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3 years ago

What is the rate of change of y= -2x-1

Mathematics

1 answer:

blsea [12.9K]3 years ago

4 0

The rate of change is -2

Step-by-step explanation:

The slope-intercept form of a linear equation is y = m x + b, where

m is the slope which represents the rate of change
b is the y-intercept which represent the initial value (value y at x = 0)

∵ y = -2x - 1

- The equation in the slope-intersect form, compare it with

the form above

∴ m = -2

∴ b = -1

∵ m represents the rate of change

∴ The rate of change is -2

∵ b represents y at x = 0

∴ The y-intercept is -1

The rate of change is -2

Learn more:

You can learn more about the linear equation in brainly.com/question/1284310

#Learnwithbrainly

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A population of monkeys' tail lengths is normally distributed with a mean of 25 cm with a standard deviation of 8 cm. I am prepa

Crank

Answer:

The probability that the mean of my sample will be between 24 and 25 cm

P(24 ≤X⁻≤25) = 0.4772

Step-by-step explanation:

Step(i):-

Given mean of the Population 'μ'= 25c.m

Given standard deviation of the Population 'σ' = 8c.m

Given sample size 'n' = 256

Let X₁ = 24

$Z_{1} = \frac{x_{1}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{24-25}{\frac{8}{\sqrt{256} } } = -2$

Let X₂ = 25

$Z_{2} = \frac{x_{2}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{25-25}{\frac{8}{\sqrt{256} } } = 0$

Step(ii):-

The probability that the mean of my sample will be between 24 and 25 cm

P(24 ≤X⁻≤25) = P(-2≤ Z ≤0)

= P( Z≤0) - P(Z≤-2)

= 0.5 + A(0) - (0.5- A(-2))

= A(0) + A(2) ( ∵A(-2) =A(2)

= 0.000+ 0.4772

= 0.4772

Final answer:-

The probability that the mean of my sample will be between 24 and 25 cm

P(24 ≤X⁻≤25) = 0.4772

4 0

3 years ago

How to find the volume of this composite figure

babymother [125]

1st you're going to want to divide the figures into smaller parts. I deviated them and got the measurements 2W, 1L, and 2H. The formula for rectangular prisms is LxWxH and I got 4.

Now we need to use the same formula for the other figure.
4L, 2W, and 1H.
Multiple them all and we get 8

Now we take the Volume of both the figures and add them together 8+4 = 12
So, the volume of the composite figure is 12

8 0

3 years ago

Read 2 more answers

I can't figure it out it keeps telling me it's wrong

rjkz [21]

Answer:

y = 1/4x

Step-by-step explanation:

3 0

2 years ago

Please help. 15 points and brainliest if correct!

Ivahew [28]

Answer:

2 and 3

Step-by-step explanation:

hope this helps!❄︎

3 0

2 years ago

What are the solutions of 2x + 3) > 4 ? Please show work.

xz_007 [3.2K]

Answer:

Step-by-step explanation:

equation:

3 + x = 7

will be false if any number except 4 is substituted for the variable. The value of the variable for which the equation is true (4 in this example) is called the solution of the equation. We can determine whether or not a given number is a solution of a given equation by substituting the number in place of the variable and determining the truth or falsity of the result.

Example 1 Determine if the value 3 is a solution of the equation

4x - 2 = 3x + 1

Solution We substitute the value 3 for x in the equation and see if the left-hand member equals the right-hand member.

4(3) - 2 = 3(3) + 1

12 - 2 = 9 + 1

10 = 10

Ans. 3 is a solution.

The first-degree equations that we consider in this chapter have at most one solution. The solutions to many such equations can be determined by inspection.

Example 2 Find the solution of each equation by inspection.

a. x + 5 = 12

b. 4 · x = -20

Solutions a. 7 is the solution since 7 + 5 = 12.

b. -5 is the solution since 4(-5) = -20.

5 0

3 years ago