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2 years ago

Evaluate the function f(x)= x^2 + 6x for the given value of x. Simplify your answer.

Mathematics

1 answer:

Anit [1.1K]2 years ago

8 0

Step-by-step explanation:

$f\left(x^2+6x+h\right)$

$=fx^2+f\cdot \:6x+fh$

$=fx^2+6fx+fh$

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Lily bought 25.29 pounds of grapefruit. The lightest grapefruit weighed 1.4 pounds. The heaviest grapefruit weighed 1.6 pounds.

Gemiola [76]

Answer:

Step-by-step explanation:

GIven that the lightest is 1.4 and the heaviest is 1.6, this implies that ALL the fruit must weigh between 1.4 and 1.6.

This also implies that the average weight of the fruit must also be between 1.4 lb and 1.6 lb.

recall that : average weight = total weight / number of fruit

we are given than total weight = 25.29 lb, so

average weight = 25.29 / number of fruit

Just go down the choices and test which choice gives an average weight between 1.4 and 1.6 lbs.

Choice A: number of fruit = 19

average = 25.29 / 19 = 1.33 (outside of range, not the answer)

Choice B: number of fruit = 17

average = 25.29 / 17 =1.49 (within range , possible answer)

Choice C: number of fruit = 10

average = 25.29 / 10 = 2.529 (outside of range, not the answer)

Choice D: number of fruit = 50

average = 25.29 / 50 = 0.5058 (outside of range, not the answer)

From the above, we can see that only B gives an average between 1.4 and 1.6 lb.

5 0

3 years ago

Write the fraction in simplest form of 6/20.

nikklg [1K]

$\dfrac{6}{20}=\dfrac{6:2}{20:2}=\dfrac{3}{10}$

8 0

2 years ago

A cylindrical piece of iron pipe is shown below. The wall of the pipe is 0.75 inch thick, and the pipe is open at both ends:

Gnesinka [82]

Answer:

(A)398 cubic inches

Step-by-step explanation:

Given a cylindrical piece of iron pipe with the following dimensions:

Height = 12 inches
Diameter = 8 inches

Therefore: External radius =4 Inches

Since the wall of the pipe is 0.75 inch thick,

Internal Radius =4-0.75 =3.25 Inches

Volume of a Cylinder = $\pi r^2 h$

Inside Volume of the Pipe

$= \pi*3.25^2*12\\=398$ cubic inches$

The correct option is A.

6 0

2 years ago

What value of x is in the solution set of –5x – 15 > 10 + 20x?

Shalnov [3]

HI Brainiac

-5x-15 > 10+20x

-5x-20x > 10+15

-25x > 25

Divide both sides by -25

-25x/-25 > 25/-25

x < -1

Answer : B

I hope that's help:)

Have a great night :)

7 0

2 years ago

Read 2 more answers

For f(x), evaluate the following: a. f(0), b. f(6) and show all of your work. // I've attached the function below.

12345 [234]

Answer:

a. f(0) = 4

b. f(6) = 8

Step-by-step explanation:

This is a piecewise function, so the actual equation is on the left, and the inequalities are on the right.

If x = 0, this would fall under the first part of the function because x < 5 is the requirement for the first part. Then, evaluating it: f(0) = 0 + 4 = 4.

If x = 6, this would fall under the second part of the function because 5 $\leq$ x < 7 is the requirement. 6 falls under this category, so that means the second part of the function is used. Because it is a constant, 8, this evaluates to f(6) = 8.

3 0

2 years ago