Answer:
None
Step-by-step explanation:
Given
Required
Point 2 units from m
There are 4 possible points 2 units from m and they are:
From the graph, we have:
None of the points is 2 units from m
So the tree is 40 ft and then the shadow is 30 so then do 40 -30 = 10 ft difference so then for the second tree do 20 + 10 = 30 ft because the 10 ft difference so the answer is 30 ft tall
Answer: Plan A is less expensive for 50 minutes. About $6 less than Plan B
At 200 minutes, both plans cost $24
Step-by-step explanation:
1.) Look at the numbers for minutes going across the bottom from left to right. Find 50. Follow the grid line up to where the blue line crosses it. (The blue line is lower than the red line so the cost is less.) Look at the numbers on the cost scale to verify the difference if someone asked. Plan A costs $6. Plab B costs $12 for 50 minutes.
2.) Look at where the Red and Blue lines intersect. That is where the plans cost the same amount of money for the same amount of minutes. Follow the grid line down from that point to find the number of minutes.
Answer: try b
Step-by-step explanation:
glad i could help!
Answer:
f(g(x)) = 4x² + 16x + 13
Step-by-step explanation:
Given the composition of functions f(g(x)), for which f(x) = 4x + 5, and g(x) = x² + 4x + 2.
<h3><u>Definitions:</u></h3>
- The <u>polynomial in standard form</u> has terms that are arranged by <em>descending</em> order of degree.
- In the <u>composition of function</u><em> f </em>with function <em>g</em><em>, </em>which is alternatively expressed as <em>f </em>° <em>g,</em> is defined as (<em>f </em> ° <em>g</em>)(x) = f(g(x)).
In evaluating composition of functions, the first step is to evaluate the inner function, g(x). Then, we must use the derived value from g(x) as an input into f(x).
<h3><u>Solution:</u></h3>
Since we are not provided with any input values to evaluate the given composition of functions, we can express the given functions as follows:
f(x) = 4x + 5
g(x) = x² + 4x + 2
f(g(x)) = 4(x² + 4x + 2) + 5
Next, distribute 4 into the parenthesis:
f(g(x)) = 4x² + 16x + 8 + 5
Combine constants:
f(g(x)) = 4x² + 16x + 13
Therefore, f(g(x)) as a polynomial in <em>x</em> that is written in standard form is: 4x² + 16x + 13.
