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denis-greek [22]
3 years ago
6

Given the functions below if h(x)=-1, find x h(x)=-7x+20 Find x

Mathematics
1 answer:
Sliva [168]3 years ago
6 0

Answer:

h(-1) = 27

Step-by-step explanation:

h(-1) = -7(-1) + 20

= 7 + 20

h(-1) = 27

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Solve the problem <br> ( Show your work )<br><br> 2x + 10 =- 4x – 9
Vsevolod [243]

Answer:

x = -19/6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

2x + 10 = -4x - 9

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 4x on both sides:                    6x + 10 = -9
  2. Subtract 10 on both sides:             6x = -19
  3. Divide 6 on both sides:                  x = -19/6

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    2(-19/6) + 10 = -4(-19/6) - 9
  2. Multiply:                               -19/3 + 10 = 38/3 - 9
  3. Add/Subtract:                      11/3 = 11/3

Here we see that 11/3 does indeed equal 11/3.

∴ x = -19/6 is the solution to the equation.

4 0
3 years ago
Oliver, Lily, and Ella are hoping to save money. Oliver thinks saving money in a shoe box in his closet every month is a good id
DochEvi [55]

Answer:

Step-by-step explanation:

Part 1:

1. What is being asked in the problem and what does that mean?

Oliver is meaning to save more money than Lilliana

2.What do you know and what does it mean? What plan are you going to try?

It means that Oliver is trying to be reponsible and save money for a nice house. Use an equalizer and solve it.

3. Write out your thinking and work.

Since Olivier saves 150 per month, we multiply that with the number of years and then subtract the $75 he already saved up (since we only need to calculate the amount that he saved over the months.

2 yr of months: 150x30 -75 = 4480

10 yr of months: 150x180 - 75 = 21,993

4. Write out your response to the question, explaining your answer and what it means.

2 months of years: $4480

10 months of years: $21993

Part 2:

1. What is being asked in the problem and what does that mean?

Liliana needs to save money and we are asked to help her.

2.What do you know and what does it mean? What plan are you going to try?

It means that we have to use an equalizer to give to her so she can save the money over the years.

3. Write out your thinking and work.

Use formulaic methods. Since she has interest on her money, we have to include it:

i = log(x-4*7)^k

i is the interested amount, x is the variable we use, and k is the number of times. 7 is the interest

i = log(4000-4*7)^2 for 4000 at 7% interest over 2 years

i = log(4000-4*7)^10 for 4000 at 7% interest over 10 years

4. Write out your response to the question, explaining your answer and what it means.

Amount after 2 years: $30,000

Amount after 10 years: $15,671

Part 3:

1. What is being asked in the problem and what does that mean?

How we can help Ella save for her college.

2.What do you know and what does it mean? What plan are you going to try?

We can try using formulaic methods like we did for Dan in the previous assignment.

3. Write out your thinking and work.

l = (a/b)^q where l is the amount saved, a is the initial amount of dollars, b, is the time, and q is the interest

2 years: (4500/2)^4.5 = 2,500

10 years: (4500/10)^4.5 = 40,650

4. Write out your response to the question, explaining your answer and what it means.

After 2 years: $2500

After 10 years: $40,650

Ella would be able to afford college (if she does community college, but not a private university).

5 0
3 years ago
Read 2 more answers
Which terms describe this shape? Choose all that apply.
Simora [160]
The answer is a square.
All four sides are congruent.
7 0
2 years ago
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Emma has money into savings accounts. One rate is 8% and the other is 12%. If she has $450 more in the 12% account and the total
dexar [7]

A account 8% B account 12%

A+$450 = B (1)

Ax8% +Bx12%= $220

Ax0.08 + Bx0.12 = 220

Now we replace (1) on B:

Ax0.08 + (A+450)x0.12 = 220

Ax0.08 + Ax0.12 + 54 = 220

Ax0.2 = 166

A= 830.

Now we replace the value of A on equation (1):

830 + 450 = B

B = 1280

6 0
1 year ago
Amy buys eight apples that each weigh 150 grams. She notices that they are on sale for $3.00 per kilogram, how much will the app
Usimov [2.4K]

Answer:

$3.60

Step-by-step explanation:

8*150 = 1200

1200/1000 = 1.2

1.2*3 dollars

3 0
3 years ago
Read 2 more answers
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