Suppose a classmate is having difficulty solving 4(x - 7) > 6x + 2 + 8x.
Explain how to solve the inequality, showing all the necessary steps and
identifying the properties you would use.

Answers

Answer 1

Answer:

X < -3

Step-by-step explanation:

First, you would want to distribute the 4 to the x and the -7. Distribution is just multiplying. So it would be 4x - 28. Then youd combine the like terms which would be 6x and 8x. Add them. You’re inequality should look like this.

4x - 28 > 14x + 2

you need to get the x’s all on one side. I suggest subtraction -4x from both sides to not only cancel out the 4x but it also keeps both sides equal

-28 > 10x + 2

you need to get 10x by itself on the right side so you must subtract 2 from both sides to equal and remove 2

-30 > 10x

divide both sides by 10 to get x by itself

-3 > x

which is the same as x < -3


Related Questions

Plz help ASAP this is important

Answers

Answer:

Option 3

Step-by-step explanation:

10x11=110 +3=113

113/11

Answer:

30/11

Step-by-step explanation:

this answer is 30/11

Question 4
At the beginning of each quarter, $100 is deposited into a saving account that pays 12% compounded monthly.
Find the future value (compound amount) of annuity for two years.

Answers

Answer:

$288

Step-by-step explanation:

12% monthly

144% yearly.

100*1.44*2 = all

all = 288

Hope this helps plz hit the crown :D

The correct answer is $288

Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 7 years?

Answers

Answer:

A≈107902

Step-by-step explanation:

The $107,902 will be in account after 7 years if Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

We have:

p = $90,000

r = 2.6% = 0.026

n = 4

t = 7 years

[tex]\rm A = 90,000(1+\dfrac{0.026}{4})^{4\times7}[/tex]

A = $107,901.71 ≈ $107,902

Thus, the $107,902 will be in account after 7 years if Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly.

Learn more about the compound interest here:

brainly.com/question/26457073

#SPJ2

Sam is 27 years old. His age is 6 years greater than 3 time's brandon's age. Which methond can be used to determine Brandon's age?
I NEED HELP

Answers

Answer:

Brandon is 7 years old. You just substitute. It's an age word problem.

Step-by-step explanation: Substitute it. 7 times 3 (times Brandon's age) is 21 then add the 6 (years greater).

Answer:

Brandon is 7 years old. You just substitute. It's an age word problem.

Step-by-step explanation: Substitute it. 7 times 3 (times Brandon's age) is 21 then add the 6 (years greater).

Step-by-step explanation:

Clara buys a sweater that is on sale for 1/4 off She says the total amount she
will pay will be equal to 3/4 of the original price of the sweater.
Is she correct?

Answers

I believe she is but I’m not entirely sure so maybe do some work on it

what is 5 divided by 5

Answers

Answer:

1

Step-by-step explanation:

You have 5 jelly beans and 4 imaginary friends

You have to split the jellybeans between yourself and your pretend friends.

Each of you gets 1 jellybean

(Except you get all the jellybeans because your friends don't exist)

Hope this helps :)

what is 11010base2 - 1101base2

Answers

Answer:

###########################

Step-by-step explanation:

lkaooassss

What's is the range 124 136 234 229 150
116 110 159 275 105
175 158 185 162 125
215 167 126 137 116

Answers

Answer:

the range is from 105 to 234

Step-by-step explanation:

HELP PLEASE!!
What is Y

Answers

Did you see the SBA said JK element PQRS do you are you can you ask why are you now I wanna ABC BON BON

Use the commutative property of multiplication to rewrite 10.5.12. Which expression is equivalent? O A. 10.5.(5+5) OB. 10. 12.5 O C. (10.5) + 12 OD. 10 + 5 + 12​

Answers

Answer:

b

Step-by-step explanation:

i did the math for over an hour and got the same answer 25 times

PLZ HELP NOW!!!! PLEASEE

Answers

C

Explanation:
When you plug them in,
(1)x+(0)y=9
x=9

When x is 9, it passes through the point (9,3)

Please help!!!! I will mark brainliest!!

Answers

Answer:

1 4 6 8 Have a good night ✨ ☺

They are all exponential functions

Determined to find the slope
(1 7K), and (-3,5K)​

Answers

Answer: [tex]\dfrac{K}{2}[/tex] .

Step-by-step explanation:

As we know ,

The slope of a line that passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]  is given by :

[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The slope of a line that passes through (1 , 7K), and (-3,5K)​ =

[tex]\dfrac{5K-7K}{-3-1}\\\\=\dfrac{-2K}{-4}\\\\=\dfrac{K}{2}[/tex]

Hence, the slope of the given line is [tex]\dfrac{K}{2}[/tex] .

what is the value of the digit 2 in 92153

Answers

Answer:

thousand is the correct answer :)))

2,000 or two thousand

A recipe uses 5 cups of flour for every 2 cups of sugar.

How much sugar is used for 1 cup of flour?
How much flour is used for 1 cup of sugar?
How much flour is used with 7 cups of sugar?
How much sugar is used with 6 cups of flour?

Answers

Answer:

2.5

Step-by-step explanation:

5 divided by 2= 2.5

Answer:

2.5

Step-by-step explanation:

Sofia is making quarter circle felt pieces for a sewing project. If the diameter of one full circle is 4.6 inches, what is the area of each quarter circle rounded to the nearest hundredth? use 3.14







3.61

4.15

16.61

66.44

Answers

Answer:

4.15

Step-by-step explanation:

Write the equation of the line fully simplified slope-intercept form

Answers

Answer:

y = 4/3x - 3

Step-by-step explanation:

y = mx + b

m is the slope and b is the y - intercept

The slope is rise/run, count how much it rises, or goes down, and how much it goes to the right. So there are points highlighted for us already, pick 2 points and count the units between them for rise it's 4, for run it's 3. So the slope is 4/3

b is the y-intercept, it's where the line goes through the y-axis, in this case it's -3

So plug the numbers in and it's y = 4/3x - 3

Which expression is equivalent to (-7-4i)(6+7i)?

Answers

Answer:

Step-by-step explanation:

-14 - 73 i

Answer:

-28i^2-73i-42

Step-by-step explanation:

(−7)(6)+(−7)(7i)+(−4x)(6)+(−4i)(7i)

= −42−49i−24i−28i^2

= -28i^2-73i-42

Which table represents a linear function?

Answers

it must be the first one 1/2,1,1 1/2,2 are came in order it forms a straight line

Answer:

This table represents a function. none of the independent values (X) are repeated and each has only one corresponding depedent value (Y).The next table does not represent a function.The X column has two values that are 3, and they correspond to two different values for Y.

4. -5x-15=-3x+23
29. -107-7x=73-13x
EXPLAIN STEPS AND SHOW WORK
THANKS BROTHA
`•••~Low_Millenial~•••`
°°°°°°Tutor and pal°°°°°°°​

Answers

Answer:

x=-19  x=30

Step-by-step explanation:

-5x-15=-3x+23

    -23      -23

-5x-38=-3x

+5x        +5x

-38=2x

/2       /2

-19=x

-107-7x=73-13x

-73         -73

-180-7x=-13x

      +7x   +7x

-180=-6x

30=x

Need help with question 4

Answers

9514 1404 393

Answer:

  16/7

Step-by-step explanation:

If the segments are congruent, their lengths are equal:

  (1/2)x -3 = 5 -3x

  (3 1/2)x = 8

  x = 8/(3.5) = 16/7

The value of x is 16/7.

_____

Comment on the question

This value of x makes the lengths of the segments be -13/7 units. Usually, negative lengths are considered impossible for line segments.

Which graph represents the function h(x) = |x| + 0.5? ​

Answers

Answer:
On a coordinate plane, an absolute value graph has a vertex at (negative 0, 0.5).
Step-by-step explanation:
h(x) = |x| + 0.5
Has its vertex at h(x) = 0, h(x) = |x| + 0.5
0 = |x| + 0.5
|x| = -0.5
So x = -0.5
So, the vertex is at (-0.5, 0)

Answer:

B

Step-by-step explanation:

please help me!!!
asap please please please

Answers

Answer:

I'm pretty sure its the 3rd answer

Answer:C

Step-by-step explanation:

For every white square there is 3 blue squares, so you look around the white swuare and around each white square is 3 blue squares

The taxi driver charges $3.50 just to get in the cab and then $2.50 per mile. If Lisa travels m miles, which equation
tells Lisa how much she will have to pay for her taxi ride, r?
A r = 2.5 +3.5
B = 3.5m + 2.5
r= 2.5m + 3.5
Dr= 2.5m - 3.5

Answers

Answer:r=2.5m+3.5

Step-by-step explanation:

the answer is 2.5m + 3.5 because we don't know how many miles the taxi driver drove

are the equations 2x - y = - 4 and 3x + y = -1 dependent, independent or neither

Answers

Answer:

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x-y=-4\\ 3x+y=-1\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}2x-y=-4\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:6x-3y=-12[/tex]

[tex]\mathrm{Multiply\:}3x+y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:6x+2y=-2[/tex]

[tex]\begin{bmatrix}6x-3y=-12\\ 6x+2y=-2\end{bmatrix}[/tex]

[tex]6x+2y=-2[/tex]

[tex]-[/tex]

[tex]\underline{6x-3y=-12}[/tex]

[tex]5y=10[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}6x-3y=-12\\ 5y=10\end{bmatrix}[/tex]

solving 5y = 10 for y

[tex]5y=10[/tex]

Divide both sides by 5

[tex]\frac{5y}{5}=\frac{10}{5}[/tex]

simplify

[tex]y=2[/tex]

[tex]\mathrm{For\:}6x-3y=-12\mathrm{\:plug\:in\:}y=2[/tex]

[tex]6x-3\cdot \:2=-12[/tex]

[tex]6x-6=-12[/tex]

Adding 6 to both sides

[tex]6x-6+6=-12+6[/tex]

[tex]6x=-6[/tex]

Divide both sides by 6

[tex]\frac{6x}{6}=\frac{-6}{6}[/tex]

[tex]x=-1[/tex]

Therefore, the solution to the system of equations be:

[tex]x=-1,\:y=2[/tex]

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

Mikaela will invest $2,500 in an account that pays her 7.5% over 2 years. How much interest will she receive? Also, how much will she make total?

Answers

Answer:

i. $375

ii, $2875

Step-by-step explanation:

Given

Princinpal=  $2,500

rate= 7.5%

time= 2 years

Required,

The simple interest, and the final amount

Step two:

SI= PRT/100

SI= 2500*7.5*2/100

SI=37500/100

SI=$375

The simple interest is $375

And the final amount = $2,500 +$375= $2875

Please Help and be honest !
Do you “binge-watch” television series by viewing multiple episodes of a series at one sitting? A survey of 800 people who “binge-watch” were asked how many episodes is too many to watch in one viewing session. The results are displayed in the bar chart.
Is this Quantitive or Categorical?
--------------------------------------------------------------------------------------------------------------------------------
ALSO:
Explain how this graph is misleading.
A. The bars are various heights
B. The words at the end
C. The vertical axis doesn't show zero
D. None of the above

Answers

Answer:

D or C

Step-by-step explanation:

What is the domain and range?

Answers

Answer:

Domain is your x max and Min, Range is your y max and Min

Step-by-step explanation:

Domain would be -5 to 8 or (-5,8)

range would be -3 to 2 or (-3,2)

Answer:

Domain is every value on the x axis that the line in on. -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 is the domain or -5 to 8. The range is every Y value.

Step-by-step explanation:

Basically, Domain is the x values of the whole line and range are the y values for the whole line. Hope I helped <3

Brooke measures the height of her bean plant for a science project. The bean plant is 12.5 inches tall.

How many centimeters tall is Brooke’s bean plant?

Answers

Answer:31.75 centimeters

Step-by-step explanation:

I think it’s gonna be 31.75

the distance between -3.17 and 0 on a number line is 3.17 units?

Answers

Answer:

Yes

Step-by-step explanation:

The absolute value, or distance of -3.17 from 0, is 3.17 units. The distance from 0 will always be postiive, because you can never be -5 units away from zero.

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