1. 6 times 6 = 36 cm
2. 9 times 11 = 99 yd
3. 1/2(13)(8+3)
6.5(11)
71.5 ft
4. 12 times 4 = 48 m
5. 5 times 3 = 15 in
6. 8 times 4 = 32 mm
7. 1/2(8)(10+2)
4(12)
48 yd
8. 4 times 4 = 16 cm
9. 12 times 15 = 180 in
A function is a expression that defines a relationship between one variable and another variable
Answer:
whole milk 4 ---------------- 32 ounces
skim milk 0 ---------------- x ounces
Mixture 2.5 ---------------- 32 + x ounces
4*32+0x =2.5(32 +x)
128+0x= 80+2.5 x
0 x + -2.5 x = 80 - -128
-2.5 x = -48
/ -2.5
x = 19.2
19.2 ounces of 0 % fat skim milk
The answer is B because its going 90m/s and and in 2 seconds its traveled 180 meters which if you add to 60 gives you 240
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.
