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3 years ago

Which statement correctly describes the relationship between the graph of f (x) = 2x and the graph of g (x) = f (x) − 4?

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

8 0

Answer:

D. The graph of g (x) is the graph of f (x) translated 4 units down.

Explanation:

To show a translation left or right, we add or subtract a value to x before the function is applied. That is not what has happened to this function, therefore this was not a horizontal translation.

To show a translation up or down, we add or subtract a value at the end of a function. The function g(x) = f(x) - 4 subtracts 4 from the end of the function f(x); this means that the function has been translated down 4 units.

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Skew lines a and b represent Donna's and Charlie's paths as they simultaneously walk on the first and second level of a shopping

vlabodo [156]

Answer: They cannot meet because two skew lines do not intersect each other.

Explanation:

Skew lines is a concept used in geometry to define lines that do not intersect each other but are not parallel.

In this case, the lines are not parallel because they lie in different planes, which in turn, do not intersect each other.

Therefore, runing the lnes in different planes and in different directions, they cannot not, in spite of not being parallel, intersect each other, which is called that the lines are skewed.

Donna's and Charlie's paths are an exelent illustration of what skew lines are: since Donna's and Charlie are in different levels, as long as each remains in parallel levels, their paths wiil not meet each other.

8 0

3 years ago

A cube has a surface area of 294 square cm. Find the length of one side.

DerKrebs [107]

Since a cube has 6 sides, we can divide 294 by 6, so we have the area of one side. Since it is a cube, we can just square root that, and you get 7 cm.

6 0

3 years ago

Apple weights in an orchard are normally distributed. from a sample farmer fred determines the mean weight of a box of apples to

Serjik [45]

<span>Mean = 270 Standard deviation = 10 x = 255 Formula for z-score, z = (x - mean)/SD z = (255 - 270) / 10 => z = -15 / 10 => z = -1.5 So by referring to z-table, -1.5 correlates to 0.0668 that implies to 0.07 So 7% of the boxes of Apples weight less than 255oz. The percentage of boxes is in the range of 255 oz and 270 oz, Now calculating the requiring percentage 50% - 7% = 43%</span>

7 0

3 years ago

Read 2 more answers

A trampolinist steps off from 15 feet above ground to a trampoline 13 feet below. The function h (t) = -16 t 2 + 15, where t rep

kondor19780726 [428]

Answer:

Trampolinist will land on the trampoline after 0.9 seconds.

Step-by-step explanation:

The function h(t) = -16t² + 15 represents the relation between height 'h' above the ground and the time 't' of the trampolinist.

We have to find the time when trampolinist lands on the ground.

That means we have to find the value of 't' when h(t) = 15 - 13 = 2

[Since trampoline is 2 feet above the ground]

When we plug in the value h(t) = 2

2 = -16t² + 15

2 + 16t² = -16t² + 16t² + 15

16t² + 2 = 15

16t² + 2 - 2 = 15 - 2

16t² = 13

$\frac{16t^{2}}{16}=\frac{13}{16}$

$t^{2}=\frac{13}{16}$

t = $\sqrt{\frac{13}{16}}$

t ≈ 0.9 seconds

Therefore, trampolinist will land on the trampoline at 0.9 seconds.

5 0

3 years ago

DUE TODAY!

Leokris [45]

<em>Independent variables are variables of a quantity that are not affected by any conditions. </em>

<em>Dependent variables are variables of a quantity that change if conditions relative to that variable changes.</em>

For example, we generally we take x as independent variable by x variable and dependent variable by y variable.

To find the rate of change we get two values of independent variable (x's) and two values of dependent variables (y's) to get two coordinates in form of

(x,1,y1) and (x2,y2).

<h3>And we can find the rate of change by applying slope formula</h3>

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

3 0

3 years ago