Answer:
The minimum value = -38
Step-by-step explanation:
∵ f(x) = x² - 12x - 2
∵ -12x ÷ 2 = -6x ⇒ -6 × x
∴ (x - 6)² = x² - 12x + 36
∴ Add and subtract 36 in f(x)
∴ f(x) = (x² - 12x + 36) - 36 - 2
∴ f(x) = (x - 6)² - 38 ⇒ completing square
∴ The vertex of the parabola is (6 , -38)
∵ Its minimum point because the coefficient of x² is positive
∴ The minimum value = -38
For this you would want to break this figure up with familar shapes. You can do two triangles and one big rectangle.
First triangle:
(3)(2)(1/2)= 3 feet squared
Second Triangle:
(3)(4)(1/2)= 6 feet squared
Rectangle:
(11)(3)= 33 feet squared
Now you add:
33+3+6= 42 feet squared
So, for this hole you will need 42 feet squared of outdoor carpet
Answer:
<u>1/π²</u>
Step-by-step explanation:
On multiplying π² by its inverse value, you get the answer to be <u>1</u>, which has no decimal points.
1954 to 2015 = 61 years
310,000 = x*(1.22)^61
where x i original price
x = 310,000 /
<span>
<span>
<span>
185,33</span></span></span>2
x = <span><span><span>1.67
Original price = 1.67 which seems a little high, but that's my answer.
x = </span></span></span><span><span>12.22
</span> </span>
Answer:
B. 203.403
Step-by-step explanation:
2 times 100 = 200
3 times 1 = 3
4 times 1/10 = 0.4
3 times 1/1000 = 0.003
200 + 3 = 203
203 + 0.4 = 203.4
203.4 + 0.003 = 203.403
