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Marrrta [24]
3 years ago
10

G(x) = -x+1 H(x)= x-2 Find g(x) • h(x)

Mathematics
1 answer:
Annette [7]3 years ago
7 0
= (-x+1) * (x-2) = -x^2+2x+x-2 = -x^2+3x-2
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16. Juice You bought 12 1-gallon bottles of apple and orange juice for a
const2013 [10]

Answer:

Step-by-step explanation:

let x be apple juice and y be orange juice

12 = x + y

x = 12 - y


15 = 1x + 1.5y

x = 15 - 1.5y

set the equations as equal

12 - y = 15 - 1.5y

solve for y

12 + .5y = 15

.5y = 3

y = 6,  you bought 6 bottles of orange juice

so, 12 = x + 6 , x = 6 , you bought 6 bottles of apple juice

7 0
2 years ago
In each diagram, ∆ABC has been transformed to yield ∆A'B'C'. Which transformation could NOT be achieved by rotation alone?
Cloud [144]

Answer:

Graph D

Step-by-step explanation:

4 0
3 years ago
Consider the following equation. y = 1/3x + 10. Which of the following lines is perpendicular to the one a above ?
seraphim [82]

Answer:

D. Y=3x+10

Step-by-step explanation:

5 0
3 years ago
Solve the Differential equation (x^2 + y^2) dx + (x^2 - xy) dy = 0
natita [175]

Answer:

\frac{y}{x}-2ln(\frac{y}{x}+1)=lnx+C

Step-by-step explanation:

Given differential equation,

(x^2 + y^2) dx + (x^2 - xy) dy = 0

\implies \frac{dy}{dx}=-\frac{x^2 + y^2}{x^2 - xy}----(1)

Let y = vx

Differentiating with respect to x,

\frac{dy}{dx}=v+x\frac{dv}{dx}

From equation (1),

v+x\frac{dv}{dx}=-\frac{x^2 + (vx)^2}{x^2 - x(vx)}

v+x\frac{dv}{dx}=-\frac{x^2 + v^2x^2}{x^2 - vx^2}

v+x\frac{dv}{dx}=-\frac{1 + v^2}{1 - v}

v+x\frac{dv}{dx}=\frac{1 + v^2}{v-1}

x\frac{dv}{dx}=\frac{1 + v^2}{v-1}-v

x\frac{dv}{dx}=\frac{1 + v^2-v^2+v}{v-1}

x\frac{dv}{dx}=\frac{v+1}{v-1}

\frac{v-1}{v+1}dv=\frac{1}{x}dx

Integrating both sides,

\int{\frac{v-1}{v+1}}dv=\int{\frac{1}{x}}dx

\int{\frac{v-1+1-1}{v+1}}dv=lnx + C

\int{1-\frac{2}{v+1}}dv=lnx + C

v-2ln(v+1)=lnx+C

Now, y = vx ⇒ v = y/x

\implies \frac{y}{x}-2ln(\frac{y}{x}+1)=lnx+C

5 0
3 years ago
Please help me!!!!!!
aev [14]
- 10, you go down 4 - this is shown because to get from two to 10 in two, you have to go 2+4=6+4=10
8 0
2 years ago
Read 2 more answers
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