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pychu [463]
4 years ago
7

What is the factorization of the trinomial below? -x2+ x + 42

Mathematics
1 answer:
Greeley [361]4 years ago
8 0

Answer:

-(x + 6)(x - 7)

Step-by-step explanation:

The expression that we have can also be expressed in the following way:

- (x ^ 2 - x - 42)

Now to factorize we must find two numbers that multiplied by -42 and the sum of these numbers by -1.

these numbers are: -7 and 6

-7 * 6 = -42

-7 + 6 = -1

Thus:

- (x + 6) (x - 7)

You might be interested in
A garden is rectangular with an area of 6/7 square miles. If the length of the garden is 3/5 miles, what is its width?
Dafna11 [192]

Answer:

Step-by-step explanation:

Area= length x width

area=6/7, length=3/5, width=?

6/7=3/5 x width

6/7 divided by 3/5= 6/7 x 5/3 (you have to multiply by the recipricol, or flip the fraction.)

6/7 x 5/3=30/21= 1 3/7=width

7 0
4 years ago
After 1 year, $800 deposited in a savings account with simple interest had earned $64 in
stepan [7]

Answer:

8%

Step-by-step explanation:

We will use the equation provided to solve this problem.

I=Prt

Lets plug in the values:

64=800x(1)     First, divide both sides by 800.

.08=x(1)         Multiply x by 1

x = .08

Now, we multiply .08 by 100 to get our interest rate:

(.08)100 = 8

The interest rate is 8%

7 0
4 years ago
A cleaning company charges x dollars per hour to clean floors and y dollars per hour to clean the rest of the house
Nina [5.8K]

Answer:

(15,18)

Step-by-step explanation:

write two equations with the information provided.

2x + 3y = 84

x + 4y = 87

use the property of substitution to answer.

x + 4y = 87,   x = 87 - 4y

2(87 - 4y) + 3y = 84

174 - 8y + 3y = 84

174 - 84 = 8y - 3y

90 = 5y

90/5 = y

y = 18

Add the value of Y to an original equation. Solve for X

2x + 3(18) = 84

2x + 54 = 84

2x = 84 - 54

2x = 30

x = 30/2

x = 15

8 0
3 years ago
The original price of a video game is $32.99 before tax. When Mario bought the video game it rang up as $26.39 before tax. He th
mihalych1998 [28]

Answer:

Part A: The percent discount on game is 20%.

Part B: Mario paid a total of $28.50 including sales tax.

Step-by-step explanation:

Given that:

Part A:

Original price of video game = $32.99

Discounted price = $26.39

Amount of discount = 32.99 - 26.39 = $6.60

Discount percent = \frac{Amount\ of\ discount}{Original\ price}*100

Discount percent = \frac{6.60}{32.99}*100 = 0.20*100

Discount percent = 20%

Part B:

Sales tax = 8% of discounted price

Amount of sales tax = \frac{8}{100}*26.39 = 0.08*26.39

Amount of sales tax = $2.11

Total amount = $26.39 + $ 2.11 = $28.50

Hence,

Part A: The percent discount on game is 20%.

Part B: Mario paid a total of $28.50 including sales tax.

5 0
3 years ago
Can u guys help me please
shusha [124]
Its y=3/4x+3

you can solve it

-3x+4y=12

add 3x both sides

4y=3x+12

divide 4 by both sides

y=3/4x+4
8 0
3 years ago
Read 2 more answers
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