simplifying expressions in inequalities....-6x+22 1/4+2x>9 3/4 +16 1/2......i did this equation but when i plug in the numbers for x, it's false. the answer i got on the inequality is x<-1​

Answers

Answer 1

Answer:

[tex]x < -3\frac{3}{4}[/tex]

Step-by-step explanation:

Given

[tex]-6x+22\frac{1}{4}+2x &gt; 9\frac{3}{4} +16\frac{1}{2}[/tex]

Required

Solve for x

[tex]-6x+22\frac{1}{4}+2x &gt; 9\frac{3}{4} +16\frac{1}{2}[/tex]

Collect Like Terms

[tex]-6x+2x &gt; 9\frac{3}{4} +16\frac{1}{2}-22\frac{1}{4}[/tex]

[tex]-4x &gt; 9\frac{3}{4} +16\frac{1}{2}-22\frac{1}{4}[/tex]

Convert all fractions to improper fractions

[tex]-4x &gt; \frac{39}{4} +\frac{33}{2}-\frac{45}{4}[/tex]

Take LCM

[tex]-4x &gt; \frac{39+66- 45}{4}[/tex]

[tex]-4x &gt; \frac{60}{4}[/tex]

[tex]-4x &gt; 15[/tex]

Divide through by -4; When an inequality is divided by a negative number, the inequality changes.

[tex]\frac{-4x}{-4} &lt; \frac{15}{-4}[/tex]

[tex]x &lt; \frac{15}{-4}[/tex]

[tex]x &lt; -\frac{15}{4}[/tex]

Convert to improper fraction

[tex]x < -3\frac{3}{4}[/tex]


Related Questions

point a and b are placed on a number line. point a is located -20 and point b is 5 less than point a. where is point b located

Answers

Answer:

-25

Step-by-step explanation:

1Maritza is baking cookies to bring to school and share with her friends
on her birthday. The recipe requires 3 eggs for every 2 cups of sugar. To
have enough cookies for all of her friends, Maritza determined she would
need 12 eggs. How many cups of sugar will she need? Please help

Answers

Answer:

36 cups of sugar will be needed. (Can you go to my account and help me out please and thank you! <3)

Step-by-step explanation:

12x3=36

C U12122 Write a Sum or Difference as a Product A 8 Questions 1. Use the GCF to rewrite the sum as a product. 30 + 16 a) 8 (3+2) 0 b) 5 (6+ O ) 1 (30+16) d) 2 (15+8​

Answers

Answer:

2(15+8)

Step-by-step explanation:

Given the expression 30+16

We are to use GCF to rewrite the sum as a product.

Get the factor of each value first as shown;

30 = 2 * 15

16 = 2 * 8

substitute the factors back into the expression:

30+16 = (2*15)+(2*8)

Since 2 is common to both terms, then:

30+16  = 2(15+8)

Hence the required sum of product of the terms is 2(15+8)

write an equation of a line that passes through the following tow points (4, -6) and (2, 8) show work

Answers

Answer:

[tex]y = -7x + 22[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (4,-6)[/tex]

[tex](x_2,y_2) = (2,8)[/tex]

Required

Determine the line equation

This question will be answered using linear interpolation.

This is represented as thus:

[tex]\frac{y - y_1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substitute values for x1,x2,y1 and y2

[tex]\frac{y - (-6)}{x - 4} = \frac{8 - (-6)}{2 - 4}[/tex]

[tex]\frac{y +6}{x - 4} = \frac{8 +6}{2 - 4}[/tex]

[tex]\frac{y +6}{x - 4} = \frac{14}{-2}[/tex]

[tex]\frac{y +6}{x - 4} =-7[/tex]

Cross Multiply

[tex]y + 6 = -7(x - 4)[/tex]

[tex]y + 6 = -7x + 28[/tex]

Make y the subject

[tex]y = -7x + 28-6[/tex]

[tex]y = -7x + 22[/tex]

Which fraction is equivalent to 3^-3

Answers

Answer:

[tex]\frac{1}{3^3} = \frac{1}{27}[/tex]

Step-by-step explanation:

[tex]a^{-n} = \frac{1}{a^n}[/tex]

Good luck!

help me i need this done by monday

Answers

Answer:

the common denominator for the first question is 36

So 36, to get that you multiply 4 by 9 and 9 by 4.

you’d get

3 4/36 + 2 9/36

you’d get 5 13/36

That bai scaly answers both parts

Answer:

5 13/36 or 193/36 depending on what the computer wants you to answer.

Step-by-step explanation:

For Part A:

Put in 5 13/36 as your answer after you find out or 193/36.

For Part B:

Multiply the first fraction by 4 and the second fraction by 9 to get 36 for each denominator.  Transform the whole numbers by multiplying 36 to each number and adding it to the numerator, you would get 193 as your top numerator as a result, if you are converting to whole numbers then convert it to 5 13/36.

Use the coordinate grid to determine the coordinates of point P: A coordinate grid shown from negative 2 to positive 2 on x-axis and negative 2 to positive 2 on y-axis. There are 4 grid lines between a whole unit of the grid. A point labeled P is shown at the intersection of 8 grid lines to the left of the y-axis and 4 grid lines above the x-axis. What are the coordinates of point P?
(.8, −0.4)
(−0.8, 0.4)
(1.6, −0.8)
(−1.6, 0.8)

Answers

Answer: Option D:  (-1.6, 0.8) are the coordinates of the point P

It is given that "A coordinate grid shown from negative 2 to positive 2 on x-axis and negative 2 to positive 2 on y-axis. There are 4 grid lines between a whole unit of the grid".

Thus, the value of each grid is 0.2

It is also given that, "A point labeled P is shown at the intersection of 8 grid lines to the left of the y-axis and 4 grid lines above the x-axis".

Since the point P lies on the left of the y-axis and above the x-axis, the x-value will be negative and y-value will be positive.

Thus, the value of x-axis is given by

8*0.2=-1.6

And the value of y-axis is given by

4*0.2=0.8

Thus, the coordinates of the point P is

(-1.6, 0.8)

Hence, Option D is the correct answer.

Hope this helps... Stay safe and have a great day/night!!! :D

Answer:

The answer is D :)

Step-by-step explanation:

A Norman window consists of a rectangular region topped by a semi-circular region. How many square feet are in the area of the glass needed to fill the two regions of a Norman window whose rectangular region measures 2 feet by 3 feet, as shown? Express your answer to the nearest whole number.

Answers

Answer:

8

Step-by-step explanation:

i did the mathcounts practice

After swimming 50 feet below the surface of the water, a
fish swims up 30 feet. Use a number line to help you create
an equation that shows the new location of the fish in
relation to the water's surface.

Answers

Answer:

20, c

Step-by-step explanation:

50-30=20 Go 50 down a number line from 50, you're at 0, then go back up 30. Where are you at? 20 Hope this helps! Have a good day! :)

Disregard the "!"
A) Give the four terms of the 4th partial sum (S4)

B)What is the maximum error if we approximate sin(2) with S4?

c) what does your calculator tell you sin(2radians) is equal to, to three decimal places?

d)is the error less than the answer for C?

Answers

Answer:first give brainilst and i answer

Step-by-step explanation:

A car travels 225 meters in 15 seconds. A bus travels 500 meters in 25 seconds. Which vehicle is travelling faster? Car or bus?

Answers

Answer:

The bus was traveling faster.

Step-by-step explanation:

Remember; Distance = Speed * Time, or D = S * T

Steps for each problem;

- set up the equation

-substitute in the given values

- solve

Car; Distance = Speed * Time

225 = Speed * 15

15 mps = Speed

Bus; Distance = Speed * Time

500 = Speed * 25

20mps = Speed

Car ... Bus

15 < 20

The bus was traveling faster.

what is the solution to this equation? In(2x+4) = (x+3)

Answers

x= -1

2x+4-x=x+3-x subtract x from both sides
x+4=3
x+4-4=3-4 subtract 4 from both sides
Therefore, x=-1
2x+4=x+3=2x-x=3-4=(x=-1)

-9.2 + 4.4=
-81.4 + (-12)=

Answers

Answer:

-9.2 + 4.4 = -4.8

-81.4 + (-12) = -93.4.

-9.2+4.4=-4.8
-81.4+(-12)=-93.4

Write the equation of the line in slope intercept form

Answers

Answer:

y = -8x/2 - 5

Step-by-step explanation:

slope is -8/2 and the y intercept is -5

A map has a scale of 1 cm : 5 km. Determine how far apart two cities are if they are 4 cm apart on the map?

A. 1/x=4/5
B. 1.5=4/x
C. 1/5=40/x
D. 1/x=5/40

Answers

Answer:

he is right its A

Step-by-step explanation:

Write an equation of the line in slope-intercept form, (-3, -1), (-1, 3)

Answers

Answer:

Y=2x+5

Step-by-step explanation:

3 - -1

—-—— = 2=m

-1 - -3

Please please help me!!!!!!!!!!!!!!!!!!

Answers

Answer:

6/39

simplified - 2/13

Step-by-step explanation:

There are 5 teams and thier names are super brains witch has 20 points, space cadets have -25 points, know it all’s have -10, smarty pants have 25 points and rockets have -15 by how many points is know it all beat the space cadets? Second question by how many points is the super brains beat the rocket scientist

Answers

Know it all's are beating the space cadets by 15.

Super brain is beating the rockets by 35.

In a large population, 68% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

Answers

Answer:

0.97

Step-by-step explanation:

Fill in the blanks to explain Meera's UDid​

Answers

Answer:

is there a pic of sum sort lol

Step-by-step explanation:

Determine the open t-intervals on which the curve is concave downward or concave upward. (Enter your answer using interval notation.) x = sin t, y = cos t, 0 < t < π

Answers

Solution :

We have been given a parametric curve :

x = sin t , y = cos t , 0 < t < π

In order to determine concavity of the given parametric curve, we need to evaluate its second derivative first.

Therefore,

[tex]$\frac{dx}{dt} = \cos t, \ \frac{dy}{dt}= - \sin t$[/tex]

[tex]$\therefore \frac{dy}{dx}= \frac{- \sin t}{\cos t}$[/tex]

        [tex]$=- \tan t$[/tex]

Taking double derivatives of the above equation:

[tex]$\frac{d^2y}{dx^2}= - \frac{d}{dx}(\tan t) $[/tex]

      [tex]$= - \sec^2 t \frac{dt}{dx}$[/tex]

     [tex]$= - \sec^2 t \left(\frac{1}{\cos t}\right)$[/tex]

    [tex]$= - \sec^3 t$[/tex]

For the concave up, we have

[tex]$\frac{d^2y}{dx^2} > 0$[/tex]

[tex]$\Rightarrow - \sec^3 t > 0$[/tex]

∴ [tex]$t \ \epsilon \left( \frac{\pi }{2}, \pi \right)$[/tex]

For the concave down, we have

[tex]$\frac{d^2y}{dx^2} < 0$[/tex]

[tex]$\Rightarrow - \sec^3 t < 0$[/tex]

[tex]$t \ \epsilon \left( 0,\frac{\pi }{2} \right)$[/tex]

how do you write 1/8 of q added to 4 as an algebraic expression?

Answers

Answer:

1/8q + 4

Step-by-step explanation:

If you multiply q by 1/8 you will get 1/8 of q. Then you add it to 4.

I hope this helps!!!

Brainliest?

The answer is 1/8q + 4

What is the equation of the line that passes through the point(−7,−1) and has a slope of 1?

Answers

Answer:

y=x+6

Step-by-step explanation:

Put (-7,-1) into

y-y1=m(x-x1) form, and m=1 (the slope)

y+1=1(x+7)

y+1=x+7

y=x+6

Happy Holidays!

Which equation represents the line shown on the graph ?

Answers

Answer:

The equation should be:

2x + 2y = 4

Hope it helps! :D

CAN SOMEONE PLEASE HELP ME????!!!???!!!

Answers

Answer: the perpendicular =  not a linear

the parellel = not a linear

Step-by-step explanation:

Where is the question ?? So I can answer

hope it helps

Where’s question????

What is this expression in simplest form?

Answers

A
Aaaaaaaaaaaaaaaaaaaaaaaaa

A batter swings once at every 3 pitches. How many swings would he have after 141 pitches ?

Answers

Answer:

47 swings.

Step-by-step explanation:

If he had 141 pitches, and swings once after 3 pitches, then the equation would be 141 / 3. 141 / 3 = 47. He would have 47 swings after 141 pitches.

Each endpoint of a side of a polygon is
called a ___.

a. diagonal.
b. vertex
c.corner

Answers

The endpoint of a side of a polygon is called a___ the answer is B

Answer:

B. vertex

Step-by-step explanation:

Vertex, Vertices. each endpoint of a side of a polygon. Convex. a polygon such that no line containing a side of the polygon contains a point in the interior of the polygon.

Also can u pls mark me brainliest

please help fasttt!!

Answers

Answer:

RM = 35

Step-by-step explanation:

IF MR and RP equal each other, then you can do 2x + 25 = 7x, then 25 = 5x, then 5 = x to find x, then plug in x for 7x to get 35.

This is ONLY VALID IF RN is a bisector of MNP.

PLEASE HELPP i’ll mark u brainliest

Answers

Answer:

1

Step-by-step explanation:

Assuming your graph has a line with a starting and ending point, and more than two points, the relative minimum is the lowest part of your line where it changes direction. It is the point where the function changes from increasing to decreasing. The opposite is true for the relative maximum.

b and f are relative maximums. a c e g are neither.

Other Questions
Observe: Drag the Oxygen, Glucose, Carbon dioxide, and Water into the CYCLE pane. A. Which substances are inputs in photosynthesis? ____________ ____________ B. Which substances are outputs of photosynthesis? ____________ ____________ C. Which substances are inputs in respiration? ____________ ____________ D. Which substances are outputs of respiration? ____________ ____________ Which best explains why the Supreme Courts decision in Plessy v. Ferguson was unconstitutional? A piece of chalk becomes shorter as it is used. Which of the following is NOT true of the shorter piece of chalk?wO A. Its mass has changed.OB. Its shape has changed.O C. Its volume has changed.OD. Its characteristic properties have changed. A sector with an area of \goldE{26\pi\,\text{cm}^2}26cm 2 start color #a75a05, 26, pi, start text, c, m, end text, squared, end color #a75a05 has a radius of \maroonD{6\,\text{cm}}6cmstart color #ca337c, 6, start text, c, m, end text, end color #ca337c. What is the central angle measure of the sector in radians? What is remarkable about the US constitution? traits characteristics or features of an organism that are passed from parent to offspring Shannon has already cycled 9 kilometers this year, plus she plans to cycle 1 kilometer during each trip to work. How many trips will Shannon have to make to cycle a total of 50 kilometers? Renee wants to join the local gym. The cost of the membership can be represented by the equation, y=12x+35, where x is the number of months of the membership, and yis the total cost.What is the initial membership fee before any months are considered? Which variable is the cause in an experiment?a.) independentb.) dependentc.) controld.) constant please help with this could you plz answer these questions? Why were the major powers concerned with Crimea I need help on this Which of the lines below has a slope of zero?BDOA. Line AOB. Line BOC. Line COD. Line D Alan added 27 fish to his pond over a period of 9 days. He added the same number of fish each day. What was the change in the number of fish in the pond each day? Solve the inequality below: Shelia is dividing x4 4x3 + 4x2 6x + 5 by x 1 using a division table.QuotientDivisor x3 3x2+ x 5xx43x3x2A 1x33x2BCWhat are the missing values in the table? Type the correct answer in the box. Spell all words correctly.Which type of production model would be used in an oil refinery?An oil refinery would use a _____production model. Los chicos__________mis llaves ayerA.encontr B.encontraron C.encontr D.encontraste E.encontramos What was the fate of south vietnam following the peace treaty signing?A. south vietnam agreed to a unification with north vietnamB. south vietnam took over north vietnamC. north vietnam took over south vietnam