Answer:
y = 1/2x -3
Step-by-step explanation:
The slope of the given line is the x-coefficient: -2. The slope of the perpendicular line is the negative reciprocal of this:
-1/(-2) = 1/2
The only answer choice with a slope of 1/2 is ...
y = 1/2x -3
Answer:
12 eggs
Step-by-step explanation:
Total no. of eggs collected=30
Percentage of eggs broken=40%
No. of eggs still good:-
40/100×30
=)0.4×30
=)12eggs
PLS MARK ME AS BRAINLIEST
Answer:
(6^4 x 2^-9)
Step-by-step explanation:
Answer:
A) x+5
B) 121
Step-by-step explanation:
A) If Tim is 5 pounds heavier than Amy, an equation for this situation can be modeled by x+5, where Amy is <em>x </em>pounds.
B) If Tim is 126 pounds, then Amy's weight is 126-5=121 pounds.
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.
