The correct answer is 10.
In order to evaluate any composite function, you need to first put the value in for the inside function. In this case f(x) is on the inside along with the number 3. So, we input 3 in for x in f(x).
f(x) = 2x + 1
f(3) = 2(3) + 1
f(3) = 6 + 1
f(3) = 7
Now that we have the value of f(3), we can stick the answer in for the outside function, which is g(x).
g(x) = (3x - 1)/2
g(7) = (3(7) - 1)/ 2
g(7) = (21 - 1)/2
g(7) = 20/2
g(f(3)) = 10
Answer:
<h3>The answer is option A</h3>
Step-by-step explanation:
Surface area of a pyramid =
area of base + area of triangular faces
Since it's a square based pyramid
It's surface area is
area of base + 4( area of one triangular face)
Since the square has equal sides
<u>For square base </u>
Area of a square = l²
where l is the length
From the question l = 5
So we have
Area of square base = 5² = 25ft²
<u>For one of the triangular face</u>
Area of a triangle = ½ × base × height
base = 5
height = 6
Area = ½ × 5 × 6 = 15ft²
So the surface area of the pyramid is
25 + 4(15)
= 25 + 60
We have the final answer as
<h3>Surface area = 85 ft²</h3>
Hope this helps you
Answer:
<em>The gold vein is 96 miles away from the farthest gold dust strike.</em>
Step-by-step explanation:
<u>Distance Between two Points in the Plane
</u>
Given two points A(x,y) and B(w,z), the distance between them is:
The prospector positioned the gold vein at (-2,9) and the farthest gold dust strike at (94,9). We are required to calculate the distance between these two points. Use the formula:
The distance is 96 units, but we know each unit on the graph represents 1 mile, thus the gold vein is 96 miles away from the farthest gold dust strike.
Area of a rectangular lawn = l×b
255=15×x
Hence the breadth is 17 m
Hence perimeter =2(l+b)=2(15+17)=64
Answer:
we can make 5 servings of spice rub from 10 table spoons of onion powder
Step-by-step explanation:
Given the data in the question;
2 table spoon of onion powder makes one serving of spice rub.
Total table spoons of onion powder available = 10
So Let x represent the number of servings of spice rub we can make from our 10 table spoons of onion powder ;
2 table spoons = 1 servings
10 table spoons = x servings
we cross multiply;
x servings × 2 table spoons = 10 table spoons × 1 servings
x servings = ( 10 table spoons × 1 servings ) / 2 table spoons
x = 10 / 2
x = 5 servings
Therefore, we can make 5 servings of spice rub from 10 table spoons of onion powder
