Solve.

4x – 6 = −3x + 8

Answers

Answer 1
Answer:
                                    4x - 6  =  -3x + 8

Add  3x  to each side:  7x - 6  =  8

Add  6  to each side:    7x    =    14

Divide each side by 7:    x  =  2


Answer 2
Answer: 4x – 6 = −3x + 8

4x + 3x = 8  +6
7x = 14
x = 2

Hope this helps you!!!! 

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Three times the quantity of a number and 2.5 is 6.6.

Answers

1. Make an equation
3x * 2.5= 6.6
2. Then solve. Get x on its own side

3x*2.5=6.6
     /2.5=/2.5
3x=2.64
/3=/3
Then check by substituting .88 as x then you will get 6.6
x=0.88
I hope this helped

Final answer:

The question is a basic algebra problem where we are required to solve for a variable, in this instance 'x'. Upon solving the equation 3x + 2.5 = 6.6, we find that x equals approximately 1.37.

Explanation:

The question is asking us to find a number such that when we multiply it by three and then add 2.5, the result is 6.6. In mathematical terms, we can express this as an equation like this: 3x + 2.5 = 6.6.

To solve this equation first, we need to do the opposite operation of adding 2.5 to the equation on both sides, which involves subtracting 2.5 from both sides of the equation. After doing this, the equation becomes 3x = 6.6 - 2.5, which simplifies to 3x = 4.1.

Next, we do the reverse operation of multiplying the unknown by 3, which is done by dividing both sides of the equation by 3. Therefore, x = 4.1 / 3, which gives us x = 1.36666667. This value, rounded to two decimal places, is 1.37.

Learn more about Basic Algebra here:

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Find the equation of the line through point (4,−7) and parallel to y=−23x+32.

Answers

Answer:

y = -23x + 85

Step-by-step explanation:

for an equation to be parallel to another, they must have the same slope. So plugging in (4, -7) we get -7 = -23(4) + P. P being the new y intercept we must find. Now simple algebra add -23(4) = -92 to both sides and we get 85 = P. Plug in to y = mx + b and we get

y = -23x + 85

Solve for x in simplest form. 4=1/3(7x-3)

Answers

Answer:

x=15 over 7

Hope this helps

Step-by-step explanation:

Could someone help me please? I am completely lost on how to figure out this problem.Use Synthetic division to show that x is a solution for the third degree polynomial equation and use the result to Factor the Polynomial Completely. List All real solutions of the equation

x^3 - 57x - 56 = 0,    x = -1

x = _______ (smallest value)
x = _______
x = _______ (largest value)

Answers

From the factor theorem that says, "The polynomial P(x) has x-r as a factor if and only if r is a root of the equation P(x) = 0." So if you plugged -1 into the x's in the equation and get 0 back then, x+1 is a factor. Let's do it.
( -1)^(3) -57(-1)-56=-1+57-56=0
It works. When you plugged -1 into x, you got 0 back and that's what the factor theorem says. 
Now let's test it with synthetic division. If we divide x+1 into the original equation and get a remainder of 0, then we should be good. I'll write it up on Paint and upload it. 
As you can see, our remainder is 0 and our quotient is x^(2) -x-56. This is the Factor the Polynomial part that you wanted. We can factor this into (x-8)(x+7). So our 3 roots of the equation are (x+1)(x-8)(x+7)
Hope this helps and i'm so sorry for the long reply. I forgot to put 0x^2 when I was doing synthetic division. :/ and also sorry for the unclear paint image. you can zoom in if you want. it's nothing really important it just shows me doing the synthetic division part where i divide x+1 into the original equation.

x^3 - 57x - 56=0⇒ x(x^2-57)= 56

Verify if  x= - 1 is a solution of this equation.
(-1)* [(-1)^2 - 57]=56
(-1)[1 - 57] = 56
(-1)*(-56) = 56

56 =2*28 = (-2)*(-28) = 4*14 = (- 4)*(-14) = 8*7= (-8)*(-7)
x=8 ⇒ 8*(64-57)=56            ok⇒ x=8 is a solution
x= -7 ⇒ (-7)*(49-57)=56        ok  ⇒ x= - 7 is a solution

the smallest x= -7 
                    x= - 1
the largest   x= 8


-4(-2)+(-12)÷(+3)+-20+(+4)+(-6)​

Answers

Answer:

-18

Step-by-step explanation:

-4(-2)+(-12)÷(+3)+-20+(+4)+(-6). [B.E.D.M.A.Srule](Firstbracket)

= 8 - 12 ÷ 3 - 20 + 4 - 6. (Thendivision)

= 8 - 4 - 20 + 4 - 6. (Thenafteraddition)

= 8 + 4 - 4 - 20 - 6

= 12 - 30. (Atlastsubtraction)

= -18 (Ans)

Answer:

-18

Step-by-step explanation:

-4(-2)+((-12))/(+3)-20+(+4)+(-6)=8-(12)/(3)-20+4-6=8-4-20+4-6=-18

What is the surface area of a sphere with a radius of 3 centimeters?

Answers

The equation for the surface area of a sphere is A=4 \pi r^(2)

So plug in 3 cm for radius "r"

A=4 \pi ( 3cm)^(2)

Simplify
A=4 \pi (9 cm^(2))
A=36 \pi  cm^(2)

Depending on your teacher, they might want you to leave it like this or plug in 3.14 for \pi
So your answer is either
A=36 \pi cm^(2)
or
A=113.04 cm^(2)