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:
3rd graph
Step-by-step explanation:
3m ≥ 21 whenever you see '≤ or ≥' then you know the circle must be filled
divide each side by 3 to isolate 'm':
m ≥ 7 This inequality, when graphed, should have a closed circle on the number 7 and the shading would be to the right because the symbol is indicates all values "greater than" 7
Answer:
its the same as 48
Step-by-step explanation:
Answer:
don't know the answer good luck
Step-by-step explanation:
Just need the points
Answer:
Your x-intercepts are (1, 0) and (5, 0)
Step-by-step explanation:
Factor out the expression:
factors out to 
Because this factored out form is now in intercept form, we can solve that the two intercepts are (1, 0) and (5, 0).
