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3 years ago

Which graph shows the solution to the inequality -3x-7 <20?

Mathematics

1 answer:

ki77a [65]3 years ago

4 0

Answer:

x > -9

Step-by-step explanation:

The solution to the inequality is obtained as follows:

-3x -7 < 20

-3x - 7 + 7 < 20 + 7

-3x < 27

-3x/(-3) > 27/(-3)

x > -9

Notice that when you divide by a negative number, the inequality sign changes.

In the picture attached, the graph of the solution s shown. Notice that -9 is not included in the solution.

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BRAINLIESTTT ASAP! PLEASE HELP ME :)

GrogVix [38]

Answer:

1. Type of function: absolute value function

2. The three transformations from the parent function f(x) = |x| are:

Translation 3 units to the left
Vertical stretch with a scale factor of 2
Translation 5 units downward

Explanation:

1. Type of function

The parent function |x| is the absolute value function. It returns the positive value of the argument (x).

Thus the function f(x) = 2|x + 3| - 5 is also an absolute value function.

It returns the positive value of x + 3, then multiplyes it by 2, and finally subtract 5.

This is a piecewise function.

For the values of x ≥ - 3, the output is 2(x +3) - 5 = 2x + 6 - 5 = 2x + 1.

For the values of x < - 3, the output is 2 (-x - 3) - 5 = -2x - 6 - 5 = -2x - 11.

The vertex of this function is at x = - 3: 2 (- 3 + 3) - 5 = 2(0) - 5 = 0 - 5 = 5.

Thus the vertex is (-3, 5).

2. Transformations from the parent function f(x) = |x|.

When you know the parent function and the daughter function you can know the transformations done of the former to get the later by some simple rules.

a) Translation in the horizontal direction.

When you add a positive value to the argument the function is translated to the left.

Thus, when you add 3 to x, |x| becomes |x + 3| and it is a translation 3 units to the left.

b) Vertical stretch

When you multiply the argument by a constant, the function stretches vertically.

Thus, when you multiply |x + 3| by 2, to get 2|x + 3|, the function is vertically stretched by a scale factor of 2.

c) Vertical translation

When you subtract a constant value from the function, you translate it downward.

Thus, when you subtract 5 from 2|x + 3| - 5, you translate the function 5 units downward.

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3 years ago

1. The weekly ad for a local grocery store advertises a 5 pound bag of organic apples for $13.95. Round each rate to the nearest

olga_2 [115]

Answer:

$2.79 per pound.

$0.93 per apple.

Unit price per pound is typically used because weight and size of every apple is not same.

Step-by-step explanation:

5 pound bag of organic apples = $13.95

1 pound bag of organic apples = $13.95/5

= $2.79

The unit price of apples that cost $13.95 for 5 pounds is $12.79 per pound.

As a general rule, 1 pound of apples is equal to: 4 small apples. 3 medium apples. 2 large apples. So, here we assume that apples are of medium size.

3 apples cost = $2.79

The unit price means 'what is the cost of 1 apple'

1 apple cost =$2.79/3

=$0.93

The unit price of apples that cost $2.79 for 3apples is $0.93 per apple.

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Answer:

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Answer:

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Step-by-step explanation:

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Which graph shows the solution to the inequality -3x-7 <20?​

Which graph shows the solution to the inequality -3x-7 <20?