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3 years ago

Which expression is equivalent to (10 + 7 r - r ^ 2) + (-6 r ^ 2 - 18 + 5 r)

Mathematics

1 answer:

garik1379 [7]3 years ago

7 0

Answer:

-7r^2+12r-8

Step-by-step explanation:

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-3.75q -5q = 26.25 please give me a correct answer!

garri49 [273]

Answer:

q= -3

Step-by-step explanation:

3 0

3 years ago

What transformations produce the graph of g(x)=3^-x+7 from the graph of the parent function f(x)=3^*? select all that apply

galina1969 [7]

Changing the x from positive to negative, reflects the graph over the Y-Axis.

Adding 7 to X shifts the graph horizontally 7 units to the right.

4 0

3 years ago

Read 2 more answers

Following a recent dramatic drop of 500 points in the Dow Jones Industrial Average, a poll conducted for the Associated Press fo

Strike441 [17]

Using statistical concepts, it is found that the term that best describes the number 92% is:

a. statistic.

If the information is taken from a sample, it is called a statistic.

If the information is taken from a population, it is called a parameter.

In this problem, 92% of those polled said that a year from now their family financial situation will be as good as it is today or better, that is, 92% of the sample, hence, it is a statistic, and option a is correct.

To learn more about the concepts of statistic and parameter, you can take a look at brainly.com/question/16840464

5 0

2 years ago

Leila puts an integer into the "In" box of each machine.

kykrilka [37]

The machines represent equivalent expressions.

The output produced by both machines is 372

The equation represented on machine A is:

$\mathbf{y = 2(5x + 3) - 24}$

The equation represented on machine B is:

$\mathbf{y = 4(2(x + 11) - 7)}$

Where: x and y represent the inputs and the outputs, respectively

When the outputs are the same, it means:

$\mathbf{y = y}$

So, we have:

$\mathbf{2(5x + 3) - 24 = 4(2(x + 11) - 7)}$

Open brackets

$\mathbf{10x + 6 - 24 = 8x + 88 - 28}$

$\mathbf{10x - 18 = 8x + 60}$

Collect like terms

$\mathbf{10x - 8x = 18 + 60}$

$\mathbf{2x = 78 }$

Divide both sides by 2

$\mathbf{x = 39 }$

Substitute 39 for x in $\mathbf{y = 2(5x + 3) - 24}$

$\mathbf{y = 2 \times (5 \times 39 + 3) - 24}$

$\mathbf{y = 372}$

Hence, the output produced by both machines is 372

Read more about equivalent expressions at:

brainly.com/question/15715866

4 0

2 years ago

The height of a triangle is 8 m more than the length of the base. The area of the triangle is 21 m^2. Find the height of the tri

Alexus [3.1K]

Answer:

<h2>height = 12 cm</h2>

Step-by-step explanation:

Area of a triangle is given by

$A = \frac{1}{2} bh$

where

b is the base

h is the height

From the question

Area = 21 m²

The statement

The height of a triangle is 8 m more than the length of the base is written as

h = 8 + b

Make b the subject

That's

b = h - 8

Substitute the expression into the above formula and solve for the height

That's

$21 = \frac{1}{2} (h - 8)h$

Multiply through by 2

h² - 8h = 48

h² - 8h - 48 = 0

(h + 4)(h - 12) = 0

h + 4 = 0 h - 12 = 0

h = - 4 h = 12

Since the height cannot be a negative number we have the final answer as

<h3>height = 12 cm</h3>

Hope this helps you

3 0

3 years ago