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3 years ago

F(r-2)=6(r-2)+7=6r-12+7

Mathematics

1 answer:

Gre4nikov [31]3 years ago

3 0

Answer: D=22

Step-by-step explanation:

this is because if multiply f by r you get D and then you do all the other rmathematics and you wind up with 22

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Explain how to determine the zeros of f(x)=(x+3)(x-1)(x-8)

spin [16.1K]

Answer:

x=-3, x=1, x=8

Step-by-step explanation:

When you have to find the zero of an equation like (x+3) all you have to do is solve for x.

x+3=0 equal the equation to zero

x+3-3=0-3 cancel out 3

x=-3 answer

If you have to find the zero of an equation like f(x)=-2x^2 - 5x + 7 then you would have to factor the equation.

7*-2=-14 multiply

-7 & 2 find the two numbers that when multiplied =14 and when added = -5

(2x^2 + 2) (-7x + 7) replace -5 with -7 & 2

-2x (x - 1) -7 (x - 1) factor

(x - 1) (-2x - 7) rewrite

1st: x - 1 = 0

x = 1 : Answer

2nd: -2x - 7= 0

-2x - 7 + 7 = 0 + 7

-2x = 7

-2x / -2 = 7 / -2

x = 7 / -2 : Answer

7 0

3 years ago

Read 2 more answers

kendra biked 10kilometers on monday .she biked twice as many kilometers on tuseday how many total meters did she bike

hram777 [196]

Answer:

10km+10km*2 = 30km

30km*(1000m/1km) = 30000m

In the second equation of the problem, the kilometers from the initial total distance biked is cancelled out by the conversion of kilometers to meters, as seen in the 1000m/1km (or 1000 meters for every 1 kilometer).

Read more on Brainly.com - brainly.com/question/454009#readmore

Step-by-step explanation:

5 0

3 years ago

Find the slope of -5x-8

-BARSIC- [3]

Answer:

-5

Step-by-step explanation:

The equation is in slope intercept form. $y=mx+b$

8 replaces b, so it is the y-intercept.

-5 replaces m, so it is the slope.

5 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

Dwight made double the number of baskets in the second half of the basketball game than in the first half. He made 5 baskets in

Anarel [89]

He made 10 baskets because yoh must double 5

5 0

3 years ago