new functio

myrzilka [38]

Answer:

g(x) = 7x^2

Step-by-step explanation:

Given a function f(x), the function kf(x) is stretched by a factor of k. In this case, if we stretch the function f(x) = x^2 by a factor of seven, the new function is going to be the base function multiplied by 7, as follows:

g(x) = 7x^2

3 0

3 years ago

A student cost for last semester at her community college was $3000. She spent $540 of that on books. What percent of last semes

eduard

Hi there!
We can set up a ratio to model the problem...
540/3000 = x/100
Now, just cross multiply and solve for x.
54000 = 3000x
x = 18
Therefore, 18 percent of last semester's college costs was spent on books. Hope this helped and have a great day!

3 0

3 years ago

Weights of female cats of a certain breed are normally distributed with mean 4.1 kg and standard deviation 0.6 kg.

Diano4ka-milaya [45]

The proportion is 0.4401.

We find z-scores that correspond with both ends of this interval. Z-scores are given using the formula:

$z=\frac{X-\mu}{\sigma}$

For the lower end,

$z=\fracc{3.7-4.1}{0.6}=\frac{-0.4}{0.6}=-0.67$

The proportion of scores to the left of this number is 0.2514.

For the higher end, the z-score is

$z=\frac{4.4-4.1}{0.6}=\frac{0.3}{0.6}=0.5$

The proportion of scores to the left of this number is 0.6915.

To find just the proportion of scores between these two, we subtract;

0.6915-0.2514 = 0.4401.

3 0

3 years ago

3. The teacher asked the class, "How many tenths are equivalent to 37.6?" Student 1 answered, "37 tenths." Student 2 answered, "

Ksivusya [100]

Using proportions, it is found that Student 2 is correct, as 37.6/0.1 = 376.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

One tenth is worth 0.1. How many tenths are there in 37.6? The division is given as follows:

37.6/0.1 = 376.

Hence student 2 is correct, as there are 376 tenths in 37.6.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

6 0

2 years ago

Consider the quadratic function f(y) = 8y2 – 7y + 6. What is the constant of the function?

Over [174]

The constant is 6. A constant is just the number on its own. Quadratics follow the form f(x) = ax^2+bx+c. The c is the constant.

7 0

3 years ago