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3 years ago

Let f(x) = x − 2 and g(x) = x2 − 7x − 9. Find f(g(−1))

1 answer:

5 0

It’s telling you to plug in -1 into the g(x) equation and then ones you get the answer, you plug it into the f(x) equation

(-1)2-7(-1)-9=-4

(-4)-2=-6

it’s -6

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Two numbers that differ by 46

Reil [10]

the complete question is

Find two numbers whose difference is 46 and whose product is a minimum

Let

x------->larger number

y-------> smaller number

P-------> product of the two numbers

we know that

$x-y=46\\ y=x-46$ -----> equation 1

$P=x*y$ -----> equation 2

substitute equation 1 in equation 2

$P=x*[x-46]\\ P=x^{2} -46x$

using a graph tool

see the attached figure

Find the value of x for that the product P is a minimum

the vertex is the point $(23,-529)$

that means, for $x=23$

the product is a minimum $P=-529$

find the value of y

$y=x-46\\ y=23-46\\ y=-23$

therefore

the answer is

the numbers are $23$ and $-23$

7 0

3 years ago

Read 2 more answers

The sum of the ages of two siblings is 29. The brother is eleven more than half the age of his sister. How old is each sibling

mina [271]

Answer: the brother is 20 and the sister is 9

Step-by-step explanation:

29 - 11 = 18 18 divided by 2 is 9

9+11 is 20 the brothers age so the sister is 9

3 0

3 years ago

Read 2 more answers

A person can pay $14 for a membership to the history museum and then go to the museum for just $5 per visit. What is the maximum

umka2103 [35]

Hi there!
First we subtract 44-14 leaving us with 30. 5x6 = 30
Therefore, a member can visit a history museum 6 times to equal a total cost of $44.
In a different situation:
If the person has already paid the $14, and that doesn’t count as a visit, then a person would have to visit a museum 8 times to get a total of $45. Considering this is a real-world problem.
I hope this helps and have a good day :) !
~Angel

8 0

4 years ago

Mrs. Humble is filling bags with peanuts to give as gifts. Each bag will contain 1 and 3 over 4 pounds of peanuts. The peanuts c

DerKrebs [107]

Answer:

$8.75

Step-by-step explanation:

STEP TO TAKE TO DETERMINE THE ANSWER

Multiply 13/4 pounds by the cost of one pound of peanut. To do this, convert 13/4 to an improper fraction and then multiply it by $5

$1\frac{3}{4}$ = $\frac{7}{4}$