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
Step-by-step explanation:
A = pi × r²
A = pi × 13²
A = 530.93 km²
Answer:
1. he can go up to 4 rides
2. she can buy 3 flowers
Step-by-step explanation:
1. 19 >= 5+ 3x
19 - 5 >= 3x
14 >= 3x
If you solve this you can get 4 and balance 2
2. 40 >= 2 + 11x
38 >= 11x
If you solve this you can get 3 and balance 5
Answer:
When x = 12, y = 4, and z = 2, 8x + 2yz = 112.
Step-by-step explanation:
8x + 2yz
Substitute variables given:
x = 12
y = 4
z = 2
8(12) + 2(4)(2)
Multiply 8 and 12.
96 + 2(4)(2)
Multiply 2 and 4.
96 + 8(2)
Multiply 8 and 2.
96 + 16
Add 96 and 16.
112.
Answer: C. 100
Step-by-step explanation:
If the large tank is flowing at a constant rate of -6 per minute then we have to know that the water is moving from the tank. So is asking how many water will be left in the tank after 25 minutes.
You could use the equation
y = -6x + 250 where y is the amount of water left in the tank and x is the number of minutes.
So if x is 25 then plot it in and solve for y.
y = -6(25) +250
y = -150 +250
y= 100
