Answer:
Step-by-step explanation:
those angles are congruent because they are vertical angles
6x+4 = 58 ; subtract 4 from both sides
6x = 58-4 ; combine like terms
6x = 54; divide both sides by 6
x= 9
Table A represents a function if I read the way you have it typed correctly! hope this helps
Answer:
NUMBER 2) x>_3/7
Step-by-step explanation:
-2(2-2x)-4(x+5) is less than or equal to -24
-2(2-2x)-4(x+5) <_ -24 Divide the expression by the #'s outside the ()
2-2x+x+5>_-3 This is the quotient from dividing it by -8 (-2 and -4)
(when you divide by a negative number, the signs flip)
7-x>_-3 Now, divide both sides by 7
-x>_-3/7 If you want, convert to a decimal. Lastly, divide by -1
x>_3/7
Step-by-step explanation:
Angle a and b are on a straight line and add up to 180
9514 1404 393
Answer:
$880
Step-by-step explanation:
If r is the rent charged, then the number of $40 increments of increase will be ...
(r -800)/40
and the number of occupied apartments will be ...
120 -5(r -800)/40
The gross income (g) will be the number of apartments times the rent charged, or ...
g = r×(120 -5(r -800)/40) = (1/8)r(1760 -r)
The equation describes a parabola with zeros at r=0 and r=1760. The vertex will be on the line of symmetry, halfway between those zeros. The maximum gross income will be had when the rent is 1760/2 = 880.
$880 should be charged for rent to maximize gross income.