What would be the slope of y=3x.?

Answers

Answer 1
Answer:

Answer:

3 or (3)/(1)

Step-by-step explanation:

Remember slope-intercept form.

y=mx+b

~

m=slope

b=y-intercept

In the case of y=3x:

m=3

Answer 2
Answer:

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.


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What is the least common denominator of 5/12 and 4/18

Answers

The least common denominator of 12 and 18 is 36.

Given that fractions  (5)/(12) and (4)/(18) .

Fraction: It is of the form p/q where q is not equal to zero.

∴p/q , q ≠ 0

Fractions: (5)/(12) and (4)/(18)

LCM of the denominator: 12 and 18

LCM of 12 and 18 = 36

Fraction 5/12:

Multiply numerator and denominator by 3.

(5 * 3)/(12 * 3) = (15)/(36)

Fraction 4/18:

Multiply numerator and denominator by 2.

(4 * 2)/(18 * 2) = (8)/(36)

Thus the common denominator of the fraction is 36.

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Answer:

36

Step-by-step explanation:

You and a group of friends are going to a five-day outdoor music festival during spring break. You hope it does not rain during the festival, but the weather forecast says there is a 15% chance of rain on the first day, a 10% chance of rain on the second day, a 20% chance of rain on the third day, a 20% chance of rain on the fourth day, and a 60% chance of rain on the fifth day. Assume these probabilities are independent of whether it rained on the previous day or not. What is the probability that it does not rain during the entire festival

Answers

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

Plot the zeos of this function: f(x) = (x-1)(x-7)​

Answers

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?

What are functions?

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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Does sine inverse have an exponent? If not, why is there a negative one there? If so, why can't you just divide?

Answers

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

Find the surface area of the cube shown below. units 2 2 squared

Answers

The surface area of the cube with a side length of 2 units is 24 units squared

How to determine the surface area?

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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Please show you're work! THANKS! Need help asap

Answers

9514 1404 393

Answer:

  2a. (x, y) = (2, 2)

  2b. (x, y) = (3, -1)

  3. -5, 3, y, 5, 1

Step-by-step explanation:

2A.

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).

__

2B.

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).

__

3.

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.]