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konstantin123 [22]
2 years ago
6

What is the solution to x in 3(x+2)-4x+2=3x+2(x-8)

Mathematics
2 answers:
NeTakaya2 years ago
4 0

Answer:

x=4

Step-by-step explanation:

klio [65]2 years ago
3 0
3(x+2)-4x+2=3x+2(x-8)
3x+6-4x+2=3x+2x-16
3x-4x+6+2=5x-16
-x+8=5x-16
-x-5x=-16-8
-6x=-24 divide both sides by -6 we get
X=4
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Step-by-step explanation:

6 0
2 years ago
can someone pls help me? i have no idea what to do. pls show the work steps for the questions. i will mark u as
tiny-mole [99]

Ok, so the question is based on geometric progression. Remember, the formula for calculating the nth-term of a geometric progression is: a*r^{n-1}. The a in the expression stands for the 1st term of the sequence, and r is the common ratio of the elements of the sequence. Now let's take a look at the problem.

"A ping pong ball has a 75% rebound ration". We can infer that our common ratio, r, is 75% which is 0.75.

"When you drop it from a height of k feet...", this means the first height you drop it from, a.k.a, the first term.

Now going back to the expression, the nth-term = a*r^{n-1}, we can substitute our common ration, 0.75 with r, and our 1st term, k, with a. This becomes: k * 0.75^{n-1}. This becomes our expression.

a. The highest height achieved by the ball after six bounces. Our nth-term here is 6, so let's use our expression to find the 6th term. n_{6} = 235 * 0.75^{6-1} = 235*0.75^{5} = 235*0.2373 = 55.7655ft

b. The total distance travelled by the ball when it strikes the ground for the 12th time. This involves the use of the sum of elements in the geometric progression. The formula for that is \frac{a(1 - r^{n})}{1-r}, provided that r is less than 1, which it is in this case, since 0.75 is less than one. Our nth-term here is 12, so we substitute.

\frac{235(1-0.75^{12})}{(1-0.75)} = 910.2242ft

6 0
2 years ago
What is the justification for each step in the solution of the equation?<br><br> 4(4x+6)−7=77−4x
zepelin [54]

Answer:

20x + 17 = 77    --> Addition Property of Equality:

You are adding (Addition Property) 4x to both sides of the equal sign (Equality).

20x = 60           --> Subtraction Property of Equality:

You subtracted (Subtraction Property) 17 from both sides of the equal sign (Equality).

x = 3                  --> Division Property of Equality:

You divided (Division Property) 20 from both sides of the equal sign (Equality) to completely isolate the variable x.

~

6 0
2 years ago
Which expression can be used to find measure angle R
Novay_Z [31]

Answer:

cos-1(-4/14)

Step-by-step explanation:

If

4.5=r

3.5=s

2=t

By law of cosines:

r^{2}=s^{2}+t^{2}  -2st cosR\\\\CosR= \frac{r^{2} -s^{2} -t^{2} }{-2st}  \\\\R=cos^{-1} (\frac{(4.5)^{2}-3.5^{2} -2^{2}  }{-2(3.5)(2)} )\\R= cos^{-1} (-\frac{4}{14}  )

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