The first 5 is in the 10s place. The second is in the ones. To write this out, it would be 5 tens (50), plus 5 ones (5); 55. I don't know if this is what you were looking for, but I hope I could help in some way!
Answer:
c) 1,381.5.
Step-by-step explanation:
First term = 3.1 *1 - 2 = 1.1
2nd term = 3.1*2 - 2 = 4.2
3rd term = 3.1*3 - 2 = 7.3
so the common difference d = 3.1.
S30 = (30/2) [ 2* 1.1 + (30-1) * 3.1)]
= 1,381.5.
Answer:
<h2>B</h2>
Step-by-step explanation:
it increased by two inches from noon to 1pm and increased another two inches from 3pm - 4pm
The first thing you should do is graph the following lines
2x + 3y = 8
x-2y = -3
x = 0
y = 0
After you have graphed them, you should proceed to evaluate points in the xy plane that meet the following restrictions:
2x + 3y≤8, x-2y≥-3, x≥0, y≥0
The resulting region is the region "R" shown in the attached graph.
Answer:
g(x) = (-1/25)x + (203/25)
Step-by-step explanation:
The general equation for a line is slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
We know that perpendicular lines have opposite-signed, reciprocal slopes of the original line. Therefore, if the slope of f(x) is m = 25, the slope of g(x) must be m = (-1/25).
To find the y-intercept, we can use the newfound slope and the values from the given point to isolate "b".
g(x) = mx + b <----- General equation
g(x) = (-1/25)x + b <----- Plug (-1/25) in "m"
8 = (-1/25)(3) + b <----- Plug in "x" and "y" from point
8 = (-3/25) + b <----- Multiply (1/25) and 3
200/25 = (-3/25) + b <----- Covert 8 to a fraction
203/25 = b <----- Add (3/25) to both sides
Now that we know both the values of the slope and y-intercept, we can construct the equation of g(x).
g(x) = (-1/25)x + (203/25)
