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3 years ago

The first number of three consecutive even integers equals the sum of the second and third. Find the three numbers.

Mathematics

2 answers:

Arlecino [84]3 years ago

8 0

The first integer (x) is equal to the consecutive even integers, x+2, x+4.

x = (x+2) + (x+4)

x = 2x + 6

x - 6 = 2x

x = -6 (First integer)

-4 (Second integer)

-2 (Third integer)

Integers: -6, -4, -2

Equation: x = (x+2) + (x+4)

qwelly [4]3 years ago

5 0

Answer:

2x+2=x+4

Step-by-step explanation:

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Inverse of y=14x2 show derivations

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<h2>Answer:</h2>

$f^{-1} (x)=\sqrt{\frac{x}{14}}$ .

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

$y=14x^2$

<h3>2. Substitute y for x, and x for y.</h3>

$x=14y^{2}$

<h3>3. Solve for y.</h3>

$14y^{2}=x\\ \\y^{2} =\frac{x}{14} \\ \\y=\sqrt{\frac{x}{14}}$

<h3>4. Express your result.</h3>

$f^{-1} (x)=\sqrt{\frac{x}{14}}$ .

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The angle of elevation to the sun is 24°. What is the length of the shadow cast by a person 1.82 m tall? A. 0.81 m B. 1.99 m C.

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Answer:

C. 4.09 m

Step-by-step explanation:

Let the length of the shadow cast by a person be x m.

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