Answer:
or
Step-by-step explanation:
Remember slope-intercept form.
~
In the case of :
Answer:
3
Step-by-step explanation:
The slope is the coefficient to the x variable.
In the equation y = 3x, this means 3 is the slope because it is the coefficient to x.
So, the slope is equal to 3.
The least common denominator of 12 and 18 is 36.
Given that fractions and .
Fraction: It is of the form p/q where q is not equal to zero.
∴p/q , q ≠ 0
Fractions: and
LCM of the denominator: 12 and 18
LCM of 12 and 18 = 36
Fraction 5/12:
Multiply numerator and denominator by 3.
Fraction 4/18:
Multiply numerator and denominator by 2.
Thus the common denominator of the fraction is 36.
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Answer:
36
Step-by-step explanation:
Answer:
Probability that it does not rain during the entire festival = 0.19584
Step-by-step explanation:
We are given that you and a group of friends are going to a five-day outdoor music festival during spring break.
Also, Probability that there may be rain on first day, P(A) = 0.15
Probability that there may be rain on second day, P(B) = 0.10
Probability that there may be rain on third day, P(C) = 0.20
Probability that there may be rain on fourth day, P(D) = 0.20
Probability that there may be rain on fifth day, P(E) = 0.60
It is also provided that these probabilities are independent of whether it rained on the previous day or not.
Now, probability that it does not rain during the entire festival = Probability that there may not be rain on all five days
= (1 - P(A)) (1 - P(B)) (1 - P(C)) (1 - P(D)) (1 - P(E))
= (1 - 0.15) (1 - 0.10) (1 - 0.20) (1 - 0.20) (1 - 0.60)
= 0.85 0.90 0.80 0.80 0.40 = 0.19584
Zeros of the given function f(x) = (x-1)(x-7) is (1, 0) and (7, 0).
Given function f(x) = (x - 1)(x - 7). Zeros of the function to be determined?
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
f(x) = (x - 1)(x - 7)
for finding zero we must equal the function to zero.
f(x) = 0
(x - 1)(x - 7) = 0
Here equal to zero implies one of the parenthesis must be zero,
x - 1 = 0 or x - 7 =
x = 1 or x = 7
It shows x must be 1 or 7 so the function gives zero, i.e. coordinates (1, 0) and (7, 0) are zeros of the function f(x) = (x - 1)(x - 7).
Thus, zeros of the given function f(x) = (x-1)(x-7) is (1, 0) and (7, 0).
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Answer:
(1,0) (7,0) so it’s 1 and 7
Step-by-step explanation:
You need to find the values of x that make the output equal to zero.
In a function like this, simple take the inverse of the number in each parentheses. For example if the number is -5, the zero is 5. And if it’s 5, the zero is -5.
This only works if the coefficient of x is 1.
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Answer:
see below
Step-by-step explanation:
the actual way of writing sin inverse is arcsine, not sin⁻¹
since the output of sin is from -1 to 1, the domain of arsince is from -1 to 1. This is different than 1/sin(x), whose domain is all real numbers. we now write sin⁻¹ to fit it on the tiny buttons on our calculators
The surface area of the cube with a side length of 2 units is 24 units squared
The side length of the cube is given as:
l = 2
The surface area is calculated as:
Surface area = 6l^2
This gives
Surface area = 6 *2^2
Evaluate
Surface area = 24
Hence, the surface area of the cube is 24 unit squared
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9514 1404 393
Answer:
2a. (x, y) = (2, 2)
2b. (x, y) = (3, -1)
3. -5, 3, y, 5, 1
Step-by-step explanation:
The first equation defines an expression for x, so it is convenient to use that to substitute for x in the second equation.
2(3y-4) -y = 2 . . . . . substitute for x
6y -8 -y = 2 . . . . . . eliminate parentheses
5y = 10 . . . . . . . . . add 8, collect terms
y = 2 . . . . . . . . . . divide by 5
x = 3(2) -4 = 2 . . . find x using the first equation
The solution is (x, y) = (2, 2).
__
Add 3 times the second equation to the first.
(3x +2y) +3(-x +y) = (7) +3(-4)
5y = -5 . . . . . simplify
y = -1 . . . . . . . divide by 5
x = y +4 = -1 +4 = 3 . . . . rearrange the second equation
The solution is (x, y) = (3, -1).
__
The slope of this equation is -5 [the x-coefficient]. I would start at +3 [the y-intercept] on the y axis and then drop down 5 and run over 1 .
[The slope is the ratio of rise to run. A slope of -5 means the "rise" is a drop of 5 for each "run" of 1 unit to the right.]