<span>1. Let t = time in years, with t = 0 representing the year 2005. Let f(t) = the number of students enrolled at the private school and g(t) = the number of students enrolled at the public school. Create the two functions to represent the situation.
f(t) = 85 + 18t </span>⇒ y = 85 + 18x<span>
g(t) = 95 + 15t </span>⇒ y = 95 + 15x
y = y
85 + 18x = 95 + 15x
18x - 15x = 95 - 85
3x = 10
x = 10/3
x = 3 1/3
y = 85 +18(10/3) = 85 + 180/3 = 85 + 60 = 145
y = 95 + 15(10/3) = 95 + 150/3 = 95 + 50 = 145
x = 10/3 or 3 1/3
y = 145
Answer:
Step-by-step explanation:
You can start by recognizing 19/12π = π +7/12π, so the desired sine is ...
sin(19/12π) = -sin(7/12π) = -(sin(3/12π +4/12π)) = -sin(π/4 +π/3)
-sin(π/4 +π/3) = -sin(π/4)cos(π/3) -cos(π/4)sin(π/3)
Of course, you know that ...
sin(π/4) = cos(π/4) = (√2)/2
cos(π/3) = 1/2
sin(π/3) = (√3)/2
So, the desired value is ...
sin(19π/12) = -(√2)/2×1/2 -(√2)/2×(√3/2) = -(√2)/4×(1 +√3)
Comparing this form to the desired answer form, we see ...
A = 2
B = 3
530,000 candles were produced by the factory (rounded of course!) in that month.
Hope this helps!
Answer:
Patrick walk approximately <u>112 yards</u>.
Step-by-step explanation:
Given:
A rectangular field is 50 yards wide and 100 yards long.
Patrick walks diagonally across the field.
Now, to find the distance he walk.
Length of the field = 100 yards.
Width of the field = 50 yards.
Now, to get the diagonal distance we put formula:
Therefore, Patrick walk approximately 112 yards.
Answer:
1- click
2--trick
3- track
4-trace
Step-by-step explanation:
equation (y=x+2) x y
y=-3+2 -3 -1
y=-1+2 -1 1
y=0+2 0 2
y=2+2 2 4
you can plot the points ( click)
<h2>equation (y=-x) x y</h2>
y=-(-2) -2 2
y=0 0 0
y=-1 1 -1
y=-3 3 -3
plot the points
<h2>equation (y=1) x y</h2>
y=1 no matter what the value of x -3 1
(-3,-1,0,2) -1 1
0 1
2 1
<h2>y=1/2 x +1 x y</h2><h2> y=-4/2 +1 -4 1</h2>
y=-2/2 +1 -2 0
y=1/2(0)+1 0 1
y=3/2 +1 3 2.5
there are no image for 5 and 6
