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

-26=b-13
Plz answer I’m a month late on this test

Answers

Answer:

B = -13

Step-by-step explanation:

Add 13 to both sides

- 13 = b

Do y’all know the answer ?

Answers

Answer:

700

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

because it 719,283 so you have to look at the 71 for this equation and sense the 1 is in higher then 5 it stays the same

hope that helps :)

Explain how could use 8 + 8 to find the sum

Answers

Answer:

its 16

Step-by-step explanation:

What is 18 percent of 210?

Answers

Answer:

WN=37.8

Step-by-step explanation:

WN=18%*210

WN=0.18*210

WN=37.8

Can a trinomial with a leading coefficient not equal to 1 have two identical factors If so , give an example .

Answers

Answer:

COEFFICENT

Step-by-step explanation:

HELPPP ME PLEASE I NEEDA HELP
p.s if u see this please answer look at the picture

Answers

Answer:

-5+2

Step-by-step explanation:

Answer:

I would say 6 cm too, also can anyone help me on my math? its powers and exponents

The U.S. Department of Agriculture claims that the mean consumption of coffee by a person in the United States is 24.2 gallons per year. A random sample of 101 people in the United States shows that the mean coffee consumption is 23.5 gallons per year with a standard deviation of 3.2 gallons. At α=0.05, can you reject the claim? Using a P-value, evaluate the claim. Using Rejection Regions for a z-test, evaluate the claim.

Answers

Answer:

The decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to reject the claim  

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu = 24.2 \ gallons \ per \ year[/tex]

    The sample size is  n  =  101

     The sample mean is  [tex]\= x = 23.5 \ gallons\ per\ year[/tex]

     The standard deviation is  [tex]\sigma = 3.2 \ gallons[/tex]

The null hypothesis is  [tex]H_o : \mu = 24.2[/tex]

 The alternative hypothesis is [tex]H_a : \mu \ne 24.2[/tex]

Generally the test statistics is mathematically represented as    

               [tex]z = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]

=>             [tex]z = \frac{ 23.5 - 24.2 }{ \frac{ 3.2}{ \sqrt{ 101} } }[/tex]  

=>             [tex]z = -2.198[/tex]

From the z table  the area under the normal curve to the left corresponding to    -2.198  is  

         [tex]P(Z < -2.198 ) = 0.013975[/tex]

Gnerally the  p-value is mathematically represented as

         [tex]p-value = 0.013975 * 2[/tex]

=>      [tex]p-value = 0.02795[/tex]

From the value obtained we have that  [tex]p-value \ < \ \alpha[/tex] hence  

The decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to reject the claim  

Using the Rejection Regions for a z-test method

Generally from the z table  the critical value  of [tex]\frac{\alpha }{2}[/tex]  is  

     [tex]z_{critical} = \pm 1.96[/tex]

Not we are using  [tex]\frac{\alpha }{2}[/tex]  because it is a two - tailed test

   Now comparing the critical value and the test statistics we see that the

region covered by  the test statistics (i.e [tex]2.198 < z < -2.198[/tex])   is greater than the region covered by  the critical value  (i.e [tex]1.96 < z < -1.96[/tex])

Hence

The decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to reject the claim  

Luisa's restaurant bill comes to $85.50, and she leaves a 18% tip. What is Luisa's total
restaurant bill?

Answers

Answer:

85.50+15.39=100.89 dollars

Step-by-step explanation:

First, you calculate the tip cost, which is 15.39. Then you add that to the bill which gives you your total :D

The square below represents one whole. Express the shaded area as a fraction, a decimal, and a percent of the whole. Fraction: Decimal: Percent: %​

Answers

Answer:

Fraction = [tex]\frac{19}{50}[/tex]

Decimal = 0.38

Percent = 38%

Step-by-step explanation:

Number of shaded rectangles = 38

Total number of rectangles = 100

Fraction represented by the shaded area = [tex]\frac{\text{Number of blocks shaded}}{\text{Total number of blocks}}[/tex]

                                                                     = [tex]\frac{38}{100}[/tex]

                                                                     = [tex]\frac{19\times 2}{50\times 2}[/tex]

                                                                     = [tex]\frac{19}{50}[/tex]

Decimal form of the shaded area = [tex]\frac{38}{100}[/tex] =  0.38

Percent of the shaded area = [tex]\frac{38}{100}[/tex] = 38%

Answer:

Fraction =

Decimal = 0.38

Percent = 38%

Step-by-step explanation:

Number of shaded rectangles = 38

Total number of rectangles = 100

Fraction represented by the shaded area =

                                                                    =

                                                                    =

                                                                    =

The decimal form of the shaded area =  =  0.38

Percent of the shaded area =  = 38%


Which three lengths could be the lengths of the sides of a triangle?
A. 6 cm, 23 cm, 11 cm
B. 10cm, 15cm, 24cm
C. 22 cm, 6 cm, 6 cm
D. 15 cm, 9 cm, 24 cm

Answers

Answer:

D. 15 cm, 9 cm, 24 cm

Step-by-step explanation:

The three lengths that could be the lengths of the sides of a triangle, must satisfy the following condition;

---sum of any two smaller sides chosen must be equal to the third side.

Test option A : 6 cm + 11 cm = 17 cm  ( 17 cm ≠ 23 cm)

Test option B: 10 cm + 15 cm = 25 cm (25 cm ≠ 24 cm)

Test option C: 6 cm + 6 cm = 12 cm (12 cm ≠ 22 cm)

Test option D: 15 cm + 9 cm = 24 cm (24 cm = 24 cm) ---correct option.

Thus, the three lengths that could be the lengths of the sides of a triangle are 15 cm, 9 cm, and 24 cm

what is the equation of a line that has a slope of -5 and passes through the point (0,2) a)y= -5x b)y= -5x + 2 c)y = 2x - 5

Answers

Answer:

y=-5x+2

Step-by-step explanation:

desmos

also -5= the slope and 2 was the y intercept aka B you had all Pieces

you spin the spinner twice what is the probability of landing on a 6 and then landing on a number greater than 4
p(6,then>4)=
a)1/4
b)1/6
c)1/8
d)1/10

Answers

it would be c or b, you’re welcome!

What is the original price of the box of cereal?

Answers

Answer:

$3.20

Step-by-step explanation:

Kristina, Liz, and Heather all made cookies. Kristina made 1.8 dozen less than 6 times as many dozen as Heather. Liz made 2.7 dozen more than 5 times as many dozen as Heather. If Kristina and Liz made the same number of cookies, how many dozen cookies did Heather make?

Answers

Answer:

Based on the number of cookies each girl made and if Kristina and Liz made the same number of cookies, then Heather made 4.2 dozen cookies.

Step-by-step explanation:

In order to find the number of cookies that Heather made, you need to set up two equations that represent the number of cookies that Kristina and Liz each made.  Since Kristina made 2.4 dozen less than 6 times as many dozen as Heather, we can represent that with the equation  6c - 2.4.  Since Liz made 1.8 dozen more than 5 times as many dozen as Heather, we can represent that with the equation 5c + 1.8.  We can set both equations equal to each other since Liz and Kristina made the same number, so 6c - 2.4 = 5c + 1.8.  Solving for 'c', which represents how many dozen cookies Heather made, we get 4.2  

Alex mows lawns. He earns $15 per lawn. How much does he earn in 4 days if he mows 5 lawns per day?

Answers

Answer:

He would make 300 dollars.

Step-by-step explanation:

15 x 5 = 75

75 x 4 = 300.

Answer:

answer is 300

Step-by-step explanation:

Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..

Hopes this help.

Carl is the beneficiary of a $29,000 trust fund set up for him by his grandparents. Under the terms of the trust, he is to receive the money over a 7-year period in equal installments at the end of each year. If the fund earns interest at the rate of 4%/year compounded annually, what amount will he receive each year?

Answers

Answer:

$8,939.58

Step-by-step explanation:

Let x represent the amount to be received each year

==> x * Present value annuity factor (4%,7yrs) = $29,000

==> x * 3.240 = $29,000

==> x = $29,000/3.244

x = 8939.580764488286

x = $8,939.58

So, $8,939.58 is the amount he will receive each year.

You earn 18n dollars. How much do you earn for mowing 3 lawns? 9 lawns?

Answers

Answer:

I am confused but my best guess would be you would earn 54$ for 3 lawns and 162 for 9

Step-by-step explanation:

You multiply 3 x 18 and 9 x 18

Im sorry if im wrong but i dont know what you were asking

Dan earns £9.90 per hour. How much will he earn for 4 hours work?

Answers

Answer:

39.60

Step-by-step explanation:

9.90 x 4 = 39.60

So he earns £9.90 per hour
And you need to know how much will he make for 4 hours ?
Answer: £9.90x4

Sam mows a ¼ of a lawn in ½ of an hour. At this rate, how long will it take him to finish one lawn?

Answers

Answer:

Two hours

Step-by-step explanation:

1/4 = 1/2

2/4 = 1

3/4 = 1 1/2

4/4 = 2

2 hours if he mows 1/4 im 1/2 then 2/4 would be 1 hour then 3/4 would be 1 1/2 hour then 4/4 would be 2 hours so ur answer is 2 hours

−8/9 ⋅ 5/6
What is the product in simplest form?


Fractions btw

Answers

the answer 56 it’s already put in simplest form

-8+12 divided by 2 + (-14)

Answers

Answer:

-16

Step-by-step explanation:

Answer:

the answer is negitive 12 or -12

Need help Pronto! Will give braintliest.

Answers

Answer:

the answer is 45 I believe because it is the same exact as j

Profit is the amount of money that remains after all expenses of a project have been paid. The year has just​ ended, and Ajax​ Construction's owner is anxious to find out if the company had a profitable year. The company was awarded five contracts totaling​ $7,435,000. The costs associated with each project​ were: Project​ 1: $1,245,000 Project​ 2: $985,689 Project​ 3: $1,723,000 Project​ 4: $2,567,054 Project​ 5: $633,768 How much profit did the company​ earn?

Answers

Answer:

the Profit earned by the company is $280,489

Step-by-step explanation:

Total Cost of 5 projects awarded = $7,435,000

Cost of Project​ 1 = $1,245,000

Cost of Project​ 2 = $985,689

Cost of  Project​ 3 = $1,723,000

Cost of Project​ 4 = $2,567,054

Cost of Project​ 5 = $633,768

We need to find the profit earned by the company.

First we need to find Total cost spent on all 5 projects.

It can be found by adding cost spent on all projects.

Total cost spent on all 5 projects = Cost of Project 1 + Cost of Project 2 + Cost of Project 3 + Cost of Project 4 + Cost of Project 5

Total cost spent on all 5 projects = $1,245,000+ $985,689 + $1,723,000+ $2,567,054 + $633,768

Total cost spent on all 5 projects = $7,154,511

Now we can calculate profit earned using formula:

Profit earned = Total Cost of 5 projects awarded - Total cost spent on all 5 projects

Profit earned = $7,435,000 - $7,154,511

Profit earned = $1,280,489

So, the Profit earned by the company is $280,489

Simplify by using the o
3–8(4-9)=

Answers

Answer:

-51

Step-by-step explanation:

3-24+72=0

75-24=0

51=0

11. What's one way we can check our answer to 2
X10 = 20?
A. 2 = 10 = 20
B. 20 x 10 = 2
C. 20 = 10 = 2

Answers

Answer:

20 ÷ 10 = 2

or

20 ÷ 2 = 10

Step-by-step explanation:

multiplication is the opposite of division

I will give brainliest
Jared is going to plant 20 small plants around the edge of a circular garden that is 8 feet in diameter. If he spaces the plants evenly, how much distance will be between the plants?
25.12 feet
12.56 feet
2.5 feet
1.26 feet

Answers

Answer:

2.5 feet

Step-by-step explanation:

20/8=2.5

Hi if i have 8,000 saving for 12,000 how much more do i need?

Answers

Answer: 4,000

Step-by-step explanation: 12,000 - 8,000 = 4,000 Hope it helped!! :)

Find the value of x 6x+2-2x=3x+14-x

Answers

Step-by-step explanation:

x will equal 6

hope this helps bro if u need the explanation I'll explain to u if needed

6x + 2 - 2x = 3x + 14 - x

6x - 2x + 2 = 3x - x + 14

4x + 2 = 2x + 14

4x - 2x = 14 - 2

2x = 12

x = 12/2

x = 6

WILL GIVE BRAINLIEST



Suppose you invest $1200 at an annual interest rate of 2.3% compound continuously. How much will you
have in the account after 4 years?

Answers

Answer:

You will have $1314.27

Step-by-step explanation:

A=1200(1+2.3/100)^4

A=1200(1.0952)

A=$1314.27

If $2000 is deposited into an account paying simple interest of 6% per year on a monthly basis, in how many months will this account increase by $90?
A. 22
B. 15
C. 9
D. 4

Answers

C. The monthly rate is 6pct/12 = 0.5 pct which gives 10$ each month.
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