Write the equation of the graph shown below in factored form.
f(x) = (x − 3)2(x + 2)(x − 1)
f(x) = (x + 3)2(x − 2)(x + 1)
f(x) = (x + 3)2(x + 2)(x + 1)
f(x) = (x − 3)2(x − 2)(x − 1)

The percent of change in the price of a cellphone from 2010

to today is 58.33%

The price of cellphone was $240 in 2010.

While the price of cellphone presently is $380.

The percent of change in the price of a cellphone from 2010  to today is:

Percent change in price = [(380 - 240)/240] * 100%

Percent change in price = 58.33%

Hence, The percent of change in the price of a cellphone from 2010

to today is 58.33%

Find out more at: https://brainly.com/question/17968508

Answer: y=(10/9)x+19

Step-by-step explanation:

The slope intercept form is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).

We are given the slope, m:

y=(10/9)x+b

To find b, enter the given point (0,19) and solve for b:

y=(10/9)x+b

19=(10/9)*(0)+b

b = 19

So we have y=(10/9)x+19

Answer:

fg(x)=f(g(x)

=f(x-5)

But ;f(x)=x+2

f(x-5)=(x-5)+2

=x-5+2

fg =x-3

gf(x)=g(f(x))

=g(x+2)

But ;

g(x)=x-5

g(x+2)=(x+2)-5

=x+2-5

=x-3

g(g)=g(x-5)

g(x-5)=(x-5)-5

=x-5-5

=x-1

Answer:

The indicated z-score is 1.77

Step-by-step explanation:

procedure  finding the z-value is listed below:

1.From the table of the standard normal distribution, locate the probability value as 0.9616.

2.Move left until the first column is reached. Note as 1.7.

3.Move upward until the top row is reached. Note as 0.07.

4.Locate the probability value, by the intersection of the row and column values, gives the area to the left of z = 1.77

SEE THE FORMULA BELOW.

Answer:

Acute angle

Step-by-step explanation:

45°= Acute Angle

‘Cause It's less than 90°

Answer:

Step-by-step explanation:

It's an acute angle. Acute, in this case, means anything between 0 and 90 written 0<x<90. Notice that you are using < and not ≤. The endpoints are not included. They have their own names. 90 is a right angle. 0 is called a zero degree angle.

Answer:

a. Breakfast is 10 & Lunch is 15

Step-by-step explanation:

25 = 50%

x = 30%

y = 20%

1% = 0.5 because 25/50= 0.5

0.5 x 30 = 15 and 0.5 x 20 = 10

Answer:

2.64m

Step-by-step explanation:

A rectangular table is measured to be 264 centimetres long and 1.55 metres wide.Convert the length of the rectangular table to metres. Write your answer as a decimal.

100cm = 1m

so

264cm = 2.64m

Answer:

you can write the equation of any line in the form of y = mx + b .

Step-by-step explanation:

Answer:

[tex]y = - \frac{1}{6} x + 2[/tex]

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

Let's first identify the coordinates of two points on the graph:

(-6, 3) and (6, 1)

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

Slope

[tex] = \frac{3 - 1}{ - 6 - 6} [/tex]

[tex] = \frac{2}{ - 12} [/tex]

[tex] = - \frac{1}{6} [/tex]

Substitute the value of the slope into m in the equation:

[tex]y = - \frac{1}{6} x + c[/tex]

To find the value of c, substitute a pair of coordinates into the equation.

When x= 6, y= 1,

[tex]1 = - \frac{1}{ 6} (6) + c[/tex]

1= -1 +c

c= 1 +1

c= 2

Thus, the equation of the line is y= -⅙x +2.

The y-intercept can also be derived from the graph as we can see that the line passes through the y- axis at (0, 2). This point can also be used to find the slope of the line too.

Answer:

65

Step-by-step explanation:

9x - y

9*7 - (-2)

63 + 2

65

Answer:

y = 4

Step-by-step explanation:

y ∝ x

y = kx (k is constant)

when y = 12 and x = 3

y = kx

=> 12 = k*3

∴ k = 4

when x = 1 and k = 4

y = kx

  = 4*1

   = 4

Answer:

hope u understand

refer the picture

Answer:

5

Step-by-step explanation:

Distance formula: (see attached file) pythogorean rule

is the squared coordinates x added to squared coordinates of y

X- coordinates: -5 & -9

Y- coordinates: -5 & -2

Substitute into equation:

[tex]distance = \sqrt{ ( - 5- - 9)^{2} + ( - 5 - - 2)^{2} } = 5[/tex]

Answer:

(2x - 3)(x + 9)

Step-by-step explanation:

A = 2

B = 15

C = -27

when we plug these numbers into the equation  (Ax^2 + Bx + C) we get

2x^2 + 15x - 27

using the "X" method we have to multiply the A term and C term together

so -27 x 2 = -54

so we have to find factors of -54 that also add to the middle term, 15

- 3 and 18 add to 15 but also multiply to -54 so we can add these numbers into the X (refer to drawing)

Answer:

4 3/8 i think

Step-by-step explanation:

Answer:

The expression is one line to the right of -5.

Step-by-step explanation:

Answer:

your answer is -2 1/3

Step-by-step explanation:

Your not smart how old are you btw but I don't know why you need help on first grade math!!!!!!!!!!!

But anyways here you go. and please leave a heart and give me a 5star rating

Answer:

260 Downloads

Step-by-step explanation:

s = number of standard downloads

3s = number of high-quality downloads

2.9s + 4.6(3s) = 4342

2.9s + 13.8s = 4342

16.7s = 4342

s = 260

The standard version was downloaded 260 times and the high-quality version was downloaded 780 times.

Answer:

Step-by-step explanation:

a.Changing f with -f does not change its domain, it just flips the image across the x axis. Adding 6 to the result, just shifts everything towards the positive y by 6 units. Domains stays the same, from -4 to +8. Range instead goes up, the lowest value is -2+6 = 4 and the highest value is 2+6 = 8.

So domain remains the same [-4; 8] and range goes to [4;8]

a. This time we're shifting everything on the horizontal axis, one unit to the left (the way to remember it is that f(x) has a minimum at x=4, while after the shift the new value happens at x=3) multiplying the value by 3 means that every value gets scaled up. It means the minimum becomes -2*3= -6 and the maximum happens at 2*3= 6. The shift brings the domain to [-5;7] and the range to [-6,6]

Answer:

$7.97

Step-by-step explanation:

5.95 + 1.03 + 0.99

= 7.97

This is the answer without tax.

Hope you could understand.

If you have any query, feel free to ask.

Answer:

50+p/3

Step-by-step explanation:

Each friend has a 50 flat fee = 50

Parking is divided between 3 people so each person pays 1/3 of the parking fee

if p = price of parking 50 + p/3

Answer:B. 17%

A.83%

B.17%

C.20%

D.10%

The unemployment rate in this hypothetical country is equal to 17%.

First of all, we would determine the percentage of people that are employed and then subtract this percentage from the total percentage of 100%.

The table below gives the complete information about the population and employment numbers for a hypothetical country:

Mathematically, employment rate can be calculated by using this formula:

[tex]Employment\;rate = \frac{Employed}{Labor\;force} \times 100\\\\Employment\;rate =\frac{500}{600} \times 100\\\\[/tex]

Employment rate = 83.3 ≈ 83%.

For the unemployment rate, we have:

Unemployment rate = 100 - 83

Unemployment rate = 17%.

Read more on unemployment here: https://brainly.com/question/734393

Answer:

21

Step-by-step explanation:

2 dozen=24

24-3=21

Answer:

See below

Step-by-step explanation:

The test is one-tailed (left-tailed in this case) because you are trying to prove that the true proportion is less than the proposed proportion of 11%

The test statistic, z, is given to us as z=-1.34 when rounded to 2 decimal places.

The p-value, p, is given to us as p=0.0908 when rounded to 4 decimal places.

The null hypothesis is [tex]H_o:p<0.11[/tex] because the original claim was that the proportion was less than 11%.

Hope this helped! It's been a while since I've done Statistics, but I believe this is all correct.

Answer:

refer to the picture for step by step answer

hope it helps

Answer:

Step-by-step explanation:

Equation of direct variation:

We have:

Find the value of k:

Now the equation is:

We have x = 15, find the value of y:

Step-by-step explanation:

61 degree

180 _ 58 =122

122 is the sum of the two angles

If we divide 122 by 2 we'll get 61

Answer:

61°

Step-by-step explanation:

hope this helps! :D