Put into slope intercept form, y=mx+b where m=slope
p=-2q+6
slope is -2
subsitute values for q and get values for p
q=0, p=6
(q,p)
(0,6)
(1,4)
p=q+4
slope is 1
subsitutte
q=0,p=4
(q,p)
(0,4)
(1,5)
below are the graphs
156°
D is a 24° angle, and is placed in a 90° angle, so 90-24=66
C is a right angle, so 90+66=156°
Hope this helped!
Answer:
no solution
Step-by-step explanation:
6y≥42
Divide each side by 6
6y/6≥42/6
y≥7
Then solve the second one
4y+12≤0
Subtract 12 from each side
4y+12-12≤0-12
4y ≤-12
Divide each side by 4
4y/4 ≤-12/4
y ≤-3
There is no solution since there is no overlap
Answer:
Step-by-step explanation:
diagram attached represents a function g(x).
Circle (1) (circle on the left) represents the set of domain (input values) and circle (2) represents the range (output values).
a). For input value x = 7, out put value of the function is y = 9.
Therefore, g(7) = 9 will be the answer.
b). Range of the function g(x) is the set of output values.
Range: {12, 9, 9, 17}
c). Inverse of the function g(x) will have,
Domain: {12, 9, 9, 17}
Range: {4, 7, 10, 15}
For input value of x = 9, there are two output values y = 7, 10.
Since, "a function can't have two output values for the same input value".
Therefore, inverse of the function g(x) will not represent a function.
