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Katarina [22]
3 years ago
5

2x^2=4+6x Show your work please

Mathematics
1 answer:
Furkat [3]3 years ago
7 0

Answer: x = 3 - sqrt 17 / 2 , x = 3 + sqrt 17 / 2

Step-by-step explanation:

2x^2 = 4 + 6x

divide both sides by 2

x^2 = 2 + 3x

move expression to the left

x^2 - 2 - 3x = 0

reorder the terms

x^2 - 3x - 2 = 0

use the quadratic formula

x = - (-3) +- sqrt (-3)^2 - 4 x (-2) / 2 x 1

calculate

x = 3 +- sqrt 17 / 2

answer

x = 3 - sqrt 17 / 2 , x = 3 + sqrt 17 / 2

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Apply the distributive property to create an equivalent expression.<br><br> (6m – 7). 4=
Savatey [412]

Answer: 24m-28

Step-by-step explanation:

According to the distributive property ,

a(b+c) = ab+ac

(b+c)a = ba+ca , where a, b and c are any arbitrary expressions.

Given expression : (6m-7)\cdot4

By using distributive property , we have

(6m - 7)\cdot 4= (6m)(4)-(7)(4)\\\\= (6)(4)(m)-28 \ \ \ [\text{By associative property}]\\\\=24m-28

Hence, the required equivalent expression is 24m-28.

6 0
3 years ago
Read 2 more answers
A "point" is 1% of your borrowed amount on a mortgage. You want to pay 2 points to get a 0.5% reduction in your interest rate on
zzz [600]
Hi there:)

One point is 1%
Two points 2%

You want to pay two points so
175,000×0.02=3,500 ....answer

Hope it helps
5 0
3 years ago
Image attachment below, Algebra 1 stuff
chubhunter [2.5K]
I know you didn't want an explanation, but I'll give you one anyway.
So, for a function, when you have f(5) = , then you'll put that 5 in for all of the x's in the function. 

The first batch of problems gave you the equation f(x) = \frac{x}{2} + 3. Now, plug in the numbers given for s and solve.

1. f(5) = <span>\frac{x}{2} + 3   Plug in 5 for x
</span>         = \frac{5}{2} + 3   Make three into a fraction over 2
         = \frac{5}{2} + <span>\frac{6}{2}   Add
         = </span><span><span>\frac{11}{2}

</span>2. f(-4) = </span><span>\frac{x}{2} + 3   Plug in -4 for x
           = </span><span>\frac{-4}{2} + 3   Divide -4 by 2
           = -2 + 3   Add
           = 1

For the next set, you have g(x) = x</span>² + 1.

3. Let's split this up. Solve the first equation, then the second, and then put         the answers together to solve it.

g(4) = x² + 1   Plug in 4 for x
       = 4² + 1   Square
       = 16 + 1   Add
       = 17

g(3) = x² + 1   Plug in 3 for x
       = 3² + 1   Square
       = 9 + 1   Add
       = 10

Now, put the two together.

g(4) + g(3) =    Substitute in the answers you just got.
      17 + 10 =    Add
                  = 27         

4. g(-1) = x² + 1      Substitute in -1 for x
            = (-1)² + 1   Square
            = 1 + 1        Add
            = 2

5. g(-6) = x² + 1       Plug in -6 for x
             = (-6)² + 1   Square
             = 36 + 1      Add
             = 37

For the last set, we have h(x) = x² + 7 and k(x) = 4x - 5. We'll have to pay close attention to the starting variables here.

6. h(-6) = x² + 7       Plug in -6 for x
             = (-6)² + 7   Square
             = 36 + 7      Add
             = 43

k(4) = 4x - 5     Plug in 4 for x
       = 4(4) - 5   Multiply
       = 16 - 5      Subtract
       = 11

Put the two answers into the final equation.

h(-6) + k(4) =    Substitute in the answers you got
       43 + 11 =    Add
                   = 54

7. k(10) = 4x - 5       Plug in 10 for x
            = 4(10) - 5   Multiply
            = 40 - 5      Subtract
            = 35

h(2) = x² + 7   Plug in 2 for x
       = 2² + 7   Square
       = 4 + 7     Add
       = 11

Now, put those into the equation.

k(10) - h(2) =    Plug in the answers you got
       35 - 11 =    Subtract
                  = 24

8. For this one, it wants you to add h(x) and k(x). We don't need to plug anything into the equations this time because they're both already solved for x! So, you can just set this up like a standard find-x equation.

(x² + 7) + (4x - 5) =
    x² + 7 + 4x - 5 =   Combine like terms (7 and -5)
         x² + 2 + 4x =    Reorder so the variables come first
                            = x² + 4x + 2

  
4 0
3 years ago
Read 2 more answers
Hey can you please help me posted picture of question
Maksim231197 [3]
For this case we have the following equation:
 y = x2-4x + 3
 Deriving we have the following equation:
 y '= 2x-4
 We equal zero and clear x:
 2x-4 = 0
 x = 4/2
 x = 2
 Substituting in the given equation we have:
 y = (2) ^ 2-4 (2) +3
 y = 4-8 + 3
 y = -1
 The vertex will be the ordered pair:
 (x, y) = (2, -1)
 Answer:
 
(x, y) = (2, -1)
 
option B
5 0
3 years ago
Read 2 more answers
Describe a way to make the arithmetic problem 45% x 680 mentally
lord [1]

Answer:

306.

Step-by-step explanation:

Firstly, we are aware 100% of 680 is obviously 680,

Next, we know half of a 100% is 50% therefore half of 680 is 340.

Then, we know 45% is 5% less than 50%

To find 5% of a number mentally, divide it by 10 as 100÷5=20

680÷20=34

Lastly 50% subtracted by 5%: 340-34=306.

Now we know, 45% of 680 is 306.

<em>Hope this helps.</em>

<em>Hope this helps.Please mark BRAINLIEST.</em>

5 0
3 years ago
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