All categories

3 years ago

Which graph shows a line with the same y intercept as the graph of 10x - 16y = 40

Mathematics

1 answer:

Amanda [17]3 years ago

4 0

Answer:

The graph option where the y-axis is intercepted at y = -2.5 by the line of the graph.

Step-by-step explanation:

The answer choices for the possible graphs that have the same y-intercept as the graph of 10x - 16y = 40 is missing here.

However, the answer can still be explained here.

We can figure out how the graph would look like.

First, understand that the y-intercept of a graph is the value of y, of the point where the line intercepts the y-axis.

Let's figure out what the y-intercept is given a graph represented by the equation, 10x - 16y = 40.

Rewrite the equation in slope-intercept form.

10x - 16y = 40

-16y = -10x + 40

y = -10x/-16 + 40/-16

y = ⅝x - ⁵/2

Therefore, the y-intercept of the graph of 10x - 16y = 40 is -⁵/2 or -2.5.

✅The graph shows a line with the same y-intercept as the graph of 10x - 16y = 40, would have it's y-axis intercepted at y = -2.5.

You might be interested in

Give the equivalent numerator if the denominator is x³y².

gayaneshka [121]

x³y²
For this case, the first thing you should know is the properties of the exponents.
Let's write the full fraction:
(1) / (x ^ 3 * y ^ 2)
We have that by power properties:
(1) / (x ^ 3 * y ^ 2) = x ^ -3 * y ^ -2
Therefore the equivalent numerator is:
x ^ -3 * y ^ -2
Answer:
x ^ -3 * y ^ -2

7 0

3 years ago

Given that ƒ(x) = 3x, identify the function g(x) shown in the figure.

pogonyaev

We will see that g(x) is a reflection across the y-axis of f(x), then:

$g(x) = f(-x) = 3^{-x\\$

<h3>How to identify the function g(x)?</h3>

By looking at the graph, we can see that g(x) is a reflection across the y-axis of f(x).

So we can write:

g(x) = f(-x)

Here we know that:

$f(x) = 3^x$

Then, replacing f(x) on the formula for g(x), we get:

$g(x) = f(-x) = 3^{-x\\$

That is the function g(x) shown in the figure.

If you want to learn more about transformations:

brainly.com/question/4289712

#SPJ1

3 0

2 years ago

What is the area of the rug in square

brilliants [131]

Answer:

a square would be 2 times of the sides. And what rug?

Step-by-step explanation:

7 0

3 years ago

For any number n>1, is |(0.8 + 0.8i)| a. Greater than 1? b. Less than 1? c. Equal to 1?

Genrish500 [490]

Answer: the answers is a

Step-by-step explanation:

5 0

3 years ago

Each side of a square is increasing at a rate of 5 cm/s. At what rate is the area of the square increasing when the area of the

icang [17]

Answer:

Step-by-step explanation:

Area of a square with side of length L is expressed as A = L². The rate at which the area is increasing will be expressed as dA/dt.

dA/dt = dA/dL * dL/dt where

dL/dt is the rate at which each side of the square is increasing.

Since dA/dL = 2L, dA/dt = 2L dL/dt

Given dL/dt = 5cm/s and the Area of the square = 49 cm²

49 = L²

L = √49

L = 7cm

dA/dt = 2(7) * 5

dA/dt = 14*5

dA/dt = 70cm/s

The rate at which the area of the square is increasing is 70cm/s

3 0

3 years ago