Put the following equation of a line into slope-intercept form, simplifying all
fractions.
x + 2y = -16

Answers

Answer 1

Answer:

y = -1/2x - 8

Step-by-step explanation:

You are looking for the equation in the form of y=mx + b, so you need y on the left hand side without x. Subtract x from both sides.

2y = -x - 16

Now you want 1y instead of 2y. So divide everything by 2.

y = -1/2x - 8


Related Questions

after sales tax a 33 dollar photo album cost 35.97 dollars. What is the sales tax percentage

Answers

Answer:

9%

Step-by-step explanation:

Set up a ratio:

[tex]\frac{33}{100}[/tex] = [tex]\frac{35.97}{x}[/tex]

Cross multiply: 33x = 35.97 * 100

33x = 3597

Divide by 33: x = 109

That means the tax is 9%.

Pick the corrrect one form the dropdown

Answers

Answer:

easy

Step-by-step explanation:

Its very easy for any human to be able to see and compare data as when they are right next to eachother, so you can easily prove a good strong point

Luke is going to reflect point R(6, 10) over the y-axis what are the coordinates for R

Answers

Answer:

R - (-6,10)

Flip the x-value when reflecting over y axis, and flip y-value when reflecting over x-axis

what is 2 2/3 - (-3 2/6)

Answers

Answer:

6

Step-by-step explanation:

Is 1 a real or an imaginary number?

Answers

Real number, 1 is a real number
1 is a real number for me and my sister

Please someone help solve:
2/2t√3≡4-2√3

Answers

Answer:

i'm assuming you want to solve for t?

t=(2√3+3)/6

A group of students are working on a project. They complete 30%percent of the project in 12 hours. If they continue to work at the same speed, how many hours will it take the group to finish the project

Answers

Answer: 40 HOURS

Step-by-step explanation:

If the students complete 30% of the project in 12 hours,

that means:

12 h................................30%

? h...................................100%

(12*100)/30= 40H

THE STUDENTS NEED 40H TO COMPLETE THE PROJECT

It will take 40 hours for the group to finish the project.

How many hours will it take the group to finish the project?

If the students complete 30% of the project in 12 hours,

that means:

⇒ 12 h = 30%

⇒ ? h = 100%

By using percentage theory:

Percentage formula = (Value/Total value) × 100.

⇒ (12*100)/30= 40H

The answer is 40 hours.

What are a percentage and its formula?

To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100. Percentage formula = (Value/Total value) × 100.

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Anyone please solve and explain part b

Answers

Answer:

f(2) = -6

f inverse of 1/2 is 17/2

Step-by-step explanation:

We are given a function [tex]\displaystyle \large{f(x) = \frac{6}{2x-5}}[/tex]

To solve for part (a), we have to substitute x = 2 in f(x).

[tex]\displaystyle \large{f(2)=\frac{6}{2(2)-5} \\\displaystyle \large{f(2)=\frac{6}{4-5}=\frac{6}{-1}=-6[/tex]

Therefore, f(2) is -6.

Now we solve for part (b), we see the notation which is a minor different similar to f(x). We see that there is exponent of -1 between f and 1/2. The part (b) indicates that the function is an inverse of f(x).

[tex]\displaystyle \large{y=f^{-1}(x) \longrightarrow x=f(y)}[/tex]

To solve for part (b), first we solve for x in the function. Let f(x) = y.

[tex]\displaystyle \large{y=\frac{6}{2x-5}}[/tex]

Multiply both sides by 2x-5.

[tex]\displaystyle \large{y(2x-5)=\frac{6}{2x-5}(2x-5)}\\\displaystyle \large{y(2x-5)=6}[/tex]

Divide both sides by y-term.

[tex]\displaystyle \large{\frac{y(2x-5)}{y}=\frac{6}{y}}\\\displaystyle \large{2x-5=\frac{6}{y}}\\\displaystyle \large{2x=\frac{6}{y}+5}\\\displaystyle \large{x=\frac{6}{2y}+\frac{5}{2}}\\\displaystyle \large{x=\frac{3}{y}+\frac{5}{2}}[/tex]

Then swap x and y which we receive [tex]\displaystyle \large{y=\frac{3}{x}+\frac{5}{2}}[/tex]

Therefore, [tex]\displaystyle \large{f(x)=\frac{6}{2x-5} \longrightarrow f^{-1}(x)=\frac{3}{x}+\frac{5}{2}}[/tex]

Thus, [tex]\displaystyle \large{f^{-1}(\frac{1}{2})=\frac{3}{\frac{1}{2}}+\frac{5}{2}}\\\displaystyle \large{f^{-1}(\frac{1}{2})=6+\frac{5}{2}}\\\displaystyle \large{f^{-1}(\frac{1}{2})=\frac{17}{2}}[/tex]

____________________

Let me know if you have any questions in comment.


The sum of the digits of a two-digit number is 12. If the number is multiplied by 3, the result is 144. Write
and solve a system of equations. Find the number.

Answers

Answer 48

Step-by-step explanation:

The two-digit number that satisfies the given condition will be 48.

What are digits?

In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.

For example 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits.

Suppose the two-digit number is xy.

Sum x + y = 12

By multiplying by 3,

3(10x + y) = 144

10x + y = 48

Put y = 12 - x

10x + 12 - x = 48

9x = 36

x = 4

And, y = 12 - 4 = 8 so the number will be 48.

Hence "The two-digit number that satisfies the given condition will be 48".

To learn more about digits,

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Is this relation a function? {(3, 2), (5, 9), (11, 25)}

Answers

Answer:

Yes

Step-by-step explanation:

None of the X values are the same number.

I'm really bad at mathematics. It would be nice if anyone could help me out :) thanks​

Answers

no thank you IoI, good luck tho <3

can someone help me for this?​

Answers

Answer:

500000N=2m

x. =6m

cross multiply, it'll be

6×50000÷2

=150,000N

25 points! :)

Pretty simple question, just not sure how to do it.

Answers

ANSWER

-3 -2, 0, .5, 1, 100 for domain

0, 1.8, 10, 19, 77, 100 For Range

Step-by-step explanation:

Domain is all the x values from least to greatest, and range is all the y vlues from least to greatet

What are the coordinates of the image Triangle ABC reflection over the line y=x ( please help!!)

Answers

Answer:

A (2,-1)

B (-3,-2)

C (-2,1)

Step-by-step explanation:

A (-2,-1), B (3, - 2), and C (2,1)

Image of triangle ABC reflexión over the y: opposite of the x-coordinates. The y coordinates stay the same.

A’ (2,-1), B’ (-3, -2), and C’ (-2,1)

Question 1
On page 179 of your textbook, what percent of group A are Blue squares? What percent of group B are Blue squares? What percent of group C are Blue squares?

The Percent of Blue sqaures out of the total for Group A is _ %.

The Percent of Blue sqaures out of the total for Group B is _ %.

The Percent of Blue sqaures out of the total for Group C is _ %.

Answers

Answer:

The Percent of Blue sqaures out of the total for Group A is 75%.

The Percent of Blue sqaures out of the total for Group B is 60%.

The Percent of Blue sqaures out of the total for Group C is 66.66666%.

the total of of blue is group A

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

The answer is 38% .I hope this helps

Answer two questions about Equations AAA and BBB:
\begin{aligned} A.&&3x-1&=7 \\\\ B.&&3x&=8 \end{aligned}
A.
B.




3x−1
3x


=7
=8

Answers

Answer:

I don,t knowe wallh

Step-by-step explanation:

Pleaseeee help meee with this!!!!!!!!!!!!

Answers

Answer:

x=19

Step-by-step explanation:

The 2 angles are same side interior angles, so together they add to 180 degrees. So you can make this equation:

6x + 4 + 4x - 14 = 180

10x - 10 = 180 (Combine like terms)

10x = 190 (add 10 to each side)

x = 19 (divide both sides by 10)

These two angles add up to 180°

So just add them together and make them equal to 180°

6x + 4 + 4x - 14 = 180

Add like terms

10x - 10 = 180

10x = 190

x = 19

How long does it take him to make $375.25

Answers

where’s the root to the question

HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!

Answers

[tex]\left(-\dfrac 16 \right)^2 +\dfrac 58 \left(-\dfrac 19} \right)\\\\\\=\dfrac 1{36} -\dfrac{5}{72}\\\\\\=\dfrac 2{72} - \dfrac{5}{72}\\\\\\=-\dfrac 3{72}\\\\\\=-\dfrac 1{24}[/tex]

Answer:

Step-by-step explanation:

(-1/6)^2 + 5/8(-1/9)= -0.0416

Thus the answer is -1/24

What is the equation of a line with a slope of 4 that passes
through point (-2,5)? A y = -1/4x - 3 B y = -4x + 5 C y = 4x + 5 D y = 4x + 13

Answers

Answer:

Solution given:

slope(m)=4

passes through (x',y')=(-2,5)

we have

equation of a line is:

y-y'=m(x-x')

substituting value we get

y-5=4(x-(-2))

y-5=4(x+2)

y-5=4x+8

y=4x+8+5

y=4x+13 is a required equation of a line.

Which of the following gives and example of an equation that is non-linear?
A y=2x+1
B y=15/x
C y=10x
D y=x/5

Answers

The answer is A. y=2x+1

A is the only equation in which the numbers are not naturally written,but there is another numbering being either taken or added to the situation (+1). B and D both are divided which is linear, and C is multiplying which is also linear. This only leaves us with A.

Hope this helps. & don't forget to drink water <3

In Damien's classroom, the ratio
of boys to girls is 4:5. If there
are 12 boys, how many students
are there in all in Damien's
classroom

Answers

Answer:

The answer would be 27 students

Step-by-step explanation:

4=boys

5=girls

4 x 3 = 12

5 x 13 = 15

12+ 15 = 27

What is the simplest form of ^4sqrt324x^6y^8

Answers

[tex]\rm{\green{Answer \: is:-}}[/tex]

[tex]3xy \sqrt[24]{ {4x}^{2} } [/tex](3xy^2 4 sqrt 4x^2)

Step-by-step explanation:

Hope it's helpful to you

Let's see

[tex]\\ \rm\Rrightarrow \sqrt[4]{324x^6y^8}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{4}{18^2x^6y^8}[/tex]

m√a^n=a^n/m

[tex]\\ \rm\Rrightarrow 18^{2/4}x^{6/4}y^{8/4}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{18}x^{3/2}y^2[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{18}\sqrt[2]{x^3}y^2[/tex]

Can someone please help me with this one? Tysm!!

Answers

Answer:

-26

Step-by-step explanation:

well add the negative numbers first so you get

-17-18=(-35)

then you add 9 so its (-35)+9=26

Answer:

Step-by-step explanation:

-17 + 9 +(-18) = -8 -18 = -26 final answer

Please helppp!!
I have to find the slope of the blue line that is in the graph!!

Answers

slope = 4/5 because the formula for slope is rise/run. count the x and y units point one and point two are away from each other.

i just need to know if this is correct and if i need to fix anything

Answers

Answer:

its correct

Step-by-step explanation:

On a line, if XY=6, YZ=8 and XZ=2, which point is between the other two?

A. X
B. Y
C. Z
D. Cannot tell​

Answers

I’m pretty sure it’s X

Concrete tiles are made using buckets of cement, sand and gravel mixed in the ratio 1:4:6. If 20 buckets of sand are used, how many buckets of EACH of the following will be
needed?
a)
Cement:
T
b) Gravel:

Answers

20 buckets and cement

‼️‼️‼️PLS HELP I WILL MARK U BRAINLIEST‼️‼️‼️

Which translation can be used to prove that figures two and three are congruent?

A) (x, y) —> (x, y - 4)

B) (x, y) —> (x - 3, y + 1)

C) (x, y) —> (x + 2, y)

D) (x, y) —> (x + 1, y - 3)

Answers

Answer: a I think

Step-by-step explanation:

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