I'm pretty sure its 5, because theres 15 on the one side and 10 on the other and the <em><u>?</u></em><em><u> </u></em> side would be 5 then.
4x² + 2x - 30 = 0
<span>
factor out the GCF:
</span>2(2x² + x - 15) = 0
<span>
factor the trinomial completely:
2x</span>² + x - 15 = 0
2x² + 6x - 5x - 15 = 0
2x(x + 3) - 5(x + 3) = 0
(2x - 5)(x + 3) = 0
<span>use the zero product property and set each factor equal to zero and solve:
2x - 5 = 0 or x + 3 = 0
2x = 5 x = -3
x = 2.5
</span><span>The roots of the function are x=-3, x=2.5</span>
Answer:
72 pi + 48 pi= 120pi (not sure if I am right tho)
Step-by-step explanation:
Answer:
(0,-9)
Step-by-step explanation:
The image of a point
over a line
is given by the co-ordinate rule:
→ 
So, when we reflect a point over the line
, the x co-ordinate and y co-ordinate change their places.
Here,
is
. So, from the above rule, after reflection over the line
, the image has the following co-ordinates:

Answer: 0.9332.
Step-by-step explanation:
Claim : College Algebra final exam score of engineering majors equal to 88.
Given that : The test statistic is z equals to 1.50.
To find the p-value (Probability value), we use standard normal distribution table, and search the p-value corresponds to the z-score.
In a Standard Normal Distribution Table below, the p-value corresponds z equals 1.5 is 0.9332.
Hence, the p-value is 0.9332.