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LiRa [457]
2 years ago
10

Please answer this ASAP

Mathematics
1 answer:
valkas [14]2 years ago
6 0

Answer:

x = 2

Step-by-step explanation:

First, let's write out our equation:

2x-4=6-3x

I want to isolate x on one side, so first, I'll add 4 to both sides to remove the -4 from next to 2x:

2x-4+4=6-3x+4\\2x=-3x + 10

Notice that I combined like terms with the -4 and 4 (to get 0) and the 6 and 4 on the right side (to get 10). Next, I'll add 3x to both sides:

2x + 3x = -3x + 3x + 10

And then I'll add like terms:

5x=10

Now, all we have to do is divide both sides by 5:

5x/5=10/5\\x=2

And there's our answer. Hopefully that's helpful! :)

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Answer:

See below ~

Step-by-step explanation:

<u>Question 18</u>

  • Diameter = Difference in y-coordinates
  • Diameter = 12 - 2 = 10
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  • Radius = 5 cm
  • <u>(1) 5 cm</u>

<u></u>

<u>Question 19</u>

  • 3x² - 34x - 24 = 0
  • (3x + 2)(x - 12) = 0
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3 years ago
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The ratio of boys to girls at the beach cleanup was 7:8. If there were 42 boys, how many girls were there?
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3 0
4 years ago
If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be true? On a coordinate
Nina [5.8K]

Answer:

You did not write the options, but let's solve it in a general way.

f(x) and g(x) are quadratic functions, this means that:

f(x) = a*x^2 + b*x + c

g(x) = d*x^2 + e*x + f

now, (g + f)(x) is a linear function that goes trough the points (-3, 4), (0,1 ) and (1,0)

(g + f)(x) = s*x + k

We can find the slope of this linear function as:

S = (y2 - y1)/(x2 - x1)

i will use the first two points.

S = (1 - 4)/(0 - (-3) = -3/3 = -1

so we have: ( f + h)(x) = -1*x + k

and we can find k using one of the points, for example (0, 1)

1 = -1*0 + k

b = 1.

so we have: (f + g)(x) = -1*x + 1.

Now, (f+g)(x) = (a + d)*x^2 + (b + e)*x + (c + f) = -1*x + 1.

So we must have that:

a = -d

b + e = -1

c + f = 1.

4 0
3 years ago
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