Answer:
y =
x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, 5) ← 2 points on the line
m =
=
=
, then
y =
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 5 ) , then
5 = 1 + c ⇒ c = 5 - 1 = 4
y =
x + 4 ← equation of line
Answer:
![\boxed{\text{A. The y-intercept of function f is greater than the y-intercept of function g}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ctext%7BA.%20%20The%20y-intercept%20of%20function%20f%20is%20greater%20than%20the%20y-intercept%20of%20function%20g%7D%7D)
Step-by-step explanation:
A. y-Intercept of ƒ(x)
ƒ(x) = x² - 4x + 3
f(0) = 0² - 4(0) + 3 = 0 – 0 + 3 = 3
The y-intercept of ƒ(x) is (0, 3).
If g(x) opens downwards and has a maximum at y = 3, it's y-intercept is less than (0, 3).
Statement A is TRUE.
B. y-Intercept of g(x)
Statement B is FALSE.
C. Minimum of ƒ(x)
ƒ(x) = x² - 4x + 3
a = 1; b = -4; c = 3
The vertex form of a parabola is
y = a(x - h)² + k
where (h, k) is the vertex of the parabola.
h = -b/(2a) and k = f(h)
h = -b/2a = -(-4)/(2×1 = 2
k = f(2) = 2² - 4×2 + 3 =4 – 8 +3 = -1
The minimum of ƒ(x) is -1. The minimum of ƒ(x) is at (2, -1).
Statement C is FALSE.
D. Minimum of g(x)
g(x) is a downward-opening parabola. It has no minimum.
Statement D is FALSE
Answer:
23
Step-by-step explanation:
put the numbers in numerical order and then cross off on both sides until there is only one number left (look at the process below!)
9,14,16,18,23,25,26,26,30
14,16,18,23,25,26,26
16,18,23,25,26
18,23,25
23
Answer:
1032 R 1
Step-by-step explanation:
So first you find out how many times 7 can go into 7 which is 1 time then you put the one on top of the bar and you multiply (7*1) you get 7 so 7 - 7 is 0 so you bring down the 2...
Should look like this.
7| 7225
- 7
0 2
- 0
2 2
- 2 1
1 5
- 14
1
Those are subtracting signs, I didn’t want you to think it was negative but I’m sorry if I wasn’t much help but I hoped I did something. :)
Let is the answer for the question