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1 year ago

7

The graph of F(x) shown below resembles the graph of G(x)- x, but it has been changed somewhat. Which of the following could be

the equation of i(x)

1 answer:

Fudgin [204]1 year ago

4 0

We can solve this question in the following way. Looking at the graph, we see that F(x) is shifted from one unit to the right, and it is represented by | x - 1|. Then, we can multiply this result by 4 to have the final graph, since the graph is not inverted.

Therefore, the answer to this question is F(x) = 4 * | x - 1 |.

P

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Analysis of an accident scene indicates a car was traveling at a velocity of 69.5 mph (31.1 m/s) along the positive x-axis at th

STatiana [176]

We can find the acceleration via

${v_f}^2-{v_i}^2=2a\Delta x$

We have

$\left(5.20\dfrac{\rm m}{\rm s}\right)^2-\left(31.1\dfrac{\rm m}{\rm s}\right)^2=2a(115\,\mathrm m)$

$\implies\boxed{a=-4.09\dfrac{\rm m}{\mathrm s^2}}$

Then by definition of average acceleration,

$a_{\rm ave}=\dfrac{v_f-v_i}t$

so that

$-4.09\dfrac{\rm m}{\mathrm s^2}=\dfrac{5.20\frac{\rm m}{\rm s}-31.1\frac{\rm m}{\rm s}}t$

$\implies\boxed{t=6.33\,\mathrm s}$

We alternatively could have found the time without knowing the acceleration. Since acceleration is constant, the average velocity is

$v_{\rm ave}=\dfrac{x_f-x_i}t=\dfrac{v_f+v_i}2$

Then

$\dfrac{115\,\rm m}t=\dfrac{5.20\frac{\rm m}{\rm s}+31.1\frac{\rm m}{\rm s}}2$

$\implies\boxed{t=6.33\,\mathrm s}$

7 0

3 years ago

Evaluate 2 + 4/5 n for n = 1/4

Sophie [7]

Answer:

$2\frac{1}{5}$

Step-by-step explanation:

4 0

3 years ago

What is the product of 1/3 and 20.5?

tia_tia [17]

Answer:

6.83333333333 (repeated)

Step-by-step explanation:

1/3 x 20.5= 6.83333333333...

5 0

2 years ago

Read 2 more answers

BASKETBALL After Game 1, Felicia had scored 14 points. After Game 5, she had scored a total of 82 points for the season. After G

Stella [2.4K]

Let $p$ represents the number of points scored in $n$ number of games.

So, the graph, the number of games, n is on the horizontal axis and the points scored, p, is on the vertical axis.

After Game 1, the point scored is 14,

so, the first point, $P_1$ , on the graph is

$P_1=(1,14)$

After Game 5, the point scored is 82,

so, the second point, $P_2$ , on the graph is

$P_2=(5,82).$

After Game 10, the point scored is 129,

so, the second point, $P_2$ , on the graph is

$P_2=(10,129)$

First, represent all the three points, $P_1, P_2$ and $P_3$ , on the graph, then connect $P_1- P_2$ and $P_2 - P_3$ as shown in the figure.

4 0

3 years ago

On last week's climb, each climber carried a pack that was 28% of his or her body weight. One climber weighed 78 pounds. What wa

11Alexandr11 [23.1K]

<h3><u>Solution</u> : </h3>

weight of bag :

$28 \% \: \: of \: \: \: climber's \: \: weight$

$\dfrac{28}{100} \times 78$

$\dfrac{2184}{100}$

$21.84 \: \: \: pounds$

8 0

2 years ago