Answer:
Step-by-step explanation:
x=-12
Answer:
x= -12
Step-by-step explanation:
multi-step equations
Answer:
y = 2
Step-by-step explanation:
This equation can be solved three steps, classifying it as a multi-step equation.
To solve, you need to get the constants on one side and the variables on the other and then isolate the variable. These steps are illustrated below.
3y + 2 = 2y + 4 Subtract 2y from both sides of the equation.
y + 2 = 4 Subtract 2 from both sides of the equation.
y = 2
The greatest common factor of 42 and 96 is 6.
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
42 = 2 x 3 x 7
96 = 2 x 2 x 2 x 2 x 2 x 3
Greatest common factor = 2 x 3 = 6
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Answer:
6
Step-by-step explanation:
42 and 96
first we will find the factors of 42:
2 21
3 7
7 7
hence, factors of 42 are 2,7 and 3
then, we will find the factors of 96:
2 96
2 48
2 24
2 12
2 6
3 3
1
hence, factors of 96 are 2,2,2,2,2 and 3
Common factors are: 2 and 3
Highest common factor: 6
(a) How many gallons does each tower contain after 5
minutes? Show your work.
9514 1404 393
Answer:
Step-by-step explanation:
After 5 minutes, the amount of water that has flowed is ...
(20 gal/min)(5 min) = 100 gal
That amount has flowed out of Tower #1, so it now has ...
1650 -100 = 1550 . . . gallons in Tower #1
That amount has flowed into Tower #2, so it now has ...
570 +100 = 670 . . . gallons in Tower #2
O y = 0.5 (x - 2)(+ 8)
O y = 0.5(x2 -2x - 16)
O y = 0.5 (x2 -2x + 16)
Answer:
y = 0.5 (x^2 -2x + 16) has a y-intercept of 8.
Step-by-step explanation:
The x-coordinate of every y-intercept is zero. To determine which of the four quadratics given here has a y-intercept of 8, we need only substitute 0 for x in each; if the result is 8, we've found the desired quadratic.
O y = 0.5(x + 2)(x + 4) becomes y = 0.5(2)(4) = 4 (reject this answer)
O y = 0.5 (x - 2)(x + 8) becomes y = 0.5(-2)(8) = -8 (reject)
O y = 0.5(x2 -2x - 16) becomes y = 0.5(-16) = -8 (reject)
O y = 0.5 (x2 -2x + 16) becomes y = 0.5(16) = 8 This is correct; that '8' represents the y-intercept (0, 8).
cos(pie/4) = -cos(4pie/4) cos(-pie/4) = cos(pie/4)
cos(-7pie/6) = cos(5pie/4)
illustrates why cosine is an even function.
A function such that f(x)=f(−x) where the value remains unchanged if the sign of the independent variable is reversed.
According to the question
Cosine is an even function
If f(x) is an even function, then f(x) = f(-x)
So, illustrates why cosine is an even function.
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C. cos(-pie/4) = cos(pie/4)
Step-by-step explanation: edge
There are 34 people in the garden prior to the time I joined them.
So when I entered the garden, the total number of people in the garden will be:
Let assume, you as the reader was part of the people in the garden and you hugged 30 people. That doesn't add up or increase the number of people in the garden.
At the end of the day, the number of people you did not hug is:
35 - 30 - 1(you)
= 35 - 31
= 4 people
Therefore, we can conclude that there are 35 peoplepresent in the garden.
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Answer:
34
Step-by-step explanation: