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2 years ago

11

prestige builders has a development of new homes.there are four different floor plans,seven exterior colors,and an option of eit

her a two car or a three-car garage. How many choice are there for one home?

1 answer:

NeX [460]2 years ago

5 0

Answer:

there are 56 choices for one home

Step-by-step explanation:

plz give brainliest :)

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PLEASE HELP (30 POINTS) Solve the rational equation x/3 = x^2/x + 5 , and check for extraneous solutions.

anygoal [31]

Option C: $x=0$ and $x=\frac{5}{2}$ are the solutions.

Explanation:

The equation is $\frac{x}{3} =\frac{x^{2} }{x+5}$

We shall determine the value of x, by simplifying the equation.

$\begin{aligned} x(x+5) &=3 x^{2} \\ x^{2}+5 x &=3 x^{2} \\ 2 x^{2}-5 x &=0 \\ x(2 x-5) &=0 \end{aligned}$

Thus, $x=0$ and $x=\frac{5}{2}$ are the solutions.

Now, let us check whether the solutions are extraneous solutions.

Let us substitute $x=0$ in the original equation to check whether both sides of the equation are equal.

$\begin{aligned}&\frac{0}{3}=\frac{0^{2}}{0+5}\\&0=\frac{0}{5}\\&0=0\end{aligned}$

Thus, both sides of the equation are equal.

Hence $x=0$ is a true solution.

Now, Let us substitute $x=\frac{5}{2}$ in the original equation to check whether both sides of the equation are equal.

$\begin{aligned}\frac{\left(\frac{5}{2}\right)}{3} &=\frac{\left(\frac{5}{2}\right)^{2}}{\left(\frac{5}{2}\right)+5} \\\frac{5}{6} &=\frac{\left(\frac{25}{4}\right)}{\left(\frac{15}{2}\right)} \\\frac{5}{6} &=\frac{5}{6}\end{aligned}$

Thus, both sides of the equation are equal.

Hence, $x=\frac{5}{2}$ is a true solution.

Thus, solutions are not extraneous.

Hence, Option C is the correct answer.

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3 years ago

Divide using any method. .<br> -3.23 + 4x2 + 2x – 5)<br> 2

stepladder [879]

Answer:

Step-by-step explanation:

-3x^2 --2x--2 -- 9/x--2

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3 years ago

Russia has recently started a push for stronger smoking regulations much like those in western countries concerning cigarette ad

Blababa [14]

Answer:

a) 0.46

b) (2341.39, 3230.61)

c) For those Russians who do smoke, estimate the number of cigarettes smoked per day.= 23

Step-by-step explanation:

check below for more detailed solution

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3 years ago

(12. Which of the following is true about the data set {3,5, 5, 7,9}?

liubo4ka [24]

Answer:

A . because on the data set we already have the median then we use range which is max -min

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3 years ago

Dillon deposited 3/4 of his paycheck into the bank. The deposit slip shows how much he deposited. ($46.50) Weite and solve an eq

Sliva [168]

3/4 is 75%. So 0.75x = $46.50, x = $62.00

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2 years ago