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3 years ago

Is 2(2x-4)+8y+10-2y an expression to be simplified or an equation to be sovled? check all that apply

1 answer:

8 0

I’m pretty sure the answers are B, C, and D because it is an expression because their is not equal signs, so that crosses out E, F, and G. But I’m not really sure, but all I can tell you is that it is most likely not E, F, and G

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Step-by-step explanation:

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During a cold night in Chicago, the temperature each day at midnight was -6.5 degrees, -10.7 degrees, -2.3 degrees, -4.5 degrees

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3 years ago

How do I solve 4x-2(x-5) = -7+5x+2

natta225 [31]

Answer:

x=5

Step-by-step explanation:

1) Group like terms which will then make the equation 4x-2(x-5)=5x-5

2) Expand the equation (multiply) which will make it 4x-2x+10=5x-5

3) Add similar elements; 2x+10=5x-5

4) Subtract 10 from both sides; 2x=5x-15

5) Subtract 5x from both sides; -3x=-15

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3 years ago

The difference between the roots of the quadratic equation x^2−14x+q=0 is 6. Find q.

pychu [463]

Answer :

The value of q for, the given quadratic equation is 40

Step-by-step explanation :

Given quadratic equation as :

x² - 14 x + q = 0

And , Difference between the roots of equation is 6

Let A , B be the roots of the equation

So, A - B = 6

The roots of the quadratic equation ax² + bx + c = 0 as can be find as :

x = $\frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

x = $\frac{14\pm \sqrt{(-14)^{2}-4\times 1\times q}}{2\times 1}$

or, x = $\frac{-14\pm \sqrt{196-4 q}}{2}$

Or, x = $\frac{-14\pm \sqrt{196-4 q}}{2}$

So , The roots are

A = $-7 + \frac{\sqrt{196-4q}}{2}$

And B = $-7 - \frac{\sqrt{196-4q}}{2}$

∵ The difference between the roots is 6

So, A - B = 6

Or, ( $-7 + \frac{\sqrt{196-4q}}{2}$ ) - ( $-7 - \frac{\sqrt{196-4q}}{2}$ ) = 6

Or, ( - 7 + 7 ) + 2 ( $\sqrt{196-4q}$ = 6

Or, 0 + 2 ( $\sqrt{196-4q}$ = 6

∴ 196 - 4 q = 36

or, 4 q = 196 - 36

or 4 q = 160

∴ q = $\frac{160}{4}$

I.e q = 40

S0, The value of q = 40

Hence The value of q for, the given quadratic equation is 40 . Answer

8 0

3 years ago