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2 years ago

Choose the equation for the red graph

Mathematics

1 answer:

Leona [35]2 years ago

3 0

The red line is a reflection across the x-axis, so the correct option is d.

<h3>How to write the equation for the red line?</h3>

First, we know that the black line is represented by y = f(x). Here, we can see that the red line is given by a reflection around the x-axis.

This reflection only changes the sign of the right side, then we get that the function of the red line is:

g(x) = -f(x)

Then we can write this as:

y = g(x) = -f(x) = -1*f(x)

If we divide both sides by -1, we get:

y/(-1) = f(x)

Like in option d, so that is the correct one.

If you want to learn more about reflections:

brainly.com/question/4289712

#SPJ1

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A brand new filled jar of salsa is 11 cm tall and a has a radius of 6 cm. Kelly eats some of the salsa and the salsa in the jar

Otrada [13]

Answer:

565cm³

Step-by-step explanation:

If Kelly eats the salsa until it is 6cm high, then she ate, in height, 11cm-6cm=5cm of salsa. The volume of the salsa she ate is in the shape of a cylinder, and the formula for calculating the volume of a cylinder is πr^2h. Since we have the values for r (radius) and h (height), we can solve for the volume.

V=πr^2h

V=π(6cm)^2(5cm)

V=180πcm³

This is equal to about 565cm³.

6 0

3 years ago

3) Scenario 1 Scenario 2 y = 50x x is time in hours y is distance in miles Compare the scenarios and determine which shows the g

Olegator [25]

Answer:

Option A.

Step-by-step explanation:

Consider the below figure attached with this question.

Scenario 1 represented by the graph.

From the graph it is clear that the line passes through the points (1,60) and (2,120).

Slope of the line is

$y=\dfrac{y_2-y_1}{x_2-x_1}$

$y=\dfrac{120-60}{2-1}=60$

The slope of line is 60. It means the speed is 60 miles per hour.

Scenario 2 defined by the equation,

$y=50x$

If an equation defined as $y=mx+b$ , then m is slope and b is y-intercept.

$m=50$

The slope of line is 50. It means the speed is 50 miles per hour.

The slope of Scenario 1 is greater than slope of Scenario 2. So, the Scenario 1 shows the greater speed.

Hence, the correct option is A.

6 0

3 years ago

Read 2 more answers

Please help on two math questions. I don’t understand how to do them.

Sidana [21]

When you represent intervals on the number line, you're including full dots, excluding empty dots, and you're considering numbers highlighted by the line.

In the first case, you've highlighted everything before -2 (full dot, thus included), and everything after 1 (empty dot, excluded). So, the set would be

$x\leq -2 \lor\ x>1$

or, in interval notation,

$(-\infty,-2]\cup (1,\infty)$

In the second case, you are looking for all numbers between -3 and 5. This interval is symmetric with respect to 1: you're considering all numbers that are at most 4 units away from 1, both to the left and to the right.

This means that the difference between your numbers at 1 must be at most 4, which is modelled by

$|x-1|\leq 4$

where the absolute values guarantees that you'll pick numbers to the left and to the right of 1.

3 0

3 years ago

Thea has a key on her calculator marked $\textcolor{blue}{\bf\circledast}$. If an integer is displayed, pressing the $\textcolor

mel-nik [20]

Answer:

$9$

Step-by-step explanation:

Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.

To find: number that Thea originally entered

Solution:

The final number is $243$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $243$ must be $324$.

As previously the number was squared, so the number before $324$ must be $18$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $18$ must be $81$

As previously the number was squared, so the number before $81$ must be $9$.

6 0

3 years ago

Which steps can be used in order to determine the solution to Negative 1.3 + 4.6 x = 0.3 + 4 x?

Mars2501 [29]

Answer:

x=8/3 OR 2.7

Step-by-step explanation:

-1.3+4.6x=0.3+4x

4.6x-4x=0.3+1.3

0.6x=1.6

x=1.6/0.6=8/3

x=8/3 OR 2.7

Hope this helps!

4 0

3 years ago

Read 2 more answers