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3 years ago

Which is a y-intercept of the graphed function ?

Mathematics

1 answer:

VMariaS [17]3 years ago

3 0

I think it's (0, -9)

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The length of a rectangle is three times its width. If the area of the rectangle is 192 ft^2, find its perimeter

Blababa [14]

Answer: 64 feet.

Explanation:
Perimeter formula: 2l + 2w
Area formula: l•w
Length = 3w
Area = 192 ft $^{2}$
192 = (3w) • w
192 = 3 $w^{2}$
192 ÷ 3 = 3 $w^{2}$ ÷ 3
64 = $w^{2}$
$\sqrt{64}$ = $\sqrt{ w^{2} }$
8 = w

Width = 8
Length = 3(8) = 24
Perimeter = 2(24) + 2(8) = 64 feet.

3 0

3 years ago

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Calculate the median 5,10,12,4,6,11,13,5

goldfiish [28.3K]

Arrange them first
4,5,5,6,10,11,12,13

These are 8 numbers.we will divide the sum of middle 2 numbees on 2.
6+10=16÷2
8..median

8 0

3 years ago

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Can I simplify this down anymore? a (a+b) (a-b) / a^2 + 2ab + 2b^2

Andrew [12]

I don't believe you can. It would end up being 1/2 for all the terms so just leaving it as a fraction would be neater.

4 0

3 years ago

FIND THE TOTAL NUMBER OF COMBINATIONS

sleet_krkn [62]

Answer:

B.120 i took the test and got it right.

8 0

3 years ago

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Bernoulli differential equation... y'+xy=xy^2

snow_lady [41]

$y'+xy=xy^2\implies y^{-2}y'+xy^{-1}=x$

Let $z=y^{-1}$ , so that $z'=-y^{-2}y'$ . Then the ODE becomes linear in $z$ with

$-z'+xz=x\implies z'-xz=-x$

Find an integrating factor:

$\mu(x)=\exp\left(\displaystyle\int-x\,\mathrm dx\right)=e^{-x^2/2}$

Multiply both sides of the ODE by $\mu$ :

$e^{-x^2/2}z'-xe^{-x^2/2}z=-xe^{-x^2/2}$

The left side can be consolidated as a derivative:

$\left(e^{-x^2/2}z\right)'=-xe^{-x^2/2}$

Integrate both sides with respect to $x$ to get

$e^{-x^2/2}z=e^{x^2/2}+C$

where the right side can be computed with a simple substitution. Then

$z=1+Ce^{x^2/2}$

Back-substitute to solve for $y$ .

$y^{-1}=1+Ce^{x^2/2}\implies y=\dfrac1{1+Ce^{x^2/2}}$

3 0

3 years ago