-3(6x+5)-2(1-17x)=3(5+5x)
Mutiply the first bracket by -3
(-3)(6x)= -18x
(-3)(5)= -15
Mutiply the second bracket by -2
(-2)(1)= -2
(-2)(-17x)= 34x
Mutiply the third bracket by 3
(3)(5)= 15
(3)(5x)= 15x
-18x-15-2+34x= 15+15x
-18x+34x-15-2= 15+15x
16x-17= 15+15x
move 15 to the other side
sign changes from +15 to -15
16x-17-15= 15-15+15x
16x-32= 15x
move -32 to the other side
sign changes from -32 to +32
16x-32+32=15x+32
16x= 15x+32
move 15x to the other side
sign changes from +15x to -15x
16x-15x=15x-15x+32
x= 32
Answer: x= 32
Answers:
- a) Mean = 20.4
- b) New mean = 20
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Explanation:
To get the mean, we add up the scores and divide by 10 (because there are 10 scores at first)
28+13+4+12+32+22+13+22+26+32 = 204
204/10 = 20.4
The mean is 20.4
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For part b), we redo those steps shown above, but tack 16 onto the list. So we'll add up all the values (including that 16 at the end) and divide by 11 this time.
28+13+4+12+32+22+13+22+26+32+16 = 220
220/11 = 20
The new mean is 20.
The new mean is slightly smaller than the old mean. Notice how 16 is smaller than 20.4, so this new score pulls down the mean just a little bit.
Answer:
-5/8h + 7
Step-by-step explanation:
First you need to combine like terms (1/8h and -3/4h)
So 1/8h - 3/4h is -5/8h
Then we have our 7 left over
So the answer is -5/8h + 7
Answer: x = -7
Step-by-step explanation:
x = -7 will be a vertical line passing through all y values, and perpendicular to y = 5
The attached graph shows the lines and the point.
