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3 years ago

Help please asap thx

Mathematics

2 answers:

Kay [80]3 years ago

8 0

Answer:

5/2.................

Lelechka [254]3 years ago

7 0

Answer:

2 and a half, but it wants it as a mixed fraction which would be 5/2

Step-by-step explanation:

i hope this helped :)

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Solve the equation x^2+6x= -11/4

xxTIMURxx [149]

Answer:

Step-by-step explanation:

First, move the -11/4 to the other side, so the expression can equal 0.

$x^2+6x+11/4=0$

To make the equation easier to work with, multiply both sides by 4, cancelling out the fraction.

$4x^2+24x+11=0$

There are many ways to solve a quadratic equation (factoring, quadratic formula, completing the square).

Solving this equation by factoring is the easiest. Factoring with a leading coefficient greater than one can be difficult and there are many ways to accomplish it. The way I'm going to do it is to first find the factors of $4x^2$ and then the factors of 11. And then multiply across, add the middle terms (derived from multiplying) and try to make it equal 24x.

$4x^2$ : 24x 11:

2x 22x 11

2x 2x 1

24x (works)

I'll then take the factors diagonal. (2x+1)(2x+11)=0

So $x=-\frac{1}{2}, -\frac{11}{2}$

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2 years ago

Determine coefficients a and b such that p(x)=x2 ax b satisfies p(1)=5 and p′(1)=11.

Murrr4er [49]

$p(x)=x^2+ax+b$
$p'(x)=2x+a$

Given that $p'(1)=11$ , you have

$p'(1)=2+a=11\implies a=9$

and given that $p(1)=5$ , you have

$p(1)=1+9+b=5\implies b=-5$

So you get

$p(x)=x^2+9x-5$

4 0

3 years ago