MATHEMATICS MIDDLE SCHOOL

Which expression is equal to (x+5)(-3x^2+15x-1)? a. -3x^3+74x-5
b. -3x^3+30x^2-76x-5
c. -3x^3-76x-5
d. -3x^3+30x^2+74x-5

Answers

Answer 1
Answer:

The given expression can be simplified to obtain -3x³ + 74x - 5. The correct option is (a).

What is an Algebraic expression?

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given algebraic expression is (x + 5)(-3x² + 15x - 1).

It can be evaluated as follows,

(x + 5)(-3x² + 15x - 1)

⇒ x(-3x² + 15x - 1) + 5(-3x² + 15x - 1)

⇒ -3x³ + 15x² - x - 15x² + 75x - 5

⇒ -3x³ + 74x - 5

Hence, the product of the given expression is -3x³ + 74x - 5.

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Answer 2
Answer:

Answer:

-3x^3+74x-5

Step-by-step explanation:

(x+5)(-3x^2+15x-1)

-3x^3+15x^2-x-15x^2+75x-5

-3x^3+15x^2-15x^2+75x-x-5

-3x^3+74x-5

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8/10 - 3/5 =

A. 1/5

B. 5/5

C. 2/10

D. 4/5

Answers

\n(8)/(10) - (3)/(5) = (8)/(10) - (6)/(10) = (2)/(10) = (1)/(5) \n
A
you can simplify 8/10 to 4/5 by dividing by two on the top and bottom so the answer is A 1/5 because 4/5 - 3/5= 1/5 I hope that helps :)

Hunter thought he purchased an umbrella for $60. The actual price of an Umbrella is $50. What is hunters percent error

Answers

Error = 60-50/50 × 100
= 10/50 × 100
= 20 %

Final answer:

The percent error in Hunter's estimate for the price of the umbrella is 20%. We calculated this by finding the difference between the estimated and actual price, dividing it by the actual price, and converting the result to a percentage.

Explanation:

To calculate Hunter's percent error in the price of the umbrella, we first have to determine the difference between his estimate and the actual price. This difference is $60 (estimated price) - $50 (actual price) = $10. Next, we divide the difference by the actual price, which is $10 / $50 = 0.2. To convert from a proportion to a percentage, we multiply by 100, resulting in a percent error of 0.2 * 100 = 20%. Therefore, Hunter's percent error in the price is 20%.

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Use the explicit formula an=a1+(n-1)d to find the 500th term of the sequence below.24,31,38,45,52,..

Answers

a_(500)=a_1+499r\n \n a_(500)=24+499*7\n \n a_(500)=24+3493\n \n a_(500)=3517

Caleb draws 14 dogs on each of 4 posters. He draws 18 cats on 6 other posters. If he draws 5 more dogs on each poster with dogs, how many dogs & cats does he draw

Answers

Caleb draws 24 cats. Caleb Draws 19 dogs. 
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Point P (-5,2) is translated using the rule (x+3,y-1) what is the x coordinate of P​

Answers

Answer:

(-2, 1)

Step-by-step explanation:

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What is another. Name for 23 ten thousand

Answers

23 x 10,000 = 230,000

Another name for 23 ten thousand is: Two hundred thirty thousand

And another name also is: 230 Thousands
Standard form= 230,000
Word form= two hundred and thirty thousand
Expanded form= 200,000+30,000

I hope this helps!
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