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4 years ago

I need the inverse operation for questions 1,3,7,9

Mathematics

1 answer:

Veseljchak [2.6K]4 years ago

7 0

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

Replace g(x) with y

y = (x-3)^2 -5

Switch the x and the Y:

x = (y-3)^2 -5

Solve for y:

Add 5 to both sides:

x + 5 = (y-3)^2

Take the square root of both sides:

+ /- SQRT(x+5) = y -3

Add 3 to both sides:

y = +/- SQRT(x +5) +3

The solution is both the positive and negative:

SQRT(x +5) +3 and -SQRT(x+5) +3

7. Following the same steps as 3

The answer is SQRT(x-2) -6 and -SQRT(X-2) -6

9. Following thw same steps as 3.

The answer is SQRT(2(x+4)) +2 and - SQRT(2(x+4))

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A gallon has a volume of 231 cubic inches. If a gallon of milk was sold im a perfectly cubical container, to the nearest tenth o

maksim [4K]

<h2>Answer:</h2>

<em>B</em><em>. 6.1 inches </em>

<h2>Step-by-step explanation:</h2>

You find third square root of 231 $\sqrt[3]{231}$

I hope I helped you. I will be really happy, If you mark my answer as the brainliest.Your David.

7 0

3 years ago

H shows the ratio of pencils to pens sold at the school bookstore. If the bookstore sells 15 pencils, what is the ratio of penci

My name is Ann [436]

Answer:

$Ratio = \frac{3}{2}$

Step-by-step explanation:

See attachment for complete question.

We start by solving for the equation of the graph (The graph shows a linear equation)

Represent pencils with x and pen with y

From the graph, we have that:

$(x_1,y_1) = (6,4)$

$(x_2,y_2) = (12,8)$

Solve for slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{8 - 4}{12- 6}$

$m = \frac{4}{6}$

$m = \frac{2}{3}$

The equation is calculated using:

$y - y_1 = m(x - x_1)$

Where

$m = \frac{2}{3}$

$(x_1,y_1) = (6,4)$

$y - 4 = \frac{2}{3}(x - 6)$

$y - 4 = \frac{2}{3}x - \frac{2}{3} * 6$

$y - 4 = \frac{2}{3}x - \frac{2 * 6}{3}$

$y - 4 = \frac{2}{3}x - \frac{12}{3}$

$y - 4 = \frac{2}{3}x - 4$

Add 4 to both sides

$y - 4 +4= \frac{2}{3}x - 4 + 4$

$y= \frac{2}{3}x$

Now, to the question.

When pencils is 15 implies that

$x = 15$

Solving for x, we have:

$y= \frac{2}{3}x$

$y= \frac{2}{3} * 15$

$y= \frac{2* 15}{3}$

$y= \frac{30}{3}$

$y= 10$

i.e. Pen = 10

Ratio = x ; y

$x : y = 15 : 10$

Convert to fraction

$\frac{x}{y} = \frac{15}{10}$

Simplify

$\frac{x}{y} = \frac{3}{2}$

Hence,

$Ratio = \frac{3}{2}$

8 0

3 years ago

Read 2 more answers

Is 26 a perfect square explain

Nataly_w [17]

No because there is not a number that is the same number that equals to 26

5 0

4 years ago

Hannah buys some shoes in sale marked 40% off she pays 27 for the shoes what price were the shoes the shoes orginally

mezya [45]

Given:

The price of shoes after discount = 27

Discount % = 40%

To find:

The original price of shoes before discount.

Solution:

Let x be the original price of shoes before discount.

The price of shoes after 40% discount is

$\text{New price}=x-\dfrac{40}{100}\times x$

$\text{New price}=x-0.4x$

$\text{New price}=0.6x$

The price of shoes after discount = 27

$27=0.6x$

$\dfrac{27}{0.6}=x$

$45=x$

Therefore, the original price of the shoes is 45.

5 0

3 years ago

Which function has a vertex on the y-axis?

andre [41]

F(x) = (x - 2)(x + 2)

7 0

3 years ago