Y=<span>5 is your answer. Hope this helps :)</span>
Answer:
team loss after three games is 5.
Step-by-step explanation:
we will use positive sign for gain and negative sign for loss.
Given
Jim's team gained 7 yards on the first play
gain of yards = +7
lost 2 yards on the second play
loss of yards = -2
lost 10 yards on the third play
loss of yards = -10
Total yards gain or lost by Jim's team = +7 + (- 2) + ( - 10)
Total yards gain or lost by Jim's team = +7 -2 -10 = -5
sine sign is negative, it means there is loss and the net loss is 7 yards.
Thus, team loss after three games is 5.
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.
Answer:
b
Step-by-step explanation:
i took the test
Answer:
<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>5</u></em></h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>,</u></em>
Perimeter of a triangle = 75
One side of the triangle = 5x
<em><u>Therefore</u></em><em><u>, </u></em>
<em><u>By</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>problem</u></em><em><u>, </u></em>
5x + 5x + 5x = 75
=> 15x = 75
=> x = 75/15
=> <em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>5</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>