What is an equation of the line that passes through the points
(0,8) and
(−8,−4)? Put your answer in fully reduced form.

Given:

Three equations are

[tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex]

[tex]4(0.5x-2)+3x=-14-(x+6)[/tex]

[tex]8(0.5x-3)+4x=-9-(x+6)[/tex]

Three solutions are [tex]x=-2,x=-1,x=1[/tex].

To find:

The solution of each equation from the given solutions.

Solution:

We have,

[tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex]

Using distributive property, we get

[tex]3x-9+2x=-9-x-6[/tex]

[tex]5x-9=-15-x[/tex]

Isolate variable terms.

[tex]5x+x=-15+9[/tex]

[tex]6x=-6[/tex]

Divide both sides by 6.

[tex]x=-1[/tex]

Similarly,

[tex]4(0.5x-2)+3x=-14-(x+6)[/tex]

[tex]2x-8+3x=-14-x-6[/tex]

[tex]5x-8=-20-x[/tex]

[tex]5x+x=-20+8[/tex]

[tex]6x=-12[/tex]

[tex]x=-2[/tex]

Now,

[tex]8(0.5x-3)+4x=-9-(x+6)[/tex]

[tex]4x-24+4x=-9-x-6[/tex]

[tex]8x-24=-15-x[/tex]

[tex]8x+x=-15+24[/tex]

[tex]9x=9[/tex]

[tex]x=1[/tex]

Therefore, the solutions of given equations [tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex], [tex]4(0.5x-2)+3x=-14-(x+6)[/tex] and [tex]8(0.5x-3)+4x=-9-(x+6)[/tex] are x=-1, x=-2 and x=1 respectively.

Answer:

5

Step-by-step explanation:

-5x =25x      

-5 -5

you divide both sides by -5

and you get x=5

hunn please click thanks button

Answer: -18

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

20 characters nsnsjnsjs

Answer:

35 %

Step-by-step explanation:

50 % of 80 is 40 so 28% of 80 is 35%

if you just divide  80 by 28 you will get 35.

Answer:

Jack Barlow

Step-by-step explanation:

Answer:

W perimeter = 40

Step-by-step explanation:

All the sides of the squares equal the same amount.

If the perimeter of R is 28 divide 28 by 4 to give you 7.

And to get the area of a square you do length x width

So T would be 3 x 3 = 9

And it you add up 7 + 3 the sides on R and T = 10

So the left side on square W = 10

To get the perimeter multiply 10*4 = 40

I'm 90% sure, but hope this helps!!!

Answer:

[tex](x + 9)[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 12x + 27[/tex]

[tex](x {}^{2} + 3x) + (9x + 27)[/tex]

[tex]x(x + 3) + 9(x + 3)[/tex]

[tex](x + 3)(x + 9)[/tex]

[tex] \red { \orange {\boxed {\boxed{\star Option \: 1 \star}}}}[/tex]

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

Answer:

OMG yessss

Step-by-step explanation:

Answer:

-6 < x < 2

Step-by-step explanation:

-2|2x+4|+10>-6

Subtract 10 from each side

-2|2x+4|+10-10>-6-10

-2|2x+4|>-16

Divide by -2, remembering to flip the inequality

-2/-2|2x+4|>-16/-2

|2x+4|<8

We have two solutions, one positive and one negative( remember to flip the inequality)

2x+4 < 8    and 2x+4 > -8

Subtract 4 from each side

2x+4-4 < 8-4    and 2x+4-4 > -8-4

2x < 4             and   2x > -12

Divide by 2

2x/2 < 4/2             and   2x/2 > -12/2

x <2                and           x > -6

-6 < x < 2

Answer:

x<2 and x>-6

Step-by-step explanation:

First, get rid of anything on the outside of the absolute value bars. Subtract the 10 on both sides first.

-2|2x+4|+10>-6

             -10  -10

-2|2x+4|>-16

Now, divide by -2 on both sides.

-2|2x+4|>-16

/-2           /-2

|2x+4|<8

Just so you know, any time you multiply or divide by a negative, flip the inequality sign. Now because the numbers in the absolute bars are by themselves, you can start to finally solve. But, when you have an equation with absolute bars and you have the numbers in the absolute bars by themselves, you always have to split it into two equations. The equations have to be identical, but the number on the opposite side of the x has to be negative. Now, you solve both equations just like regular ones. Also, flip the sign for the inequality with the negative number.

|2x+4|<8    and     |2x+4|>-8

     -4  -4                     -4  -4

2x<4                      2x>-12

/2  /2                      /2   /2

x<2          and          x>-6

I hope this helps you out!!! Have an amazing day C:

Answer:

Subtract 6.13ft from 6.57ft, and you should get .44 as your answer.

Answer:

r=32/7

Step-by-step explanation:

Let's solve your equation step-by-step.

Step 1: Simplify both sides of the equation.

1/2r + 2 (3/4r - 1) = 1/4r + 6

Step 1: Simplify both sides of the equation.

1/2r + 2 (3/4r - 1) = 1/4r + 6

1/2r+(2)(3/4r)+(2)(-1)=1/4r+6(Distribute)

1/2r+3/2r+-2=1/4r+6

(1/2r+3/2r)+(-2)=1/4r+6(Combine Like Terms)

2r+-2=1/4r+6

2r-2=1/4r+6

Step 2: Subtract 1/4r from both sides.

2r-2-1/4r=14r+6-14r

7/4r-2=6

Step 3: Add 2 to both sides.

7/4r-2+2=6+2

7/4r=8

Step 4: Multiply both sides by 4/7.

(4/7)*(7/4r)=(4/7)*(8)

r=32/7

Answer: r=32/7

hope this helps :)

Step-by-step explanation:

1. y = -3

2. x= -23

3. r = 8

4. b= 15

Answer:

i hate biden

Step-by-step explanation:

Answer:

a. intersecting

b. parallel

c. skew

d. intersecting

e. parallel

Answer:

The answer is 19.

Step-by-step explanation:

You have to substitute x = 4 into the function of g(x) :

g(x) = x² + 3

g(4) = 4² + 3

g(4) = 16 + 3

g(4) = 19

Answer:

[tex]\frac{-19}{8}[/tex]

Step-by-step explanation:

[tex]\frac{-3}{4}-\frac{13}{8}[/tex]

[tex]-\frac{3}{2^2}-\frac{13}{2^3}[/tex]

[tex]\frac{2(-3)+(-13)}{2^3}=\frac{-19}{8}[/tex]

hope it helps u

Answer: 0/9

Step-by-step explanation: Hi there!

First, we have to put the points into the y2-y1/x2-x1 form.

Take the y value from the second point (-8) and the first point y value (-8)

and subtract.

-8 - (-8)

to get 0

Now we have to get our denominator by taking the x value from our second point and subtracting it by our first y point.

7 - (-2)

to get 9

so when we put that together...

we get 0/9

So the answer is 0/9.

Hope this answer helps you!

Answer:

I think 7.2

Step-by-step explanation:

I multiply .6 to 12 and got that

Answer:

200,000

80,000

9,000,000

10,000,000,000

What is the context of this question?

Step-by-step explanation:

Answer:

So standard form just means 200,000 written as like 200^ something(I think)

Step-by-step explanation:

Answer:

red line shown is how to graph x = -1

Step-by-step explanation:

Answer:

The number of pink pens can be 19 .

Step-by-step explanation:

Total Number of pens = 20

Let x be the number of pink pens

We are supposed to find If the probability of choosing a pink pen is close to 1, how many pink pens would you expect to see in Amanda's bag

Probability of choosing a pink pen = [tex]\frac{\text{Number of pink pens}}{\text{Total Number of pens}}[/tex]

Probability of choosing a pink pen =[tex]\frac{x}{20}[/tex]

ATQ

[tex]\frac{x}{20}[/tex]≈1

x≈20

So, the number of pink pens can be 19 .

Answer:

1/6 or 16 %

Step-by-step explanation:

hope this helps

Answer:

We know that

November has 30 days, which means 4 weeks and 2 days.

Step-by-step explanation:

Now, 4 weeks will contain 4 Sunday.

The remaining 2 days may be :

1. Sunday and Monday

2. Monday and Tuesday

3. Tuesday and Wednesday

4. Wednesday and Thursday

5. Thursday and Friday

6. Friday and Saturday

7. Saturday and Sunday

Total number of possible outcomes = 7

Now, favourable outcomes are : Sunday and Monday, Saturday and Sunday

Number of favourable outcomes = 2

Required probability (P)= Number of favourable outcomes /Total number of possible outcomes

P = 2/7

Answer:18-1 closed right 5

19-3 open right5

20 0 open left 1 3 closed right 1

21 -4 open left 2 -3 open right 3

22 3 close left 2  6 open right 1

23-3 open left 1  0 open right 2

Step-by-step explanation:

Answer: D. Matthew’s, Rhoda’s, and Ming’s

Step-by-step explanation:

√0.89 ≈ 0.94

Anyah is incorrect because both of her decimals are smaller than √0.89.

Matthew is correct because 0 is less than 0.89 but 1 is still greater than 0.89.

Rhoda is correct because 0.9² is 0.81 is less than 0.89 but 1.0² is 1 which is still greater than 0.89.

Ming is correct because 0.93² is about 0.87 which is less than 0.89 but 0.95² is about 0.9 which is still greater than 0.89.

I hope this helps!

Answer:

y o = 2 sin ( π/6 ) = 2 * 1/2 = 1

x o = π / 6

y ` = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;

m = √3

An equation of the tangent line is:

y - y o = m ( x - x o )

Answer:

y - 1 = √3 ( x - π/6 )

Step-by-step explanation

please give me brainliest     hope it helps