I need help with my algebra II!!

Answers

Answer 1

Answer: 1st:
f(x) = x^2.
f(x +1): Anywhere we see x we replace it with (x+1)

f(x+1) = (x+1)^2 , Expand
(x+1)^2 = (x+1)(x+1) = x^2 + 2x + 1= C.

2nd:
Noting general equation, y = mx + c
m = slope, c = vertical intercept.
From the graph, slope = (2,0) and (0, -4)
= (-4 -0) / (0 - 2) = -4/-2 = 2.
Vertical intercept, c = -4.
y = mx + c , y = 2x + (-4), y = 2x - 4 = D.

3rd:
f(x) = x^2 - x, f(-4). we would substitute x = -4.

f(-4) = (-4)^2 - (-4) = 16 + 4 = 20 = D.
Cheers.

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You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mix you can make?Trail Mix Recipe:
2 3/4 cups granola
1 1/3 cups peanuts

Please help and show how to solve..

Answers

The correct answer is:

4 full batches.

Explanation:

To solve this, we need to see how many "servings" (the amount needed for the recipe) of granola and peanuts we have.

We have 12 cups of granola. We need 2 3/4 cups. We need to see how many 2 3/4 cup-sized "servings" there are in 12 cups. We do this by dividing:

12 ÷ 2 3/4

Write both of these as improper fractions:

12/1 ÷ 11/4

To divide fractions, flip the second one and multiply:

12/1 × 4/11 = 48/11 = 4 4/11

This means we have 4 full servings of granola.

We have 8 1/2 cups of peanuts. We need 1 1/3 cups. We need to see how many 1 1/3 cups-sized "servings" there are in 8 1/2 cups. We do this by dividing:

8 1/2 ÷ 1 1/3

We need to write both of these as improper fractions:

17/2 ÷ 4/3

To divide fractions, flip the second one and multiply:

17/2 × 3/4 = 51/8 = 6 3/8

We have 6 full servings of peanuts.

The greatest number of full batches we can make will be the smaller of the two full servings we have. We have 4 full servings of granola and 6 full servings of peanuts; we cannot make 6 full batches of trail mix, since we don't have enough granola. This means we can only make 4 full batches.

So for the granola, you divide 12 by 2.75 (2 3/4), and you get 4.36, but you can only make full batches, so its just 4. Then, for the Peanut, you divide 8.5 (8 1/2) by 1.3333 (1 1/3) and you get 6.4, so you round that to 6. But, you need the full recipe, so it can't be 6, because you only have enough granola for four batches. so the answer is four. Am I making any sense?

Mr. Gibson mapped out two gardens he wants to build in his backyard. Mr. Gibson's gardens are shown below.Which equation could be used to find A, the total area of Mr. Gibson's gardens

Answers

Answer:36ft

Step-by-step explanation:3 times 3 times 4 is 36

The answer is 36feet

What is 62.5% in two equivalent forms ?

Answers

Answer: Two equivalent forms are :

$(5)/(8)\ and\ (125)/(200)$

Step-by-step explanation:

Since we have given that

62.5%

We have to write in equivalent forms:

1) First equivalent form is given by

$62.5\%\n\n=(62.5)/(100)\n\n=(625)/(1000)\n\n=(25)/(40)\n\n=(5)/(8)$

2) Second equivalent form is given by

$62.5\%\n\n=(62.5)/(100)\n\n=\frac{625}[1000}\n\n=(625/ 5)/(1000/ 5)\n\n=(125)/(200)$

62.5%

Percents are parts of 100, so write 62.5 as a fraction over 100:

62.5/100

Divide the numerator and denominator by 12.5:

62.5 / 12.5 = 5
100 / 12.5 = 8

5/8

This is one form.

62.5 / 100 = 0.625

This is another form.

I am a number under 10. My factors add up to 13. What number am I?

Answers

list the factors of numbers under 10. It would make sense to start at a number
relatively high

9
1, 3, 9

The number is 9

At the county fair the Baxter family bought 6 hot dogs and 4 sodas for $15.10. The Farley family bought 3 hot dogs and 4 sodas for $10.15. If someone ordered tow hotdogs, how much would they pay in total

Answers

$9.90 is how much you would pay for 2 hotdogs

Please help fast! Sherman deposited $3000 in an account paying 8% interest compounded annually. He withdrew his money and interest 3 years later. How much did he withdraw?

Answers

The formula A = P (1 + r) ^ t will help, given that
A = the future value at withdraw
P = the initial deposit
r = the annual interest rate (decimal)
t = the number of years the money is invested for
so the equation is A = 3000 (1.08) ^ 3, which is $3779.14

He withdrew $3720. Use the formula I ( interest)= prt (principle, rate, time), and then add the interest earned to what he originally deposited.