Answer:
x= -7, y= -5 and
x= 2, y= 13
This may also be written as (-7, -5) and (2, 13).
Step-by-step explanation:
Start by labelling the two given equations:
y= x² +7x -5 -----(1)
2x -y= -9 -----(2)
Let's solve by substitution!
Making y the subject of formula in equation (2):
From (2): y= 2x +9 -----(3)
Substitute (3) into (1):
2x +9= x² +7x -5
x² +7x -5 -2x -9= 0
x² +5x -14= 0
Factorise:
(x +7)(x -2)= 0
x +7= 0 or x -2= 0
x= -7 or x= 2
Find the respective values of y.
Substitute into (1):
y= (-7)² +7(-7) -5 or y= (2)² +7(2) -5
y= 49 -49 -5 or y= 4 +14 -5
y= -5 or y= 13
Thus, the solutions are (-7, -5) and (2, 13).
Answer: $2.50
Step-by-step explanation: divide 10 and 4 because there are 4 quarts in a gallon.
If the movie started at 7:25 and it ended at 9:55 it would be 2:30 because you subtract them by each other so you end up with 2:30. Hope this helps!
Answer:
a is 29°
b is 61°
c is 44°
Step-by-step explanation:
a,b, and c are all inscribed angles which means they are 1/2 the measure of the arc they intercept. To find the measure of the arc on the circle that angle b intercepts, you need to subtract 58° from 180° because the measure of the arc of a semi-circle is 180°. 180°-58°= 122° so b is half of that, or 61°
Step-by-step explanation:
at s = -3
at s = -2
at s = -1
at s = 0
at s = 1
at s = 2
at s = 3
First difference
Second difference
Third difference
18 -12 -2 0 0 4 18
-30 10 2 0 4 14
40 -8 -2 4 10
-48 6 6 6