Answer:
x has infinite solutions
Step-by-step explanation:
|4x−4(x+1)|=4
Simplify inside the absolute value by distributing the 4
|4x−4x+4|=4
Combine like terms
|4|=4
The absolute value of 4 is 4
4=4
This is always true, so x is all real values
x has infinite solutions
Just divide the numbers and times them
Answer:
D. Negative.
Step-by-step explanation:
In truth, when given the graph you don't really need to use the points, but if needed it you would use the formula:
y-y₁=m(x-x₁)
Plug in your information and solve.
-1 - 5 = m (2 - (-1))
-6 = m (3)
-6 = 3m
m = -6 / 3
m = -2
(m = slope)
Also, when shown on the graph =
If the slope is going:
up from left to right: it's positive
down from left to right: it's negative
straight up and down (vertical): it's undefined
straight left to right (horizontal): it's zero.
Answer:
38.25 packages
Step-by-step explanation:
Number of guests = 459
Each guest gets 1 muffin
Muffin comes in packages of 12
Hence,
The number of packages is calculated as:
459/12 = 38.25 packages
Hence, 38.25 packages are needed so there are enough muffins for every guest.
Answer:
The correct option is (B).
Step-by-step explanation:
The length of the diagonal of a rectangle is
inches.
Compute the value of
inches as follows:
The number 181 is not a square of a whole number.
So, the square root of 181 must lie between two whole numbers.
Consider the following squares:



It is quite clear that the 181 lies between the square of 13 and 14.
So, it can be said that the square root of 181 is between the square of 13 and 14.
Thus, the length of the diagonal of a rectangle is between 13 and 14 inches.
The correct option is (B).