Classify: −4m+21(m−1)≤15m+2(m−1).

Answers

Answer 1

Answer:

[tex]\boxed{\sf All\: real\: numbers}[/tex]

Step-by-step explanation:

[tex]\star \:\sf Classify\: -4m+21\left(m-1\right)\le \:15m+2\left(m-1\right)\: \star[/tex]

Apply Distribution law:

[tex]\sf -4m+21m-21\le \:15m+2\left(m-1\right)[/tex]

Combine like terms:

** [tex]\sf \hookrightarrow -4m+21m=17m[/tex]

[tex]\longmapsto\sf 17m-21\le \:15m+2\left(m-1\right)[/tex]

[tex]\sf 2(m-1)[/tex]

[tex]\hookrightarrow 2m-2[/tex]

-----------------------------------------

[tex]\longmapsto\sf 17m-21\le \:15m+2m-2[/tex]

Combine like terms:

** [tex]\sf 15m+2m=17m[/tex]

[tex]\longmapsto\sf 17m-21\le \:17m-2[/tex]

Add 21 from both sides:

[tex]\longmapsto\sf 17m-21+21\le \:17m-2+21[/tex]

[tex]\longmapsto\sf 17m\le \:17m+19[/tex]

Subtract 17m from both sides:

[tex]\longmapsto\sf 17m-17m\le \:17m+19-17m[/tex]

[tex]\longmapsto\sf 0\le \:19[/tex]

Therefore, the solution of the inequality: All real numbers

_____________________________________________


Related Questions

Find the equation of the line where m = 1 and b = 8.
y = 8 - x
y = 8
y = 8x + 1
y = x + 8

Answers

Answer
Y=x+8
Explanation
Y=mx+b

Answer:

Y=x+8

Step-by-step explanation:

How to determine the domain and range of a continuous graph

Answers

Answer:

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.                                        

f(x)=2x^2 + x - 6/ x-1

Answers

Answer:

See below

Step-by-step explanation:

Zeroes:

[tex]f(x)=\frac{2x^2+x-6}{x-1}[/tex]

[tex]0=\frac{2x^2+x-6}{x-1}[/tex]

[tex]0=2x^2+x-6[/tex]

[tex]0=(2x-3)(x+2)[/tex]

[tex]x=\frac{3}{2},-2[/tex]

Vertical and Horizontal Asymptotes:

[tex]x\neq 1[/tex] is excluded from the domain, therefore, there's a vertical asymptote at [tex]x=1[/tex]

No horizontal asymptotes as the degree of the numerator is greater than the degree of the denominator by 1.

Oblique (Slant) Asymptote:

[tex]f(x)=\frac{2x^2+x-6}{x-1}=2x+3,R(-3)[/tex], so the oblique/slant asymptote is [tex]y=2x+3[/tex]

Solve the system of equations by the addition method.
2x - 5y = 4
7x - 2y = 4


Type in ordered pair.

Answers

Answer:

0.400

Step-by-step explanation:

Slope = 0.800/2.000 = 0.400

 x-intercept = 4/2 = 2

 y-intercept = 4/-5 = -0.80000

I need help with a law of sines question.

Answers

Step-by-step explanation:

B will equal 20.87 degrees

C will equal 42.1 degrees

c will equal 26.3

What is the slope of the line that passes through the points
(−5,−7) and (4,−1)? Write your answer in simplest form.

Answers

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

The slope is found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -(-7))/(4 -(-5)) = 6/9 = 2/3

The slope of the line is 2/3.

_____

The attached graph shows the equation of the line in point-slope form.


How would the numbers -40, 0, and 40 appear on a horizontal number line?

A. 0 on the left end, -40 in the middle, and 40 on the right end

B. 0 on the left end, and both 40 and -40 on the right end

C. 40 on the left end, 0 in the middle, and -40 on the right end

D. -40 on the left end, 0 in the
middle, and 40 on the right end
SUBMIT

Answers

Check the picture below.

If there are 42 boys and 30 girls in a room
Ratios

Answers

42 / 6 = 7

30 / 6 = 5

7 boys and 5 girls on each of 6 teams.

Note, this is the minimum number of boys and girls on a team.

There could be 70 boys and 50 girls on each of the 6 teams.

Or even 7000 boys and 5000 girls.

Ratio does not provide an specific number only the relation between two quantities

HELPPP LAST ATTEMPT!!

Answers

Answer:

B' (-1,-5)

Step-by-step explanation:

When it is reflected over the y-axis, the y coordinate stays the same but the x coordinate inverses. In this situation since the x in point B is a positive, the x in point B' will be a negative.

(-1,5)

since it’s being translated over the y axis the only coordinate that’s changing would be the x coordinate. when it’s translated over it would be the opposite to the original point. (positive original point would become a negative point after translated)
hope this helps!

How many litres of water can the cylinder hold??​

Answers

Answer:

1.386 litres of water can the cylinder hold.

Step-by-step explanation:

For a given Cylinder

Given:

radius (r) = 7 cm

height (h) = 9 cm

π = 22/7

Now,

Volume of the Cylinder

V = πr²h

V = 22/7 × 7 × 7 × 9 cm

V = 22 × 7 × 9 cm

V = 2 × 11 × 63 cm

V = 2 × 693 cm

V = 1386 cm³

Now, Divide 1386 by 1000

1386/1000 = 1.386 litre water

Thus, 1.386 litres of water can the cylinder hold.

-TheUnknownScientist 72

Precalculus graph function help please

Answers

B and c and d i think

Select the statements which could describe the graph of a nonproportional relationship.


Answers

Answer:

what it says iiiiiiii888i888iiiii

pls pls help i’ll mark brainliest quickly!!!
Part A: The number of cubic feet of water, y, in a pool 2 hours after the water starts flowing into the pool is a linear function. The points (40,3000) and (60,4000) lie on the line of the function. Calculate the slope of the line.

Part B: What does the slope of the line represent in Part A? Explain in your own words and use compete sentence.

Part C: Explain how the slope formula is related to the definition of slope. Use complete sentences.

Answers

Answer:

m=50

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Algebra I

Slope Formula:

Step-by-step explanation:

Step 1: Define

Point (40, 3000)

Point (60, 4000)

Step 2: Find slope m

               


If the perimeter of an isosceles triangle is
21cm. Find the product of the other two side if the base
side is 9cm

Answers

Answer:

6 cm for both sides

Step-by-step explanation:

6cm for both sides I

2x.67 find the product draw a picture

Answers

Answer:

1.34

Step-by-step explanation:

2x67/100

= 134/100

= 1.34

Which ordered pair is a solution of the
equation?
Y= 32x+5

Answers

Step-by-step explanation:

where are the ordered pairs?

Please help with the homework thanks

Answers

Answer:

1. 7

2. 8

3. 17 cars

4. 6 guppies

5. 54

6. 15 pencils

Step-by-step explanation:

Have a great day! Feel free to mark as brainliest! :)

Guys what's 1 9/15+ 1 5/15

Answers

Answer:

2 14/15. answer need to be 20

Could I get help…………

Answers

Answer:

B

Step-by-step explanation:

HOPE IT HELPS <3

MARK as brainliest

what's
- 5 3/4 + (-4 5/6) in simplest form​

Answers

Answer:

-(127/12)

Step-by-step explanation:

-23/4 -29/6 = -254/24

-254/24 = -127/12

Tara's pool is 50 yards in length and 20 feet in width. How many square feet is the pool? How many square yards in the pool? Show your work.

Answers

1 yard = 3 feet 3 x 50 = 150 ft. L x W = Area

150’x 20’ = 3,000 sq. ft. 3,000 sq ft. divided by 3 = 1,000 sq. yd.

Ahmad bought 11 pounds of sugar for $6.
How many dollars did he pay per pound of sugar?

Answers

66 dollars 11x6= 66 dollars

-2 (x+5) = 4
use the distributive property to solve the equation

Answers

Ok
-2x-10=4
Add 10 on both sides
X = -7
-2=14
Divide by -2

help me due today it is mathematics

Answers

Answer:

Miranda is correct because the value 7 makes the equation equal

I am not sure what goes in the blanks, those are my best guesses.

Step-by-step explanation:

34 = 27 + p

7 = p

Hopefully this helps!

Brainliest please?

10(-7y-2z)+4z-2(-8z+6y) simple form

Answers

The answer to this question should be -82y

[tex]10(-7y-2z) +4z -2(-8z+6y)\\\\=-70y -20z +4z +16z - 12y\\\\=-82y -4z+4z \\\\=-82y[/tex]


A collection of 77 quarters and dimes is worth $12.50. How many quarters are in the collection? PLS HELP ILL GIVE YOU BRAINLEST ANSWER

Answers

Answer:

32

Step-by-step explanation:

77 quarters and dimes

q + d = 77

subtract q from both sides

d = 77 - q

---------------------------

A collection of  quarters and dimes is worth $12.50 (1250 cents)

25q + 10d = 1250

substitute for d

25q + 10(77 - q) = 1250

distribute

25q + 770 - 10q = 1250

Combine like terms

15q + 770 = 1250

subtract 770 from both sides

15q = 480

divide both sides by 15

q = 32

What are the slope and y-intercept on the graph of the linear equation on the grid?​

Answers

Answer:

simple look at y intercept then look at slope or you can solve two points by using the formula y2-y1/x2-x1

but your formula is

y =1/2 +5 so b would be your answer

a car travels 55 miles per hour for 2 hours. How far did it travel in 1 1/2 hours

Answers

Answer:

82.5 miles in 1 1/2 hours

Step-by-step explanation:

Using the information the question gives us we can find the appropriate answer to this question by dividing the miles per hour by two, and then add that number to the additional miles per hour.

55 miles = one hour

2 hours = 110 miles

1 1/2 hours = 55 ÷ 2 = 27.5

55 + 27.5 = 82.5 miles

82.5 miles

Hope this helps

On a cold February morning, the temperature of the radiator fluid in Stanley’s car is Negative 18 degrees Fahrenheit. When the engine is running, the temperature of the fluid goes up 5.4 degrees Fahrenheit per minute. Approximately how long will it take before the radiator fluid temperature reaches 60 degrees Fahrenheit? (HELPP)

Answers

It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit

A function is said to be linear if it is a straight line graph and it can be represented by the equation:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the temperature in Fahrenheit of the radiator after t minutes.

Stanley’s car is Negative 18 degrees Fahrenheit. Hence b = -18. The  temperature of the fluid goes up 5.4 degrees Fahrenheit per minute. hence m = 5.4. The equation becomes:

y = 5.4x - 18

For the radiator fluid temperature to reach 60 degrees Fahrenheit:

60 = 5.4x - 18

5.4x = 78

x = 14.4 minutes

It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit

Find out more at: https://brainly.com/question/21835898

Need help on this plz and thanks

Answers

Answer:

y = 5x - 25

Step-by-step explanation:

Using the equation y=mx+b to determine the function. The line must be perpendicular, so the m (slope) value must be the opposite reciprocal of the given equation, which is 5. Then you have to solve the equation using the given point to find b.

10 = 5 * (7) + b

10 = 35 + b

-25 = b

So final equation is y = 5x - 25.

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