Solve 1/2+1/2x=x^2-7x+10/4x by re-writing the equation as a proportion. Which proportion is equivalent to the original equation?

Mathematics

2 answers:

denis-greek [22]3 years ago

7 0

Answer:

The answer is C. x+1/2x=x^2-7x+10/4x

The next two answers are x=1 and x=8 (true solutions);

AND x=o (extraneous solution)

Step-by-step explanation:

Nitella [24]3 years ago

6 0

Rewriting the equation as a proportion, we have
(1/2 * 2x/2x) + (1/2x * 2/2) = (x^2 - 7x + 10)/4x
(2x/4x) + (2/4x) = (x^2 - 7x + 10)/4x

Multiplying both sides of the equation by 4x to clear the denominators:
2x + 2 = x^2 - 7x + 10
We now have a new equation that is equivalent to the original equation:
x^2 - 9x + 8 = 0

We can also write the equation into its factored form:
(x - 8)(x - 1) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x - 8) or (x - 1) zero will make their product zero.
x - 8 = 0 => x = 8
x - 1 = 0 => x = 1
Therefore, our solutions are x = 8 and x = 1.

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2c divided by 3b, for b=2 and c=6

Levart [38]

(2c) / (3b)

(2*6) / (3*2) =
12/6 =
2 <===

8 0

3 years ago

Read 2 more answers

help with number 2 please i have no idea how to do this. it would be very helpful if you can show the steps

zloy xaker [14]

So in this case, we have to replace the known value.
y=3
y=-2x+3

3=-2x+3

Then we leave our unknown value alone.
$\frac{3-3}{2}$ = x

In this case, our x value would be 0.

We check it...
3=-2(0)+3
3=0+3
3=3

So y=3 x=0

For the second one we have...
y=3x+2
y=-3x-4

For this we substitute the y in any of the equation...
3x+2=-3x-4

We move the unknown values to one side and the ones without unlown values to the other side...
3x+3x=-4-2

Then we solve
6x=-6

Then we leave the unknown value alone.
x= $\frac{-6}{6}$

Then solve for x.
x= -1

Then for our y value we return to one of the original equations and substitute the x value.
y=3x+2
y=3(-1)+2
y=-3+2
y=-1

y=-3x-4
y=-3(-1)-4
y=3-4
y=-1

So in this case we got that x= -1 and y= -1

4 0

3 years ago

Look at Figure X diagrammed on the graph below. Which of the following statements are true

zzz [600]

Check the picture below.

so, if we slap the bottom surplus to the empty area on the top, we can pretty much close off those squares above, that gives a solid area of at least a 4x5 square, the red part and the yellow part there, and that'd give us a perimeter of 4+4+5+5 = 20 at least.

we might also be able to augment the left-right sides together to close off those squares as well, but even if we did, our area will just be about a 4x6 or 24 square units.

A) is the area larger than 14 square units? ✔

B) is the area less than 35 square units? ✔

C) is the perimeter more than 16? ✔