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2 years ago

15

Consider the function represented by this graph.

1 answer:

seropon [69]2 years ago

7 0

Remember that

For a pair (x,y)

x is domain and y is range

So here

The end points

(0,9)
(8,1)

Hence domain

0≤x≤8

Option C

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Asap answer pls-----------

marissa [1.9K]

Answer:

$y=\frac{4}{5}x-\frac{18}{5}$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0).

<u>1) Determine the slope (m)</u>

$m=\frac{y_2-y_1}{x_2-x_1}$ where two points on the line are $(x_1,y_1)$ and $(x_2,y_2)$

In the graph, the points (-3,-6) and (2,-2) are plotted clearly, so we can use these to help us find the slope. Plug them into the equation:

$m=\frac{-6-(-2)}{-3-2}\\m=\frac{-6+2}{-3-2}\\m=\frac{-4}{-5}\\m=\frac{4}{5}$

Therefore, the slope of the line is $\frac{4}{5}$ . Plug this into $y=mx+b$ :

$y=\frac{4}{5}x+b$

<u>2) Determine the y-intercept (b)</u>

$y=\frac{4}{5}x+b$

Typically, given a graph, we could look at where exactly the line crosses the y-axis to determine b. However, because it appears ambiguous on this graph, we must solve it algebraically.

Plug in one of the given points (2,-2) and solve for b:

$-2=\frac{4}{5}(2)+b\\-2=\frac{8}{5}+b$

Subtract $\frac{8}{5}$ from both sides to isolate b

$-2-\frac{8}{5}=\frac{8}{5}+b-\frac{8}{5}\\-\frac{18}{5} =b$

Therefore, the y-intercept of the line is $-\frac{18}{5}$ . Plug this back into $y=\frac{4}{5}x+b$ :

$y=\frac{4}{5}x+(-\frac{18}{5})\\y=\frac{4}{5}x-\frac{18}{5}$

I hope this helps!

8 0

3 years ago

A fair number cube is rolled, and a fair coin is tossed. Compare the probabilities. Choose from the symbols given.

Maksim231197 [3]

Answer:

C

There are an even amount of sides on each object.

Step-by-step explanation:

<em>It izz wat it izzzz!!!</em>

4 0

3 years ago

An old bone contains 80% of its original carbon-14. Use the half-life model to find the age of the bone. Find an equation equiva

Ira Lisetskai [31]

Answer:

An old bone contains 80% of its original carbon-14 in 1844.6479 years

Step-by-step explanation:

We know that

half life time of C-14 is 5730 years

so, h=5730

now, we can use formula

$P(t)=P_0(\frac{1}{2})^{\frac{t}{h} }$

we can plug back h

and we get

$P(t)=P_0(\frac{1}{2})^{\frac{t}{5730} }$

An old bone contains 80% of its original carbon-14

so,

P(t)=0.80Po

we can plug it and then we solve for t

$0.80P_0=P_0(\frac{1}{2})^{\frac{t}{5730} }$

$0.80=(\frac{1}{2})^{\frac{t}{5730} }$

$\ln \left(0.8\right)=\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{5730}}\right)$

$t=-\frac{5730\ln \left(0.8\right)}{\ln \left(2\right)}$

$t=1844.6479$

So,

An old bone contains 80% of its original carbon-14 in 1844.6479 years

4 0

3 years ago

Read 2 more answers

PLEASE HELP!!! WILL MARK BRAINIEST

Mila [183]

angle CBD and angle BFE are congruent because they are corresponding angles.

angle ABF and angle BFE are congruent because they are alternate interior

angles.angle CBD and angle ABF are congruent because they are vertical angles.

:)))

3 0

4 years ago

7. Which expression is a factor of x² + 2x – 15?

Lubov Fominskaja [6]

Answer:

(x-3) is the correct expression

Step-by-step explanation:

To factor you split the expression apart -

x² + 2x – 15

This breaks up to (x+5)(x-3)

If you multiply (FOIL) these you get your expression x² + 2x – 15

Your answer choices do not include (x+5) so it must be (x-3)

<em>I hope this helps!</em>

<em></em>

7 0

3 years ago