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Snowcat [4.5K]
3 years ago
8

How can you write (x-3)(x+4)-18 as a product of two binomials? Please show work please help

Mathematics
1 answer:
ANEK [815]3 years ago
5 0

Answer:

OPTION C: (x - 5)(x + 6)

Step-by-step explanation:

Given: (x - 3)(x + 4) - 18

Product of (x - 3) and  (x + 4) = x² + 4x - 3x - 12

Therefore, (x - 3)(x + 4) - 18 = x² + x - 30

This is a quadratic equation and the roots are x = 5, -6.

This can be written as binomials as:

  (x - 5)(x + 6) which is the required answer.

So, OPTION C is the answer.

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Rita bought a pair of jeans for $89. The sales-tax rate is 11 percent. What is the total amount she paid for the jeans?
andre [41]

Total amount paid by Rita is $98.79

Step-by-step explanation:

  • Step 1: Given sales tax = 11% and cost of jeans = $89
  • Step 2: Calculate amount of sales tax = 11% of 89 = 11/100 × 89 = $9.79
  • Step 3: Calculate the total amount

Total Amount = 89 + 9.79 = $98.79

5 0
3 years ago
A shirt and a tie together cost $57. The shirt costs $33 more than the tie. What is the cost of the shirt?
ArbitrLikvidat [17]

Answer:

Shirt: $45 , Tie: $12

Step-by-step explanation:

Let s be the price of the shirt

Let t be the price of the tie

Given the information from the question,

s + t = 57 - Equation 1

s - t = 33 - Equation 2

We will use substitution method to find the prices.

We will rearranging equation 1.

s = 57 - t

We will substitute s into equation 2.

57 - t - t = 33

57 - 2t = 33

-2t = 33 - 57

-2t = -24

t = -24 / -2

= 12

We now substitute t into Equation 1.

s + 12 = 57

s = 57 - 12

= 45

From here we know, the shirt costs $45 and the tie costs $12

3 0
2 years ago
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2x(x)=5<br> I need help
zhuklara [117]

Step-by-step explanation:

X interprets (0,0), (-5, 0) all you must do is divide 5 by 2 so 5÷2=2.5 that is your answer

6 0
3 years ago
What is the area in square inches 3/8 inch 2/3 inche
Vlada [557]

Answer:

0.25 in²

Step-by-step explanation:

Repeat you last class this is so basic...

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If 20 workers can dig a farm in 240 hours how many workers can dig the same farm in 60 hours​
IRISSAK [1]

Answer:

5 workers

Step-by-step explanation:

Find how many hours 1 worker can dig 240 / 20 = 12

60 hours / 12 hours = 5 workers.

It takes 5 workers to dig for 60 hours when 20 workers dig for 240 hours.

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3 years ago
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