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2 years ago

Evaluate the expression 4x^2 + 3y for x = 5 and = 6.

Mathematics

1 answer:

arsen [322]2 years ago

6 0

Answer: 118

Step-by-step explanation:

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What is the sum of the interior

frutty [35]

N is the amount of sides
sum=13 times 180 =2340

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2 years ago

Calculate the volume of the cylinder:<br> 10 cm<br> 6 cm

barxatty [35]

Answer:

Step-by-step explanation:

10 ×6

that is the simple answer to your question

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2 years ago

6. Find the possible values of n in the inequality –3n < 81. A. n > –27 B. n < 27 C. n = –27 D. n = 27

evablogger [386]

-3n < 81...divide both sides by -3, change the inequality sign
n > -81/3
n > - 27 <==

** in an inequality, when dividing/multiplying by a negative number, the inequality sign changes

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3 years ago

Help me pleaseeeeeee

castortr0y [4]

Use the fomula a_(n)= a_(1)+ d(n-1)

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3 years ago

How do you rationalize the numerator in this problem?

maw [93]

To solve this problem, you have to know these two special factorizations:

$x^3-y^3=(x-y)(x^2+xy+y^2)\\ x^3+y^3=(x+y)(x^2-xy+y^2)$

Knowing these tells us that if we want to rationalize the numerator. we want to use the top equation to our advantage. Let:

$\sqrt[3]{x+h}=x\\ \sqrt[3]{x}=y$

That tells us that we have:

$\frac{x-y}{h}$

So, since we have one part of the special factorization, we need to multiply the top and the bottom by the other part, so:

$\frac{x-y}{h}*\frac{x^2+xy+y^2}{x^2+xy+y^2}=\frac{x^3-y^3}{h*(x^2+xy+y^2)}$

So, we have:

$\frac{x+h-h}{h(\sqrt[3]{(x+h)^2}+\sqrt[3]{(x+h)(x)}+\sqrt[3]{x^2})}=\\ \frac{x}{\sqrt[3]{(x+h)^2}+\sqrt[3]{(x+h)(x)}+\sqrt[3]{x^2}}$

That is our rational expression with a rationalized numerator.

Also, you could just mutiply by:

$\frac{1}{\sqrt[3]{x_h}-\sqrt[3]{x}} \text{ to get}\\ \frac{1}{h\sqrt[3]{x+h}-h\sqrt[3]{h}}$

Either way, our expression is rationalized.

7 0

3 years ago