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3 years ago

Identify the domain of the exponential function shown in the following graph:

1 answer:

6 0

The domain is the set of values of the x-axys.

As per your description of the function, it goes from negative infinity to positive infinity.

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How many diagonals can be drawn from one vertex of a hexagon

Dmitrij [34]

Three diagonals can be drawn in a hexagon mmyyy dude.

5 0

4 years ago

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F(-4)=8 and f(-1)=4 write the linear equation

kobusy [5.1K]

$f(-4)=8\to(-4,\ 8)\\\\f(-1)=4\to(-1,\ 4)$

The point-slope formula of a line:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

Substitute:

$m=\dfrac{4-8}{-1-(-4)}=\dfrac{-4}{3}=-\dfrac{4}{3}\\\\y-8=-\dfrac{4}{3}(x-(-4))\\\\y-8=-\dfrac{4}{3}x-\dfrac{16}{3}\ \ \ \ |+8\\\\y=-\dfrac{4}{3}x-\dfrac{16}{3}+\dfrac{24}{3}\\\\y=-\dfrac{4}{3}x+\dfrac{8}{3}\ \ \ |\cdot3\\\\3y=-4x+8\ \ \ |+4x\\\\4x+3y=8$

The slope-intercept form: $y=-\dfrac{4}{3}x+\dfrac{8}{3}$

The standard form: $4x+3y=8$

7 0

3 years ago

A group of college students is volunteering for Homes for the Community during their spring break. They are putting the finishin

Nonamiya [84]

Answer: 2.72 hours

Step-by-step explanation:

Let's call $t_1$ while it takes Wade to paint the room

Let's call $t_2$ while it takes Rhonda to paint the same room.

Then we know that:

$t_1 = 5\ hours\\t_2 = 6\ hours$ .

Let's call it t as it takes Rhonda and Wade to paint the same room working together.

Now we use the following formula to calculate t.

$\frac{1}{t}=\frac{1}{t_1}+\frac{1}{t_2}$

$\frac{1}{t}=\frac{1}{5}+\frac{1}{6}$

$\frac{1}{t}=\frac{11}{30}$

$t=\frac{30}{11}$

$t=2.72\ hours$

If they work together they will be able to paint the room in 2.72 hours

4 0

3 years ago

SAT prep: Prove that 3x – 4 ( 5 – x ) is equivalent to 7x – 20

Alik [6]

3x -4 (5 - x) = 7x -20
3x-20+4x=7x-20
7x-20=7x-20

4 0

4 years ago

PLEASE HELP! A student says that the measures of coterminal angles are never opposites of each other. Is the student correct? Ex

garri49 [273]

The student is not correct. For angles to be coterminal, the difference between their measures must be a multiple of 360°. The difference between 180° and –180° is 360°. Angles with measures 180° and –180° are coterminal.

7 0

3 years ago

Read 2 more answers