(a)
slope of f(x):
We can select any two points to find slope
(0,-3) and (1,0)
now, we can use slope formula

now, we can plug values


slope of g(x):

we can compare it with slope intercept form of line

we get

so, we can see that slope of f(x) is 3 while slope of g(x) is 4
so, slope of g(x) is greater than slope of f(x)
(b)
y-intercept of f(x):
we know that y-intercept is value of y when x=0
we are given point (0,-3)
so, y-intercept is -3
y-intercept of g(x):
we know that y-intercept is value of y when x=0
so, we can plug x=0 and find y


so, y-intercept is -5
Since, -3 is greater than -5
Hence , y-intercept of f(x) has greater value.........Answer
Answer:
x ≈ - 1.28
Step-by-step explanation:
Using the rule of logarithms
x = n ⇔ x = 
Given
ln(x + 4) = 1 , then
x + 4 =
( subtract 4 from both sides )
x =
- 4 = - 1.28 ( to the nearest hundredth )
The line Y = 1 is a horizontal line; its slope is zero.
A line perpendicular to Y = 1 is a vertical line.
Its slope is undefined.
(This does NOT mean that it's infinite, or anything else.
The slope of a vertical line is undefined. It doesn't have
a name or a symbol. It's nothing.)
Answer:
1) A
2) C
Step-by-step explanation:
The range is all real y values, in this case it includes zero and continues going downward towards negative infinity.
The domain is all real x values. In this case it includes zero and continues increasing to positive infinity.
Hope this helps!
Hj and ik are opposite sides of the rectangle so they areequal in length.
19 + 2x = 3x + 22
19-22 = 3x-2x
x = -3
We can't find the length of the diagonals as we have no information about the width.