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bagirrra123 [75]

3 years ago

5

When the American Idol competition was down to the final two contestants, the winner was ahead of the second place finisher by $

12$ million votes. If the total number of votes was $90$ million, how many votes did the winner get?

1 answer:

Ilya [14]3 years ago

8 0

Answer:

51 million

Step-by-step explanation:

a small loan of 51 mIlLiOn dOlLaRs

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I really need help i don’t understand !!!!!!

inn [45]

Answer:

y+2 = -4/5(x-3)

Step-by-step explanation:

The point slope form of a line is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point

y - -2 = -4/5(x-3)

y+2 = -4/5(x-3)

6 0

3 years ago

What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?

AnnyKZ [126]

Given the function f(x)=x^2+5x+5 , to get the zeros we solve using quadratic formula;
x=[-b(+or-) sqrt(b^2-4ac)]/(2a)
from our function;
a=1,b=5, c=5

thus,

x=[-5(+or-)sqrt(5^2-4*1*5)]/(2*1)
x=[-5(+or-)sqrt(25-20)]/2
x=[-5+/-sqrt(5)/2

The answer is option C

4 0

2 years ago

Read 2 more answers

To get to a dog show, Mr. Luna first drives 7 miles west from his home and then 3 miles north. Next, he turns east and drives 11

umka21 [38]

All the other stuff, east/west, doesn't matter.

He drives 3 miles north, then later on he drives 4 more miles north:
3 + 4 = 7

The dog show is 7 miles north of his home.

6 0

3 years ago

Find the general solution to 1/x dy/dx - 2y/x^2 = x cos x, y(pi) = pi^2

Finger [1]

Answer:

$\frac{y}{x^2}=\sin x+\pi$

Step-by-step explanation:

Consider linear differential equation $\frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x)$

It's solution is of form $y\,I.F=\int I.F\,q(x)\,dx$ where I.F is integrating factor given by $I.F=e^{\int p(x)\,dx}$ .

Given: $\frac{1}{x}\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x^2}=x\cos x$

We can write this equation as $\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x}=x^2\cos x$

On comparing this equation with $\frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x)$ , we get $p(x)=\frac{-2}{x}\,\,,\,\,q(x)=x^2\cos x$

I.F = $e^{\int p(x)\,dx}=e^{\int \frac{-2}{x}\,dx}=e^{-2\ln x}=e^{\ln x^{-2}}=\frac{1}{x^2}$ { formula used: $\ln a^b=b\ln a$ }

we get solution as follows:

$\frac{y}{x^2}=\int \frac{1}{x^2}x^2\cos x\,dx\\\frac{y}{x^2}=\int \cos x\,dx\\\\\frac{y}{x^2}=\sin x+C$

{ formula used: $\int \cos x\,dx=\sin x$ }

Applying condition: $y(\pi)=\pi^2$

$\frac{y}{x^2}=\sin x+C\\\frac{\pi^2}{\pi}=\sin\pi+C\\\pi=C$

So, we get solution as :

$\frac{y}{x^2}=\sin x+\pi$

4 0

3 years ago

Number 6 plz!! Answer fast!!

zysi [14]

IF A MOD DOESN'T DELETE THIS

8 is the GCF, so that means it's 8(3+5) = 8(8) = 64

6 0

3 years ago

Read 2 more answers