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2 years ago

3x + 2y = 9

1 answer:

3 0

You would plug it in, so where there is a y in the first equation you will plug in the second equation, so it would become 3x+2(x-3)=9 and then solve. First you would distribute and get 3x+2x-6=9, then combine like terms and get 5x-6=9, then add 6 to both sides and get 5x=15, then divide both sides by 5 and get x=3

The answer is x=3

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Find the positive value of x in the geometric sequence 7x-2,4x+4,3x

Goryan [66]

Hello,

Let's assume k the ratio.

$
 \left \{ {{3x=k*(4x+4)} \atop {4x+4=k*(7x-2)}} \right. \\\\
 \left \{ {{3x-4kx=4k} \atop {4x-7kx=-2k-4}} \right. \\\\
 \left \{ {{x(3-4k)=4k} \atop {x(4-7k)=-2k-4}} \right. \\\\
 \left \{ {{x=\dfrac{4k}{3-4k} \atop {x=\dfrac{-2k-4}{4-7k} \right. \\\\

\dfrac{4k}{3-4k}=\dfrac{-2k-4}{4-7k}\\\\

36k^2-6k-12=0\\
6k^2-k-2=0\\

\boxed{k= \dfrac{2}{3} \ or\ k= -\dfrac{1}{2}}\\\\

x=\dfrac{4*\dfrac{2}{3} }{3-4*\dfrac{2}{3} }=8\\
x=\dfrac{4*\dfrac{-1}{2} }{3-4*\dfrac{-1}{2} }=-\dfrac{2}{5}\\





$

$\boxed{x= 8 \ or\ x= -\dfrac{2}{5}}\\\\$

5 0

2 years ago

What is 304,001 in expanded form

soldi70 [24.7K]

If you mean exponential it would be 3.04001*10^5

8 0

3 years ago

A cube with a volume of 75 cm is dilated bya factor of 5.

denis-greek [22]

Answer:

The volume of the dilated cube is 9375cm³. The volume of the original cube is 75 cm³. The scale factor for the dilation is 5. We multiply the volume of the original cube by 125 to obtain the volume of the dilated cube.

Step-by-step explanation: If thats

not right, then i am sorry, i am just getting started

7 0

3 years ago

Write the ratio in simplest form 20:10

Mnenie [13.5K]

20:10 | 2:1 | Hope this helps

4 0

3 years ago

Read 2 more answers

The denominator of a fraction is 3 more than its numerator. If 2 is added to both the numerator and the denominator, the 2 new f

Julli [10]

Answer:

4/7

Step-by-step explanation:

Using the hint, we have an original fraction of x/(x+3). The given manipulations and relations can be used to find the value of x, and the original fraction.

<h3>adding 2 to each term</h3>

The new fraction is ...

$\dfrac{x+2}{(x+3)+2}=\dfrac{x+2}{x+5}\\$

<h3>new value</h3>

Apparently, the new value of this fraction is 2/3. We can use this to find the value of x.

$\dfrac{x+2}{x+5}=\dfrac{2}{3}\\\\3(x+2)=2(x+5)\qquad\text{multiply by $3(x+5)$}\\\\3x+6=2x+10\qquad\text{eliminate parentheses}\\\\x=4\qquad\text{subtract $2x+6$}$

The original fraction is ...

4/(4+3) = 4/7

_____

<em>Alternate solution</em>

In the ratio 2/3, the numerator is twice the difference between the denominator and numerator. 2 = 2(3 -2)

The problem statement tells us the difference between the numerator and denominator is 3. That is not changed by adding the same number to each. This means the fraction equivalent to 2/3 is (2·3)/(3·3) = 6/9. Subtracting 2 from each of the numerator and denominator gives the original fraction:

(6-2)/(9-2) = 4/7

7 0

2 years ago