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3 years ago

Y=x^3+125 Needs to be factored

Mathematics

1 answer:

Marianna [84]3 years ago

5 0

$a^3+b^3=(a+b)(a^2-ab+b^2)\\\\\\y=x^3+125=x^3+5^3=(x+5)(x^2-5x+5^2)\\\\=(x+5)(x^2-5x+25)$

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ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.

Leya [2.2K]

Answer:

y=1/2x+9

Step-by-step explanation:

By the least steep graph, it means the "smallest" slope. The smaller the slope is, the less steep it'd be. The slope can be positive or negative, too.

1/4x<-1/2x<2x<-6x

Therefore, y=1/2x+9 would be the equation with the least steep graph.

I hope this helped! Have a good day!

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3 years ago

Newton's law of cooling is:

Mnenie [13.5K]

Answer:

$t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr$

So it would takes approximately 6.9 hours to reach 32 F.

Step-by-step explanation:

For this case we have the following differential equationÑ

$\frac{du}{dt}= -k (u-T)$

We can reorder the expression like this:

$\frac{du}{u-T} = -k dt$

We can use the substitution $w = u-T$ and $dw =du$ so then we have:

$\frac{dw}{w} =-k dt$

IF we integrate both sides we got:

$ln |w| = -kt +C$

If we apply exponential in both sides we got:

$w = e^{-kt} *e^c$

And if we replace w = u-T we got:

$u(t)= T + C_1 e^{-kt}$

We can also express the solution in the following terms:

$u(t) = (T_i -T_{amb}) e^{kt} +T_{amb}$

For this case we know that $k =-0.15 hr$ since w ehave a cooloing, $T_{i}= 70 F, T_{amb}=11F$ , we have this model:

$u(t) = (70-11) e^{-0.15t} +11$

And if we want that the temperature would be 32F we can solve for t like this:

$32 = 59 e^{-0.15 t} +11$

$21=59 e^{-0.15 t}$

$\frac{21}{59} = e^{-0.15 t}$

If we apply natural logs on both sides we got:

$ln (\frac{21}{59}) =-0.15 t$

$t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr$

So it would takes approximately 6.9 hours to reach 32 F.

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4 years ago

The points (-2, 6) and (2, r) lie on a line with slope 3. Find the missing coordinate r.

sashaice [31]

ANSWER: r=18

EXPLANATION:

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3 years ago

Jamal is running 42 kilometers. The amount of time t it takes Jamal to run varies inversely with the rate, r, at which he runs,

leva [86]

Answer:

t α 1 /r ; t = k/r

Step-by-step explanation:

Given that :

Time taken, t varies inverse as rate, r

MATHEMATICALLY,

t α 1 /r

Hence,

t = k/r ;

Where, k is the proportionality constant

Hence, the situation could be expressed as :

t = k/r OR

t α 1 /r

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3 years ago

The front yard of a house is 80 feet long and 50 feet wide. The backyard of the house is 50 feet long and 40 feet wide. What is

Alisiya [41]

Simple, the area is 80*50, 80*50=4,000 ft², the backyard has a dimension of 50*40=2,000 ft², subtract 4,000 from 2,000, 4,000-2,000=2,000 ft²

7 0

4 years ago

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