Answer:
The slope of the line representing the linear function f(x) is determined as
. The function f(x) is decreasing because the slope is less than zero, i.e., m<0.
Step-by-step explanation:
A linear function f(x) is given with two points, (2,3) and (0,4) lying on the line representing f(x).
It is asked to determine the slope of the line and state if the function is increasing or decreasing. of the value of the slope obtained.
Step 1 of 1
Determine the slope of the line.
The points as given in the question are (2,3) and (0,4). Now, the formula for the slope is given as

So, substitute
for
and
respectively, and
for
and
respectively in the above formula. Then simplify to get the slope as follows,
The slope of the line is obtained as
. Now, as
, so the function f(x) is decreasing.
Answer:
$56,226
Step-by-step explanation:
x = investment
Earning interest of 3.57% is the equivalent of multiplying the initial balance (investment) by 1.0357;
Over 20 years, the new balance can be found by multiplying the initial balance by (1.0357)²⁰;
We can formulate an equation to solve to get the initial investment:
x(1.0357)²⁰ = 113400
(2.01687752)x = 113400
x = ¹¹³⁴⁰⁰/₍₂.₀₁₆...₎
x = 56225.5263 → 56226
Ratio of girls to boys = 5/3
Number of girls in 40 students would be 3/5 * 40 = 24
Answer:
6 inches
Step-by-step explanation:
The diameter of the burners are 6 inches because the diameter is twice the size of the radius.
Answer:
x=48
Step-by-step explanation:
I hope I helped!!1