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
Answer:
y intercept is 13
Step-by-step explanation:
y - 3 = 2(x + 5)
To find the y intercept, let x=0 and solve for y
y - 3 = 2(0 + 5)
y - 3 = 2(5)
y -3 =10
y-3+3 = 10+3
y = 13
Answer:
75
Step-by-step explanation:
The mode is the number that appears most often. Because 75 appears twice and the other numbers only appear once, it is the most used number.
Answer:
139 ft
Step-by-step explanation:
So the zip line forms a right triangle. The height of the triangle is 150 ft, and the opposite angle is 40°. The horizontal distance covered by the zip liner can be found with trigonometry, specifically with tangent.
tan 40° = 150 / x
x = 150 / tan 40°
x ≈ 179 feet
But this includes the 40 ft long body of water, so the amount of ground covered is:
179 ft - 40 ft = 139 ft
Answer:
So the total is 400 and then you have 4 servings
so 400/4 = 100 cal per serving
