Answer:
b = -1
Step-by-step explanation:
If +b = -1 ,
then b = -1
Answer: The equation is y = 0.25/(x - 4) + 3
Step-by-step explanation:
If we have a function y = f(x)
A compression means that we multiply the function by a factor smaller than 1.
Then the vertical compression by a factor of 0.25 is:
y = 0.25*f(x)
a translation by A units to the right, means that we need to valuate the function in x - A.
So now we have:
y = 0.25*f(x - 4)
A translation in the y-axis means that we need to add a constant to the equation, then if we tralate it by 3 units up, we have:
y = 0.25*f(x - A) + 3
Then, if f(x) = 1/x
Our new equation is:
y = 0.25/(x - 4) + 3
Answer:
Length of the prism is 4 units.
Step-by-step explanation:
Given:
Volume of Prism (V) = 40 cubic units
width of the prism (w) = 2 units
height of the prism (h) = 5 units
we need to find the length of the prism (l).
Solution:
Now we know that;
Volume of prism is given by length time width times height.
Framing in equation form we get;
Hence Length of the prism is 4 units.
So the bill would have to be <$65, so $45 (the monthly that doesn't change) + $.10 x t would equal that.
45+(.10xt)<65 simplify the eguation
45+.1t<65 subtract both sides by 45
.1t<20 divide both sides by .1
t<200
Answer:
9.1
Step-by-step explanation:
Let,
hypotenuse = 12.3 cm
perpendicular = 8.2 cm
base = y cm
(hypotenuse)^2 = (perpendicular)^2 + (base)^2
(12.3)^2 = (8.2)^2 + y^2
151.29 = 67.24 + y^2
151.29 - 67.24 = y^2
.: y^2 = 84.05
y = √84.05
y = 9.1
