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Nataliya [291]
1 year ago
15

Which statements describe the graph of y = Negative RootIndex 3 StartRoot x minus 1 EndRoot + 2? Select three options.

Mathematics
2 answers:
SOVA2 [1]1 year ago
8 0

Answer:

The graph has a domain of all real numbers.

The graph has a y-intercept at (0,1).

The graph has an x-intercept at (-7,0).

Step-by-step explanation:

Given: The graph is y=\sqrt[3]{x-1}+2

The domain of a function is a set of input values for which the function is real and defined.

Thus, the graph has a domain of (-\infty, \infty).

To find the y-intercept:  To find the y-intercept, substitute x=0 in y=\sqrt[3]{x-1}+2.

\begin{aligned}y &=\sqrt[3]{x-1}+2 \\&=\sqrt[3]{0-1}+2 \\&=-1+2 \\&=1\end{aligned}

Thus, the y-intercept is (0,1)

To find the x-intercept: To find the x-intercept, substitute y=0 in y=\sqrt[3]{x-1}+2 .

\begin{aligned}y &=\sqrt[3]{x-1}+2 \\0 &=\sqrt[3]{x-1}+2 \\-2 &=\sqrt[3]{x-1} \\(-2)^{3} &=(\sqrt[3]{x-1})^{3} \\-8 &=x-1 \\-7 &=x\end{aligned}

Thus, the x-intercept is (-7,0)

timama [110]1 year ago
4 0

Answer:

A. D. and E.

(this is for edg btw)

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The table represents the equation y = 2 – 4x. A 2-column table with 5 rows. The first column is labeled x with entries negative
kherson [118]

The missing value for x=-1 is y=6

Explanation:

It is given that the equation for the table is y=2-4x

The table has 2 column with 5 rows.

Thus, we have,

x       y

-2      10

-1       ---

0        2

1        -2

2       -6

We need to determine the value of y when x=-1

The value of y can be determined by substituting x=-1 in the equation y=2-4x

Thus, we have,

y=2-4(-1)

Multiplying the term within the bracket, we have,

y=2+4

Adding the terms, we have,

y=6

Thus, the value of y when x=-1 is 6.

Hence, the missing value for x=-1 is y=6

7 0
1 year ago
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Line AB has an equation of a line y = 5x − 2. Which of the following could be an equation for a line that is parallel to line AB
SpyIntel [72]
Determine the slope of line AB
m = 5

Determine the slope of the lines from the options
First option: y = 5x + 3, the slope is 5
Second option: y = (1/5)x + 3, the slope is 1/5
Third option: y = -5x + 3, the slope is -5
Fourth option: y = (-1/5)x + 3, the slope is -1/5

Parallel lines are similar in the slope. So the line which is parallel to line AB must have the slope of 5.

The answer is first option.
4 0
2 years ago
Triangle XYZ was dilated using the rule DO,0.25 (x, y) → (0.25x, 0.25y). The image is shown in the diagram. What are the coordin
yaroslaw [1]

I was able to find the image associated with this question, in which the coordinates of point Z are given as (-2,-1).

We know that the coordinates of a point are multiplied by the scale factor to give the new coordinates. Since these coordinates result after the dilation, we divide them by the scale factor to obtain the original coordinates as such:

-2/0.25 , -1/0.25

(-8 , -4)



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2 years ago
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Peter's salary is twice Anne's salary and half of David's salary. Then the average salary of Anne and David is _ of Peter's sala
satela [25.4K]
<h3><u>Answer:</u></h3>

Average of salary of Anne and David is 1.25 of Peter's Salary

<h3><u>Explanation:</u></h3>

In the question, relations between salaries of Peter, Anne, and David is given. From the given relations, we need to make few equations and calculate the average of Anne and David in terms of Peter's Salary.

Let us assume Peter's Salary as P.

Then we can calculate Anne's salary A = \frac{P}{2}.

Also David's salary = D = 2 \times P

Average of Anne's and David's salary = \frac{A+D}{2}

Average of Anne's and David's salary  = \frac{\frac{P}{2} + 2 \times P}{2}

Average of Anne's and David's salary  = \frac{5 \times P}{4}

Average = 1.25 \times P

6 0
2 years ago
A town has a population of 5000 and grows 3.5% every year. To the nearest tenth of a year, how long will it be until the populat
oksano4ka [1.4K]

Answer:

Step-by-step explanation:

This is an exponential function. In order to find the answer to the question, we need to first determine what the equation is that models this information. The standard form for an exponential function is

y=a(b)^x where a is the initial value and b is the growth/decay rate. If the starting population is 5000, then

a = 5000

If the population is growing, that means that it retains 100% of the initial population and is added to by another 3.5%. So in a sense the population grows 100% + 3.5% = 103.5% or, in decimal form, 1.035. So

b = 1.035

Our function is

y=5000(1.035)^x where y is the ending population and x is the number of years it takes to get to that ending population. We want to know how long, x, it will be til the population reaches 7300, y.

7300=5000(1.035)^x and we need to solve for x. The only way to do that is by using logs. I'll use natural logs for this.

Begin by dividing both sides by 5000 to get

1.46=1.035^x and take the natural log of both sides:

ln(1.46)=ln(1.035)^x

The power rule for natural logs is that we can now bring the exponent down in front of the ln to get:

ln(1.46)=xln(1.035) To solve for x, we now divide both sides by ln(1.035):

\frac{ln(1.46)}{ln(1.035)}=x

Do that division on your calculator and get that

x = 11.0 years.

That means that 11 years after the population was 5000 it will be expected to reach 7300 (as long as the growth rate remains 3.5%)

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2 years ago
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