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2 years ago

Find all x-values for which f ( x ) = 2 for the function below.

Mathematics

1 answer:

Angelina_Jolie [31]2 years ago

8 0

Answer:

Step-by-step explanation:

First let us get the equation of the coordinates

y-y0 = m(x-x0)

Using the coordinates ( - 3, 2 ), ( - 1, 0 )

m = 0-2/-1-(-3)

m = -2/2

m = -1

Substitute m = -1 and (-1, 0) into the formula

y - 0 = -1(x+1)

y = -x-1

f(x) = -x-1

Since f(x) = 2

2 = -x-1

-x = 2+1

-x = 3

x = -3

Hence the value of x is -3

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Food A contains 150 calories in 3/4 of a serving. Food B contains 250 calories in 2/3 of a serving. Find each unit rate. Which f

Leviafan [203]

The unit rate is going to be calories per serving....calories / serving

Food A :
150 / (3/4) =
150 * 4/3 =
600/3 =
200 calories per serving

Food B :
250 / (2/3) =
250 * 3/2 =
750/2 =
375 calories per serving

Therefore, Food A has fewer calories per serving <==

5 0

3 years ago

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Find the volume of a cone with a diameter of 12 m and a height of 6 m.

castortr0y [4]

Answer: D. 72 m

Step-by-step explanation:

The formula for the volume of a cone is Volume = pi times radius squared and then times the height, and then divided by 3.

Since the diameter is 12, the radius is 6. Applying the formula, 6 squared is 36, times pi is 36 pi. The height is 6 so 36 * 6 = 216.

But be careful, we're not done yet... We still have to divide by 3

216 / 3 = 72

we can be sure this answer is correct because the other answers are clearly too big

here's your answer, hope this helps :)

3 0

2 years ago

Please help me out please please !!!!!

Sauron [17]

The surface area of a sphere is given by

$S = 4\pi r^2$

We deduce

$r = \sqrt{\dfrac{S}{4\pi}}$

So, in your case, the radius is

$r = \sqrt{\dfrac{100\pi}{4\pi}}=\sqrt{25}=5$

The volume of a sphere is given by

$V=\dfrac{4}{3}\pi r^3$

So, we have

$V = \dfrac{4}{3} \pi 5^3 = \dfrac{500}{3}\pi$

5 0

2 years ago

The variable z is directly proportional to x. When x is 6, z has the value 60. What is the value of z when x = 11?

user100 [1]

Answer:

110

Step-by-step explanation:

z is apparently 10 times x.

10 times 11 is 110.

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3 years ago

What are the like terms of 10a+4b+3a-15b

TiliK225 [7]

The like terms in 10a+4b+3a-15b consist of a and b. First, we have to combine like terms.
(10a+3a) + (4b-15b)
solve a and b
13a - 11b. Thus, the like terms in your original expression are 13a and -11b :)

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3 years ago

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