What 3 consecutive even numbers added together equal 42? Use the equation n+(n+2)+(n+4)=42 to help you solve.

Answers

Answer 1
Answer: To solve this problem, you need to solve the given equation.

n+(n+2)+(n+4)=42
n+n+2+n+4=42
3n + 6 = 42
3n = 36
n=12

This means that the first starting number is 12.  So the 3 consecutive even numbers would be 12, 14, and 16.

To check this, we can add these numbers together, and see if we get a sum of 42.

12+14+16=42, therefore your answer is correct.

Answer 2
Answer: so consecutive even numbers are 2 away from each other so therefor th enumbers are
x,x+2,x+2+2
so the add upt o 42
x+x+2+x+2+2=42
add like terms
3x+6=42
subtract 6 from both sides
3x=36
divide by 3
x=12
numbers are x,x+2,x+4
12+2=14
12+4=16
numbers are 12,14,16

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Create three functions one linear function one quadratic function, and one cubic function that all have a solution at (-5,32)

Answers

The equations are- 1) y=-6x+2,  2) y = x^2+7, 3) y = -1/5x^3+7

Step-Wise explanation-

Linear function

let y = -6x+2

if we put x=5 then- y = 32

quadratic function

let y = x^2+7

if we put x=5 then we get y = 32

Cubic function

let y = -1/5x^3+7

if we again put x=5 then we get y= 32

Hence the required functions are y = -6x+2, y = x^2+7, y = -1/5x^3+7

What are functions?

the function is the relationship between units of values. e g y=f(x), for each value of x there is its exists in a set of y. x is an impartial variable even as Y depends variable.

Learn more about functions here

brainly.com/question/6561461

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Answer:

Quadratic: y=x^2-27x-160

not too sure of the other ones sorry


Step-by-step explanation:


4-0.25g+0.5h=When g=10 andh=5

Answers

Answer:

4

Step-by-step explanation:

4-0.25*10+0.5*5=4-2.5+2.5=4

4-0.25g + 0.5h
g=10
h=5
4-.25(10)+.5(5)
4 -2.5 +2.5

The answer is 4

Is -2 + 4y +2=8x a direct variation equation

Answers

Direct variation

Explanation:

Given –2 + 4y + 2 = 8x.

To find the given expression –2 + 4y + 2 = 8x is direct variation or not.

If y varies directly as x, then y = kx.

If y varies inversely as x, then y=(k)/(x)

⇒ –2 + 4y + 2 = 8x

Combine like terms together.

⇒ –2 + 2 + 4y = 8x

⇒ 4y = 8x

Divide both sides of the equation by 4, we get

y = 2x

Which is in the format of y = kx.

Thus y varies directly as x.

Hence, –2 + 4y + 2 = 8x is direct variation.

If the point (2,4 is rotated 90 degrees clockwise what is the location of the new point

Answers

Answer:

Therefore the new coordinate of the point is (2,-4)

Step-by-step explanation:

A point (2,4) is rotated 90^\circ clockwise .

The point (2,4) lies on the first coordinate.If the point rotated 90^\circclockwise direction It will be go fourth coordinate.

Therefore the new coordinate of the point is (2,-4)

The area of a circle is 615.44 in2. What is the diameter of the circle? Use 3.14 for π.

Answers

The diameter of the circle is 28 inches.

Given:
Area of a circle = 615.44 in²

Area of a circle is computed by multiplying pi and the radius raised to the 2nd power.

A = π r²
615.44 in² = 3.14 * r²
615.44 in² / 3.14 = r²
196 = r²
√196 = √r²
14 in = r

Diameter is twice its radius. So, d = 2r; d = 2 * 14 ; d = 28 inches

Answer:

The diameter= 28in

Step-by-step explanation:

(02.01) Solve for x: 3 over 4 x + 5 over 8 = 4x x = __________________ Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar. Answer for Blank 1:

Answers

Answer:

x = (5)/(26)

Step-by-step explanation:

Given equation:

(3)/(4)x + (5)/(8) = 4x

(3(2)x + 5)/(8) = 4x            ∵taking GCF 8

(8 (6x + 5) )/(8)  = 4x × 8

6x + 5 = 32x    ⇒   5 = 32x - 6x   ⇒  5 = 26x   ⇒  x = (5)/(26)