Answer:
B. (1,5) and (5.25, 3.94)
Step-by-step explanation:
The answer is where the 2 equations intersect.
We need to solve the following system of equations:
y = -x^2 + 6x
4y = 21 - x
From the second equation:
x = 21 - 4y
Plug this into the first equation:
y = -(21 - 4y)^2 + 6(21 - 4y)
y = -(441 - 168y + 16y^2)+ 126 - 24y
y = -441 + 168y - 16y^2 + 126 - 24y
16y^2 + y - 168y + 24y + 441 - 126 = 0
16y^2 - 143y + 315 = 0
y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)
y = 5, 3.938
When y = 5:
x = 21 - 4(5) = 1
When y = 3.938
x = 21 - 4(3.938) = 5.25.
Answer:
Step-by-step explanation:
OS ≅ OU, so we will set those 2 expressions equal to each other and solve for y:
6y = 42 so
y = 7
Same goes for OT and OV:
x + 5 = 23 so
x = 18 and
SU = 84
Answer:
B
Step-by-step explanation:
- He adds 5 coins each month
- x represents the number of months
>60 means greater than 60
So the inequality would be 30 + 5x > 60
Answer:
Step-by-step explanation:
20/6 - 4/6= 16/6= 2 4/6= 2 2/3
Answer:
Option B is correct.
is equivalent to 
Step-by-step explanation:
Given expression: 
Using exponents power:
Given:
Apply exponent power :
⇒ 
⇒ 
⇒
Therefore, the expression which is equivalent to
is, 