Answer:
Equation: y = x²
Equation: f(x) = 2(x + 1)² - 1
Step-by-step explanation:
Equation: y = x²
- when x = -2, y = (-2)² = 4 ⇒ (-2, 4)
- when x = 0, y = (0)² = 0 ⇒ (0, 0)
- when x = 2, y = (2)² = 4 ⇒ (2, 4)
Equation: f(x) = 2(x + 1)² - 1
f(-2) = 2(-2 + 1)² - 1
= 2(-1)² - 1
=2(1) - 1
= 1
Therefore, (-2, 1)
f(0) = 2(0 + 1)² - 1
= 2(1)² - 1
=2(1) - 1
= 1
Therefore, (0, 1)
f(2) = 2(2 + 1)² - 1
= 2(3)² - 1
=2(9) - 1
= 17
Therefore, (2, 17)
Answer:
6
Step-by-step explanation:
scale factor is 0.25
so
∴ x = 1.5 ÷ 0.25 = 6
<span>The correct answer is that y does not vary directly with x.
Explanation<span>:
If y varies directly with x, this means that it would fit the equation y=kx for every point in the set.
For the first point, we would have 11=7k; this would mean that k=11//7.
For the second point, we would have 13=8k; this would mean that k=13/8.
Checking using proportions shows us that 11/7 does not equal 13/8:
cross multiply, and you have 11*8=7*13, or 88=91.
This is not true, so k is not a constant, and y does not vary directly with x.</span></span>
For Kohl’s:
Purchase Price:
$60
Discount:
(60 x 25)/100 = $15.00
Final Price:
60 - 15.00 = $45.00
You would save $15.00 from Kohl’s and pay only $45.00
For Target:
Purchase Price:
$38
Discount:
(38 x 15)/100 = $5.70
Final Price:
38 - 5.70 = $32.30
You would save $5.70 from Target and pay only $32.30
Hope this helps! :)
