solve each equation for given variable
- 12 = 6i- 6

Answers

Answer 1
Answer: i = -1

Explanation:
First get the variable by itself. To do that, add six to both sides of the equation. You will have -6 = 6i. Than divide both sides by 6. It will give you i = -1.
Answer 2
-12 = 6i - 6
-12 + 6 = 6i - 6 + 6
-12 + 6 = 6i
(-12 + 6)/6 = (6i)/6
(-12 + 6)/6 = i

i = (-12 + 6)/6

Related Questions

need help pls and thank you

Answers

Answer:

y=25x

Step-by-step explanation:

It is a linear equation with a slope of 25

Solve & check. Help with proportion homework problem

Answers

Answer:

x = 22

Step-by-step explanation:

We need to find the value of x for the given equation.

[tex]\dfrac{\dfrac{1}{5}}{\dfrac{1}{11}}=\dfrac{x}{10}\\\\\dfrac{1}{5}\times 11=\dfrac{x}{10}[/tex]

Cross multiplying both sides,

[tex]11\times 10=5x\\\\x=\dfrac{11\times 10}{5}\\\\x=11\times 2\\\\x=22[/tex]

So, the value of x is equal to 22.

Helpppppp me with number 5 pleaseeeeeeeeee

Answers

Answer:

16 laps

Since Cheyene ran 16 laps

32-16=16

Stormy ran 16 laps

#CarryOnLearning

16 laps because 32-16=16

Solve the equation. Leave your answer as an improper fraction. Check your solution: -1/2=-5/18=h

Answers

Answer:

cant answer with two equal signs

Step-by-step explanation:

but if u mean

-1/2=-5/18+h that equals h=-2/9

and if u mean

-1/2+-5/8=h it equals h= -7/9

Need help super fast pls help

Answers

Answer:

My answer is 8

Step-by-step explanation:

I calculate the area of all the shapes and added them together

the square comes first = the formlula = a  to the power of 2  or just L x W =  2 x 2 = 4

The traingles - the formula = the height x base/2 2 x 2 /2 = 2  ( but there are two traingles so) 2 x 2 = 4

add the two shapes areas together = 4+4 = 8

In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars? Express your answer rounded to the nearest cent

Answers

Answer:

9100.09

Step-by-step explanation:

i did the math so this is it

Divide 16x3 – 12x2 + 20x – 3 by 4x + 5.

Answers

Answer:

[tex]4x^2 - 8x + 15 - \frac{78}{4x+5}[/tex]

Step-by-step explanation:

To solve polynomial long division problems like these, it's helpful to build a long division table. Getting used to building these can make problems like this much simpler to solve.

Begin by looking at the first term of the cubic polynomial.

What would we have to multiply [tex]4x + 5[/tex] by to get an expression containing [tex]16x^3[/tex]? The answer is [tex]4x^2[/tex], since [tex](4x + 5) \times 4x^2 = 16x^2 + 20x[/tex].

This is the first step of our long division, and we write out the start of our long division table like this:

[tex]{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,4x^2\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,16x^3 + 20x^2\\[/tex]

On the left is the divisor. On top is [tex]4x^2[/tex]. In the middle is the polynomial we are dividing, and on the bottom is the result of multiplying our divisor by

The next step is to subtract the bottom expression from the middle one, like so:

[tex]{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,4x^2\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,0x^3 - 32x^2\\[/tex]

We are left with [tex]-32x^2[/tex]. The next thing to do is to add the next term of the polynomial we are dividing to the bottom line, like this:

[tex]{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,4x^2\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 + 20x\\[/tex]

Now we return to the beginning of the instructions, and repeat the process: namely, what would we have to multiply [tex]4x + 5[/tex] by to get an expression containing [tex]-32x^2[/tex]? The answer is [tex]-8x[/tex], and we fill out our long division table like so:

[tex]{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,4x^2 - \,\,\,\,8x\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 + 20x\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 - 40x\\[/tex]

Once again, we subtract the bottom expression from the one above it, and include the next term of the divisor, like so:

[tex]{ }\qquad{ }\qquad{ }\quad{ }4x^2 - \,\,\,\,8x \,+ 15\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 + 20x\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline{- 32x^2 - 40x}\\{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\,\,\,\,\,60x - 3\\[/tex]

And repeat. What do we multiply [tex]4x + 5[/tex] by to get an expression containing [tex]60x[/tex]? The answer is 15. Our completed long division table looks like this:[tex]{ }\qquad{ }\qquad{ }\quad{ }4x^2 - \,\,\,\,8x \,+15\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 + 20x\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline{- 32x^2 - 40x}\\{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\,\,\,\,\,60x - 3\\{ }\qquad{ }\hspace{3cm}\,\,\underline{60x + 75}\\{ }\hspace{4.3cm}\,\,-78[/tex]

Now, the expression at the top,

[tex]4x^2 - 8x + 20x + 15[/tex]

is our quotient, and the last number, [tex]-78[/tex], is our remainder.

Hence we arrive at the solution of

[tex]\frac{16x^3-12x^2+20x-3}{4x+5} =4x^2 - 8x + 15 - \frac{78}{4x+5}.[/tex]

Solving systems of equations mastery test

Answers

Answer:

Is there a question?

Step-by-step explanation:

Veronica spent 3/4 hour reading each day for 7 days. In all, how much time did she spend reading?

Answers

Answer:

21/4 or 5 and 1/4 hours

Step-by-step explanation:

3/4 times 7 or 7/1

What is the absolute value of l-14l

Answers

The absolute value of |-14| is 14

Answer:

14

Step-by-step explanation:

so it means the opposite of negative 14 which is postive 14

Solve for the variable:
6f + 21 = -15

Answers

6f+21=-15

6f+21-21=-15-21

6f=-36

6f/6=-36/6

f=-6

Answer: f=-6

Step-by-step explanation:

Which statement about the quadratic function m(x) = -x2 + 11x - 28 is true?
A. Since m(x) =-(x - 4)(x + 7), the zeros for m(x) are 4 and -7.
B. Since m(x) = -(x - 4)(x - 7), the zeros for m(x) are 4 and 7.
C. Since m(x) = -(x + 4)(x + 7), the zeros for m(x) are -4 and -7.
D.Since m(x) = -(x + 4)(x-7), the zeros for m(x) are -4 and 7.

Answers

Answer:

D.Since m(x) = -(x + 4)(x-7), the zeros for m(x) are -4 and 7.

Step-by-step explanation:

Answer:

Step-by-step explanation:

So first you want to take the constants of -x^2 (which would be -1) and -28 and multiply them to get the product of 28.

Since the other constant of 11x is 11, you want to find 2 numbers whose sum give you 11 and whose product give you 28. That would be 4 and 7, because 4 + 7 = 11 and 4 * 7 = 28. But since you have -x^2 you will want to put a negative sign in front of one of your x variables and in front of 4 or 7, so that you still get 11x when you factor it out.

So you would set up the equation like this (-x+4)(x-7) = 0. To make it easier to find the values of x, you could just write it out as -x+4 = 0 and x-7 = 0. Than you solve for x in botn euqations.

Then you would find out that x = 4, 7.

Does this help?

Find an equivalent expression 3(2d+2) + 2(2d+5)
PLSSSSS I need help

The options are
1.) 10d + 26
2.) -10d+ 26
3.) -10d-6
4.) 10d +16
5.) 10d - 4

thankyouuu

Answers

Answer:

10d+16

Step-by-step explanation:

=>3(2d+2)+2(2d+5)

=>6d+6+4d+10

=>10d+16

The diameter of the raw cookie is 2 1 2 inches. After baking the cookie, the diameter is 5 1 2 inches. By what factor does the cookie expand?

Answers

Answer:

[tex]Factor = 220 \%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 2\frac{1}{2}[/tex]

[tex]Final = 5\frac{1}{2}[/tex]

Required

Determine the factor of increment

First, we calculate the percentage increment

[tex]\% Increment = \frac{Final - Initial}{Initial} * 100\%[/tex]

Substitute values for Final and Initial

[tex]\% Increment = \frac{5\frac{1}{2} - 2\frac{1}{2}}{2\frac{1}{2}} * 100\%[/tex]

Express fractions as decimals

[tex]\% Increment = \frac{5.5 - 2.5}{2.5} * 100\%[/tex]

[tex]\% Increment = \frac{3}{2.5} * 100\%[/tex]

[tex]\% Increment = \frac{3* 100}{2.5} \%[/tex]

[tex]\% Increment = \frac{300}{2.5} \%[/tex]

[tex]\% Increment = 120 \%[/tex]

So, the factor of increment is:

[tex]Factor = 100\% + Increment[/tex]

[tex]Factor = 100\% + 120 \%[/tex]

[tex]Factor = 220 \%[/tex]

one less then four times a number is equal to 9 more then six times the number

Answers

Answer:

-5

Step-by-step explanation:

4x - 1 = 6x + 9

4x = 6x + 10

-2x = 10

x = -5

A triangle PQR has coordinates (1, 3), (5, 1) and (3, k) respectively in an
anticlockwise direction).
Find the value of k if the triangle's area is 6 units?​

Answers

Answer:

k=5

Step-by-step explanation:

steps in attachment

how many factors does (2x+5) have

Answers

Answer:
three (3) factors

Explanation:
2, x and 5 are all factors.

hope this helps! <3

What is the value of z?
117°

Answers

Hi I would love to help but the picture is black

A certain company’s charges for tiling a rectangular room include the cost of the material used and a flat rate for installation. The length of a certain room is 2 feet more than its width, and the company’s charges, in dollars, for tiling the room are 12.5x(x+2) + 400.
Match each part of this expression with what it represents in this context.
Available Responses:
the width, in feet, of the room
the length, in feet, of the room
the area, in square feet, of the room
the cost, in dollars, for tile per square foot
the amount of materials needed to cover the room's floor
the flat rate, in dollars, the company charges for installation
12.5 represents ______
x(x+2) represents _______
400 represents _______

Answers

Answer:

12.5- the cost, in dollars, for tile per square foot

x(x+2)- the area, in square feet, of the room

400- the flat rate, in dollars, the company charges for installation

The length and width of the rectangular room is L = x feet , W = ( x + 2 ) feet

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular room be A

Now , the length of the room L = x feet

And , length of a certain room is 2 feet more than its width

The width of the room W = ( x + 2 ) feet

The total charge for tiling the room C = 12.5 x ( x + 2 ) + 400

Now , the area of the rectangular room A = x ( x + 2 ) feet²

So , the width, in feet, of the room = ( x + 2 ) feet

The length, in feet, of the room = x feet

The area, in square feet, of the room = x ( x + 2 ) feet²

The cost, in dollars, for tile per square foot = $ 12.50

The amount of materials needed to cover the room's floor = 12.5 x ( x + 2 )

The flat rate, in dollars, the company charges for installation = $ 400

Hence , the expressions are solved and the area of rectangle is x ( x + 2 ) feet²

To learn more about area of rectangle click :

https://brainly.com/question/15225905

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Janice attempted to shoot 42 free throws with a basketball. She made 35 of the free throws. Based on those results what would you estimate the probability to be that she makes the next free throw?
A) .5333
B) .6333
C) .7333
D) .8333

Answers

Answer:

Probability = 0.8333...

Step-by-step explanation:

Based on the data, the probability is :

P = number of successes/number of possible outcomes

P = 35 /32 = 0.8333...

which agrees with answer D) in your list

yesterday, Lin spent 6 7/8 hours doing homework. Morrie did homework for 4/5 the amount of time that Lin did. How many hours did Morrie spend dong homework?
please tell me how you got the answer. thanks!
Answer:
A. 6
B. 6 1/2
C. 5 1/2
D. 7

Answers

Maybe d idont know check it

7. Stanley measured his backyard to be 1500 inches long. How long is his backyard in yards?

Answers

I think that it’s 1500 inches to yards so divide by 36 which gives you 41.666667.
Hope this helps :)

brainliest for answer

Answers

Answer:

b=2f+6

b=2*9+6

b=18+6

b=24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

2 x 9 + 6 = 24

what is the slope of (4,8) and (10,7)

Answers

Answer:

The answer is -1 / 6

Step-by-step explanation:

use the formula y2 - y1 / x2 - x1 = m

7 - 8 / 10 - 4 = -1 / 6

The slope of (4,8) and. (10,7)

A:-1/6

VIJWPLAYER
Which ordered air is a solution for the equation y = 4.5x?

A. (0, 4.5)
B. (4.5, 1)
C. (2.9)
D. (18,4)

Answers

B because it I just know it’s right

what is the volume of a sphere with a radius of "60.5" Ft, Rounded to the nearest tenth of a cubic foot?​

Answers

Answer:

[tex]volume = 927,587.2ft^3[/tex]

Step-by-step explanation:

The equation to find the volume of a sphere is as follows:

[tex]volume = \frac{4}{3}\pi r^3[/tex]

We have a radius of 60.5ft, let's plug this into the equation and solve:

[tex]volume = \frac{4}{3} \pi (60.5)^3 \\volume = 927,587.17\\volume = 927,587.2[/tex]

Therefore, the volume of a sphere with a radius of 60.5ft is 927,587.2ft^3.

Hope this helps!!

- Kay :)

Volume of the sphere is 927587.2 cubic feet (nearest tenth).

What is Volume of the sphere?

"A sphere is a set of points in space that are a given distance r from the center. The volume of a 3 -dimensional solid is the amount of space it occupies."

Formula to find the volume of a sphere

Volume of the sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]

V = [tex]\frac{4}{3} \pi (60.5)^{3}[/tex]

V = 927,587.167

Using calculator, we get

V ≅ 927587.2 cubic feet

Hence, Volume of the sphere is 927587.2 cubic feet (nearest tenth).

Learn more about volume of a sphere here

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hi
i need help!
please and thank you!

Answers

Answer: y=0.25

Step-by-step explanation: 1.2 / 4.8 = 0.25

Find this in the graph g(-4) =

Answers

Answer:

g(-4) = 1

General Formulas and Concepts:

Algebra I

Reading a Cartesian planeCoordinates (x, y)Function Notation

Step-by-step explanation:

What g(-4) is saying is what the output of the function g(x) when x= -4. According to the graph, when x = -4, y = 1.

∴ g(-4) = 1

What is the answer? I really need it.

Answers

Answer:

B

Step-by-step explanation:

Wilma can walk 4 miles in 30 minutes. How many miles can she walk in 3 hours?

Answers

she can walk 24 miles in 3 hours

Answer:

24 miles

Step-by-step explanation:

3 hours = 180 minutes

[tex]\frac{4}{y}: \frac{30}{180}[/tex]

y × 30 = 4 × 180

30y = 720

30y ÷ 30 = 720 ÷ 30

y = 24

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