9514 1404 393
Answer:
g(f(x)) = 6x^2 -2
Step-by-step explanation:
Evaluate the expression using the given argument value.
g(f(x)) = g(2x^2 +1) = 3(2x^2 +1) -5
= 6x^2 +3 -5 = 6x^2 -2
__
g(f(x)) = 6x^2 -2
Let's factor x^2−22x+121
The middle number is -22 and the last number is 121. Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks? We need two numbers that...
Add together to get -22
Multiply together to get 121
Can you think of the two numbers?
Try -11 and -11:
-11+-11 = -22
-11*-11 = 121
Fill in the blanks in
(x+_)(x+_)
with -11 and -11 to get...
(x-11)(x-11)
Answer: (x-11)(x-11)
Hope this helps!!!
Answer:
65.7 mg/l.
Step-by-step explanation:
Answer:
A. 65.7 mg/l.
B. iv. No. The average chlorine compound concentration (mg/l) is too high.
Step-by-step explanation:
Given:
Outflow = 36%
= 36 l in 100 l of wetland
Seepage = 47%
= 47 l in 100 l of wetland
Evaporates = 8%
= 8 l in 100 l of wetland
Water volume = 9%
= 36 l in 100 l of wetland
Outflow = 53.6 mg/l
Seepage = 73.9mg/l
Remaining due to evaporation = 57.0mg/l
Water volume = 74.0 mg/l
Concentration of Chlorine compounds:
Outflow = 36/100 * 53.6
= 19.3 mg/l of outflow chlorine in the wetlands.
Seepage = 47/100 * 73.9
= 34.73 mg/l of seepage chlorine in the wetlands.
Evaporates = 8/100 * 57
= 4.56 mg/l of evaporates chlorine in the wetlands.
Water volume = 9/100 * 74
= 6.66 mg/l of outflow chlorine in the wetlands.
Weighted average concentration of chlorine compounds in 100 l of wetland = total(X*W)/totalW
Where,
Total w = 0.36 + 0.47 + 0.08 + 0.09
= 1
Total X*W = 19.3 + 34.73 + 4.56 + 6.66
= 65.65/1
= 65.7 mg/l.
Amount of blue paint = 1.24 x 3
= 3.72
amount of blue paint in each container = 3.72/5
= 0.744
0.744 litres of blue paint is in each container.
Answer:
Remainder would be
Step-by-step explanation:
Given,
Dividend =
Divisor =
Using long division ( shown below ),
We get,
Therefore,
Remainder would be