Answer:
6/5
Step-by-step explanation:
m is your rate of change you need to get y by itself.
3/2x - 15 = 5/4y
3x/2 - 30/2 = 5/4y
3x-30/2 = 5/4y
3x - 30 = 2 x 5/4y
3x - 30 = 2 x 5/4x2y (cross out 2 and 4)
3x - 30 = 5/2y
2 x 3x - 2 x 30 = 2 x 5/4y
6x - 60 = 5y
6x/5 - 60/5 = 5y/5
y = 6/5 x x - 12
Answer: x^2 - 14x + 49
Explanation:
1) Divide the coefficient of x by 2:
14 / 2 = 7
2) so you have to add 7^2 = 49
x^2 - 14x + 49
3) that trinomial is equivalent to:
=> (x - 7)^2
4) prove that using the formula (a - b)^2 = a^2 - 2ab + b^2
(x - 7)^2 = x^2 - 14x + 49
Then you have to add 49 to complete the square. and form a perfect square trinomial.
Answer:
$64
Step-by-step explanation:
After using a 25% discount coupon, they paid 48 for the video game.
It means, <em>which number, decreased by 25%, would give us 48?</em>
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First, 25% to decimal is:
25/100 = 0.25
Now, if we let the original price be "x", we can say:
x decreased by 0.25 of x would give us 48
Translating this to algebraic equation gives us:
x - 0.25x = 48
Now, we solve this:
If they paid full price, the video game would cost $64
I think the answer should be 4.7 but rounded up would be 5
Answer:
Option D -17.5 degrees is correct answer
Step-by-step explanation:
Since a calendar week has 7 days. and temperature is falling by -2.5 daily.
So, On Day 1 Temperature is -2.5 degrees
On Day 2 Temperature is -2.5 + -2.5 = -5 degrees
On Day 3 Temperature is = -5 + -2.5 = -7.5 degrees
On Day 4 Temperature is = -7.5 + -2.5 = -10 degrees
On Day 5 Temperature is = -10 + -2.5 = -12.5 degrees
On Day 6 Temperature is = -12.5 + -2.5 = -15 degrees
On Day 7 Temperature is = -15 + -2.5 = -17.5 degrees
So, Option D -17.5 degrees is correct answer.
