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DENIUS [597]
3 years ago
6

2. Write and solve an equation to find the value of x. 3.8, 4.2, 5.3, x; mean 4.8

Mathematics
1 answer:
BabaBlast [244]3 years ago
3 0

Answer:

5.9

Step-by-step explanation:

The mean means arithmetic average (some people just say average here).

The average of 4 numbers is the sum of those 4 numbers divided by the number of numbers which is 4 in this case.

So we have this formula:

\frac{3.8+4.2+5.3+x}{4}=4.8

Multiply both sides by 4:

3.8+4.2+5.3+x=4(4.8)

Simplify:

13.3+x=19.2

Subtract 13.3 on both sides:

x=19.2-13.3

Simplify:

x=5.9

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Which expression is equivalent to -1/2 (1/4 x - 3/8). SHOW WORK
Thepotemich [5.8K]

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A. -1/8 x + 3/16

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2 years ago
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
3 years ago
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