x=6
if you multiply 4 by whats inside the parenthesis you get 5x+16x+44=170
next combine like terms and get 21x+44=170
next subtract 44 from itself and 170 to get 21×=126
finally divide 21 from both sides and you get x=6
hope this helps!
Answer:
P(x)=-2x^2+34x+98
The cost function is given by c(x)=21x-98
And the revenue function is given by r(x)=55x-2x^2
The profit function is the difference of revenue function and the cost function. Mathematically, we can write
p(x)=r(x)-c(x)
Substituting the values, we get
p(x)=55x-2x^2-(21x-98)
p(x)=-2x^2 + 34x = 98
Therefore, the profit function is
p(x) = -2x^2 + 34x + 98
Step-by-step explanation:
General Idea:
The angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The theorem says that when the lines are parallel, that the alternate interior angles are equal.
Applying the concept:
Angles PBC and BAD are congruent by the <u>Corresponding Angle Theorem</u>.
Angles ABC and BAT are congruent by the <u>Alternate Interior angle Theorem</u>.
Answer:
Step-by-step explanation:
MARK BRAINLIEST PLEASE ☺️☺️
First you multiply 20 by .15 and you get 3. Subtract 3 by 20 and you get 17. Now multiply $17 by 30 and you get 510. She spent $510 on 30 calculators
In one U.S cup, there are 236.588 milliliters. (No such thing as milli"meters" in a cup).