The answer is (3, -7). If the function is written in the form y = a(x –
h)^2 + k, the vertex will be (h, k). Let's write the function 8x^2 – 48x
+ 65 in the form of a(x – h)^2 + k. g(x) = 8x^2 – 48x + 65. g(x) = 8x^2
– 48x + 72 - 72 + 65. g(x) = (8x^2 – 48x + 72) - 7. g(x) = (8 * x^2 – 8
* 6x + 8 * 9) - 7. g(x) = 8(x^2 - 6x + 9) - 7. g(x) = 8(x - 3)^2 - 7.
The function is now in the form a(x – h)^2 + k, where a = 8, h = 3, and k
= -7. Thus, the vertex is (3, -7).
Answer:
multiply by
Convert from Convert to
US gpd US gpm cfm IMP gpd IMP gpm
m3/s 22800000 15852 2119 19000000 13200
m3/min 380000 264.2 35.32 316667 220
m3/h 6333.3 4.403 0.589 5277.8 3.67
liter/sec 22800 15.852 2.119 19000 13.20
liter/min 380 0.2642 0.0353 316.7 0.22
liter/h 6.33 0.0044 0.00059 5.28 0.0037
US gpd 1 0.000695 0.000093 0.833 0.000579
US gpm 1438.3 1 0.1337 1198.6 0.833
cfm 10760.3 7.48 1 8966.9 6.23
Imp gpd 1.2 0.00083 0.00011 1
Step-by-step explanation:
googled it
Step 1
Find the common denominator.
5/8 and 1/6---------> would be 2³*3----> 24
step 2
multiply (5/8) by (3/3) and (1/6) by (4/4)
5/8-----> 15/24
1/6-----> 4/24
step 3
find the numbers
4/24+15/24------> 19/24
4/24-15/24-------> -11/24
the answer isthe two numbers are19/24 and -11/24see the attached figure
Answer:
a25 = -134
Step-by-step explanation:
For first term a1 and common difference d, the formula for the n-th term is ...
an = a1 + d(n -1)
You want to evaluate this for n=25, a1=-14, d=-5. Filling in the numbers and doing the arithmetic, you get ...
a25 = -14 -5(25 -1) = -14 -120
a25 = -134
