Answer:
(5, 2 ) and (- 1, 8 )
Step-by-step explanation:
Given the equations
y = - x + 7 → (1)
y = 0.5(x - 3)²
= 0.5(x² - 6x + 9)
y = 0.5x² - 3x + 4.5 → (2)
Substitute y = - x + 7 into (2)
- x + 7 = 0.5x² - 3x + 4.5 ( subtract - x + 7 from both sides )
0 = 0.5x² - 2x - 2.5 ( multiply through by 2 ) , then
x² - 4x - 5 = 0 ← in standard form
(x - 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 5 : y = - 5 + 7 = 2 ⇒ (5, 2 )
x = - 1 : y = -(- 1) + 7 = 1 + 7 = 8 ⇒ (- 1, 8 )
Answer:
18000 ft
Step-by-step explanation:
1 yd = 3 ft
Using conversion factors
6000 yds * 3 ft/ 1 yd = 18000 ft
Period, exponent and 80 because 800 divided by 10 is 80...
Answer:
x = 3
Step-by-step explanation:
given
4(x - 8) + 10 = - 10 ← subtract 10 from both sides
4(x - 8) = - 20 ← divide both sides by 4
x - 8 = - 5 ← add 8 to both sides
x = 3
