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2 years ago

If f(x) = 3x+2, find f(f¹(14))

Mathematics

1 answer:

Grace [21]2 years ago

4 0

Answer:

f(f¹(14)) = 134

Step-by-step explanation:

Given :

f(x) = 3x + 2

Find the value of f(14) :

f(14) = 3(14) + 2
f(14) = 42 + 2
f(14) = 44

Therefore, f(f¹(14)) = f(44).

Solving :

f(44) = 3(44) + 2
f(44) = 132 + 2
f(f¹(14)) = 134

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A toy is shaped as a triangular prism. The toy has a

Anettt [7]

Answer:

$\huge\boxed{\sf h = 6.75 \ in.}$

Step-by-step explanation:

Given Data:

Base area = $A_{B}$ = 108 in.²

Volume = V = 729 in.³

Required:

Height = h = ?

Formula:

$V=A_{B}h$

Solution:

For h, rearranging formula:

$\displaystyle h = \frac{V}{A_{B}} \\\\h =\frac{729 \ in.^3}{108 \ in.^2} \\\\h = 6.75 \ in.\\\\\rule[225]{225}{2}$

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2 years ago

Given a dilation around the origin, what is the scale factor K? D o, K = (2,4) → (3,6)

fenix001 [56]

Answer: 3/2

Step-by-step explanation:

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3 years ago

Suppose that p is the probability that a randomly selected person is left handed. The value (1-p) is the probability that the pe

solmaris [256]

Answer:

a) 1/2

b) 250

Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for $p$ such that $1000p(1-p)$ is maximized. Once we have that $p$ , we can easily find the answer to part b.

Finding the value that maximizes $1000p(1-p)$ is the same as finding the value that maximizes $p(1-p)$ , just on a smaller scale. So, we really want to maximize $p(1-p)$ . To do this, we will do a trick called completing the square.

$p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4$ .

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of $p$ such that the inner part of the square term is equal to $0$ .

$p-1/2=0\\p=1/2$ .

So, the answer to part a is $\boxed{1/2}$ .

We can then plug $1/2$ into the equation for p to find the answer to part b.

$1000(1/2)(1-1/2)=1000(1/2)(1/2)=1000*1/4=250$ .

So, the answer to part b is $\boxed{250}$ .

And we're done!

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2 years ago

Factor the expression completely -15t-6

serg [7]

Answer:

$\large\boxed{-15t-6=-3(5t+2)}$

Step-by-step explanation:

$-15t-6=(-3)(5t)+(-3)(2)=-3(5t+2)$

6 0

3 years ago

Almonds cost $3.49 per pound a bag of almonds cost $6.95 to the nearest whole pound about how many pounds of almonds are in the

Kryger [21]

Answer:

The hint in this problem is the word "about" or approximately how many pounds. So we could find the solution by estimation through rounding off. We know that almonds cost about 3.50 per pound and a bag costs about $7.00. Dividing 7 by 3.50 per pound, will give us $7 ÷ $3.50 = 2 pounds.

The answer is 2 pounds.

5 0

3 years ago