Answer:
The function of g(x) = 5x + 2
Step-by-step explanation:
Let us use the composite function to solve the question
∵ f(x) = 2x - 1
∵ f(g(x)) = 10x + 3
→ f(g(x)) means substitute x in f(x) by g(x)
∴ f(g(x)) = 2[g(x)] - 1
→ Equate the two right sides of f(g(x))
∴ 2[g(x)] - 1 = 10x + 3
→ Add 1 to both sides
∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1
∴ 2[g(x)] = 10x + 4
→ Divide each term into both sides by 2
∵ ![\frac{2[g(x)]}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Bg%28x%29%5D%7D%7B2%7D)
= 
+ 
∴ g(x) = 5x + 2
∴ The function of g(x) = 5x + 2
The area of the mat is 42.67 inches^2 or 42 and 2/3 in^2
Answer:
8/15
Step-by-step explanation:
(2/5)/(3/4)=(2/5)(4/3)=8/15
Solution:
<u>A few tips...</u>
- Tip-1: If "+" and "-" are multiplied, it gives a result of "-".
- Tip-2: If "-" and "-" are multiplied, it gives a result of "+".
- Tip-3: If "+" and "+" are multiplied, it gives a result of "-".
<u>Changing the sign of the given equation.</u>
- 1.25 + (-0.75)
- => 1.25 - 0.75 [Sign changes according to tip-1.]
This could only mean that the arrow would go to <u>1.25 units forward.</u> Then a second arrow will be drawn to go <u>0.75 units back.</u>
The graph that matches with the above info is Option C.
Answer:
V = πr³ + 2πr²
Step-by-step explanation:
Volume of a cylinder:
V = πr²h
with radius r and height h = 2 + r:
V = πr²(2 + r) = πr³ + 2πr²
