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2 years ago

Given that p(n)=4n2+4n−6 and q(n)=n2−5n+8, find (p−q)(3).

Mathematics

1 answer:

seropon [69]2 years ago

4 0

Answer:

(p-q) (3) = 40 The anwser is c

Step-by-step explanation:

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What location on the line would you find the constant of proportionality?

juin [17]

Answer:

2.4

Step-by-step explanation:

The constant of proportionality is y=kx which should 2.4

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2 years ago

A bag of nuts weighs 3 ounces and costs 50 cents. What is the unit price? Round to the nearest cent.

galina1969 [7]

Answer:

50 cents/3 ounces = 16.67 cents/ounce

Step-by-step explanation:

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2 years ago

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valkas [14]

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1 year ago

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Determine if triangle ABC with coordinates A (0, 2), B (2, 5), and C (−1, 7) is an isosceles triangle. Use evidence to support y

kirill115 [55]

Answer:

The triangle ABC is an isosceles right triangle

Step-by-step explanation:

we have

The coordinates of triangle ABC are

A (0, 2), B (2, 5), and C (−1, 7)

we know that

An isosceles triangle has two equal sides and two equal internal angles

The formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

substitute in the formula

$d=\sqrt{(5-2)^{2}+(2-0)^{2}}$

$d=\sqrt{(3)^{2}+(2)^{2}}$

$dAB=\sqrt{13}\ units$

step 2

Find the distance BC

substitute in the formula

$d=\sqrt{(7-5)^{2}+(-1-2)^{2}}$

$d=\sqrt{(2)^{2}+(-3)^{2}}$

$dBC=\sqrt{13}\ units$

step 3

Find the distance AC

substitute in the formula

$d=\sqrt{(7-2)^{2}+(-1-0)^{2}}$

$d=\sqrt{(5)^{2}+(-1)^{2}}$

$dAC=\sqrt{26}\ units$

step 4

Compare the length sides

$dAB=\sqrt{13}\ units$

$dBC=\sqrt{13}\ units$

$dAC=\sqrt{26}\ units$

$dAB=dBC$

therefore

Is an isosceles triangle

Applying the Pythagoras Theorem

$(AC)^{2} =(AB)^{2}+(BC)^{2}$

substitute

$(\sqrt{26})^{2} =(\sqrt{13})^{2}+(\sqrt{13})^{2}$

$26=13+13$

$26=26$ -----> is true

therefore

Is an isosceles right triangle

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3 years ago

What is 4^12 x 125^7? Express your answer in scientific notation

lianna [129]

Answer:

8×10^21

Step-by-step explanation:

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3 years ago