We are looking for the decrease in money per desk purchased. Because the x-axis is the number of desks purchased, what we have to find is the (opposite) of the slope. The formula to represent slope can be written as:

$\frac{y_{2} -y_{1} }{x_{2}- x_{1} }$

We can substitute the points given, (2, 480) and (5, 150) and simplify:

$\frac{150-480}{5-2} =\frac{-330}{3} = -110$

We would multiply by -1 because we are asking for the decrease, and negative increase is decrease. -1 * -110, gives us $110

4 0

3 years ago

If f (x) = x + 7 and g (x) = StartFraction 1 Over x minus 13 EndFraction, what is the domain of (f circle g) (x)?

Rashid [163]

Answer:

R-{13}

Step-by-step explanation:

We are given that

$f(x)=x+7$

$g(x)=\frac{1}{x-13}$

We have to find the domain of fog(x).

$fog(x)=f(g(x))$

$fog(x)=f(\frac{1}{x-13})$

$fog(x)=\frac{1}{x-13}+7=\frac{1+7x-91}{x-13}=\frac{7x-90}{x-13}$

Domain of f(x)=R

Because it is linear function.

Domain of g(x)=R-{13}

Because the g(x) is not defined at x=13

fog(x) is not defined at x=13

Therefore, domain of fog(x)=R-{13}

6 0

3 years ago

Read 2 more answers

the length of an arc of a circle is 269⁢πcentimeters and the measure of the corresponding central angle is 65∘. what is the leng

scZoUnD [109]

The length of the circle's radius = 744.92 cm

Given the length of arc of a circle, arc length = 269⁢π cm

Central angle of a circle is the angle made between the radius through the arc length at the center of the circle.

The corresponding central angle = 65°

To find the corresponding central angle in radians = 65° x π/180 = 13π/36 radians

We have, arc length of a circle = radius x central angle

Therefore, radius of the circle = arc length / central angle

= 269⁢π /(13π/36)

= 744.92 cm

Learn more about arc length of a circle at brainly.com/question/28108430

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6 0

2 years ago

Let ​f(x)=4x−1 and ​g(x)=x2+ 2. Find ​(f◦​g)(5​).

Let f(x)=4x−1 and g(x)=x2+ 2. Find (f◦g)(5).