Answer:
There are an infinite number of solutions.
Step-by-step explanation:
An equation with 2 unknowns give an infinite amount of solutions, here is just one of the many:
Let y= 3 ( y can be any number)
(3) + 1 = -4x
4 = -4x
x = -4/4
x= -1
(x;y) = (-1;3)
Generally x and y can be any number, just let x or y be any number, then find the other variable based on the value of the number u assumed.
The formula for the volume of a box (assuming that it is in the shape of a cube) is <u>V=B^3</u>.
12=B^3
Now, do the cube root of 12 to find each dimension, all dimensions will be equal as it is a cube.
B= about 2.29 (when doing on a calculator keep full answer and do not round)
Now to find the volume of box B, multiply each dimension by 5
5(2.29...) times 5(2.29...) times 5(2.29...)
=1,500 m^3
Hope this helps!
(2x + 2) = (3x + -52)
Reorder the terms:
(2 + 2x) = (3x + -52)
Remove parenthesis around (2 + 2x)
2 + 2x = (3x + -52)
Reorder the terms:
2 + 2x = (-52 + 3x)
Remove parenthesis around (-52 + 3x)
2 + 2x = -52 + 3x
Solving
2 + 2x = -52 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
2 + 2x + -3x = -52 + 3x + -3x
Combine like terms: 2x + -3x = -1x
2 + -1x = -52 + 3x + -3x
Combine like terms: 3x + -3x = 0
2 + -1x = -52 + 0
2 + -1x = -52
Add '-2' to each side of the equation.
2 + -2 + -1x = -52 + -2
Combine like terms: 2 + -2 = 0
0 + -1x = -52 + -2
-1x = -52 + -2
Combine like terms: -52 + -2 = -54
-1x = -54
Divide each side by '-1'.
x = 54
Simplifying
x = 54
Answer:
8 pencils.
Step-by-step explanation:
This is a common, GCF question and the question becomes, what number is the GCF of 40 and 24.
40= 2x2x2x5
24=2x2x2x3
Both share 2x2x2, which is 8 so the largest number of pencils in each pack is 8.
Answer:
<h2>A. 2Pi</h2>
Step-by-step explanation:
The given function is
Notice that the indepedent variable doesn't have any transformation, that means the period doesn't change. In other words, this function has the same period than its parent function which is 
.
Therefore, the answer is A.
The image attached shows the graph of this function, there you can observe the period of the function.
Also, notice that this function is verticall stretched by a scale of 2, which doesn't change its original period.
