Write an inequality in slope intercept form from the linear inequality graphed below.

Write An Inequality In Slope Intercept Form From The Linear Inequality Graphed Below.

Answers

Answer 1

The inequality represented by the graph in slope intercept form is

y ≤ 2x - 4

How to find the inequality the graph represents

A graph is a pictorial representation of data and the graph presented represents inequality data

The graph shows a linear function written in the slope intercept form  form as

y = mx + c

where slope, m calculated as

c = intercept

x = input variables

y = output variables

calculation of slope

The points used for the slope is gotten from the graph as (2. 0)  (0, -4)

m = (y₂ - y₁) / (x₂ - x₁)

substituting the values

= ( -4 - 0 ) / ( 0 - 2 )

= -4 / -2

= 2

y intercept, c

this is a point where the graph cuts the y axis

c = -4

The graph contains

a solid line as result there will be "equal to" attached to the inequality symbol usedshading below the line means less than

this gives the idea to use less than or equal to written with the symbol ≤

hence the equation is written using y = mx + c and substituting the values

y ≤ 2x - 4

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Related Questions

A gallon of water contains 128 fluid ounces. A rain barrel can hold 6,400 ounces of rainwater.
Estimate how many gallons of water can the barrel hold?

Answers

Answer:

50 gallons

Step-by-step explanation:

6400 ÷ 128

= 50

9. The sum of two numbers is 130 and their difference is 34. Let x be the first number and y be the second
number. Set up a system of equations and use the elimination method to find the numbers. You must
show your work.

Answers

Using the system of equations and use the elimination method the two numbers are 82 and 48.

What is the elimination method?

To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are equal.

Here, we

let the first number = x

let the second number = y

according to the given conditions:

x + y = 130 ........(1)

x - y = 34 .........(2)

Using the elimination method we add both equations (1) and (2) and we get

2x = 164

x = 164/2 = 82

Now, we substitute the value of x in eq (1) and we get

82 + y = 130

y = 130-82

y = 48

Hence, using the system of equations and use the elimination method the two numbers are 82 and 48.

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2. Solve the application problem.

Find the area of a mirror that measures 2 yards by 7/8 yard.

A. 1 3/4 yd^2
B. 5 3/4 yd
C. 1 3/4 yd
D. 5 3/4 yd^2​

Answers

Answer:

Area =  l × w

=  2 × 0.875

=  1 3/4 yd^2 or 1.75 yd^2

hope i helped

Step-by-step explanation:

Find x in this equation.

3/8 = 15/5x - 2

Answers

Answer:

x=19/24

Step-by-step explanation:

3/8=15/5x-2

3/8= 3x -2 |*8

3=24x-16

24x=19

x=19/24

Jeffrey earns a constant hourly rate of $12.25 at the tire shop. Which of these best represents the relationship between the number of hours Joseph worked, h, and his total amount earned, t?

Answers

Answer:

The correct equation is t = 12.25h.

Find the missing number in the following puzzle.

Answers

Try 14 and 25 ………… ……

2
Linda paid $5.50 for 4 pounds of
strawberries. How much did she pay
per pound of strawberries?

Answers

Answer:

$ 1.38

Step-by-step explanation:

5.50 ÷ 4 = 1.375. rounded to 2 dp: 1.38

I understand it but it won't give me the marks for explaining. What should I try?​

Answers

Answer:

B is never true

Step-by-step explanation:

you can't get a negative number when you have a even power

What is [tex]\frac{1000}{\frac{4}{3}\pi }[/tex]

Answers

The result of the expression as given in the task content is; 750/π.

What is the result of the quotient?

It follows from the task content that the result of the division operation as given in the task content is to be determined.

Given the expression; 1000 ÷ (4/3)π

The expression can therefore be rewritten as follows;

1000 × (3/4) π

Hence, we have;

3000/4π

By further simplifying the expression; we have;

750/π

Hence, the result of the division as given in the task content is; 750/π.

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Evaluate (6x+3y)-z^(2)÷(2x) when x=-3,y=4,z=-6

Answers

Answer:

24.

Step-by-step explanation:

1. Write the expression.

[tex](6x+3y)-\frac{z^{2}}{(2x)}[/tex]

2. Substitute the variables by the respective given value using parenthesis.

[tex](6(3)+3(4))-\frac{(6)^{2}}{(2(3))}[/tex]

3. Simplify the expression by applying the hierarchy or mathematical operations.

a) Solve parenthesis.

[tex](18+12)-\frac{(6)^{2}}{6}\\ \\30-\frac{(6)^{2}}{6}[/tex]

b) Solve the exponent.

[tex]30-\frac{36}{6}[/tex]

c) Divide.

[tex]30-6[/tex]

d) Subtract.

[tex]24.[/tex]

If you make $4 on a sale of one share of stock that you bought for $22, what is your ROI?

Answers

Answer:

$26

Step-by-step explanation:

1.) Ace wanted to buy a gift for his mother
worth $18.60. He has $7.40 in Savings
and another $6.30 Saved from his
allowance for the past two weeks. How much more
does he need to save this week?

Answers

Answer:

$4.90

Step-by-step explanation:

He already has $13.70 (7.40+6.30) saved up so you have to subtract that from 18.60 to find the total Ace needs to save up.

18.60-13.70=4.90

To check your answer, you can add 7.40, 6.30, and 4.90 and see if you get a total of 18.60.

Check: 7.40+6.30+4.90=18.60

A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 4 points with 99% confidence assuming S=13.8 based on earlier​ studies? Suppose the doctor would be content with 90 confidence. How does the decrease in confidence affect the sample size​ required?

Answers

The way the decrease in confidence affect the sample size​ required is: A. Decreasing the confidence level decreases the sample size needed.

How to find the sample size ?

Using this formula to find the decrease in sample size

n = [zs/E]^2

Where:

n = Sample size

zs = z-score

E=  margin of error

Confidence coefficient for 99% = 2.58

Hence,

2.58 × 13.8/sqrt(n) = 0.04

2.598 × 13.4 /0.04 = sqrt(n)

( 2.598× 13.8 /0.04)^2  = n

n=803,371.6

So,

Confidence coefficient for 90% = 1.64

n= (1.64× 13.8/0.04)^2

n =320,129.64

Therefore the correct option is A.

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The complete question is:

A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 4 points with 99% confidence assuming S=13.8 based on earlier​ studies? Suppose the doctor would be content with 90 confidence. How does the decrease in confidence affect the sample size​ required?

How does the decrease in confidence affect the sample size required

A. Decreasing the confidence level decreases the sample size needed.

B. The sample size is the same for all levels of confidence.

C. Decreasing the confidence level increases the sample size needed.

1. Kevin took $45 with him to spend on snack for himself and his friends at the movie theater. The price for each bucket of popcorn was $4. The price of each drink was half the price of a bucket of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of buckets of popcorn and the other axis to represent the number of drinks.
(b) Explain your graph.

Answers

The equation of the relationship is 2x + 4y = 45 and the graph is attached

How to sketch the graph?

From the question, we have the following parameters:

Amount = $45Price of each bucket of popcorn = $4Price of each drink = Half the price of each bucket of popcorn

This means that

Price of each drink = Half $4

Evaluate

Price of each drink = $2

Represent the number of drinks with x and the number of bucket of popcorn with y

So, we have the following representation

Total amount of popcorn + Total amount of drinks = Total amount

This gives

2x + 4y = 45

Next, we sketch the graph

See attachment for the graph of the equation

The explanation of the graph

The graph is represented by a straight line

This means that it is a linear equation

Also, the graph touches the axes at (0, 11.25) and (22.5, 0)

This means that the highest number of drinks and buckets are 11.25 and 22.5 respectively

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helpppp please??? brainlesttttt

Answers

a_n=-7+11n

Hope it helps

Which expression is equivalent to the expression below?

2.1 + (–3.7h) + 1.9h – 1.4
3.5 – 5.6h
−1.1h
0.7 + 1.8h
0.7 – 1.8h

Answers

Using the simplification, the equivalent expression of 2.1+(–3.7h)+1.9h–1.4 is 0.7–1.8h.

In the given question we have to find the equivalent expression of the given expression.

The given expression is 2.1+(–3.7h)+1.9h–1.4

Now solving the given expression to find the equivalent expression.

Now solving the expression

=2.1 + (–3.7h) + 1.9h – 1.4

Firstly simplifying the bracket

=2.1–3.7h+ 1.9h – 1.4

=(–3.7h+ 1.9h)+(– 1.4+2.1)

= –1.8h + 0.7

We can write it as

=0.7–1.8h

Hence, the equivalent expression of 2.1+(–3.7h)+1.9h–1.4 is 0.7–1.8h.

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The average weight of a population of manatees is unknown. A random sample of manatees selected from the population yields a sample mean of x¯=880.3 pounds. Assume the sampling distribution of the mean has a standard deviation of σx¯=10.4 pounds. Use the Empirical Rule to construct a 68% confidence interval for the true population mean weight.

Answers

The confidence interval that we have for the population mean is given as [869.9 , 890.7]

How to solve for the confidence interval

The confidence interval is the range of values that, if you repeated your experiment or resampled the population in the same manner, you would anticipate your estimate to fall within a specific proportion of the time.

We have the following data that we have to solve this problem with

The mean = x¯=880.3 pounds

The standard deviation = 10.4 pounds.

The confidence interval = 68%

To get the confidence interval for the true mean of the population weight we would have

mean ± standard deviation

880.3 ± 10.4

The interval would be written out as

880.3 - 10.4 and 880.3 + 10.4

the confidence interval =

[869.9 , 890.7]

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David weighed himself each week and recorded a gain of 3.5 pounds, a loss of 8.6 pounds, a loss of 2.1 pounds and a gain of 1.4 pounds. What is David’s overall gain/loss of weight?

Answers

Using simple mathematical operations, David's overall loss is -5.8.

What do we mean by mathematical operations?Calculating a value while using operands as well as a math operator is known as a mathematical "operation."The supplied operands or integers must comply with a specified set of standards pertaining to the symbol of the math operator.A rule that outlines the appropriate procedures to follow when examining a mathematical equation is known as the order of operations.You can recall the PEMDAS actions parenthesis, exponents, multiplication, dividing (from Left to Right), adding, and subtracting in this order (from left to right).

So, the overall gain/loss of David is:

Gain: 3.5 pounds, 1.4 poundsLoss: 8.6 pounds, 2.1 pounds

Now, calculate loss/gain as follows:

3.5 + 1.4 - 8.6 - 2.14.9 - 10.7- 5.8

Therefore, using simple mathematical operations, David's overall loss is -5.8.

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Solve 2x2 + 20x + 8 = 0 by completing the square.

Answers

Answer:

x=−5+ 21 ,−5− 21

Step-by-step explanation:

x= 4−20+4= 214−20−4 =21

Please help: Which numbers are in order from least to greatest?

A.
0.561, 8.627, 5.325

B.
4.057, 4.122, 5.008

C.
1.742, 1.558, 1.671

D.
6.705, 6.527, 6.211

Answers

B. They go up in order

Is the function that cuts through the points (2, 3) and (-1, 6) increasing or decreasing? a. increasing c. neither b. decreasing d. cannot be determined Please select the best answer from the choices provided A B C D Mark this and return

Answers

The function is decreasing.

Select all possible solutions to the equation (x - 5)² - 6 = 0.

Answers

The two possible solutions of the given quadratic equation are -

x =  +√6 +5 and x =  -√6 +5

What is defined as the solution of equation?Finding the value that a variable expresses is the process of solving an equation. The solution of the equation is the value that was discovered. The collection of all values which, when substituted for unknowns, cause an equation to hold true is known as the solution. Two fundamental algebraic rules using the additive property as well as the multiplicative property are utilised to determine the solutions for equations having an unique unknown raised to a power of one.

For the given question;

(x - 5)² - 6 = 0

Bring constant on other side.

(x - 5)² = 6

Taking square root both side.

√ (x - 5)² = √6

(x - 5) = ±√6

Separate the constant and variables.

x =  ±√6 +5

There are two possible solution.

x =  +√6 +5 and x =  -√6 +5

Thus, the two possible solutions of the given quadratic equation are -

x =  +√6 +5 and x =  -√6 +5.

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2
Linda paid $5.50 for 4 pounds of
strawberries. How much did she pay
per pound of strawberries?

Answers

She paid $1.375 per pound of strawberries.

What is the unit rate?

When expressed rate as a fraction, a unit rate has a denominator of 1.

Since 4 pounds cost $5.50, 1 pound of strawberries will cost 5.50/ 4 ≈ $1.375.

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(b)
The table below shows the cost price, selling price and profit or loss as a percentage of the cost
price.
Complete the table below, inserting the missing values at (i) and (ii).
(i)
(ii)
Cost Price
$55.00
(c) The table shows some rates of exchange :
Calculate the value of
(i) EC $ 1 in TT $......
(ii) US $80 in EC $ .
(iii) TT $648 in US $. .....
Selling Price
$44.00
$100.00
US $1.00 = EC $2.70
TT $1.00 = EC $ 0.40
Percentage
Profit or Loss
25% profit
(4 marks)
. (1 mark)
. (1 mark)
...... (3 marks)
Total 12 marks

Answers

Answer:

US$1.00=EC$2.70 TT$1.00=EC$0.40 calculate the value of : 1.EC$1in TT$ 2.US$80inEC$ 3.TT$648 in US$

Step-by-step explanation:

that what i've got is that I hope that helps you

x-intercept of (y+12) = 3(x - 9)

Answers

This problem equals 3

Answer: purple is the greatest

Type in only your numerical answer to the given problem if G(x)=x^2-5, then g(3)=?

Answers

G(3) is equal to four.

Bimpe rues 5km per hour faster thean she walk- If she runs for 45 minute and walks for 3 hour.

! BE A GOOD NAJM/ NAJMAH, AL​

Answers

Answer:

See below

Step-by-step explanation:

I think you may have left some info out of your question post, but here is something that may help you:

x = walk speed    km/hr

x + 5 = run speed     km/hr

45 min = 3/4 hr  = .75 hr

(.75)(x+5)      +      3 * x   = total distance   in  km

3.75x + 3.75 = total distance

rajesh is working out the are of the cirle with radius 10 he writes area=3.142x20 explain why rajesh is wrong

Answers

Answer:

100π = 314.1592654

Step-by-step explanation:

area of a circle πr²

π×10²

10×10 =100

100×π

2
Select the correct answer from each drop-down menu.
Julia and Kellen are participating in a read-a-thon to raise money for charity. The money each of them raises will be a mix of fixed and per-page
donations.
Function / models the total amount, in dollars, that Julia will raise if she reads x pages:
j(x) = 1.65x + 17.31.
Function k models the total amount, in dollars, that Kellen will raise if he reads x pages:
k(x) = 0.90x+9.28.
The function
If they both re
h(x)=0.75x+26.59
h(x) = 0.75x+8.03
h(x) = 2.55x+8.03
h(x) = 2.55x+26.59
represents the difference between the amounts Julia and Kellen will raise when they both read x pages.
ence will be $
Reset
Next

Answers

I don’t understand what you are saying

The table and corresponding frequency polygon show information about the
waiting times of some patients at a dentist.
What fraction of patients waited for more than 7 minutes?
Frequency
10
5
5
Waiting time (a minutes)
10
P
Waiting time
(a minutes)
5< x≤6
6<257
7<#58
8< x≤9
9< x≤ 10

Answers

The fraction of the patients that have a waiting time of more than 7 minutes found by using the area under the curve is 269/312

What is a fraction in mathematics?

A fraction indicates the quantitative comparison showing the number of times one quantity is contained in another quantity.

The area under the frequency curve is found as follows;

Dividing the area into composite shapes of a rectangle, triangle and trapezoid, we get;

(9.2 - 5.5) × 4 + (4 + 2)×3/2 + (2.5 + (9.2 - 5.5)) × 1/2 + (2.5 + 1.2) × 2/2 + 1.2 × 1/2 = 31.2

The area for those that have a waiting time of more than 7 minutes is therefore;

(9.2 - 5.5) × 4 + (4 + 2)×3/2 + (2.5 + (9.2 - 5.5)) × 1/2 = 26.9

The fraction that have a waiting time of more than 7 minutes is therefore;

26.9/31.2 = 269/312  ≈ 0.862

The fraction of the patients that have a waiting time of more than 7 minutes is 269/312

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