Answer:
See below
Step-by-step explanation:
<em>On the graphs we see transformations of exponential functions</em>
<h3>Graphic 1 = Horizontal shift </h3>
- f(x) = 2ˣ is the parent function
- g(x) = 2ˣ⁺³ indicates shift to the left by 3 units
- h(x) = 2ˣ⁻¹ indicates the shift to the right by 1 unit
<h3>Graphic 2 =Vertical shift</h3>
- p(x) = (1/3)ˣ is the parent function
- r(x) = (1/3)ˣ⁺³ indicates shift up by 3 units
- q(x) = (1/3)ˣ⁻² indicates the shift down by 2 units
Answer:
The total number of pages in the e-book is 240.
Step-by-step explanation:
Given:
Logan has completed 75%
Logan has read 180 pages
To Find:
The total number of pages in the e-book= ?
Solution:
Let X be the total number of pages on the e-book
then
=> 75% of X = 180
Now lets find the value of X
X = 
X = 
X = 
X = 240
Answer:
-.833333333333333333333333333333333333333333333333333333333333
Step-by-step explanation:
subtract 2x from each side
you are left with -6x=5
divide 6 on both sides
you get -.8333333333333333333333333333333333333333333333333333
Answer:
27 minutes to complete the painting of 4 walls
Step-by-step explanation:
since 16m with 9p --> 8 walls
x minutes with 4p --> 6 walls?
let x= minutes
6 walls painted=(8/144 walls painted per minute)x
simplify
x= 6 divided by (8/144)
x=108 minutes (to complete 6 walls)
108/4=
27 minutes to complete the painting of 4 walls
Answer:
sin Ф = 3/√13; cos Ф = 2/√13; and tan Ф = 3/2
Step-by-step explanation:
Let's assume we're limiting ourselves to Quadrant I.
Start with the tangent function. tan Ф = opp / adj.
In this case opp = 3 and adj = 2.
The length of the hypotenuse is found using the Pythagorean Theorem and is √(3² + 2²) = √13.
Then sin Ф = opp / hyp = 3/√13 or 3√13/13
and
cos Ф = adj / hyp = 2/√13 or 2√13/13
and (as before)
tan Ф = opp / adj = 3/2
