Answer:
(f o g)(4)=27
Step-by-step explanation:
(f o g)(4)=2x+5
f(g(4))=2x+5
f(4²-2(4)+3)=2x+5
f(16-8+3)=2x+5
f(8+3)=2x+5
f(11)=2x+5
f(11)=2(11)+5
f(11)=22+5
f(11)=27
Therefore, (f o g)(4)=27
First write out your original equation.
Then use the law of exponents(power of a power) to simplify.
(Multiply the numerator and denominator exponents by the outside power.)
The answer is 4 to the 21st over 5 to the 6th.
Answer:
126 square inches
Step-by-step explanation:
The area of the figure = area of the parallelogram + area of the square + area of the rectangle
✔️Area of the parallelogram = b*h
b = 10 in.
h = 3.5 in.
Area = 10*3.5
Area = 35 in.²
✔️Area of the square = s²
s = 4 in.
Area = 4²
Area = 16 in.²
✔️Area of the rectangle = L*W
L = 12.5 in.
W = 6 in.
Area = 12.5*6
Area = 75 in.²
✅Area of the figure = 35 + 16 + 75
= 126 in.²
Answer:
You are given:
4Fe+3O_2 -> 2Fe_2O_3
4:Fe:4
6:O_2:6
You actually have the same number of Fe on both sides, The same is true for O_2 so yes this equation is properly balanced.
For added benefit consider the following equation:
CH_4+O_2-> CO_2+2H_2O
ASK: Is this equation balanced? Quick answer: No
ASK: So how do we know and how do we then balance it?
DO: Count the number of each atom type you have on each side of the equation:
1:C:1
4:H:4
2:O:4
As you can see everything is balanced except for O To balance O we can simply add a coefficient of 2 in front of O_2 on the left side which would result in 4 O atoms:
CH_4+color(red)(2)O_2-> CO_2+2H_2O
1:C:1
4:H:4
4:O:4
Everything is now balanced.
Step-by-step explanation:
(5,-3)(7,3)
slope = (y2 - y1) / (x2 - x1)
slope = (3 - (-3) / (7 - 5) = (3 + 3) / 2 = 6/2 = 3 <==
