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Alexeev081 [22]
2 years ago
9

Solve the quadratic equation 4x2 − 121 = 0. Verify your answer using a difference-of-squares factoring method.

Mathematics
1 answer:
Alenkasestr [34]2 years ago
5 0

Answer:

Option d) is correct

That is x equals plus or minus start fraction 11 over two end fraction

Step-by-step explanation:

Given quadratic equation is 4x^2-121=0

To write the given quadratic equation by using a difference-of-squares factoring method:

4x^2-121=0

The above equation can be written as

4x^2-11^2=0

(2x)^2-11^2=0

The above equation is in the form of difference-of-squares

Therefore the given quadratic equation can be written in the form of difference-of-squares

by factoring method is (2x)^2-11^2=0

(2x+11)(2x-11)=0 (which is in the form a^2-b^2=(a+b)(a-b) )

2x+11=0   or   2x-11=0

x=\frac{-11}{2}    or   2x=11

x=\frac{-11}{2}    or   x=\frac{11}{2}

x=\pm \frac{11}{2}

Therefore option d) is correct

That is x equals plus or minus start fraction 11 over two end fraction

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A store mixes Kentucky bluegrass worth $12 per pound and chewings fescue worth $15 per pound. The mixture is to sell for $13 per
quester [9]
The solution for the problem is as follows:

((12x + 15y)/228) = 13 
x + y =228 

x = kentucky bluegrass 
<span>y = chewings fescue 
</span>
By systems of linear equations, the answers would be:

x = 152
y = 76

Therefore, there should be 152 pounds of Kentucky bluegrass to be used and 76 pounds of chewings fescue.

I hope my answer has come to your help. Thank you for posting your question here in Brainly.


5 0
3 years ago
Question 3
Veseljchak [2.6K]

Answer:

A

Step-by-step explanation:

Big Brain

7 0
2 years ago
Find the missing angle
inna [77]

THEOREM:

  • Angle sum property —: The sum of interior angles of a triangle is 180°.

ANSWER:

Let the missing angle be x.

By angle sum property,

  • ∠x + 20° + 80° = 180°
  • ∠x + 100 = 180°
  • ∠x = 180° – 100°
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So, <u>Correct choice</u> - [C] 80°.

7 0
2 years ago
Read 2 more answers
Hey can you please help me posted picture of question :)
andriy [413]
The answer is the answer is C and F.

This is found by inserting the equation above into the quadratic formula or -b plus or minus the square root of b^2 - 4ac over 2a.

With that, you find that the first number is a -3, which eliminates choices B and D.

Then, solving the 4ac portion, you find that inside the square root the number is 29, which gives you the last two answer choices.

Hope this helps!
5 0
3 years ago
The average person in the United States drinks 767 cups of coffee annually. How many quarts of coffee is that? Show your work. (
My name is Ann [436]

Answer: 191.75 quarts.

Step-by-step explanation:

We know that:

1 quart = 4 cups.

Then:

1 cup = 1/4 quarts.

this means that 1 cup, is equal to 1/4 quarts.

Then 767 cups is equal to 767 times 1/4 quarts.

The change of units is simply:

767 cups = 767*( 1/4 quarts) = 191.75 quarts.

7 0
3 years ago
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