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2 years ago

If C = 1+ p2 + 3p and B = 2p + 6p, find an expression that equals 2C – – B in

Mathematics

1 answer:

drek231 [11]2 years ago

4 0

Answer:

2p² + 14p + 2

Step-by-step explanation:

Given that;

C= 1+p²+3p

B=2p+6p

The expression that equals to : 2C - -B will be;

2{1+p²+3p} - {-2p-6p}

2+2p²+6p + 2p + 6p

2p² + 6p +2p +6p +2

2p² + 14p + 2

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A cylinder has a volume of approximately 70.7 cubic centimeters and a height of 10 centimeters.

kaheart [24]

V = π*r^2*h
70.7 = π*r^2*10
70.7/(10π) = r^2 ≈ 2.25045
r ≈ √2.25045 ≈ 1.5 . . . . cm

4 0

2 years ago

11.49 for 3 packages

alexandr402 [8]

Answer: $3.83 per package

Step-by-step explanation:

Simply you need to use division

Divide 11.49 by 3

11.49/3

To which you will get

$3.83

4 0

2 years ago

Which can be the first step in finding the equation of the line that passes through the points (5, -4) and (-1, 8) in slope-inte

abruzzese [7]

Answer:

y = -2x + 6

Step-by-step explanation:

Slope = (-4 - 8)/(5 + 1)

= -12/6

= -2

Equation

y - 8 = -2(x + 1)

y - 8 = -2x - 2

y = -2x + 6 <-----------slope-intercept form

7 0

2 years ago

Differentiate x^2 e^x logx

zimovet [89]

Product rule:

$\dfrac{\mathrm d}{\mathrm dx}(x^2e^x\log x)$

$=\dfrac{\mathrm d(x^2)}{\mathrm dx}e^x\log x+x^2\dfrac{\mathrm d(e^x)}{\mathrm dx}\log x+x^2e^x\dfrac{\mathrm d(\log x)}{\mathrm dx}$

Power rule:

$\dfrac{\mathrm d(x^2)}{\mathrm dx}=2x$

The exponential function is its own derivative:

$\dfrac{\mathrm d(e^x)}{\mathrm dx}=e^x$

Assuming the base of $\log x$ is $e$ , its derivative is

$\dfrac{\mathrm d(\log x)}{\mathrm dx}=\dfrac1x$

But if you mean a logarithm of arbitrary base $b$ , we have

$y=\log_bx\implies x=b^y=e^{y\ln b}\implies1=e^{y\ln b}\ln b\dfrac{\mathrm dy}{\mathrm dx}$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{e^{-y\ln b}}{\ln b}=\dfrac1{b^y\ln b}$

$\implies\dfrac{\mathrm d(\log_bx)}{\mathrm dx}=\dfrac1{x\ln b}$

So we end up with

$2xe^x\log x+x^2e^x\log x+\dfrac{x^2e^x}x$

$=xe^x(2\log x+x\log x+1)$

8 0

2 years ago

I NEED HELP please!!

swat32

9514 1404 393

Answer:

Step-by-step explanation:

As x goes up by 1, f(x) goes up by 2. The next line of the chart would be ...

x = 4+1 = 5; f(x) = 9+2 = 11

The appropriate choice is f(5) = 11.

5 0

2 years ago