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Lelu [443]
3 years ago
14

Solve for equation for ex in term of c 2/3(x+1/2) - 1/4=5/2

Mathematics
1 answer:
serg [7]3 years ago
4 0

\dfrac{2}{3}\left(x+\dfrac{1}{2}\right)-\dfrac{1}{4}=\dfrac{5}{2}\qquad|\text{use distributive property}\\\\\dfrac{2}{3}x+\dfrac{2}{3}\cdot\dfrac{1}{2}-\dfrac{1}{4}=\dfrac{5}{2}\\\\\dfrac{2}{3}x+\dfrac{1}{3}-\dfrac{1}{4}=\dfrac{5}{2}\qquad|\text{multiply both sides by LCM(2,\ 3,\ 4)=12}\\\\12\cdot\dfrac{2}{3}x+12\cdot\dfrac{1}{3}-12\cdot\dfrac{1}{4}=12\cdot\dfrac{5}{2}\\\\4\cdot2x+4-3=6\cdot5\\\\8x+1=30\qquad|\text{subtract 1 from both sides}\\\\8x=29\qquad|\text{divide both sides by 8}\\\\x=\dfrac{29}{8}

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i just need a little help with this not all questions have to be answered i just want to know how to find it.
Olenka [21]
To find the mean you have to get the average number found by adding all data points and dividing by the number of data points.

Example: The mean of 4, 1, and 7 is (4+1+7)/3 = 12/3 = 4

For median you have to get the middle number which is found by ordering all data points and picking out the one in the middle (or if there are two middle numbers, taking the mean of those two numbers).

Example: The median of 4, 1, and 7 is 4
because when the numbers are put in order (1, 4, 7) the number 4 is in the middle.

To get the mode you have to get the most frequent number which is, the number that occurs the highest number of times.

Example: The mode of {4,2,4,3,2,2} is 2 because it occurs three times, which is more than any other number.

Hope that helps.
3 0
2 years ago
In 3 hours , a car travels 120 miles. What’s is the speed of the car?
atroni [7]
40 because you would divide the miles by hours to find the rate of change. 

120/3= 40
7 0
3 years ago
Read 2 more answers
PLEASE HELP ME!! DUE IN 10 MINS!! WILL MARK BRAINLYEST!!
bazaltina [42]
The answer is B
Hope it helps
8 0
2 years ago
What is the 32nd term of the arithmetic sequence where<br> a1 = 14 and a13 = -58?
liq [111]
The nth term of an arithmetic sequence is found from:
n_{th}\ term=a+(n-1)d
Plugging in the given values, we get for the 13th term:
-58=14+12d
12d =-58 - 14 = -72
d = -6
So, the 32nd term is:
a_{32}=14+(32-1)-6=-172
5 0
3 years ago
Write an equation in standard form of the parabola that has the same shape as the graph of f(x)=5x^2or g(x)=-5x^2, but with a gi
pickupchik [31]
F(x)=5x^2 Has minimum (0,0)

g(x) = f(x) + 2 Shifts the graph two units up, then the minimum is 2+0=2.

h(x) = g(x+4) Shifts the graph four units left,  then the minimum is at 0-4 = -4.

Then h(x) = 5(x+4)^2 + 2 has the minimum (-4,2)

And p(x) = -5(x+4)^2 + 2 has the maximum (-4,2)
 
4 0
3 years ago
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