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tatyana61 [14]
3 years ago
9

If

a^{2}+bx^{2} =13 " align="absmiddle" class="latex-formula">, and ab=6, find the value of
a)(a+b)^{2}
b)(a-b)^{2}
Mathematics
1 answer:
Mkey [24]3 years ago
7 0

a^2-b^2=13;\ ab=6

a)\\(a+b)^2=a^2+2ab+b^2=(a^2+b^2)+2(ab)=13+2\cdot6=25\\\\b)\\(a-b)^2=a^2-2ab+b^2=(a^2+b^2)-2(ab)=13-2\cdot6=1

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Vinil7 [7]

Answer:

9/10

Step-by-step explanation:

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2 years ago
Prove that the product of the second and third numbers out of four consecutive whole numbers is two greater than the product of
podryga [215]

Let the four consecutive numbers be x,x+1,x+2,x+3.

Now the product of second and third number=(x+1)(x+2)=x²+3x+2=k

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A.T.Q

product of second and third number= product of first and fourth number+2

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3 years ago
tongue tied sauces inc finds that the revenue in dollars from the sale of x bottles of barbeque sauce is given by
charle [14.2K]

Answer:

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Step-by-step explanation:

Please find the complete question in the attachment file.

\to R(x) =7.5x^{0.7}

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\to A(x) = \frac{R(x)}{x} =7.5 x^{-0.3}

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when 81 bottles were produced , then the rate of change in average revenue

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4 0
2 years ago
Explain in words how to convert 2/5 to a decimal. What is 2/5 as a decimal.
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6 0
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Read 2 more answers
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STatiana [176]

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Step-by-step explanation:

Let p be the population proportion for the graduates from private nonprofit colleges in the region had at least one outstanding student loan at the time of graduation.

Given : Tristan is an administrator for a private nonprofit college and read a surprising statistic that 74% of graduates from private nonprofit colleges in the region had at least one outstanding student loan at the time of graduation.

i.e. p=0.74

He believes that percentage is high and claims that the proportion of graduates at his college is less than the regional rate.

i.e.  p

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Then, the null and alternative hypotheses for this hypothesis test :-

H_0: p=0.74\\\\ H_a:p

6 0
3 years ago
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