SOMEONE PLZ CONTACT Tswee123 and tell the zoribelle is asking them not to leave

The graph of f(x) was vertically translated down by a value of k to get the function g(x) = 5x + k. What is the value of k? A -7

Nadya [2.5K]

Answer:

${\boxed{\text{A. }\math{k = -7}}$

Step-by-step explanation:

The general rule for vertical translation of a function ƒ(x) ⟶ ƒ(x) + k .

A positive value of k means that the graph is shifted up by k units.

The graph of ƒ(x) was shifted from (0, 1) to (0, -6).

$\text{The graph was shifted down by seven units, so }{\boxed{\mathbf{k = -7}}$

4 0

3 years ago

Read 2 more answers

The weather satellite shows that hurricane George is 1,728 kilometers southeast of Puerto Rico and moving northwest at 24 kilome

jenyasd209 [6]

Answer:

1. 3 days.

Step-by-step explanation:

We have been given that the hurricane George is 1,728 kilometers southeast of Puerto Rico and moving northwest at 24 kilometers per hour.

First of all we will find the number of hours it will take for George to reach Puerto Rico. We can find number of hours taken by hurricane George to reach Puerto Rico by dividing 1728 by 24.

$\text{Time}=\frac{\text{ Distance}}{\text{ Speed}}$

$\text{Time taken by hurricane George to reach Puerto Rico}=\frac{1728}{24}$

$\text{Time taken by hurricane George to reach Puerto Rico}=72$

We can see that George will reach Puerto Rico in 72 hours. Let us convert hours to days by dividing 72 by 24 (number of hours in a day).

$\text{Days taken by hurricane George to reach Puerto Rico}=\frac{72}{24}=3$

Therefore, the hurricane George will reach to Puerto Rico in 3 days, if the hurricane stays on its present course. Our first option is the correct choice.

8 0

2 years ago

Use the information provided to calculate the different parts of the proposal: The lazy river is basically a large circle that w

Step2247 [10]

Answer:

10,995.6 ft^3.

2300.3 gallons.

(both to the nearest tenth).

Step-by-step explanation:

Area of the surface of the river = area of the outer circle - area of the inner circle.

Radius of the outer circle = 30 *3 = 90 feet.

So the surface area of the river = π(90)^2 - π(85)^2

= 875π ft^2

Also the volume of the river = surface area * depth = 875π*4 = 3500π ft^3

= 10,995.6 ft^3.

Number of gallons of water it will hold = 10,995.6 / 4.78

= 2300.3 gallons.

4 0

3 years ago

What’s the slope of 10,6 and 4, 1.2

Kruka [31]

let's firstly change the 1.2 to a fraction

$1.\underline{2}\implies \cfrac{12}{1\underline{0}}\implies \cfrac{6}{5} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{\frac{6}{5}}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{6}{5}}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{10}}}\implies \cfrac{~~ \frac{6-30}{5}~~}{-6}\implies \cfrac{~~ \frac{-24}{5}~~}{-6}\implies \cfrac{~~ -\frac{24}{5}~~}{-\frac{6}{1}}$

$-\cfrac{\stackrel{4}{~~\begin{matrix} 24 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{5}\cdot -\cfrac{1}{\underset{1}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \boxed{\cfrac{4}{5}}$

4 0

2 years ago

What is the equation of a line, in general form, that passes though points (-1,2) and (5,2)?

Tom [10]

Answer:

A

Step-by-step explanation:

To write the equation of the line. first calculate the slope using the slope formula.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{2-2}{5--1}= \frac{0}{6} = 0$

Since the slope of this line is 0, it is horizontal and has the form y=b where b is the y-coordinate. So y = 2 is the equation. In general form, it would be y-2 = 0

3 0

3 years ago