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3 years ago

What is the reason for each step in the solution of the inequality?

Mathematics

1 answer:

Citrus2011 [14]3 years ago

7 0

step 1: Given

step 2: Distributive Property

step 3: Combine Like terms

step 4: Subtraction Property of Order

step 5: Addition property of order

step 6: Division property of order

Step-by-step explanation:

We are given the inequality: $-38-3(x+5)>6x-17$

We need to match each step with the reasons.

The given steps are:

−38−3(x+5)>6x−17

So, Reason for step 1: Given

−38−3x−15>6x−17

So, Reason for step 2: Distributive Property

−3x−53>6x−17

So, Reason for step 3: Combine Like terms

−9x−53>−17

So, Reason for step 4: Subtraction Property of Order

−9x>36

So, Reason for step 5: Addition property of order

x<−4

So, Reason for step 6: Division property of order

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

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What is the value of the expression 8p4: 32, 1680,40,296,40,320

muminat

Answer:

1680

Step-by-step explanation:

nPr = n!/(n-r)!

Therefore;

8P4 = 8!/(8-4)!

we get;

= 8!/4!

= (8×7×6×5×4×3×2×1)/(4×3×2×1)

= 40,320/ 24

= 1680

8 0

3 years ago

30 points and brainliest!! HELP NOW

Natasha2012 [34]

Answer:

First question

a = 1 , h = 0 , k = 6 ⇒ third answer

Second question

y = 2x² + 4 ⇒ second answer

Third question

No of the choices correct ⇒ fourth answer

Step-by-step explanation:

First question

∵ f(x) = x² + 6

- It is a quadratic function with general form ax² + bx + c

- Its vertex is (h , k), where h = -b/2a and k = f(h)

∵ a = 1 , b = 0 , c = 6

∴ h = 0/2(1) = 0

∴ f(0) = 0² + 6 = 6

∴ a = 1 , h = 0 , k = 6 ⇒ third answer

Second question

- If the function f(x) translated vertically up

by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down

by k units, then the new function g(x) = f(x) – k

∵ y = 2x²

∵ y is shifted 4 units up

∴ k = 4

∴ y + 4 = 2x² + 4

∴ y = 2x² + 4 ⇒ second answer

Third question

∵ y = -2x² + 3

- It is a quadratic equation with general form ax² + bx + c

- It represented graphically by parabola

- If a is positive the parabola opens upward

- If a is negative the parabola opens downward

∵ a = -2

∴ The parabola opens downward

∴ No of the choices correct ⇒ fourth answer

4 0

3 years ago

What is the value of the expression 100 - 92 ÷ 3?

lora16 [44]

Answer:

2.67

Step-by-step explanation:

100-92=8

8÷3

$\sqrt[3]{8}$

=2.67

8 0

3 years ago

Read 2 more answers

I need help 911!!! I need thisss

velikii [3]

Rate of change is another way to say slope.

Slope is (the change in y) / (the change in x).
The formula for slope is:
m = (y2 - y1)/(x2 - x1), with (x1, y1) being one point and (x2, y2) being the second. What you need to do is order the slopes from smallest to largest because slope means the same thing as rate of change.

#17. First, you need to find the slope of function A. To do this, I’m choosing two different points I see on the graph: (1,1) and (2,1). I now plug these into the slope formula:
m = (1-1)/(2-1) = 0/1 = 0.
The slope for function A = 0

To find the slope for function B, you can choose any two points. I’m going to use (3,0) and (6,1)

m = (1-0)/(6-3) = 1/3
The slope for function B is 1/3

For function C, you are already given the slope. That equation is in something called slope-intercept form (y=mx+b), where the x is being multiplied by the slope.
The slope on function C = 1/4

So,, A has the smallest slope, C has the second smallest slope, and B has the largest slope.

#18. The two points in using to find the slope for function A are (0,-3) and (1,0).
m = (0+3)/(1-0) = 3/1 =3
The slope for function A is 3

The two points I’m using for function B are (-2, 10) and (0, 20)
m = (20-10)/(0+2) = 10/2 = 5
The slope for function B is 5

The slope for function C is 1. When the slope is 1, it is not written because any number (other than 0) times 1 equals 1.

Function C has the smallest slope, function B has the second smallest slope, and function C had the largest slope.

It would probably be better for you to try 19 and 20 on your own, and let me or anyone else on Brainly know if you have any questions or something doesn’t make sense.
I hope this has helped!

6 0

3 years ago

PLEASE HELP I WILL MARK YOU BRAINIEST PLEASE

cupoosta [38]

Answer:

Zeniab makes the most money by $0.25, and would make $2.50 more.

Step-by-step explanation:

Okay, the good news is, this problem is about finding how much you make in an hour.

Zainab makes $44 for 8 hours

and

Keziah makes $47.25 in 9 hours.

in each problem, we can set them up in an equation of

$44=8x

and

$47.25=9x

In the first equation, divide both sides by 8 to isolate the x.

that would be 44/8 = x which is $5.50 per hour for Zainab.

In the second equation, divide both sides by 9 to isolate the x.

That would be 47.25/9 = x which is $5.25 per hour for Keziah.

This means that Zainab would make more per hour, and to find the second part of the question for a 10 hour job,

(You can multiply any number by 10 easily by moving each number up one place. Hundreds go to the thousands when you multiply by 10 as an example. In this problem, 5.50 times 10 would be $55.00 because the 5 behind the decimal would be moved up infront of the decimal)

Zainab would make $55 for 10 hours

Keziah would make $52.50 for 10 hours

Then, take the difference of those final totals, which is $2.50, or multiply $0.25 by 10 to get $2.50

8 0

3 years ago