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3 years ago

7

Please answer asap for brainlist

1 answer:

castortr0y [4]3 years ago

8 0

Table m I believe because each x has one y

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A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 55 seconds, th

True [87]

Answer:

$y=3x+4$

Step-by-step explanation:

Let y be the amount of water in the bottle x seconds after the faucet was turned on.

We have been given that the gauge on the bottle indicates that it contains 19 ounces of water after it has been filling for 5 seconds. After it has been filling for 11 seconds, the gauge indicates the bottle contains 37 ounces of water.

We have two points on the line $(5,19)$ and $(11,37)$ .

Let us find slope of the line passing through these points.

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{37-19}{11-5}$

$m=\frac{18}{6}$

$m=3$

We will write our required equation in slope-intercept form $y=mx+b$ , where, m represents slope and b represents the y-intercept.

Let us find y-intercept by substituting $m=3$ and coordinates of point $(5,19)$ in slope intercept form.

$19=3\cdot 5+b$

$19=15+b$

$19-15=15-15+b$

$4=b$

Therefore, our required equation would be $y=3x+4$ .

8 0

3 years ago

Use the function below to find F(2).<br> F(t) = 2•1/2^3t

navik [9.2K]

Answer:

$F(2)= \frac{1}{32}$

Step-by-step explanation:

The given function is

$F(t) = 2 \cdot \: \frac{1}{{2}^{3t} }$

To find F(2), we substitute t=2 into the function.

This means that wherever we see t, we put 2

$F(2) = 2 \cdot \: \frac{1}{{2}^{3 \times 2} }$

We multiply the exponent in the denominator to get:

$F(2) = 2 \cdot \: \frac{1}{{2}^{6} }$

We evaluate to get:

$F(2) = 2 \cdot \: \frac{1}{64}$

We now cancel the common factors to get:

$F(2) = \frac{1}{32}$

6 0

3 years ago

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.

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

<em />

Given

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

<u>Domain and range</u>

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: $- \infty < x < \infty$

<u />

<u>The parent function</u>

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

Is 6/12 equivalent to 1/2?

PIT_PIT [208]

Answer:

yes because 1/2= .5

and 6/12= .5 so they are equivalent

8 0

2 years ago

Read 2 more answers

10x - 12y = 22<br> 5x - 6y = 11 elimanation

lawyer [7]

Answer:

This is an identity or infinite solutions

Step-by-step explanation:

10x - 12y = 22

5x - 6y = 11

-2(5x - 6y = 11 )

-10x + 12y = -22

10x - 12y = 22

0=0

Identity solution

5 0

3 years ago

Read 2 more answers