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2 years ago

BRAINLIEST OFFERED! Solve and Show work!! : 2x²-1=x²+4x+11

1 answer:

3 0

First we want to put this into standard form.
Subtract (x^2+4x+11) from both sides
x^2-4x-12

Then factor the trinomial
(x-6)(x+2)

Use the zero product property to find roots
(x-6)=0
x=6

(x+2)=0
x=-2

Final answers: x=-2, x=6

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Figures that have the same size and same shape. Their corresponding angles and sides are the same size. whats the answer?

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2 years ago

An English professor assigns letter grades on a test according to the following scheme. A: Top 15% of scores B: Scores below the

lisabon 2012 [21]

Answer:

59 to 66

Step-by-step explanation:

Mean test scores = u = 74.2

Standard Deviation = $\sigma$ = 9.6

According to the given data, following is the range of grades:

Grade A: 85% to 100%

Grade B: 55% to 85%

Grade C: 19% to 55%

Grade D: 6% to 19%

Grade F: 0% to 6%

So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.

6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for 0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)

The formula for z score is:

$z=\frac{x-u}{\sigma}$

For z = -1.56, we get:

$-1.56=\frac{x-74.2}{9.6}\\\\ x = 59$

For z = -0.88, we get:

$-0.88=\frac{x-74.2}{9.6}\\\\ x = 66$

Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)

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2 years ago

a vido game system is being sold at a 4% discount. if the discount results in a saving of$11,96, what is the original price of t

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Answer:

$299

Step-by-step explanation:

Divide the discount amount through the discount percentage and multiply with a hundred percent, resulting in the full price.

($11,96)/4*100=$299

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2 years ago

Solve for x. (have to add extra letters so the question works)

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Answer:

x=11°

Step-by-step explanation:

-Sum of angles of a triangle should alway be 180 degrees

35+110+2+3x=180

-Add all known values

147+3x=180

-Subtract 147 from both sides

3x=33

-Isolate x by divind both sides by 3

x=11°

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2 years ago

What is addition property

n200080 [17]

Answer:

When we add two or more whole numbers, their sum is the same regardless of the order of the addends. The sum of both 2 + 4 and 4 + 2 is 6. That means, we can add whole numbers in any order. When three or more numbers are added, the sum is the same regardless of the grouping of the addends.

Step-by-step explanation:

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2 years ago

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