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3 years ago

Solve F(x) for the given domain. F(x) = x 2 + 3x - 2 F(1) = 2 3 30

Mathematics

1 answer:

Artyom0805 [142]3 years ago

4 0

Answer:

f(1) = 2

Step-by-step explanation:

To find f(1), substitute x = 1 into f(x), that is

f(1) = 1² + 3(1) - 2 = 1 + 3 - 2 = 2

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4 years ago

In a recent survey of monetary donations made by college graduates, the following information was obtained: 91 graduates had don

vodka [1.7K]

Answer: a) 11.26% and b) 50.23%

Step-by-step explanation:

Number of graduates donated to a political campaign n(A) = 91

Number of graduates donated to assist medical research n(B) = 76

Number of graduated to help preserve the environment n(C) = 131

Number of graduated donated to all n(A∩B∩C) = 27

Number of graduates donated to none = 24

Number of graduated donated to political campaign and to medical research n(A∩B) = 32

Number of graduates donated to medical research and to preserve the environment n(B∩C) = 48

Number of graduates donated to a political campaign and to preserve the environment n(C∩A) = 56

Now,

n(U)=n(A)+n(B)+n(C)-n(A∩B)-n(B∩C) -n(C∩A)+n(A∩B∩C)+n(none)

$n(U)=91+76+131-32-48-56+27+24=213$

So, What percent of the college graduates donated to none of the three listed causes?

Percentage would be

$\dfrac{24}{213}\times 100\\\\=11.26\%$

(b) What percent of the college graduates donated to exactly one of the three listed causes?

Exactly one = 91+76+131-2(32-56-48)+3(27)=107

Percentage would be

$\dfrac{107}{213}\times 100\\\\=50.23\%$

Hence, a) 11.26% and b) 50.23%

4 0

4 years ago

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andrezito [222]

Y=4 x=2

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3 years ago

Find the volume of the solid under the plane 3x+2y−z=0 and above the region enclosed by the parabolas y=x^2 and x=y^2.

Yuri [45]

The region in the x-y plane is the set of points

$R=\{(x,y)\mid0\le x\le 1,x^2\le y\le\sqrt x\}$

The height of the solid falls between the x-y plane (for which z = 0) and the equation of the plane, z = 3x + 2y.

So the volume is

$\displaystyle\int_0^1\int_{x^2}^{\sqrt x}\int_0^{3x+2y}\mathrm dz\,\mathrm dy\,\mathrm dx$

$=\displaystyle\int_0^1\int_{x^2}^{\sqrt x}(3x+2y)\mathrm dy\,\mathrm dx$

$=\displaystyle\int_0^1(3x^{3/2}+x-3x^3-x^4)\,\mathrm dx$

$=\displaystyle\frac65+\frac12-\frac34-\frac15=\boxed{\dfrac34}$

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3 years ago

If you can run 3 miles in 20 minutes, how far can you run in one hour?

Irina-Kira [14]

Answer:

I think it would be 9 miles.

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3 years ago