Answer:
y = -9/2 x +5
Step-by-step explanation:
Slope intercept form is y=mx+b
2y = -9x+10
y = -9/2 x +5
The solution is shown in the graph attached.
Explanation:
I am goind to teach you how to get that solution.
1) Restricctions: both x and y cannot be negative, i.e.
x ≥ 0 and y ≥ 0⇒ the solution is on the
first quadrant.2) Using the prices of the tickets, $ 8 for adults, and $ 6 for children, the linear equation for the
costs is: cost = 8x + 6y.3) Since the radio station is willing to spend a
maximum of $ 172 you have the final restriction:
⇒ 8x + 6y ≤ 172.4) Then the solutions that meet the three restrictions (x ≥0, y ≥ 0, and 8x + 6y ≤ 172) is found graphically by drawing the line 8 x + 6y = 172
5) To draw the line 8x + 6y = 172, use the axis intercepts:
x = 0 ⇒ y = 172/6 = 86/3 ⇒ point (0, 86/3)
y = 0 ⇒ x = 172/8 = 86/4 ⇒ point (86/4, 0)
6) Once you have the line you
shade the region that is between the line and the two axis. That region contain of the possible solutions.
Answer:
10
Step-by-step explanation:
distance formula = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}
(x_1, y_1) = (5, 1)
(x_2, y_2) = (-3, -5)
\sqrt{ [(-3) - (5)]^2 + [(-5) - (1)]^2 }
\sqrt{ [-8]^2 + [-6]^2 }
\sqrt{ 64 + 36 }
\sqrt{ 100 }
= 10
Answer:
40 girls
Step By Step Explanation:
assume boys = y girls = x
y = 1/2x + 10
y = 30
30 = 1/2x + 10
1/2x = 20
x = 20 *2 = 40
girls is 40 boys is 30