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ale4655 [162]
3 years ago
8

Alexandra and Austin applied to the same university. They looked up the average SAT score of students admitted to that universit

y. Alexandra's SAT score was 40 points above the average score. Austin's SAT score was 330 points below the average score. Which expression represents the difference in their scores?
Mathematics
1 answer:
Deffense [45]3 years ago
7 0

Answer:

x= (y+40)-(y-330)

Step-by-step explanation:

According to the information provided, the difference in their scores would be the result of subtracting Austin's SAT score from Alexandra's SAT score.

Then, as Alexandra's SAT score was 40 points above the average score this means that you have to add 40 to the average score to get her result. Also, as Austin's SAT score was 330 points below the average score, this means that you have to subtract 330 from the average score. With this you can write the expression:

x= difference in their scores

y= average score

x= (y+40)-(y-330)

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Write a third degree polynomial function that has real zeros -1, -2 and 4
ra1l [238]

Answer:

f(x) = x^{3}  - x^{2}  -  10x  -8

Step-by-step explanation:

All you have to do is multiply (x + 1)(x + 2)(x - 4)

You should get x^{3}  - x^{2}  -  10x  -8

So,  f(x) = x^{3}  - x^{2}  -  10x  -8

8 0
3 years ago
Suppose that the function g is defined, for all real numbers, as follows.
svetoff [14.1K]

Answer:

<em>a) g(-2) = 0</em>

<em>b) g(-1) =1</em>

<em>c) g(4) = 2</em>

Step-by-step explanation:

Given data

g(x) = \frac{-1}{4x+1} if x < -2

g(x) = - (x+1)^{2} +1  if -2\leq x\leq 2

g(x) = 2 if x >2

<u><em>Step( i )</em></u>:-

g(x) = - (x+1)^{2} +1  if -2\leq x\leq 2

put x = -2

g(-2) = -(-2+1)^{2} +1 = -(-1)^{2}+1 = -1+1 =0

<em>g(-2) = 0</em>

<u><em>Step(ii)</em></u>:-

g(x) = - (x+1)^{2} +1  if -2\leq x\leq 2

Put x = -1

g(-1) = -(-1+1)^{2} +1 = -(0)^{2}+1 = -0+1 =1

<em>g(-1) =1</em>

<u><em>Step(iii)</em></u>:-

g(x) = 2 if x >2

<em>g(4) = 2</em>

<em></em>

7 0
3 years ago
Use the drop-down menu to complete each statement. The amount of money you earn by working is your . The percentage of people ac
Galina-37 [17]

The correct answers are:

- Wage/salary;

- Active job seekers;

The amount of money you earn by working is your wage or salary. The difference being that the wage represents the money you get paid on hourly, weekly, or monthly basis, while the salary is what you earn in year. The wages/salaries vary a lot, some being very high, some being modest, some very high, depending on the type of job, type of economy, as well as the qualifications of the worker.

The percentage of people that are actively looking for job is called active job seekers. The active job seekers can be people that are unemployed, but also people that re employed but want to work something or somewhere else. While some people struggle to find jobs and would accept almost anything, other people want to constantly progress, thus they are not satisfying with a job where they do not progress, so they seek for new challenges and opportunities.

7 0
2 years ago
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Given a circle with a circumference of 30pi inches, solve for the exact area of a sector in terms of pi, whose central angle is
irinina [24]
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4 0
3 years ago
64 + {40 ÷(4 - 7 + 8)} - 10 solve this clearly​
slega [8]

Answer:

62

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

Step-by-step explanation:

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

64 + [40 ÷ (4 - 7 + 8)] - 10

<u>Step 2: Evaluate</u>

  1. Brackets - Parenthesis - Subtract:          64 + [40 ÷ (-3 + 8)] - 10
  2. Brackets - Parenthesis - Add:                 64 + [40 ÷ 5] - 10
  3. Brackets - Divide:                                    64 + 8 - 10
  4. Add:                                                          72 - 10
  5. Subtract:                                                   62

And we have our final answer!

5 0
3 years ago
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