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 )
The answer is no ... Thats the correct answer
Employee statement is the correct answer
Answer:
look at graph attached
Step-by-step explanation:
it is moved 4 down from the parent function
Step-by-step explanation:
I'm not sure what you need help with, since what you have written down is correct. However, if you are looking for an explanation, here it is:
x + 5 < -2
To solve for x, we have to get x on one side by itself. Whatever you do to one side, you have to do to the other. Let's get rid of 5 to get x by itself.
x + 5 < -2 (Subtract 5 from both sides)
x < -7
Perfect! Basically what this is saying, is that all the values x can equal have to be less than -7. The sign < means less than.
For the signs < (less than) and > (greater than), we use an open circle.
For the signs ≤ (less than or equal to) and ≥ (greater than or equal to), we use a closed circle.
This is why we use an open circle for this example since x is LESS THAN -7.
The arrow is pointing to the left because these numbers are less than -7.
