Answer:
-1/4
Step-by-step explanation:
The slope-intercept form is y
=
m
x+b
,
where m is the slope and b is the y-intercept.
y
=
m
x
+
b
Using the slope-intercept form, the slope is 4.
4 m
=
4
The equation of a perpendicular line to
y
=
4
x
-
7
must have a slope that is the negative reciprocal of the original slope.
−
1
/4
Answer:
First: 15
Second: 21
Third: 45
Step-by-step explanation:
In order to create the equation we need to represent the evenings with an alebraic term, in thsi case we are going to represent the second evening with an X
Second evening:x
The first night she got 6 fewer calls than the second: Second-6=x-6
The third night she received 3 times the first: 3(first night)=3(x-6)
The equation is First Night plus second night plus third night equals 81.
So the first evening he received 15 calls, the second he received 21 and the third one he received 45.
Answer:
Step-by-step explanation:
x-intercepts exist where y is equal to 0. Where y is equal to 0 is where the graph goes through the x-axis. Our x-intercepts are (2x-3), (x + 3), and (x-4). Again, since x-intercepts exist where y = 0, then by the Zero Product Property, 2x - 3 = 0, x - 4 = 0, and x + 3 = 0. In the first x-intercept:
2x - 3 = 0 and
2x = 3 so
x = 3/2
In the second:
x - 4 = 0 so
x = 4
In the third:
x + 3 = 0 so
x = -3
So the x-intercepts in the correct order are x = 3/2, 4, -3
Answer:
Coefficient is equal to 12
Answer:
4x² + 4x + 1
Step-by-step explanation:
We know that (a + b)² = a² + 2ab + b², therefore, (2x + 1)² = 4x² + 4x + 1.
