1. Change each of the following equations to the form
y = mx + c. Then, state the values of m and c.
(a) -6x- y = 3
(b) 3x - 4y = 12
(c)-2x + 5y = 10
(d) x + 2y = 4
(e) 8x- 4y = 3
(1) 4x + 5y = -6​

Answers

Answer 1

Answer:

(a) -6x- y = 3

        [tex]6x + y = -3\\ y = -6x -3[/tex]

(b) 3x-4y =12

       [tex]3x - 4y = 12\\-4y = -3x +12\\4y = 3x -12\\\\y = \frac{3}{4}x -3[/tex]

(c)-2x + 5y = 10

       [tex]-2x + 5y = 10\\5y = 2x + 10\\y = \frac{2}{5}x + 2[/tex]

(d) x + 2y = 4

        [tex]x+2y=4\\2y = -x + 4\\y = \frac{-1}{2} x +2[/tex]

(e) 8x- 4y = 3

        [tex]8x - 4y =3\\-4y = -8x + 3\\4y = 8x -3\\y = 2x -\frac{3}{4}[/tex]

(f) 4x + 5y = -6

         [tex]4x + 5y = -6\\5y = -4x - 6\\y = \frac{-4}{5} x -\frac{6}{5}[/tex]


Related Questions

Determine the slope

Answers

Answer:

1/3

Step-by-step explanation:

We use the formula y2-y1/x2-x1. The two points that I would use are (3,-1) and (-3,-3). This means that the equation will be -3--1/-3-3. This is equal to -2/-6. This is also equal to 1/3. Therefore, the slope is 1/3.

If this helps please mark as brainleist

What are the coordinates of A' B' and C' after the dilation?

Answers

Answer:

this is the answer to the question, its 5.6 for sure

Answer:

Hello!

A' is (-4, 0)

B' is (-1, 4)

C' is (-1, -3)

Step-by-step explanation:

Here are the points and a graph showing the dilation in purple

Someone please help 20 points!
please help me PLEASE

Answers

Answer:

The answers are A, B and C.

Step-by-step explanation:

To solve the inequality you first have to use Distributive Property. You should get -3k + (-21) > -57

Next Divide 21 on both sides. -57/21 is -36

You should have -3k > -57

Divide -3 on both sides. -57/-3 is 12

You should end up with k > 12

And you never used -5, 0 or 8 in the equation and the question asks to choose the following that isn't included in the solution so your answers are A, B and C.

Hope This Helps! ^^

A cake has circumference of 2517 25 1 7 inches. What is the area of the cake? Use 227 22 7 for π π . Round to the nearest hundredth. AWNSER

Answers

Answer:

22in²

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Circumference = 25 (1/7)

As we know,

Circumference of a circle = 2πr

By solving this we get

Radius (r) = 4in

Now. we can calculate the area by using following formula,

Area  = πr²

By putting the value, we get

Area = (22/7) × 4²

=  22/7 × 16

= 352÷16

Area = 22in²

What is the surface area of this composite solid?

Use 11.3 meters for the slant height of the triangular prism.

Enter your answer in the box.


__m²
Composite made up of a rectangular prism surmounted by a triangular prism. The rectangular prism has dimensions of 16 meters wide by 20 meters long by 12 meters high. The triangular prism has dimensions of 16 meters wide by 20 meters long with a triangular altitude of 8 meters high.

Answers

SEE THE IMAGE BELOW (I REALLY HOPE THIS IS CORRECT!!!)

Answer:

1764 m²

Step-by-step explanation:

Refer to attached picture.

All given dimensions are given on the picture (not to scale).

Since altitude of the triangle and slant height is given, we can find the base of the triangle using Pythagorean:

[tex]b/2 = \sqrt{11.3^2-8^2} = \sqrt{64} = 8m, \\b = 16 m[/tex]

It has 9 faces and the total surface area is:

S = 16*20 + 2(20*12) + 2(20*11.3) + 2(16*12) + 2(1/2*8*16)  = 1764 m²

HELP HELP FIRST PERSON TO ANSWER GETS BRAINLIEST

Answers

Answer: you have to divide each side by 8, not 4. If you divide by 4, you get 2x = 1

The correct answer would be 1/2

Hope this helped ! I tried to take the best picture I could sorry if it’s blurry

Someone please please help me with those 2

Answers

Answer:

29, 7

Step-by-step explanation:

Range is largest num - smallest num

33-26 = 7

Mode is most common number:

29

The answer for this question is 29

Sally can paint a room in 9 hours while it takes Steve 5 hours to paint the same room. How long would it take them to paint the room if they worked​ together?

Answers

Answer: About 3 hours and 5 minutes to paint the room together.

Step-by-step explanation:

Sally can paint 1/5 of the room in an hour and Steve can paint 1/8 of the room in an hour.

Room/Hour

1/5 ± 1/8 =8/40  

8/40+5/40=13/40

How long to paint the room?

13/40 x 1= 40/13

40÷13=3.0777

So the answer will be Sally and Steve can paint the room in about 3 hours and 5 minutes

find dy/dx using first principle
x+1/x​

Answers

Answer:

The derivative of the function is:

[tex]f'(x)=1-\frac{1}{x^{2}}[/tex]

Step-by-step explanation:

The first principle is given by:

[tex]f'(x)=\frac{dy}{dx}=lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}[/tex]

The function here is:

[tex]f(x)=x+\frac{1}{x}[/tex]

Now, using the first principle we have:

[tex]f'(x)=lim_{h\rightarrow 0}\frac{(x+h)+\frac{1}{(x+h)}-x-\frac{1}{x}}{h}[/tex]  

[tex]=lim_{h\rightarrow 0}\frac{h+\frac{1}{(x+h)}-\frac{1}{x}}{h}[/tex]    

[tex]=lim_{h\rightarrow 0}\frac{h-\frac{h}{x(x+h)}}{h}[/tex]    

[tex]=lim_{h\rightarrow 0}\frac{h(1-\frac{1}{x(x+h)})}{h}[/tex]

[tex]=lim_{h\rightarrow 0}1-\frac{1}{x(x+h)}[/tex]

[tex]=1-\frac{1}{x^{2}}[/tex]

 

Therefore, the derivative of the function is:

[tex]f'(x)=1-\frac{1}{x^{2}}[/tex]

I hope it helps you!  

 

PLEASE HELP QUICK

Which of the following equations has a slope of 4 and passes through point (2, 5)?
y = 4x + 2
y = 4x + 5
y = 4x – 3
y = 4x – 8

Answers

Answer:

y = 4x – 3

Step-by-step explanation:

Please help me its an easy question and please show steps (will give brainiest)

Which function is best represented by this graph?

A. y = 1/2x + 6
B. y = −2x + 3
C. y = 2x + 6
D. y = −1/2x + 3

Answers

Answer:

d

Step-by-step explanation:

not a bc it has to be negative

not c bc its has to be negative

not b bc the slope is -1/2

IT'S D

Answer:

D

Step-by-step explanation:

from the picture, we know that the slope is negative to begin, since the line is going on a downward direction from left to right. this eliminated A and C instantly.

Now we also can see the graph crossed at 3 for the y intercept, which is another reason to eliminate A and C.

we must then find the show of the line.

let us use to point (0,3) since this is the y intercept and (6,0) since this is the x intercept. to find the slope, m, at must use the equation

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

so, let's label (0,3) as point 1 and (6,0) as point two. then,

x1 = 0

y1= 3

and

x2= 6

y2=0

Now we just plug in and simplify.

[tex] m = \frac{0 - 3}{6 - 0} = \frac{ - 3}{6} = - \frac{1}{2} [/tex]

we now have our slope and y intercept, so we can plug them into our equation

[tex]y = mx + b[/tex]

where m is the slope and b is the y intercept.

our equation is thus

[tex]y = - \frac{1}{2} x + 3[/tex]

so, the answer is D

the population of red tailed squirrels in Oklahoma is currently estimated to be 2.5 million and is expected to grow at an annual rate of 2.3. find the estimated population in 9 years

Answers

Answer:

2.5 million + 2.3 =250002.3

What is the sum of the measures of the interior angles of a 10-sided figure?
o 1,440°
o 180°
o 360°
o 1,800°

Answers

Answer:

I think o 1440°.........

Answer: 1440 took the test

Help
Question 11 of 40
Suppose a normal distribution has a mean of 50 and a standard deviation of
3. What is P(x<_47)?
A. 0.84
B. 0.975
C. 0.025
D. 0.16
SUBMIT

Answers

Answer:D

Step-by-step explanation: got it right

Isaac finished eight of the ten homework problems. Phil has finished of the homework. How many more problems did Isaac finish?​

Answers

Answer:

-2

Step-by-step explanation:

If Issac has finished 8/10 problems in the homework, and Phil has completed all of it, it can be concluded that Phil completed 10/10. 10/10 would equal a whole, or in this case, the entire homework. If Issac completed 8 problems, and Phil completed 10, subtract both values to find that Issac completed -2 more problems than Phil.

*correct me if I'm wrong, or If I didn't fully understand your question, because I am a little confused with how much homework Phil has finished.

In the following equation, what number retresents the y-intercept",

y = - 3x + 8

Answers

the answer is 8 !!!!

PLEASE HELP!! WILL GIVE BRAINLIEST FOR FIRST TO SHOW STEPS!

Julie started with 20 pieces of gum and gave away x pieces. Conrad started with 35 pieces of gum and gave away twice as many pieces as Julie did.

How many pieces of gum did Julie give away if they had the same number of pieces of gum left?

A. 18
B. 5
C. 15
D. 8

Answers

Answer:

c. 15

Step-by-step explanation:

20 - 15 + 5

35 - 15(2)

35 - 30 = 5

Answer is C, set them equal to each other.

PLEAAAAAAASEE HEEEEELP

Answers

Answer:

x=6

Step-by-step explanation:

x+54+5x=90

6x+54=90

6x=36

x=6

Answer:

x=6

Step-by-step explanation:

So, lets go over what we know.

Angle 5x and angle x+54 make up 90 degrees.

We know its 90 degrees since there is a square like symbol on the side of the line.

To sovle for x, we must add the two angles together. This will make them equivelent to 90 degrees.

So:

5x+x+54=90

=

6x+54

Now that we combined our two angles, we can solve it like a normal equation:

6x+54=90

subtract 54 from both sides to get 6x alone:

6x=36

Now divide both sides by 6 so x is alone:

x=6

So now we know that x=6.

If you wan to check your answer, just look at the orginal graph, plug in 8 for x, and see if the two angles add up to 90:

Angle 5x:

5*6

=

30

Angle x+54

6+54

=

60

Add the two angles together:

30+60

=

90

So we have checked and the answer is still correct!

Hope this helps! :D

A rectangle has a width, w, equal to 6 less than the length, l. Which expressions represent ways to find the perimeter of the rectangle?

Select ALL that apply.



4 L plus 12
4L−12
2(L−6)+2l
2(6−L)+2l
12+2L+2L

Answers

Answer:

4L-12

Step-by-step explanation:

let's assume the length = L

then the width of the rectangle is L - 6

perimeter = 2× (a+b)

where "a" and "b" are the length and the width of the rectangle.

so perimeter = 2× (L + L - 6)

2 × ( 2L - 6)

4L - 12

HELPPPPP FAST!!!
Find the volume, round your answer to the nearest tenth.
9 yd
7 yd

Answers

The answer is 115.5. Let me know if you need me to explain

Answer:16

Step-by-step explanation:

West ridge highschool is holding an honor roll banquet. It costs $95 to rent the cafeteria plus $13 for each person attending the banquet. If C

Answers

Answer: C(x) = 13x +95​

Step-by-step explanation:

Here's the remainder of the question:

If C(x) represents the total cost and x represents the number of people attending the banquet, which equation shows the total cost? A C(x)=95x – 13 B C(x)=13x – 95 C C(x)=95x +13 D C(x)=13x +95​

Based on the information given in the question, the total cost will be:

= 95 + 13(x)

= 95 + 13x

Therefore, the correct answer will be C(x)=13x +95​

True or False: 56 students go to see a play in a theater. The theater has 7 seats in each row. 7 rows of seats are needed to fit all of the students. Group of answer choices True False

Answers

Answer:

False

8 rows of seats are needed to fit all students

Step-by-step explanation:

Total students at the theater = 56

Number of seats per row = 7

Number of rows = 7

Total seats in the theater = Number of seats per row * Number of rows

= 7 * 7

= 49 seats

Rows of seats needed to fit all of the students is not 7 because the students are more than the number of seats in the theater.

Therefore,

8 rows of seats are needed to fit all students

Total seats in the theater = Number of seats per row * Number of rows

= 7 * 8

= 56 seats

.Write Hindu- Arabic number in roman number
126= .....​

Answers

Answer:

CXXVI is in roman number

What is the value of X?

Answers

Answer:

30

Step-by-step explanation:

a^-6 = I have no idea please help

Answers

Answer: [tex]\frac{1}{a^6}[/tex]

Step-by-step explanation:

When you want to solve something that has a negative exponent, turn it into a fraction.

a^-6

= [tex]\frac{1}{a^6}[/tex]

If you knew the value of a, you would solve it completely.

Greg uses a triangular area of his back yard as a garden.If the area if his garden 1.248 square feet,whats the area of the garden?

Answers

Answer:

192 ft²

Step-by-step explanation:

Area of rectangular backyard = 1248 ft²

Width of backyard = 52 ft

Length = x

Area of rectangular backyard = Length * width

1248 = x * 52

x = 1248 / 52

x = 24 feets

Hence, x = height of triangular garden

Area of triangle = 1/2 base * height

Area = 1/2 * 16 * 24

Area = 192 ft²

You roll a six-sided number cube and flip a coin what is the probability of rolling a number greater than 3 and flipping heads? Write your answer as a fraction in simplest form.​

Answers

Answer:

1/4

Step-by-step explanation:

Possible outcomes from rolling the cube that satisfy the "greater than 3" criterion are {4, 5, 6}  out of a total of six possibilities {1, 2, 3, 4, 5, 6}.  Thus, the probability of rolling a number greater than 3 is 3/6, or 1/2.

Probability of flipping heads is 1/2.

These are entirely independent events.  Thus, the joint probability is (1/2)(1/2), or 1/4.

Please help! I will give brainliest!

Answers

Answer:

the answer is: B thank me later!

Answer:

a.option is the correct answer right

HELP!!!!! PLEASE AND THANK YOU

Answers

by solving with oenqdas 3 is ur answrr

Answer:

The 3rd one is correct

(7.5 + 3) x 6 - 4)

20a³-20a²+5a=?
-9x²+6x-1=?
-12a²+24ma-12m²=? 6a²-24a⁴+24a⁶=?
7x²+7y⁴-14y²=?​

Answers

Answer:

5a^6,-3x^3-1

Step-by-step explanation:

we subtract the base and add the exponent

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