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3 years ago

Which represents the solution(s) of the graphed system of equations, y = x2 + x – 2 and y = 2x – 2

Mathematics

1 answer:

Debora [2.8K]3 years ago

6 0

Answer:

x=1 and x=0

Step-by-step explanation:

We need to find the points at which the graphs y = x^2 + x – 2 and y = 2x – 2 intercept.

We know that:

x^2 + x – 2 = 2x – 2

x^2 - x = 0

Factorizing:

x(x-1) = 0

Therefore, the solution to the system of equation is x=1 and x=0.

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20) In a recent poll of 1200 randomly selected adult office workers, 32% said they had worn a Halloween costume to the office at

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Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

n = 1200

x = 32% of 1200

So, $\hat{p}=32\5=0.32$

We need to find 95% confidence interval.

so, z = 1.96

So, margin of error would be

$z\times \sqrt{\dfrac{p(1-p)}{n}}\\\\=1.96\times \sqrt{\dfrac{0.32\times 0.68}{1200}}\\\\=1.96\times 0.0135=$

So, Interval would be

$\hat{p}\pm \text{margin of error}}\\\\=0.32\pm 0.0263\\\\=(0.32-0.0263,0.32+0.0263)\\\\=(0.2937,0.3463)\\\\=(0.294,0.346)\\\\=(29.4\%,34.6\%)$

Hence, Option 'c' is correct.

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3 years ago

1. What are two other ways you could rewrite 50%?

NNADVOKAT [17]

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2 years ago

Drag and drop an answer to each box to correctly explain the derivation of the formula for the volume of a pyramid.

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3 years ago

Read 2 more answers

What is the distance between the point (-7,3) and (4, -5) on a coordinate plane?

Evgesh-ka [11]

To find this, use the distance formula. D= square root over... (x2-x1)^2+ (y2-y1)^2. Now plug in your coordinates.
D= square root... (4- -7)^2+ (-5-3)^2. Simplify. 4- -7=11 (two neg= positive) -5 -3= -8. So,
D= square root... 11^2+ -8^2. Simplify. 11^2= 121. And -8^2=64. Now just take the square root after adding. 121+64= 185. And the square root of 185 isn’t a whole number, so your final answer is D= (square root over) 185. Hope this helps

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3 years ago