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2 years ago

Find the illegal values of b in the fraction 2b^2+3b-10/b^2-2b-8

Mathematics

2 answers:

Monica [59]2 years ago

8 0

That is the ones that make the denomenator 0

b^2-2b-8=0
solve
factor
(b-4)(b+2)=0
b=4 and -2

answer is B

krok68 [10]2 years ago

5 0

Answer:

The correct option is B

Step-by-step explanation:

we have to find the illegal values of b in the fraction

$\frac{2b^2+3b-10}{b^2-2b-8}$

The values of b that makes the denominator 0 which are illegal values of b in the fraction

$\frac{2b^2+3b-10}{b^2-2b-8}$

$b^2-2b-8=0$

solve factor

$b^2-2b-8=0$

By middle term splitting method

$b^2-4b+2b-8=0$

$b(b-4)+2(b-4)$

$(b-4)(b+2)$

b=4 and -2

The correct option is B

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Ratio for 669 and 221

alexandr402 [8]

Hello from MrBillDoesMath!

Answer:

669/221

Discussion:

Ratio of 669 to 221 = 669/221.

Now, 669 = 3 * 223 and 221 = 13 * 17. Note that all numbers involved in the factorizations are distinct primes so nothing cancels out in their ratio. That is,

669/221 can not be reduced further.

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2 years ago

Jane wants to add chocolate chips to her trail mix. A 3-pound bag of chocolate chips costs $3.22. What is the unit price?

IrinaVladis [17]

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Answer:

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Step-by-step explanation:

let l be the length and w be the width of the rectangle respectively;

Diagonal(D) of a rectangle is given by:

$D = \sqrt{l^2+w^2}$ ......[1]

As per the given statement we have;

Diagonal(D) = width + 2

and

$l = 2 \times w$ = 2w

Now, substitute these in [1] we have;

$\sqrt{(2w)^2+w^2} = w+5$

Squaring both the sides we get;

$4w^2+w^2 = (w+2)^2$

$5w^2 = w^2 + 4 + 4w$

$5w^2 -w^2 = 4w + 4$ or

$4w^2= 4w + 4$

Simplify:

$w^2-w-1 =0$ ......[2]

The quadratic equation is in the form of $ax^2+bx+c = 0$

the solution is given by: $x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}$

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a= 1 , b = -1 and c = -1

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$w= \frac{-(-1) \pm\sqrt{(-1)^2-4(1)(-1)}}{2(1)}$

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Simplify:

$w \approx 1.62$ and $w \approx -0.62$

Then, the diagonal D = w+2

For $w \approx 1.62$

$D = 1.62 +2 \approx 3.62$

For $w \approx -0.62$

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2 years ago

A country's population in 1993 was 94 million. in 1999 in was 99 million. estimate the population in 2005 using the exponential

Jet001 [13]

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Because P(5) = 99 million (in 1999),
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