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:
Given [Missing details]
Spencer's expenses
Required:
An estimate for the amount spent on clothing
To do this, simply multiply the clothing percentage by the total amount.
Approximate
Answer:
the area to the kite is sixty-four
Step-by-step explanation:
multiply the width to the height
Answer:
1. y = x + 7
Step-by-step explanation:
Find the slope
Choose two points and find the slope using rise/run
(1,8) (2,9)
9-8/2-1
1/1 = 1 = m (slope)
Find b using the slope and one point
m=1 (1,8)
8 = 1 (1) + b
8 = 1 + b
7 = b
Fill in m and b into y = mx + b
y = 1x + 7
