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4 years ago

6

Given AC = 8x+2 DC = 3x AD = 24 Find X Find AC Find CD

1 answer:

Vlad [161]4 years ago

7 0

Answer:

x = 2

Step-by-step explanation:

Given AC = 8x + 2

DC = 3x

AD = 24

AD = AC + DC

⇒ $24 = 8x + 2 + 3x$

$\implies 24 = 11x + 2$

$\implies 22 = 11x$

Dividing by 11 throughout,

$x = 2$

We get x = 2.

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Answer:

Step-by-step explanation:

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3 years ago

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Bob won a $200,000 lottery. He invests part of the money in real estate with an annual return of 3% and the rest in a money mark

SVETLANKA909090 [29]

Answer:

Bob invested $50,000 in real state and $150,000 in a money market.

Step-by-step explanation:

Assuming that x is the investment in real state:

(200,000-x)*0.045 + x * 0.03 = 8,250

Apply distributive property:

(200,000*0,045) - 0.045x +0.03x = 8,250

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4 0

3 years ago

Given that f(x) = x2 + 5x + 6 and g(x) = x + 2, find (fºg)(x) and

PolarNik [594]

Answer:

$(f\circ g)(x)=x^2+9x+20$

Step-by-step explanation:

We have the two functions:

$f(x)=x^2+5x+6\text{ and } g(x)=x+2$

And we want to find:

$(f\circ g)(x)$

This is equivalent to:

$(f\circ g)(x)=f(g(x))$

Therefore, we will have:

$f(x+2)$

By substitution:

$f(x+2)=(x+2)^2+5(x+2)+6$

Simplify. Square and distribute:

$f(x+2)=(x^2+4x+4)+(5x+10)+6$

Rearrange:

$f(x+2)=(x^2)+(4x+5x)+(4+10+6)$

Combine like terms:

$f(x+2)=(f\circ g)(x)=x^2+9x+20$

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3 years ago

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gtnhenbr [62]

The equation would be 3.75+t=11.2 so:

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t=7.45, which is 7:35.

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3 years ago

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Romashka [77]

Answer:

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3 years ago