Answer:
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Step-by-step explanation:
To solve the given equation, you would need to multiply t by both terms inside the parenthesis.
The equation would be D. (t*14) - (t*5)
Answer:
b = 15.75
Step-by-step explanation:
Lets find the interception points of the curves
36 x² = 25
x² = 25/36 = 0.69444
|x| = √(25/36) = 5/6
thus the interception points are 5/6 and -5/6. By evaluating in 0, we can conclude that the curve y=25 is above the other curve and b should be between 0 and 25 (note that 0 is the smallest value of 36 x²).
The area of the bounded region is given by the integral

The whole region has an area of 250/9. We need b such as the area of the region below the curve y =b and above y=36x^2 is 125/9. The region would be bounded by the points z and -z, for certain z (this is for the symmetry). Also for the symmetry, this region can be splitted into 2 regions with equal area: between -z and 0, and between 0 and z. The area between 0 and z should be 125/18. Note that 36 z² = b, then z = √b/6.

125/18 = b^{1.5}/9
b = (62.5²)^{1/3} = 15.75
Answer:
2 x^2 - 3 x + 6
Step-by-step explanation:
Simplify the following:
-(3 x^2 + 4 x - 17) + 5 x^2 + x - 11
-(3 x^2 + 4 x - 17) = -3 x^2 - 4 x + 17:
-3 x^2 - 4 x + 17 + 5 x^2 + x - 11
Grouping like terms, 5 x^2 - 3 x^2 + x - 4 x - 11 + 17 = (5 x^2 - 3 x^2) + (x - 4 x) + (-11 + 17):
(5 x^2 - 3 x^2) + (x - 4 x) + (-11 + 17)
5 x^2 - 3 x^2 = 2 x^2:
2 x^2 + (x - 4 x) + (-11 + 17)
x - 4 x = -3 x:
2 x^2 + -3 x + (-11 + 17)
17 - 11 = 6:
Answer: 2 x^2 - 3 x + 6