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3 years ago

Write an equation in slope-intercept form for the line with slope 1/5 and y-intercept 5.

Mathematics

1 answer:

AVprozaik [17]3 years ago

8 0

Answer:

y=1/5x+5

Step-by-step explanation:

Slope-intercept form is written y=mx+b.

y- needs to be by itself in this form.

m- the slope.

x- always to the right side of the slope, or m.

b- y-intercept.

Now that we know this, all we have to do is plug in the numbers we have. So when we plug this in, the equation looks like this:

y=1/5x+5

Hope this helps you and have a great day :3

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Enter the domain and range of the function g(x) = 9x2 − 5 as an inequality, using set notation and using interval notation. Comp

tia_tia [17]

The domain and the range of a function are the set of input and output values, the function can take.

The domain and the range of $g(x) = 9x^2 - 2$ is $(-\infty, \infty)$ .
The parent function $f(x) =x^2$ is vertically compressed by 9, then shifted down by 5 units to get $g(x) = 9x^2 - 2$

Given

$g(x) = 9x^2 - 2$

Domain and range

There is no restriction as to the input and the output of function g(x).

This means that the domain and the range are $(-\infty, \infty)$

$(-\infty, \infty)$ is in interval notation

The corresponding set notation is: $- \infty < x < \infty$

The parent function

We have:

$f(x) = x^2$

First, the parent function is vertically compressed by a factor of 9.

The rule of this transformation is:

$(x,y) \to (x,9y)$

So, we have:

$f'(x) = 9x^2$

Next, the function is shifted down by 5 units.

So, we have:

$g(x) = f'(x) - 5$

$g(x) = 9x^2 - 5$

Read more about functions at:

brainly.com/question/21027387

4 0

2 years ago

-4 -2 0 2 4 form the set of even integers true or false

GenaCL600 [577]

Answer:

True

Step-by-step explanation:

An integer is anything that's not a fraction/decimal, and being even is common knowledge

3 0

3 years ago

Read 2 more answers

Please answer this correctly without making mistakes

IrinaVladis [17]

Answer:

44 5/6 "the second one"

5 0

4 years ago

What is 4(-8x+5)=-32x26

Ksivusya [100]

Answer:

x = -25.375

Step-by-step explanation:

4(-8x+5) = -32 x 26

-32x + 20 = 832

-32 = 812

x = -25.375

6 0

3 years ago

Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours she works in a day. For every extra hour she

tester [92]

Answer:

The expression giving her net earnings for a day with more than 8 hours worked is X = 80 + 15H, where H means "extra hours worked".

Step-by-step explanation:

Given that Daisy works at an ice-cream parlor earning $10 per hour for the first 8 hours she works in a day, and 1.5 times her hourly wage for every extra hour she works, in order to know how much can she make in a day working more than 8 hours the following equation has to be made:

X = (8 x 10) + (H x (1.5 x 10))

X = 80 + 15H

Therefore, if Daisy works 13 hours, the equation works as follows:

X = 80 + 15x13

X = 80 + 195

X = 275

3 0

3 years ago