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2 years ago

14

How are <1 and <2 related

1 answer:

Stella [2.4K]2 years ago

3 0

Answer:

They are adjacent

Step-by-step explanation:

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Over the course of a year, a company goes from 115 employees to 124 employees.

just olya [345]

An equation that could be used to find the percent change, p, in the number of employees is:

$\begin{array}{l}{p=\frac{\text {change in number of employees}}{\text {previous count}} \times 100} \\\\ {\mathrm{p}=\frac{9}{115} \times 100}\end{array}$

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

Given that, Over the course of a year, a company goes from 115 employees to 124 employees.

Given that "p" represents the percent change

Percentage change equals the change in value divided by the absolute value of the original value, multiplied by 100.

$\text { Percent change "p" }=\frac{\text { change in number of employees }}{\text { previous count }} \times 100$

Change in number of employees = present count – previous count

So, change in number of employees = 124 – 115 = 9

$\begin{array}{l}{p=\frac{9}{115} \times 100} \\\\ {p=\frac{9}{23} \times 20} \\\\ {p=\frac{180}{23}=7.82}\end{array}$

The equation that is used to find the percent change is:

$\begin{array}{l}{\mathrm{p}=\frac{\text { change in number of employees }}{\text { previous count }} \times 100} \\\\ {\mathrm{p}=\frac{9}{115} \times 100}\end{array}$

7 0

2 years ago

An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : S

Darya [45]

Step-by-step explanation:

From given data,

n = 1496

x = 478

Proportion estimate ( p ) = $\frac{x}{n}$

= $\frac{478 }{1496}$ = 0.3195 ≅ 0.31

Proportion estimate ( p ) = 0.31

∴ The proportion of new car buyers who prefer foreign cars -> 0.31

4 0

2 years ago

which statements are true about the graph of the function f(x) = 6x – 4 x2? check all that apply. the vertex form of the functio

Brut [27]

Answer:

The vertex of the function is the point $(-3,-13)$

The graph increase over the interval--------> (-3,∞)

Step-by-step explanation:

we have

$f(x)=6x-4+x^{2}$

<u>1) Convert to vertex form</u>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+4=x^{2}+6x$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)+4+9=x^{2}+6x+9$

$f(x)+13=x^{2}+6x+9$

Rewrite as perfect squares

$f(x)+13=(x+3)^{2}$

$f(x)=(x+3)^{2}-13$ -----> function in vertex form

<u>2) Find the vertex</u>

The vertex of the function is the point $(-3,-13)$

<u>3) Find the axis of symmetry</u>

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

The x-coordinate of the vertex in this problem is equal to $x=-3$

therefore

the equation of the axis of symmetry is $x=-3$

<u>4) Find the increase-decrease intervals</u>

The graph increase over the interval--------> (-3,∞)

The graph decrease over the interval--------> (-∞,-3)

see the attached figure to better understand the problem

<u>5) Find the x-intercepts of the function</u>

we know that

the x-intercepts are the values of x when the value of the function is equal to zero

In this problem the x-intercepts are

$(-6.61,0)$ and $(0.61,0)$

so

The function cross the x-axis twice

see the attached figure

5 0

3 years ago

Read 2 more answers

The equation of the line in the graph is y=<br> X +

quester [9]

I can’t see the picture

4 0

2 years ago

Read 2 more answers

Find the radius for a circle defined by (x - 1)2 + y2 = 81.

Schach [20]

The radius is 9
The equation is
(x-h)^2 + (y-k)^2 = r^2

3 0

2 years ago