Letter D
A = 135°
B = 30°
cosAcosB - sinAsinB = cos(A+B)
cos(135°+30°)
cos(165°)
Answer:
ok so we have to make it so we can get rid of one of the varibles by adding or subtracting
so lets multiply the first one by 4
120x+16y=4160
minus the second one so
108x=2160
divide by 108
x=20
then we just plug in
12(20)+16y=2000
240+16y=2000
-240
16y=1760
divide by 16
y=110
(20,110)
Hope This Helps!!!
2.25 + 0.59 + 6.49 + 1.49 = 10.82 dollars
10.82 - 5.25 = $5.57 is his total purchase
Jackie wants to justify that f(x) = 2x - 6 is a linear function.
Lets assume some values for x and find out f(x)
We make a table with x values 1, 2, 3, 4 and find f(x)
To find f(x) we plug in x value in the given equation
x f(x)
1 2(1)-6 = -4
2 2(2)-6 = -2
3 2(3)-6 = 0
14 2(4)-6 =2
for f(x) we got -4, -2, 0 , 2
The value of f(x) is increasing by 2. There is a constant increase in f(x)
When there is a constant rate of increase then it is a linear function
constant rate of increase that is slope = 2. Hence f(x) = 2x -6 is a linear function.
