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:
54 sq units
Step-by-step explanation:
The triangle at the top (FAB) has a base of 10 and a height of 3. Area of triangle is 1/2bh so 1/2(10 * 3) = 1/2 * 30 = 15 sq units
If you cut off the triangle you have a trapezoid, EBCD. A trapezoid is (b1 + b2)/2 * h, so (6 + 7)/2 * 6 = 13/2 * 6 = 6.5 * 6 = 39 sq units
Add them together: 15 + 39 = 54 sq units
Answer:
Below in bold.
Step-by-step explanation:
No repetition.
There are a total of 7 numbers.
For the number to be even it must end in 0, 2 or 8.
The other 3 numbers will be the number of permutations of 3 from the 6 other numbers.
Number of 4 digit numbers ending in 0
= 6P3 = 6! / 6-3!
= 120.
Now the number could also end in 2 or 8,
so there are 3*120 = 360 4-digit even numbers (no repetition).
With repetition.
There are 3 * 7^3 = 1029 with repetition.
