Answer:
The absolute value is 7.
Step-by-step explanation:
Because when a number has two lines between it you always make it positive.
graph A
no x-intercept
no y-intercept
H.A is y = 5
V. A. is x = 0
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Answer:
<u>Step by step explanation:</u>
log₆(5x + 6) - log₆(x - 4) = 2
log₆ = 2
= 6²
= 36
5x + 6 = 36(x - 4)
5x + 6 = 36x - 144
6 = 31x - 144
150 = 31x
= x
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Answers:
- a. (-1, -5)
- b. up
- c. x = -1
- d.
- e. -2
- f. see attachment
- g. domain (-∞, ∞) range [-5, ∞)
<u>Explanation:</u>
f(x) = 3x² + 6x - 2
a=3 b=6 c=-2
x =
Axis Of Symmetry: x = -1
f(-1) = 3(-1)² + 6(-1) - 2
= 3 - 6 - 2
= -5
Vertex: (-1, -5)
x =
=
=
=
=
=
x-intercepts:
Answer:
y = x - 2
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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 6, - 5) and (x₂, y₂ ) = (- 4, - 4)
m = = , thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 6, - 5), then
- 5 = - 3 + c ⇒ c = - 5 + 3 = - 2
y = x - 2 ← equation of line