Switch the rule 2(x - 5) + 12 into simplified (or standard) form.
Please show the work aswell

Answers

Answer 1

Answer:

6x + 9

Step-by-step explanation:

2(3x + 1) + 7, distribute 2 through the parentheses

6x + 2+7

6x + 9

Hope this helps!:)


Related Questions

supposea,b,and c represent three postive whole numbers. if a+b=19, b+c=28, and a+c=25 what are the values of a, b, and c? solve for x sqaured 2 -4x +3 = 0

Answers

Hello can you help me Solve each system of equations by GRAPHING. Clearly identify your solution.
(4x-y=3)
(3x+y=4)


Please help I need this answer and an explanation of how you got it I really do need this if you can help please it would mean so much to me I REALLY NEED HELPPPP

8500 dollars is placed in an account with an annual interest rate of 7%. To the nearest year, how long will it take for the account value to reach 59700 dollars?

Answers

Answer:

6

Step-by-step explanation:

j

Answer:29

Step-by-step explanation:

during a test of a totalizing flow meter, the water depth rose 15 inches in a tank 18 inches in diameter. What was the total flow in gallons

Answers

Answer:

The total flow in gallons is approximately 16.524 gallons

Step-by-step explanation:

The given diameter of the tank, D = 18 inches

The amount by which the water depth rose, Δh = 15 inches

The quantity being measured = The total flow = The change in volume of water in the tank

The change in the volume of the water in the tank, ΔV = (π × D²/4) × Δh

Substituting the known values, gives;

ΔV = (π × D²/4) × Δh = (π × (18 in.)²/4) × (15 in.) ≈ 3817.035 in.³

1 gallon = 231 in.³

ΔV ≈ 3817.035 in.³ = 3817.035 in.³ × 1 gallon/(231 in.³)  ≈ 16.524 gallons

The change in the volume of the water in the tank, ΔV in gallons = The total flow in gallons ≈ 16.524 gallons.

these kids are mad annoying no cap

Answers

ever little kid is annoying !!!

Answer: :) :0 :D :P :N intresting question

Step-by-step explanation: i dont know what the H -e -l -l I'm doing here


What point is on both lines y = {x +3 and y = x +1? (1 point)




Please help ASAP

Answers

Answer:

No point

Step-by-step explanation:

This is a trick question because if you break down the graphing equations to y=mx+b, you see that it is a linear graph, so it will have a straight line. For the first equations, y=x+3, you look at the original equations, y=mx+b. m=slope, b=x-intercept. Slope is rise/run (y/x) so the slope would be up one, over one (1/1=1). The x-intercept is 3 so its a straight line but it intercepts at 3. The next equation is the exact same thing, but the x-intercept is at 1. A straight line that intercepts at 1. So it is two parallel lines that never ever touch. So this is a trick question.

Given z1=9+9sqrt(3)i and z2=2+sqrt(3)i what is z2-z1
This is urgent will give brainliest!

Answers

Answer:

[tex] = 2 + \sqrt{3} i - (9 + 9 \sqrt{3} i) \\ = (2 - 9) + ( \sqrt{3} - 9 \sqrt{3} )i \\ = - 7 + (1 - 9) \sqrt{3} i \\ = - 7 - 8 \sqrt{3} i[/tex]

The required simplification of z2-z1 = -7-8sqrt(3)i.

z1=9+9sqrt(3)i
z2=2+sqrt(3)i
z2-z1 to be determined.

What is a complex number?

A complex number is defined as the sum of a real and imaginary numbers.

Here,
[tex]z_1=9+9\sqrt(3)i\\z_2=2+\sqrt(3)i\\\\z_2-z_1 = 2+\sqrt(3)i-(9+9\sqrt3i\\z_2-z_1 = 2-9+\sqrt(3)i-9\sqrt3i\\z_2-z_1 = -7-8\sqrt(3)i[/tex]

Thus, the required simplification of z2-z1 = -7-8sqr(3)i.


Learn more about complex numbers here:

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HELP. How long is the minor axis for the ellipse shown below?

Answers

Given:

The equation of ellipse is

[tex]\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1[/tex]

To find:

The length of the minor axis.

Solution:

The standard form of an ellipse is

[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex]      ...(i)

where, (h,k) is center, if a>b, then 2a is length of major axis and 2b is length of minor axis.

We have,

[tex]\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1[/tex]      ...(ii)

On comparing (i) and (ii), we get

[tex]b^2=16[/tex]

Taking square root on both sides.

[tex]b=\pm 4[/tex]

Consider only positive value of b because length cannot be negative.

[tex]b=4[/tex]

Now,

Length of minor axis = [tex]2b[/tex]

                                  = [tex]2(4)[/tex]

                                  = [tex]8[/tex]

So, the length of minor axis is 8 units.

Therefore, the correct option is B.

Can I get some help ill make you brainlist and ill give 100 points

Answers

Answer:

the first one is 65 degrees i think

Step-by-step explanation:

Answer:

I HAVE NO IDEA

Step-by-step explanation:

Please give me brainliest im determine i really

have only been picked one time and please give me brainliest i really need it im sorry i didnthelp but im litterly crying right now please please please give me brainliest

What does bc equal ?

Answers

Answer:

180

Step-by-step explanation:

Can this be a line of symmetry?

Answers

Answer:

No, it can not

Step-by-step explanation:

Hope this helped have an amazing day!

No
Explanation: The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.

Which of the following are irrational numbers?
Check all that are true.

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Answers

Is this a joke?????????????????

Answer:

d for sure

Step-by-step explanation:

Item 12 You win an online auction for a toy. Your winning bid of $52 is 65% of your maximum bid. How much more were you willing to pay for the toy than you actually paid?

Answers

Answer:

$28

Step-by-step explanation:

Given that:

Value of Winning bid = $52

Winning bid 65% of the maximum bid.

To find:

How much more is the maximum bid from the winning bid ?

Solution:

We are given that the winning bid is 65% of the maximum bid.

Using this percentage value, we need to first find the value of maximum bid and then we need to subtract the value of winning bid from the maximum bid to find the answer.

Let the value of maximum bid = $[tex]x[/tex]

As per question statement:

[tex]65%\ of\ x = 52\\\Rightarrow \dfrac{65}{100} \times x =52\\\Rightarrow 5x = 400\\\Rightarrow x = \dfrac{400}{5}\\\Rightarrow x =\$80[/tex]

Therefore, maximum bid = $80

Our answer is:

$80 - $52 = $28

Find the constant of proportionality for the table of values.
х
4
5
6
7
у
14
17.5
21
24.5
The constant of proportionality is k =

Answers

Answer:

[tex]\huge\boxed{k=3.5}[/tex]

Step-by-step explanation:

[tex]\dfrac{y}{x}=constant=k[/tex]

Divide the y value by its corresponding x value:

[tex]\dfrac{14}{4}=\dfrac{7}{2}=3.5\\\\\dfrac{17.5}{5}=3.5\\\\\dfrac{21}{6}=\dfrac{7}{2}=3.5\\\\\dfrac{24.5}{7}=3.5[/tex]

An equation for a house's value is y = 7500x + 125000,
where y is the value in dollars and
x is the time in years, starting now.
a) What is the y-intercept of this equation?
b) What does the y-intercept represent?
c) What is the value of the house 2 years from now?
d) At what rate is the house value changing from year to year​

Answers

9514 1404 393

Answer:

  a) 125000

  b) the value now

  c) 140000

  d) 7500 per year

Step-by-step explanation:

a) Comparing the equation to slope-intercept form (y = mx+b) we see that the y-intercept (b) is 125000.

__

b) We presume that "starting now" means x=0 corresponds to "now." The y-intercept is the value when x=0, so the y-intercept represents the value now.

__

c) When x=2, the value is ...

  y = 7500(2) +125000 = 140000

The value of the house is projected to be 140000 two years from now.

__

d) The coefficient of x being 7500 means the value will increase 7500 each year.

The quantities xxx and yyy are proportional. xxx yyy 222 222222 777 777777 999 999999 Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x. r =r=r, equals

Answers

Answer:

If the table is:

x=2 y=22

x=7 y=77

x=9 y=99

you can see that 22/2=11 same with 7/77 and 9/99

r=11

Step-by-step explanation:

pretty simple but i probably explained it horribly

The constant of proportionality (r) is 11 for the given variables in the table.

What is the constant of proportionality?

The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.

The table is given in the question consists as:

The value of variable x = 2 when variable y = 22

The value of variable x = 7  when variable y = 77

The value of variable x = 9  when variable y = 99

We have to determine the constant of proportionality (r)

the constant of proportionality (r) = y / x

Substitute the values in the above equation,

the constant of proportionality (r) = 22/2 = 7/77 = 9/99 = 11

the constant of proportionality (r) =11

Thus, the constant of proportionality (r) is 11 for the given variables in the table.

To learn more about the constant of proportionality here:

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Need help please!!!!!!!

Answers

I believe it’s the last one
Mark brainliest if satisfied

Answer:

First Option {-2 , 0 , 2}

Step-by-step explanation:

A critical point occurs when the derivative is 0 or undefined.

The function in the question is undefined at x = 2 and at x = -2 because if we put x = 2 or x = -2 the denominator becomes 0 hence anything divided by 0 is undefined, and the derivative equals 0 at x = 0 so the critical points are

{-2 , 0 , 2}

Use the quotient rule to find the derivative of the function then equal it to zero

[tex]y=\frac{x^2-1}{x^2-4}\\\\\frac{dy}{dx}=\frac{(x^2-4)(2x)-(x^2-1)(2x)}{(x^2-4)^2}\\\\0=\frac{(x^2-4)(2x)-(x^2-1)(2x)}{(x^2-4)^2}\\\\0=2x^3-8x-2x^3+2x\\0=-6x\\x=0[/tex]

The diagram shows the number of quarts of blood the human heart pumps per minute. A drawing shows an anatomy of human heart. Label reads: Pumps 5 quarts of blood per minute. a. How many quarts of blood does the human heart pump per hour? quarts per hour Question 2 b. How many liters of blood does the human heart pump per minute? liters per minute

Answers

The unitary method is used to find the unit value of any quantity.

(a)The human heart pumps 300 quarts/hour.

(b) The human heart pumps 4.730 liters/minute.

What is Unitary method ?

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

Reading on the label is 5quarts/min.

Since, 60 min = 1 hour

Use unitary method to get,

1 min = 1 / 60 hour.

Therefore, pumping of blood in quarts/hour = 5 / (1 / 60)

                                                                         = 5 × 60

                                                                         =  300

Since, 1 quart = 0.946 liter

The pumping of blood in liter/minute = 0.946 × 5

                                                               = 4.730.

Hence, the human heart pumps 300 quarts of blood per hour and 4.730 liter of blood per minute.

To know more about unitary method click on,

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Help how do I do this?

Answers

The answer will be 2(x+5)(x+3). I hope this will be easier.

Answer:

THE ANSWER IS 9

bc you will distribute 2x+16-2 18÷2 =9

Triangle DABC is similar to DEFG.


What is the area of DEFD?





Select the best answer from the choices provided.
A.
250 in.2
B.
125 in.2
C.
10 in.2
D.
5 in.2

Answers

Answer:

is there an image provided?

Step-by-step explanation:

The correct answer I believe is c

please help me with this

Answers

Answer:

top right equation

Step-by-step explanation:

y=x^2-2

my answer got deleted. so stup id

goran just bought a refrigerator for $851. He paid $255.20 in down payment and will pay the rest in 6 equal installments. How much does he need to pay for each installment

Answers

Answer:

106.13

Step-by-step explanation:

855-255.2=636.8

636.8/6=106.13333

USE The two Approches, Find
The lCM OF 48, 60,72​

Answers

answer it is right at right write L.C.M

What is the average rate of change of f over the interval -1 on a separate sheet of paper and upload the work as a photo. Show all
appropriate work necessary for full credit.
f(x)=
x² - x - 1

Answers

Answer:

Average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1

Step-by-step explanation:

We need to find average rate of change of f over the interval -1 < x < 1

The function given is: [tex]f(x)= x^2-x-1[/tex]

The formula used to find average rate of change is:

[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}[/tex]

We have, a = -1 and b = 1

Finding f(b) when b=1

[tex]f(x)=x^2-x-1\\f(1)=(1)^2-(1)-1\\f(1)=1-1-1\\f(1)=-1[/tex]

Now, finding f(a), when a= -1

[tex]f(x)=x^2-x-1\\f(-1)=(-1)^2-(-1)-1\\f(1)=1+1-1\\f(-1)=2-1\\f(-1)=1[/tex]

Now, putting values and finding average rate of change

[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}\\Average\:rate\:of\:change=\frac{f(1)-f(-1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-(1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-1}{1+1}\\Average\:rate\:of\:change=\frac{-2}{2}\\Average\:rate\:of\:change=-1[/tex]

So, average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1

What do you call a person or an institution who invests the money or the
one who makes the funds available?

Answers

An institutional investor is a person or organization that trades securities in large enough quantities that it qualifies for preferential treatment and lower fees. A retail investor is an individual or non-professional investor who buys and sells securities through brokerage firms or savings accounts.

tip: make sure to reword it

Answer:

Lender

Quizzz review some of this the test name is

Math Math Math!!!!

10 questions

By:Mrs. Bagauisan

wa says that 15 years from now his age will be 3 times his age 5 years ago. If a represents William's present age complete the following 25 years 28 years X-15= 3+ 5) x+15= 3(4-5) The equation representing William's claims​

Answers

Answer:

x+15 = 3(x-5)

Step-by-step explanation

Let the william present age be a, we are to find the equation representing William's claims​

15 years from now, williams age will  be x+15

5 years ago, his age will be x - 5

if 15 years from now his age will be 3 times his age 5 years ago, this is expressed as;

x+15 = 3(x-5)

Hence the required equation is x+15 = 3(x-5)

The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be doubled Give your answer correct to the nearest whole number

Answers

Answer:

It will take 9 years for the population to double

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

[tex]P=P_o(1+r)^t[/tex]

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

[tex]2P_o=P_o(1+0.08)^t[/tex]

Simplifying:

[tex]2=(1.08)^t[/tex]

Taking logarithms:

[tex]\log 2=\log (1.08)^t[/tex]

Applying the exponent property of logs:

[tex]\log 2=t\log (1.08)[/tex]

Solving for t:

[tex]\displaystyle t=\frac{\log 2}{\log (1.08)}[/tex]

Calculating:

[tex]t\approx 9[/tex]

It will take 9 years for the population to double

The equation y = 12 - 0.2x shows the amount of candle that is left (in ounces) after
burning for x hours. What is the y - intercept for the function, and what does it represent

Answers

Answer:

The y-intercept is 12.

It represents the original length of the candle.

Step-by-step explanation:

y = 12 - 0.2x

y = 0.2x + 12

y = mx + b

b is the y-intercept.

b = 12

The y-intercept is 12.

It represents the original length of the candle.

Help please. Given f(x) and g(x) = k•f(x), use the graph to determine the value of k.
3
1/3
-1/3
-3

Answers

Answer:  - 1/3

Step-by-step explanation:

A particle moves along the curve y = 5x^2 – 1 in such a way that the y value is decreasing at the rate of 2 units per second. At what rate is x changing when x = 1?


Decreasing one fifth unit/sec

Increasing one fifth unit/sec

Decreasing one tenth unit/sec

Increasing one tenth unit/sec

Answers

Answer:

The correct option is;

Increasing one fifth unit/sec

Step-by-step explanation:

The equation that gives the curve of the particle of the particle is y = 5·x² - 1

The rate of decrease of the y value dy/dt = 2 units per second

We have;

dy/dx = dy/dt × dt/dx

dy/dx = 10·x

dy/dt = 2 units/sec

dt/dx = (dy/dx)/(dy/dt)

dx/dt = dy/dt/(dy/dx) = 2 unit/sec/(10·x)

When x = 1

dx/dt = 2/(10·x) = 2 unit/sec/(10 × 1) = 1/5 unit/sec

dx/dt = 1/5 unit/sec

Therefore, x is increasing one fifth unit/sec.

Identify the domain and range of the function.

Answers

Answer:

Domain is all real numbers, and range is all integers.  (D)

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