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3 years ago

Evaluate f(x) = 1/4x for x = -5. A. 20 B. -1/20 C. -1 1/4 D. -4/5

Mathematics

2 answers:

sladkih [1.3K]3 years ago

7 0

Answer:

C. -1 1/4

Step-by-step explanation:

First, we substitute -5 for x.

$f(-5)=\frac{1}{4} *-5$

Then, we evaluate.

$f(-5)=\frac{1}{4} *-5=\frac{-5}{4} =-1\frac{1}{4}$

lalo3 years ago

0 0

the answer will be -1 1/4

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a shaded sector of a circle has an area of 4pi and an angle of 40 degrees. What is the perimeter of the sector?

bezimeni [28]

Answer:

4/9*pi or 1.395

Step-by-step explanation:

We have that area of the circle, that 4 * pi, we can calculate the radius of the circle, knowing that:

A = pi * r ^ 2

replacing:

4 * pi = pi * r ^ 2

r ^ 2 = 4 * pi / pi

r ^ 2 = 4

r = 2

Therefore, knowing the radius, we can calculate the perimeter:

P = 2 * pi * r

replacing:

P = 4 * pi

That is the perimeter of the whole circle, that is to say 360 °, therefore for 40 ° it would be:

4 * pi * 40 ° / 360 ° = 4/9 * pi

That is to say that the perimeter of the sector of 40 ° is 4/9 * pi, if pi is 3.14 it would be:

4/9 * 3.14 = 1.395

7 0

3 years ago

Use the definition of the derivative as a limit to find the <br> derivative f′ where f(x)= √ x+2.

MA_775_DIABLO [31]

Step-by-step explanation:

If the equation is

$\sqrt{x + 2}$

Then, here is the answer.

The definition of a derivative is

$\frac{f(x + h) - f(x)}{h}$

Also note that we want h to be a small, negligible value so we let h be a value that is infinitesimal small.

So we get

$\frac{ \sqrt{x + h + 2} - \sqrt{x + 2} }{h}$

Multiply both equations by the conjugate.

$\frac{ \sqrt{x + h + 2} - \sqrt{x + 2} }{h} \times \frac{ \sqrt{x + h + 2} + \sqrt{x + 2} }{ \sqrt{x + h + 2} + \sqrt{x + 2} } = \frac{x + h + 2 - (x + 2)}{h \sqrt{x + h + 2} + \sqrt{x + 2} }$

$\frac{h}{h \sqrt{x + h + 2} + \sqrt{x + 2} }$

$\frac{1}{ \sqrt{x + h + 2} + \sqrt{x + 2} }$

Since h is very small, get rid of h.

$\frac{1}{ \sqrt{x + 2} + \sqrt{x + 2} }$

$\frac{1}{2 \sqrt{x + 2} }$

So the derivative of

$\frac{d}{dx} ( \sqrt{x + 2} ) = \frac{1}{2 \sqrt{x + 2} }$

Part 2: If your function is

$\sqrt{x} + 2$

Then we get

$\frac{ \sqrt{x + h} + 2 - ( \sqrt{x} + 2) }{h}$

$\frac{ \sqrt{x + h} - \sqrt{x} }{h}$

$\frac{x + h - x}{h( \sqrt{x + h} + \sqrt{x}) }$

$\frac{h}{h( \sqrt{x + h} + \sqrt{x} ) }$

$\frac{1}{ \sqrt{x + h} + \sqrt{x} }$

$\frac{1}{2 \sqrt{x} }$

$\frac{d}{dx} ( \sqrt{x} + 2) = \frac{1}{2 \sqrt{x} }$

3 0

3 years ago

Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. At one dealer she would pay $2,350 down a

vovangra [49]

Answer:

After 16 months, Kenya will have paid $5,550

Step-by-step explanation:

This is a guess and check type of a problem. You guess a number of months, plug it into x, and see if both equations come out with the same answer.

If you plug 16 into the first dealer's equation, you get y= 200(16) + 2350. Solving this equation will mean y equals 5550.

If you plug 16 into the second dealer's equation, you get y= 175(16) + 2750.

Solving this equation will mean y also equals 5550.

8 0

3 years ago

Margo sold 3 times as many pears as apples in a week. She sold 3,456 apples and pears. How many pears did she sell? Use a letter

klasskru [66]

She sold 2592 pears. If 2592/3=864 then when the total of pears and apples are added it should equal 3,456

2592+864=3456

7 0

3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu.

timama [110]

This is not the line of best fit because the line is not through the middle of the data points.

What is line of best fit?

The line of best fit is a line through a scatter plot of data points that best expresses the relationship between those points.

In this case, this is not the line of best fit because the line is not through the middle of the data points.

Learn more about best fit on:

brainly.com/question/23100748

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3 0

2 years ago