The required number is 19 given that -2 is added to a number, the sum is doubled and the result is -15 less than the number. This can be obtained by assuming the number as x, converting the given conditions to algebraic expression, forming algebraic equation and solving for x.

<h3>Find the required number:</h3>

Here in the question it is given that,

-2 is added to a number

The sum is doubled

The result is -15 less than the number

We have to find the required number.

Let the required number be x.

⇒ -2 is added to the number ⇒ -2 + x

⇒ the sum is doubled ⇒ 2(-2 + x)

⇒ the result is -15 less than the number ⇒ 2(-2 + x) = x -(-15)

2(-2 + x) = x + 15

⇒ - 4 + 2x = x + 15

⇒ x = 19

Hence the required number is 19 given that -2 is added to a number, the sum is doubled and the result is -15 less than the number.

Learn more about algebraic expression and equation here:

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6 0

1 year ago

An electrician charges an hourly rate of $75, but also charges a fixed fee for making house calls regardless of time spend on th

Trava [24]

The answer is going to be C(t)= 150

5 0

2 years ago

Read 2 more answers

Simplify and factories 16g + 32h - 48g - 40h

vodka [1.7K]

For this question you can say:
16g - 48g = -32g
and 32h - 40h = -8h
so you will have:
-32g - 8h and you can factor -8 so you will have:
-8(4g + h) :)))
i hope this is helpful
have a nice day

3 0

3 years ago

Given y=3x - 4, write an equation that is shifted down 10 and is less steep.

antoniya [11.8K]

Answer:

y = ½x - 14

Step-by-step explanation:

Given the linear equation, y = 3x - 4, where the slope, m = 3, and the y-intercept is (0, -4):

The slope of a linear equation represents the steepness of the line's graph. The higher the value of the slope, the steeper the line. Hence, the slope of the other line must be less than three, but is greater than zero: 0 < m < 3. (a negative slope will show a declining line).

Next, the vertical translation of the line involves changing the value of the parent graph's y-intercept. Since the prompt states that the equation must represent a downward vertical shift of 10 units, then the y-intercept of the other line must be (0, -14).

The linear equation that I have chosen that meets the requirements of the given prompt is: y = ½x - 14. You're more than welcome to choose a different slope, as long as it is less than 3, but is greater than 0 (must be a positive slope).

Attached is a graph of both equations, to demonstrate that the other equation represents a graph with a steeper slope than the original graph.

3 0

2 years ago