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3 years ago

WILL MARK BRAILIEST TO THE PERSON WHO GET IT RIGHT!

Mathematics

1 answer:

adelina 88 [10]3 years ago

5 0

Answer:

Hello! Your answer would be, = 1020.5

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

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An expression is shown below: 3pf2 − 21p2f + 6pf − 42p2 Part A: Rewrite the expression by factoring out the greatest common fact

Contact [7]

Answer:

3pf² - 21p²f + 6pf - 42p²

= 3pf² + 6pf - 21p²f - 42p²

= 3pf(f +2) - 21p²(f + 2)

= (3pf - 21p²)(f +0 2)

Answer: (3pf - 21p²)(f + 2)

Step-by-step explanation:

7 0

3 years ago

A merchant has coffee worth $40 a pound that she wishes to mix

pantera1 [17]

Answer:

Step-by-step explanation:

let x = the number of pounds of cheaper coffee.

Since the merchant is mixing this with more expensive coffee, then

x + 60 = the number of pounds of medium priced mixed coffee.

The equation is gotten from this

+ =

(x)($40) + (60)($90) = (x + 60)($70) or

40x + 5400 = 70(x + 60)

Solve that equation and get x = 40

Answer: 40 pounds of $40 coffee.

i hope this helped

8 0

3 years ago

D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x

MA_775_DIABLO [31]

The solution depends on the value of $k$ . To make things simple, assume $k>0$ . The homogeneous part of the equation is

$\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0$

and has characteristic equation

$r^2-16k=0\implies r=\pm4\sqrt k$

which admits the characteristic solution $y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}$ .

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be $y_p=ae^{4x}+be^x$ . Then

$\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x$

So you have

$16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x$
$(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x$

This means

$16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}$
$b(1-16k)=30\implies b=\dfrac{30}{1-16k}$

and so the general solution would be

$y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x$

8 0

3 years ago

In Triangle XYZ, x = 5.2 inches, y = 9.8 inches and z=7.1 inches. Find the measure of

Oduvanchick [21]

Answer: 45

Step-by-step explanation:

7 0

3 years ago

What two numbers multiply to equal negative 45 but add together to equal negative 13?

mars1129 [50]

This is not possible, thus just use the Quadratic Formula or mark it as not possible.

7 0

4 years ago