What is the coordinate of the solution for the following equations? y = 4x – 9 y = -3x + 12

[tex]8y^3-6y\\2y(4y^2-3)[/tex]

Factor 2 out because both 8 and 6 can be divided by 2.

Factor y out because there are same y's in a polynomial.

Answer:

 2y (4y^2-3)

Step-by-step explanation:

8y^3 - 6y

Over here, we need to first look for the value they have in common

and u can identify that its "y". Now look for a no. that u can multiply both the no.s inside with. In this case, it two...but usually u need to pick the biggest value u can multiply both the no.s with.

So, now we need to put the common value outside the bracket-

2y (......)

2y * 4y^2 can give u 8y^3, therefore this will be the first value inside the bracket, the next value will be 2y*-3 coz it will give u -6y [Be careful of the signs].

So the ans would end up being-

2y (4y^2-3)

{u can comment if u have doubts :))}

Answer:4%

Step-by-step explanation:

From the question, we are informed that a jigsaw puzzle is priced 17.00 but cost 17.68 at the register. This means that the sales tax is (17.68 - 17.00) = 0.68.

Therefore, the sales tax rate will be calculated as:

= (0.68 / 17.00) × 100

= 4%

The sales tax rate is 4%

Answer:

A

Step-by-step explanation:

Answer:

[tex]a) x=15\\b) AD\ is\ not\ parallel\ tp BC[/tex]

Step-by-step explanation:

[tex]As\ we\ know\ that,\\Angle\ D=3x\\Angle\ A=2x\\Angle\ B=90\\Angle\ C=x\\The\ Angle\ Sum\ Property\ Of\ A\ Quadrilateral\ states\ that\ the\ sum\ of\ all\\ the\ interior\ angles\ of\ a\ quadrilateral\ is\ 180.\\Hence,\\ \angle D+ \angle A + \angle B + \angle C=360\\3x+2x+90+x=180\\3x+2x+x=180-90\\6x=90\\x=15\\Hence, x=15[/tex]

[tex]Hence,\\As\ Angle\ A\ and\ Angle\ B\ are\ co-interior\ angles, if\ they\ are\\ supplementary\ then\ AD \parallel BC.\ Lets\ check\ that\ out.\\Hence,\\Angle\ A=2x=2*15=30\\Angle\ B=90\ [Given]\\Hence,\\As\ 90+30\neq 180,\\Angle\ A +Angle\ B\neq 180\\Hence,\\As\ Angle\ A and\ Angle\ B\ are\ not\ supplementary, AD\ will\ not\ be\ parallel\ to\ CB.[/tex]

Answer:

350 girls

Step-by-step explanation:

So,

The secret to solving problems with ratios is to find the value of one unit.

5:7 = 12 units total

To find one unit, divide the total number of students by the total number of units.

600/12 = a

Simplify

50/1 = a

50 = a

The value of each unit is 50.

Now, multiply the units by the numbers in the ratio.

50(5) = b

250 = boys

50(7) = x

350 = x

There are 350 girls.

Step-by-step explanation:

ab+a+b+b+ab

=2ab+a+2b

=a+2b+2ab

We can only add the same term numbers together.

hope it helps!

Answer:

bac

Step-by-step explanation:

Use the point-slope formula and then solve for y.

y - y_1 = m(x - x_1)

y_1 = 4

x_1 = 3

m = 3

y - 4 = 3(x - 3)

y - 4 = 3x - 9

y = 3x - 9 + 4

y = 3x - 5

Done.

Answer:

(3, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = -x + 1

y = 4x - 14

Step 2: Rewrite Systems

y = 4x - 14

Step 3: Redefine Systems

y = -x + 1

-y = -4x + 14

Step 4: Solve for x

Elimination

Step 5: Check

Answer:

The stenographer will type 80 words.

Answer:

The length of the rectangle is 15 inches and the width is 33 inches

Step-by-step explanation:

The dimensions for the rectangle are as follows:

L=L and W=2L+3

The equation for perimeter of a rectangle is:

P=2l+2w

To Solve:

1. Plug values into perimeter equation

96=2(L)+2(2L+3)

2. Simplify the equation above.

96=2L+4L+6

3. Combine like terms:

96=6L+6

4. Solve for L by subtracting 6 from both sides:

90=6L

5. Solve for L by dividing both sides by 6:

15=L.

6. Plug 15 into the equation for the width:

2(15)+3=w

30+3=w.

Answer: d = 17

Step-by-step explanation:

d - 11 = 6

So, by adding 11 to each side you'd get rid of the -11 on the left and isolate the variable

d = 17

Answer:

6+5

Step-by-step explanation:

Answer:

6+5

Step-by-step explanation:

If you ever have two negative signs together, like here, you get a positive sign. Here we have 6-(-5), the minus sign and the -5 are next to each other, creating a positive sign or turning the -5 into positive 5. This chart might help:

Feel free to ask any questions

Answer: I attached a graph below, hope it helps.

Step-by-step explanation:

A line can be written in the form y = mx + b where m is the slope and b is the y intercept.

Since the slope is given as 4, the equation will be y = 4x + b

Plugging in the point (2,1) to the equation we get 1 = 4(2) + b or 1 = b + 8

Solving for b gives b = -7 so the equation will be y = 4x - 7

Answer:

C

Step-by-step explanation:

Answer:

yo no se puerdon

Step-by-step explanation:

Answer:

y=4x+24

Step-by-step explanation:

1: find slope

[tex]\frac{0+24}{-6-0}[/tex]

[tex]\frac{24}{-6}[/tex]

4

2:plug into point-slope form

y-0=4(x+6)

y=4x+24

Answer:

y = -4x - 24

Step-by-step explanation:

slope = -4

Answer:

23

Step-by-step explanation:

i honestly have no idea

This question is incomplete

Complete Question

For there are 48 apples and 60 bananas and 96 oranges each basket must contain the same number of each type of fruit. Find the greatest number of baskets you can have

Answer:

The greatest number of baskets you can have is 12 baskets.

And each baskets would contain:

4 apples, 5 bananas and 8 oranges

Step-by-step explanation:

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Then the greatest common factor is 12.

Therefore, the greatest number of baskets you can have is 12 baskets.

Each baskets would have

For apples

48 apples

48 apples / 12 baskets = 4 apples per basket

For bananas

60 bananas

60 bananas/12 baskets = 5 bananas per basket

For Oranges

96 Oranges/ 12 baskets = 8 oranges per baskets

Answer:

The correct answer is 3.12.

Step-by-step explanation:

93.6 ÷ 30 = 3.12

Therefore, the answer is 3.12.

Hope this helps! :D

Answer:1-2-3-4-5-6-7-8-9-10

Step-by-step explanation:

Achievement Unlocked:Cheat The System

Answer:

168.75

Step-by-step explanation:

75% × 225= 75/100 × 225

= 168.75

I'm sorry, I actually got 168.75 instead of 162.75. Maybe I'm mistaken. Please do check

Answer:

y = 12x + -10

Step-by-step explanation:

sorry if its wrong i tried

Answer:

2 min.

Step-by-step explanation:

1h is 60 min so divide 60 by 30 and you get 2

Answer:

It took Anne 1/30 of an hour to bike 1 mile.

Step-by-step explanation:

Unit Rate - 30 miles/ 1 hour

[tex]\frac{30 miles}{1 hour} = \frac{1 mile}{? hour}[/tex]

Based on the visual above, we need to find the proportion.

30 miles divided 30 equals to 1 mile.

What is 1 hour divided by 30? Remember: whatever is done to the numerator must be done to the denominator!

1 divided by 30 equals 1/30. Since the unit is hour, the answer is 1/30 of an hour.

Answer:

Infinite solution

Step-by-step explanation:

if you use distribute property on  3(x-5), it will equal to 3x-15.

Step-by-step explanation:

I think it might be 4 but i'm not sure

Answer:

m = 4/5

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define Equation

y = 4/5x - 3

Step 2: Break Function

Identify Parts

Slope m = 4/5

y-intercept b = -3

Answer:

i think 5 is constant if