Solve the inequality for x:
4x - 28 > 16

Answers

Answer 1

We have:

4x - 28 > 16

Add 28 to both sides:

       [tex]4x-28+28>16+28[/tex]

Simplify:

       4x > 44

Divide both sides by 4:

      [tex]\dfrac{4x}{4}>\dfrac{44}{4}[/tex]

Simplify:

       [tex]\boxed{x>11}[/tex]

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x>11\:\\ \:\mathrm{Interval\:Notation:}&\:\left(11,\:\infty \:\right)\end{bmatrix}[/tex]

Solve The Inequality For X:4x - 28 > 16

Related Questions

f (x) = –2x+1
If
f (x) = 11
Find the value of x:

Answers

Answer:

Now x is equals to 11

-2(11) + 1 = - 22 + 1 = - 21

The answer is - 21

Thank you and please rate me as brainliest as it will help me to level up

A triangle has sides which are consecutive odd integers and an
angle of 120°. What is the perimeter of the triangle?

Answers

Answer:

Perimeter = 15

Step-by-step explanation:

We are told that the length of each of the 3 sides of the triangle are consecutive odd integers.

Thus means that we can write the 3 terms as;

(x - 2), x, (x + 2)

Thus, perimeter is;

P = (x - 2) + x + (x + 2)

P = 3x

If an angle is 120°, it means that the corresponding side that is directly opposite the angle is the largest side of the triangle.

Thus, this side is (x + 2)

Using cosine rule, we have;

(x + 2)² = x² + (x - 2)² - 2(x(x - 2))cos 120

Expanding, we have;

x² + 4x + 4 = x² + x² - 4x + 4 - (2x² + 4x)(-½)

This reduces to;

4x = x² - 4x + x² - 2x

2x² = 10x

2x = 10

x = 10/2

x = 5

Thus, other sides are;

(x - 2) = 5 - 2 = 3

And (x + 2) = 5 + 2 = 7

So,perimeter is;

P = 3x = 3 × 5 = 15

Write the slope-intercept form of the line that passes through the point (1, 0) and is parallel to x - y = 7. Type your answer in the box provided or use the upload option to submit your solution.

Answers

Answer:

y = x - 1

Step-by-step explanation:

If it's parallel to x - y = 7, that means the slope of that equation is the slope for the equation you're looking for.  

To get the slope, you need to put the given equation into slope intercept form, so move x to the other side. You should get: -y = 7 - x

Then, to get the y positive, divide by -1:     y = -7 + x

Slope intercept form is as follows: y = mx + b, so whatever the number is in front of x is your slope. In this instance, your slope is 1.

You now have your slope, and a point in which your new line passed through. Using slope intercept form, y = mx + b, if you substitute in what you know, you can find your answer. Right now you know y, m, and x, and you're looking for b.  

x=1; y=0; m=1.  

So, substituting, you'd get 0 = (1)(1) + b

0=1+b     Solve

You should get b= -1, leaving your final answer as y = x - 1

y=x+1 is the slope-intercept form of the line that passes through the point (1, 0) and is parallel to x - y = 7.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find slope-intercept form of the line that passes through the point (1, 0) and is parallel to x - y = 7.

The slope will be same as it is parallel.

x - y = 7.

-y=7-x

y=x-7

Slope is 1.

Now equation of line passing through (1,0)

0=1(1)+c

c=-1

y=x-(-1)

y=x+1

Hence y=x+1 is the slope-intercept form of the line that passes through the point (1, 0) and is parallel to x - y = 7.

To learn more on slope of line click:

https://brainly.com/question/14511992

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write the slope intercept-form of the equation of the line through the given points.

Answers

Answer:

qs,wdnfm.ew fw v

Step-by-step explanation:

wdmc vw.mv / n,v

make 32 into a fraction

Answers

Answer:

8/25

Step-by-step explanation:

Answer:

32/1

Step-by-step explanation:

Hope this helps

PLZZ MARK BRAILNELIST

A system of equations is shown below: 2x = 5y + 4 3x − 2y = −16 What is the solution to this system of equations? (5 points) (−8, −4) (8, 4) (−4, −8) (4, 8)

Answers

Answer:

(-8,-4)

Step-by-step explanation:

Answer:

EASY (-8,-4)

Step-by-step explanation:

Select the correct answer.
Libby bought 250 stocks of a company named Xylet last year. Xylet's total earning for the year is $ 4million and it has 1,000,000 outstanding
stocks. What is Xylet's Earning per share (EPS)?
OA. 4
OB. 0.04
C. 40
OD
400

Answers

Stocks = 250

Net income = $4,000,000

Outstanding Shares = $1,000,000

Earnings Per Share = ?

Formula: EPS = Net Income / Outstanding Shares

Solution: EPS = Net Income / Outstanding Shares

= $4,000,000 / $1,000,000

= 4

Answer: Earnings Per Share = 4

Answer:

4

Step-by-step explanation:

PLATO correct answer

Five-Hundred Ninety-Eight times four

Answers

5 9 8

×    4

2 3 3

2 3 9 2

2392 is your answer

The answer 2,392!!!!!


Find the missing side length of JK .

Answers

Answer:

I'm pretty sure it's 16

Step-by-step explanation:

it measures up with the other triangles side

x^2- 11 = 70 I need help on how to solve this

Answers

Answer: Add 11 to the other side of the equation, giving you 81. Then, since x is square you are going to need to square root both sides ([tex]\sqrt{x}[/tex] this symbol). When you do that, you should get what x is! Let me know if you still need help!

I need to find the answer for "n" -(n - 8) = -2

Answers

Answer:

n = 10

Step-by-step explanation:

you can also use( Math -way) its a calculator for any math problem gives you answers fast :) hope i helped  

Unit Test Review Active 1 2 3 Which best describes a model of ? five wholes divided into 12 equal pieces twelve wholes divided into 5 equal pieces a whole divided into 5 equal pieces with 12 pieces shaded in O a whole divided into 5 equal pieces and another whole divided i​

Answers

Answer:

15%

Step-by-step explanation:

Trust me, i took the K12 test and got it correct :)

Which compound inequality could be represented by the graph? -5 4 -3 -1 0 4 0 X5 3 or x>-1​

Answers

_44_3_10 4 0 ×53 ×<9 =02947</245

Mr. Schneider paid $2276.35 to have a landscaper build a patio with the dimension below. How much did the landscaper charge for each square metre of patio? 3.2m 5.4m 1.8m 1.2m

Answers

Answer:

Step-by-step explanation:

Since we are not given the dimension. Let us say the shape of the patio is a rectangle with length 30m and width 18m.

Area of the rectangle = Length * Width

Area of the rectangle = 30 * 18

Area of the rectangle = 540m²

This means that 540m² of the patio costs $2276.35. To get the cost of each square metre of patio, we will say;

540m² = $2276.35

1m² = x

cross multiply;

540x = $2276.35

x = $2276.35/540

x = $4.22

Hence each square meter of patio will cost $4.22

Note that the dimension of patio was assumed. Same explanation can be employed for any dimension.

3/5 of Camden's toys are orange. What percentage of Camden's toys are not orange?

Answers

Answer:

2/5

Step-by-step explanation:

Answer:2/5

Step-by-step explanation:

Estimate 61.26 - 59.593 by first rounding each number to the nearest whole number.

Answers

Answer:

1

Step-by-step explanation:

61.26=61

59.593=60

61-60=1

Answer:

1

Step-by-step explanation:

61.26 rounded to the nearest whole number = 61

59.593 rounded to the nearest whole number = 60

61 - 60 = x

61 - 60 = 1

x = 1


Picture a rectangular prism with a volume of 150 cubic units. What is the number of unit cubes that would fill the volume of this prism if they were packed without any gaps or overlaps?

Answers

Answer:

150 units woild fill the volume of the prism.

factorise the following fully:
6a⁴b⁶-8a³b⁵+12a²b³​

Answers

Answer:

2a^2 b^3(3a^2 b^3 - 4ab^2 + 6)

What is the solution to this system of equations?
3x + 2y = 10
2x + 4y = 4
0 (4,-1)
O (4,1)
O (1,2)
O (-4,3)

Answers

You can use elimination for this one so you can say

-2(3x+2y=10)
+2x+4y=4

So you have

-6x-4y=-20
+2x+4y=4

So you have

-4x=16

So x=-4

And then you can plug x into any one of the equations and solve for y

2(-4)+4y=4

-8+4y=4

Add 8 on both sides to get

4y=12

y=3

So in ordered pair form your answer is (-4,3)

Hope this helps!! Mark as brainliest!!!

A city council consiste of 8 democrats and 6 republicans. If a committee of 4 people is selected,find the probability of selecting 2 democrats and 2 republicans

Answers

Answer:

Step-by-step explanation:

8C2  * 6C2

============

14C4

8C2 = 8*7/1 * 2 = 28

6C2 = 6*5 / 1*2 = 15

14C4 = 14*13 *12 * 11 / (1 * 2 * 3 * 4) = 1001

28 * 15 / 1001 = .4195

A function f (x)is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
Enter your answer in the box.
f(x) =

Answers

Answer:

f(x) = 2x + 1

Step-by-step explanation:

We can see y-intercept is 1 as per point (0, 1)

Using another point to find the slope (-3, -5)

m = (1 - (-5))/(0 - (-3)) = 6/3 = 2

So the function is:

f(x) = 2x + 1

4x+5=17-2x systematic method solve the equation and check result​

Answers

Answer:

x=2

Step-by-step explanation:

add 2x to both sides and subtract 5 from both sides

6x = 12

divide by 6

x=2

Peter hired a cleaning company to clean his house. The cleaning company charges a fixed fee of $15 plus $17 per hour to clean a house. A second cleaning company charges $20 per hour to clean a house. The second company does not charge a fixed fee in addition to their hourly rate. For what number of hours is the total amount charged for cleaning a house the same for both companies? Show or explain how you got your answer.

Answers

Answer:

5 hours

Equations:

first company: 17x+15

second company: 20x

Proof:

17(5)+15 => 85+15 => 100

20(5) => 100

Answer:

5 hours

Step-by-step explanation:

7/2x + 1/2x = 9 + 9/2x
the value of x is

Answers

Answer:

Step-by-step explanation:

X is -18

Whats the ANSWER GIVING BRAINLIEST TO RIGHT ONE:)

Answers

Answer:

C

Step-by-step explanation:

I believe this is the correct one.

Answer:

C

Step-by-step explanation:

C has the point (-2, -3.5) and the point (0.5, -4)

4. What is the solution to the system of equations?

Hint: Solve each equation for y first, then graph.

5. What is the solution to the system of equations?

Answers

Answer:

4. The solution to the system of equations is: (2,-1)

5. The solution to the system of equations is: (3,5)

Step-by-step explanation:

4. What is the solution to the system of equations?

[tex]2x+3y=1\\-3x+4y=-10[/tex]

Let:

[tex]2x+3y=1--eq(1)\\-3x+4y=-10--eq(2)[/tex]

Multiply eq(1) by 3 and eq(2) by 2 and add both equations

[tex]6x+9y=3\\-6x+8y=-20\\---------\\0x+17y=-17\\y=\frac{-17}{17}\\y=-1[/tex]

So, value of y=-1

Now finding the value of x bu putting value of y in eq(1)

[tex]2x+3y=1\\2x+3(-1)=1\\2x=1+3\\2x=4\\x=\frac{4}{2}\\x=2[/tex]

So, value of x=2

The solution to the system of equations is: (2,-1)

5. What is the solution to the system of equations?

[tex]y=2x-1\\6x-y=13[/tex]

Let:

[tex]-2x+y=-1--eq(1)\\6x-y=13--eq(2)\\------\\4x=12\\x=\frac{12}{4}\\x=3[/tex]

So, value of x=3

Putting value of x in equation 1 to find value of y

[tex]y=2x-1\\y=2(3)-1\\y=6-1\\y=5[/tex]

So, value of y=5

The solution to the system of equations is: (3,5)

Which inequalities have no solution? Check all of the boxes that apply. 1. x > x 2. –3x –3x 3. –4 + x > –2 + x 4. x – 2 < x + 3

Answers

Answer:

1, 3

Step-by-step explanation:

1. x > x

Technically, one number cannot be more than itself. It can only equal to itself.

3. –4 + x > –2 + x

If you minus x from both sides of the equation, it becomes:

-4 > -2

This is not true no matter what x is, thus it has no solution.

4. x – 2 < x + 3

If you add 2 on both sides, it becomes:

x < x + 5

This inequality is possible and has infinitely many solutions.

Note: I will update this answer and address Question 2 once the inequality sign is given :)

What is opportunity cost?

1. the limited availability of goods or services
2. a benefit lost when choosing between two options
3. the resources used to produce finished goods or services
4. a system of directly exchanging goods or services for other goods or services

Answers

A venue for lost when choosing between two options (2)
I just did this on edge

Answer:

the answer is 2

Step-by-step explanation:

Bcz u choseine option and lose the next bet benefit

Please help Express both quantities in each comparison
using the same units. Write the comparison
as a ratio in fraction form. Then write an
equivalent ratio using whole numbers.
a) 85¢ to $1.20 b) 24 kg to 80 g

Answers

Answer:

1a) .85/1.20 = 85/120 = 17/24. 2a) 17:24

1b) 24000/80 = 2400/8 = 300/1. 2b) 300:1

_______________________________

I believe this is what the problem is asking.

What’s the angles relationship?

Answers

Answer:

The relationship between the angles would be parallel because they are the exact same degree now if they were different degrees their relationship would be perpendicular but with them being the same the answer is parallel

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