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3 years ago

25- (3x + 5) = 2(x+8) + x how do you do it step by step?

Mathematics

1 answer:

NemiM [27]3 years ago

7 0

Answer:

Simplifying

25 + -1(3x + 5) = 2(x + 8) + x

Reorder the terms:

25 + -1(5 + 3x) = 2(x + 8) + x

25 + (5 * -1 + 3x * -1) = 2(x + 8) + x

25 + (-5 + -3x) = 2(x + 8) + x

Combine like terms: 25 + -5 = 20

20 + -3x = 2(x + 8) + x

Reorder the terms:

20 + -3x = 2(8 + x) + x

20 + -3x = (8 * 2 + x * 2) + x

20 + -3x = (16 + 2x) + x

Combine like terms: 2x + x = 3x

20 + -3x = 16 + 3x

Solving

20 + -3x = 16 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

20 + -3x + -3x = 16 + 3x + -3x

Combine like terms: -3x + -3x = -6x

20 + -6x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0

20 + -6x = 16 + 0

20 + -6x = 16

Add '-20' to each side of the equation.

20 + -20 + -6x = 16 + -20

Combine like terms: 20 + -20 = 0

0 + -6x = 16 + -20

-6x = 16 + -20

Combine like terms: 16 + -20 = -4

-6x = -4

Divide each side by '-6'.

x = 0.6666666667

Simplifying

x = 0.6666666667

Step-by-step explanation:

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The first bricklayer can build a wall in 15 days, the second bricklayer can build the same wall in 20 days. How long will it tak

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Answer:

It takes <u>8 4/7 </u>days for both bricklayers to build the wall together.

Step-by-step explanation:

The first bricklayer takes 15 days to build the wall, which means it builds 1/15 of the wall per day.

The second bricklayer takes 20 days to build the wall, which means it builds 1/20 of the wall per day.

So if they build the wall together, the expression below will tell how much of the wall they build per day together.

1/15 + 1/20

To add the fractions, we must find a common denominator, which is 60.

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So, they can build 7/60 of the wall per day together. How many days will it take them? We must find how many times 7 fits into 60, which can be done by solving 60/7, which is 8 4/7.

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3 years ago

What are the x-intercept and vertex of this quadratic function? Write each feature as an ordered pair: (a,b). The x-intercept of

Allisa [31]

The x-intercept of the function g(x) = -5(x - 3)^2 is (3, 0) and the vertex of the function g(x) = -5(x - 3)^2 is (3, 0)

<h3>How to determine the x-intercept?</h3>

The function is given as:

g(x) = -5(x - 3)^2

Set g(x) to 0, to determine the x-intercept.

-5(x - 3)^2 = 0

Divide through by -5

(x - 3)^2 = 0

Take the square root of both sides

x - 3 = 0

Add 3 to both sides

x = 3

Hence, the x-intercept of the function g(x) = -5(x - 3)^2 is (3, 0)

<h3>How to determine the vertex?</h3>

The function is given as:

g(x) = -5(x - 3)^2

A quadratic function is represented as:

g(x) = a(x - h)^2 + k

Where, the vertex is

Vertex = (h, k)

By comparing g(x) = a(x - h)^2 + k and g(x) = -5(x - 3)^2, we have

(h, k) = (3, 0)

Hence, the vertex of the function g(x) = -5(x - 3)^2 is (3, 0)

Read more about x-intercept and vertex at

brainly.com/question/1305604

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