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2 years ago

5

..........................................................................................................

1 answer:

Igoryamba2 years ago

8 0

Answer:

w-2 < -25

Step-by-step explanation:

"Difference" means subtraction.

Less than is the same as the symbol <

The statement can also mean that -25 is greater than w-2.

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What is the solution for the equation StartFraction 5 Over 3 b cubed minus 2 b squared minus 5 EndFraction = StartFraction 2 Ove

wolverine [178]

Answer:

The solutions are:

$b=0,\:b=4$

Step-by-step explanation:

Considering the expression

$\frac{5}{3b^3-2b^2-5}=\frac{2}{b^3-2}$

Solving the expression

$\frac{5}{3b^3-2b^2-5}=\frac{2}{b^3-2}$

$\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c$

$5\left(b^3-2\right)=\left(3b^3-2b^2-5\right)\cdot \:2$

$5b^3-10=6b^3-4b^2-10$

$\mathrm{Switch\:sides}$

$6b^3-4b^2-10=5b^3-10$

$6b^3-4b^2-10+10=5b^3-10+10$

$6b^3-4b^2=5b^3$

$\mathrm{Subtract\:}5b^3\mathrm{\:from\:both\:sides}$

$6b^3-4b^2-5b^3=5b^3-5b^3$

$b^3-4b^2=0$

$Using\:the\:Zero\:Factor\:Principle:$ $if\:\mathrm ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$

So,

$b=0,b-4=0$

$b=0,b=4$

Therefore, the solutions are:

$b=0,\:b=4$

4 0

3 years ago

Read 2 more answers

What is the simplified form of the expression? HELP ASAP

galina1969 [7]

Answer:

$360$

Step-by-step explanation:

$\frac{5(14 - 2)^{2} }{2} = \frac{5 {(12)}^{2} }{2} = \frac{5(144)}{2} \\ \\ \frac{720}{2} = 360$

6 0

2 years ago

Read 2 more answers

How do you Factor this equation

algol [13]

Answer:

(x+4)(x+4)

Step-by-step explanation:

The middle number is 8 and the last number is 16. Factoring means we want something like (x+_)(x+_). We need two numbers that add together to get 8 and multiply together to get 16. The number 4 works perfectly in this equation. That's why (x+4)(x+4) is the factor of the equation x^2 + 8x + 16.

5 0

2 years ago

A short necklace has 32 gold beads and 8 black beads. A long necklace has a total of 60 beads.Both necklaces have the same ratio

Mekhanik [1.2K]

Answer:15

Step-by-step explanation:

7 0

3 years ago

Jane has three boxes she needs to ship. Box X weighs 33 kg more than Box Y and Box Z weighs 12 kg more than Box Y. She

andreyandreev [35.5K]

Answer:

$3w+45=557$

Step-by-step explanation:

Let the weight of box Y be w kg.

Box X weighs 33 kg more than Box Y, then the weight of box X is

$w+33$ kg.

Box Z weighs 12 kg more than Box Y, then the weight of box Z is

$w+12$ kg.

The total weight of all boxes is

$w+(w+33)+(w+12)=w+w+33+w+12=3w+45$ kg

Jane measured the total weight of all the boxes and it was found to be 557 kg, therefore,

$3w+45=557$

or

$3w=512$

3 0

3 years ago