y ≥ 12x – 1
y < 43x – 2

Answers

Answer 1

Answer:

Step-by-step explanation:

The solution to this problem is a graph.

Graph y ≥ 12x - 1:  this is a straight solid line with slope 12 and y-intercept -1.  Due to the presence of the  ≥  operator, we must shade (darken) the entire area above this line.  

Next, graph y < 43x – 2 using a dashed line (due to the < operator):  The slope is 43 and the y-intercept is -2.

Determine where the two lines intersect, either from the graph or algebraically.  If algebraically:

equate the two givens:

y = 12x - 1 = y = 43x – 2, which simplifies first to:

12x - 1 = 43x - 2, and second to

1 = 43x - 12x = 31x, which results in x = 1/31.

Substituting 1/31 for x in the first equation, we get:

y = 12(1/31) - 1, or y = 12/31 - 1, or y = 12/31 - 31/31, or y = 19/31

The two graphs intersect at (1/31, 19/31)

Shade (darken) the area beneath (under) the dashed line y < 43x – 2.

The solution is the area that you have darkened twice.


Related Questions

-2(3x - 1) = -6x -1 does it have one Solution, no Solution, or infinite Solutions

Answers

Answer:

None

Step-by-step explanation:

Please, can someone help me on math? Struggling a bit.

Answers

to find the perimeter you just multiply the numbers for example

for number one just multiply 4 and 6 which is 24

what is the value of the following expression: f^-1(f(x))

Answers

B is the answer to you question

The required simplified value of the f⁻¹(f(x)) is given as x.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Property of function states that function of function would be x, if the last function is an inverse function of its substituting function or vice versa. So,

f⁻¹(f(x)) = f(f⁻¹(x)) = x

Thus, the required simplified value of the f⁻¹(f(x)) is given as x.

Learn more about simplification here:

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To create a unique house paint color, Melton mixes together a sample that is 12 gallons of red, 2.5 gallons of yellow and 0.5 gallons of blue paint. He then mixes a main batch of paint using 30 gallons of yellow paint and enough red and blue paint to maintain the original ratio. How many total gallons of paint did he use to make the main batch of paint?

Answers

Answer:

180

Step-by-step explanation:

total ratio is 15

gallons of red =

[tex] \frac{12}{15} \times 6 \times \frac{15}{0.5 } \\ \\ = 144[/tex]

gallons of yellow

[tex]30[/tex]

gallons of blue

[tex] \frac{0.5}{15} \times 30 \times \frac{15}{2.5} \\ \\ = 6[/tex]

total =144+30+6

=180

Answer:

180

Step-by-step explanation:

Answer the following question

Answers

Answer:

f(-8) = 54

Step-by-step explanation:

To start, replace x in the equation with -8. This will give you f(-8) = 6(1 - (-8)) which can be simplified to f(-8) = 6(1 + 8). Apply the distributive property on the right side of the equation to get f(-8) = 6 + 48. When simplified, you get f(-8) = 54.


Select the point on the graph that matches the value of
20/9

Answers

Answer:

The dot just past 2.

Step-by-step explanation:

It's the dot right next to 2,

2.2

Select all ratios equivalent to 3:2.

2:12 18:14 27:18

Answers

Answer:

27:18.

Step-by-step explanation:

27/9 = 3

18/9 = 2

Answer:

27:18

more equivalent ratios:

6 : 4

21 : 14

The total delivery charge for delivering 4 pizzas is $9.00. At this same rate, how much would the total delivery charge be for delivering 12 pizzas?

Answers

Answer:

27

Step-by-step explanation:

9.00 divided by 4 = 2.25

2.25 x 12 = 27

Answer:

$27

Step-by-step explanation:

First, you would take 12(amount of pizzas the question is asking) divided by 4(amount of pizzas) and get 3

Then you multiply $9.00(the delivery fee for 4 pizzas) by 3(how much pizzas the question is asking divided by 4) and get $27

12 divided by 4 = 3

3 times $9.00 = $27

Question #5
Consider the equation.
72 +48 = 8
1+6)
Enter the unknown number that makes the equation true.
Your answer
Σ

Answers

X=9 how to solve: 72+48=8x+48
72=8x 8*9=72

Find the slope and standard form of the line that passes through the points (3,6) and (4,5)

Answers

Answer:

Slope = -1

Step-by-step explanation:

6-5/3-4=-1

(can I get brainliest please)

37) True or False: A high school principal surveys the community about the high school's basketball program.
The school sends surveys to 5,000 households and receives 120 forms back. This is an example of nonresponse.

Answers

Answer:

true

Step-by-step explanation:

17 is what percentage of 50?

Answers

Answer:

8.5 if 17 percent of 50

Step-by-step explanation:

Answer:

34%

Step-by-step explanation:

Hope this helps.

what is the LCD of 8/9 and 7/8

Answers

Answer:

72 I think

Step-by-step explanation:

I'm not 100% sure but I think its 72

Answer:

The Least Common Multiple (LCM) of 8 and 9 is 72,

and the Least Common Multiple (LCM) of 7 and 8 is 56.

what is 16 - 2t = t + 9 +4t

Answers

Answer:

t=1

Step-by-step explanation:

16-2t = t + 9 +4t

combine like terms

16-2t = 5t + 9

add 2t to both sides

16-2t+2t = 5t+9+2t

combine like terms

16=7t+9

subtract 9 from both sides

16-9=7t+9-9

combine like terms

7=7t

divide both sides by 7

t=1

Answer:

16=t+9+4t+2t

16=9+7t

16-9=7t

7=7t

t=1

A = 2lw – 21h + 2 wh
Solve for h

Answers

answer: h=-21w+a
explanation: I saw the answer somewhere and they said it was write but I don’t know the steps I’m sorry.

Brainliest

Does changing the compound inequality x>-3 and x<3 from and" to or change the soluion set? Explain

Answers

Answer:

Yes

Step-by-step explanation:

If you look at it. X is basically -2, -1, 0, 1, or 2.

Hope I helped and Pls Mark Brainliest

Which equation could be used to solve the question below?

Kitty made b cups of dough. She divided the dough into 3 equal clumps. Each of the dough clumps doubled in size. Now, each clump is made of 6 cups of dough. How many cups of dough did Kitty originally make?
A.
b × 6 ÷ 2 = 6
B.
b × 3 × 2 = 6
C.
b ÷ 3 ÷ 2 = 6
D.
b ÷ 3 × 2 =6


please help whoever is right i will mark brainliest

Answers

D.
b divided by 3 x 2 = 6

Kitty divided the dough means division

The dough doubled means multiplication


The park is 5 miles east of your home. The library is 4 miles north of the park. How far is your home from the library? Round your answer to the nearest tenth. Must show work to receive full credit.

Please help

Answers

Answer:

6.4

Step-by-step explanation:

4 squared plus 5 squared is 41 and then you square 41 which gives you 6.4

Are these ratios equivalent?

$4 per 7 items

$8 per 14 items

Answers

Answer:

yes

Step-by-step explanation:

4 by 7 is equivalent because 4 times 2 is 8 and 7 times 2 is 14

Answer:

Yes, the ratios are equivalent

Step-by-step explanation:

parallelogram =
2x, 3x - 15, 2x + 24, 2x
Work out the value of x.​

Answers

X=2x +£2x -15) +2x +(2x +24) 180= 9x+7x = 9 +9x = 18

Answer:

Step-by-step explanation:

The above figure is a parallelogram and so - "the opposite sides of a parallelogram are equal"

so -

need help please help me if u can hlp me

Answers

Answer:

your b in y=mx+b is +3

Step-by-step explanation:

The color reference provided by the automotive manufacture is 44.21%. Does this known value match the measured value at the 95% confidence level

Answers

Answer:

This known value does not match the measured value at the 95% confidence level.

The 95% confidence interval for value is calculated as 42.92 to 43.78%,

Step-by-step explanation:

The complete question is:

Police have a hit-and-run case and need to identify the brand of red auto paint. The percentage of iron oxide, which gives paint its red color, was determined to be 43.35 ± 0.33% by one method of analysis using five measurements. The color reference provide by the automotive manufacture is 44.21%. What can you conclude about whether the sample matches the reference at a 95% confidence level?

Student's t test is used to compare the two values .

Here n=5

Degrees of freedom =ν= n-1= 5-1=4

The value from t- table for 4 d.f at 95 % confidence interval is 2.776

The test statistic is

x`± t ∝/2(v). S/√n

43.35 ± (2.776)(0.33)/√5

= 43.35 ± 0.43

= 43.78, 42.92

Here the 95% confidence interval for μ calculated is 42.92 to 43.78%, where as color reference provided by the automotive manufacture is 44.21%.

This known value does not match the measured value at the 95% confidence level.


The admision fee at a basket ball game is 350$ for children and 750$ for adults. On a certain night,1500 people enter the basketball game and 6050$ was collected.How many children attended the basketball game?

Answers

Note: The only way to solve this problem is by adjusting the fees to $3.50 and $7.50.

Answer:

1300 children attended the basketball game

Step-by-step explanation:

System of Equations

Let's call:

x = number of children attending the basketball game

y = number of adults attending the basketball game

On a certain night, 1500 people enter the game, thus:

x + y = 1500           [1]

Since each admission fee for children cost $3.50 and $7.50 for adults and it was collected $6050, thus:

3.50x + 7.50y = 6050            [2]

From [1]:

y = 1500 - x

Substituting in [2]:

3.50x + 7.50(1500 - x) = 6050

Operating:

3.50x +  11250 - 7.50 = 6050

-4x = 6050 - 11250

Solving:

x = 1300

1300 children attended the basketball game

When Angelo cashed a check for $170, the bank teller gave him 12 bills, some $20 bills and the rest $10 bills. How many bills of each denomination did Angelo receive?

Answers

Answer:

7 ten dollar bills and 5 twenty dollar bills

Step-by-step explanation

He recieved 5 bills of $20 and 7 bills of $10.

What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following statement Angelo cashed a check for $170, the bank teller gave him 12 bills, some $20 bills and the rest $10 bills

We can write -

20x + 10y = 170

x + y = 12

So, we can write -

y = 12 - x

We can write -

20x + 10(12 - x) = 170

20x + 120 - 10x = 170

10x = 50

x = 5

then -

y = 7

Therefore, he recieved 5 bills of $20 and 7 bills of $10.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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HELPPPPPPPPPPPP]PPPPPP​

Answers

I can’t really see it

Answer:

If Cora runs 1/2 mile per week and x is the number of weeks, then she will run 5+1/2x. Then determine how many weeks are in two and a half months (depends on which month it is as there are less weeks in February than in January!) but we could estimate 6.

For Hana, you will have 3+ 3/4 x First equation is y=5+1/2 x and then plug 6 in for x to solve for y. the second equation is y=3+3/4x and plug in 6.

Step-by-step explanation:

First equation is y=5+1/2 x and then plug 6 in for x to solve for y. the second equation is y=3+3/4x and plug in 6.

In slope-intercept form, write the equation of the line passing through the points (-4,1) and (-3,2).

Answers

Answer:

the points are starting at 5y and the slope line goes up to (6, 1) and goes down to (-1, 4 ), (-2, 3), (-3, 2) and (-4, 1) The graph has 1x +5

going to desmos to graph it out you can see the slpe line going through (-4, 1) (-3, 2)

How do I solve this ?

Answers

Answer:

See attachment :D

Step-by-step explanation:

y = 2/3x + 2

This is in slope-intercept form, y = mx+b. m is the slope, 2/3, and b is the y- intercept, 2. So you know the line intersects with the y-axis at (0,2). The slope is 2/3. So you can move up two points, then over three. Because it's a positive slope, you move right. This leaves you at point (0,3). Connect a line between these two points.

The line intersects with points (-3,0) and (0,2).

Hope this is helpful ^^ Good luck with your test :D

Please help!!! I need help

Answers

Answer:

Step-by-step explanation:

What the hell is that oh no I am not doing that

A horse gallops 16 miles in 2 hours. How many hours would it take the horse to gallop 40 miles?

Answers

Answer: 5 Hours

Step-by-step explanation: Divide 2 by 16 to get how many hours it takes to run 1 mile. Then multiply that number by 40 to get how many hours it would take run 40 miles.

Answer: 6 hours

Step-by-step explanation: if 16×3=48 and 2×3=6 it would take approximately 6 hours

Six oranges cost $.90. How much will 9 oranges cost?

Answers

Answer: 1.35

Step-by-step explanation:

if:

6 oranges cost............................0.90 dollars

9 oranges will cost....................................?

(9*0.90)/6=1.35 dollars

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