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Slav-nsk [51]
3 years ago
14

Simplify the expression to a polynomial in standard form. (x-2)(x2 +7x +4)

Mathematics
1 answer:
goldenfox [79]3 years ago
5 0

Answer:

Step-by-step explanation:

(x  - 2)(x² + 7x + 4) = x(x² + 7x + 4) - 2*(x² + 7x + 4)

                              = x*x² + x*7x + 4*x  - 2*x² -2* 7x -2* 4

                               = x³ + 7x² + 4x - 2x²  -14x -8

                                = x³ + <u>7x² - 2x²</u>    <u>+  4x - 14x</u> - 8

                                = x³ + 5x² - 10x - 8

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Paul has a stock portfolio worth $21,000. His home is valued at $365,000. His car is valued at $19,000. He owes $362,000 on his
kompoz [17]

Answer:

Paul has negative worth of $2,900

His statement is invalid as he did not consider all assets and debts in aggregate.

Step-by-step explanation:

The net worth of Paul is the total asset owned by him less the total of debts owed by him.

Paul's total assets can computed thus:

Stock portfolio                 $21,000

Home worth                     $365,000

Car worth                          $19,000

Total assets                       $405,000

Paul's total debts can be computed as follows:

Mortgage loan                     $362,000

Car loan                                $16,250

credit card debt                     $11,750

Student loan                          $17,900

Total debts                             $407,900

The amount of debts owed by Paul is $2,900($405,000-$407,900) more than his asset worth,which implies that Paul is indebted to the tune of $2,900,hence has negative worth.

6 0
3 years ago
The area of the scale model of a playground is 6 square yards. The scale model is enlarged by a scale factor of 3 to create the
REY [17]

Answer:

B: 54 square feet

Step-by-step explanation:

There are 3 feet in 1 yard. The scale model is 6 square yards.

Multiply 6 by 3 to get the amount of square yards.

There are 18 square yards in the actual playground.

Since there are 3 feet in a yard, multiply 18 by 3.

This gives you your answer:

54 square feet

6 0
3 years ago
Read 2 more answers
Jane bough 1.5 pounds of chicken, then went back to the store and bought 1 13/16 More pounds, how many total pounds did she buy
Studentka2010 [4]

Answer:

Step-by-step explanation:

1.5 + 1 13/16

O.5 = 1/2

(1+1)+(1/2 + 13/16)

2 + (8/16 + 13/16) = 2 21/16

4 0
2 years ago
Write the equation of a line with a slope of −2 and a y-intercept of 5. (2 points) Question 1 options: 1) −2x + y = 5 2) 2x − y
aleksandr82 [10.1K]

Answer:

3 is the answer

Step-by-step explanation:

8 0
3 years ago
Divide: −72 ÷ 9 = A) −8 B) −7 C) −6 D) 7
Lisa [10]

Answer:

-8

Step-by-step explanation:

-72 / 9 = -8

7 0
3 years ago
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