Consider the system of inequalities and its graph.

y ≥

y ≤ x – 3



On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 8, negative 2) and (0, 0). Everything above the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (3, 0). Everything to the right of the line is shaded. The section in quadrant 1 is labeled 3, the section in quadrant 2 is labeled 2, the section in quadrant 3 is labeled 1, and the section in quadrant 4 is labeled 4.
In which section of the graph does the actual solution to the system lie?

1
2
3
4

Answers

Answer 1

Answer:

3

Step-by-step explanation:


Related Questions

for a given input value of n, the function h outputs a value of m to satisfy the following equation.

m+1=-2(n+6)

write a formula for h (n) in terms of n

h(n)=

Answers

Answer:

h(n) = - 2n - 13

Step-by-step explanation:

Given

m + 1 = - 2( n + 6) = - 2n - 12 ( subtract 1 from both sides )

m = - 2n - 13, that is

h(n) = - 2n - 13

1/8 of a number is less than or equal to 3

Answers

Answer:

1/8n<3

Step-by-step explanation:

The letter "n" represents the number. Less than or equal to is represented by "<" but with a line under it.

Answer:

1/8n<3

Step-by-step explanation:

Write the missing number and name the
property
(733X5)×2= 733 x 5

Answers

Answer:

the missing number is 2

Step-by-step explanation:

Left side is (733*5)*2 (please use * for multiplication, or · , but not X or x)

Right side is 733*5.  Rewriting the expression this way makes it obvious that the missing number is 2.

A rectangular piece of metal is 9 in. longer than it is wide. Squares with sides 3 in. long are cut from the four​ corners, and the flaps are folded upward to form an open box. Which equation indicates that the volume of the box is 80 in. cubed​?

Answers

Step-by-step explanation:

Let the width be = w

The length will be = w+9

And height h = 3 inches ( side of square =3 in)

Volume = l x w x h

According to question

[tex]80 = w(w+9)3\\3w^2+27w-80=0[/tex]

So, this equation indicates that the volume of the box is 80 in.

figure is made from a part of a square and a part of a circle.
$
This figure
10
a) What is the perimeter of this
figure, to the nearest unit?

Answers

Answer:

Step-by-step explanation:

Answer:38

Step-by-step explanation:

1. Parallelogram WXYZ is shown on the coordinate plane ect...

Added photo plz help!!

Answers

Answer:

Step-by-step explanation:

12.718 units

Step-by-step explanation:

The coordinates of the vertices of parallelogram WXYZ are given to be W(0,-1), X(4,0), Y(3,-2) and Z(-1,-3).

So, the perimeter of the parallelogram will be 2(WX + XY) {Since opposite sides of parallelogram are same in length}

Now, length of WX =  units,  To find the units click this link :

https://tex.z-dn.net/?f=%5Csqrt%7B(-1)%5E%7B2%7D%20%2B%204%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B17%7D%20%3D%204.123

And, length of XY =  units, To find the units click this link :

https://tex.z-dn.net/?f=%5Csqrt%7B(4-3)%5E%7B2%7D%20%2B%20(0-(-2))%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B5%7D%20%3D%202.236

Therefore, the perimeter of the parallelogram WXYZ = 2(4.123 + 2.236) = 12.718 units. (Answer)

Jordan's dog with p.M. Pounds Emmett apostrophe s dog with 25% more than Jordan star which expression represents the weight in pounds of Emmett apostrophe s dog select all the apply a 0.25 P 1.25 p c p + 0.25 DP + 120.25

Answers

Answer: 1.25 p , where  p= Weight of Jordan's dog

Step-by-step explanation:

Let p = Weight of Jordan's dog .

Given: Emmett apostrophe's dog with 25% more than Jordan star.

Then, weight (in pounds)  of Emmett apostrophe s dog  = p +25%  of p

= p +0.25 p  [We divide a number by 100 to remove %]

= p(1+0.25)

= p(1.25)

=1.25 p

Hence, the expression represents the weight in pounds of Emmett apostrophe's dog=1.25 p

Choose the expression equivalent to 2^ -2 x
2^5.

Answers

Answer:

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , thus

[tex]2^{-2}[/tex]  × [tex]2^{5}[/tex] = [tex]2^{(-2+5)}[/tex] = 2³ [ = 8 ]

Substitution method
3x+2y=15
y=6x

Answers

Plug in 6x for y (first equation)
3x + 2(6x) = 15
3x + 12x = 15
15x = 15
X = 1

Answer:

x = 1

Step-by-step explanation:

3x +2y = 15

y = 6x

Substitute y for 6x in 3x +2y = 15!

3x + 2(6x) = 15

3x + 12x = 15

Combine like terms

15x = 15

Divide both sides by 15

15x = 15

x = 1

Brainliest is much appreciated!

How would I Graph y = -3/2x - 3

Answers

Use the desmos it can help with graphing and all that it helps meeee alottt

Answer:the slope is negative is the one with the x , -3/2 so that means the top of the line points to the top left

Start with -3 which on the y axis start on -3 go down thats the first dot point then do slope which is -3 down /2 right the opposite start again on -3 on the y go up 3 and 2 to the left connect points

Step-by-step explanation:

If I saved up $10 every 2 weeks, in a year I would have saved up $260. But, if I had saved up $20 per month, I would only have saved $240. Why do they have different totals?

Answers

They have different totals because the 10 dollars your putting in every 2 weeks. Now with the 20 dollars you doing it every month so they have different totals because ones getting put in every month and the other is getting put in every 2 weeks.

Question 10
Evaluate 122 – 3 [4 () – (18)].

Answers

Answer:

here is the answer -(12)/(-3)

Step-by-step explanation:

PLEASE MARK BRAINILIEST!

the sum of two numbers is 16. their difference is 1. what is the product of the two numbers

Answers

Answer:

The product of the numbers is 63.75

Step-by-step explanation:

Let the numbers be x and y

x + y = 16

x -y = 1

Adding both together

2x = 17

x = 17/2

x = 8.5

Recall

x -y = 1

8.5 - y = 1

y = 8.5 - 1 = 7.5

Their product is xy

so we have 7.5 * 8.5 = 63.75

Which mixed number is equivalent to twenty nine thirds?

Answers

9 2/3 this is the answer

Answer:

9 2/3

Step-by-step explanation:

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

9 2/3

what 901 divided by 3

Answers

Answer:

300.33333

Step-by-step explanation:

Hey I am super confused about the equation below. plzz help!!!

Answers

Answer:

50.

Step-by-step explanation:

12 x 45 = 540. 45 + 5 = 50.

Which of the following represents the range of the relation below?
{(0, 0), (1, 4), (6, 2)}

{0, 1, 2, 4, 6}
{0, 2, 4}
{1, 6}
{0, 1, 6}

Answers

Answer:

{ (0,0),(1,4),(6,2)

Range = {0,2,4}

Kayla's school is selling tickets to the annual dance competition. On the first day of ticket sales the school
sold 3 senior citizen tickets and 5 child tickets for a total of $70. The school took in $216 on the second day by
selling 12 senior citizen tickets and 12 child tickets. Find the price of a senior citizen ticket and the price of a
child ticket.

Answers

Answer:

senior ticket = $10     child's ticket = $8

Step-by-step explanation:

s = senior ticket

c = child's ticket

We need to write 2 equations, and we have 2 unknowns, s and c.

3s + 5c = $70

12s + 12c = $216

First solve for s using the first equation.

3s + 5c = 70    Subtract 5c from each side

3s + 5c - 5c = 70 - 5c

3s =  70 - 5c     Divide each side by 3

3s/3 =  (70 - 5c)/3

s = [tex]\frac{70 - 5c}{3}[/tex]

Now plug in s into the second equation.

12s + 12c = 216

12([tex]\frac{70 - 5c}{3}[/tex]) + 12c = 216

[tex]\frac{12}{3}[/tex] (70 - 5c) + 12c = 216

4 (70 - 5c) + 12c = 216

280 - 20c + 12c = 216

280 - 8c = 216  Add 8c to each side

280 - 8c + 8c = 216 + 8c

280 = 216 + 8c   Subtract 216 from each side.

280 - 216 = 216 - 216 + 8c

280 - 216 = 8c

64 = 8c   Divide each side by 8

64/8 = 8c/8

64/8 = c

8 = c

Now plug c into the first equation and solve for s.

3s + 5c = 70

3s + 5(8) = 70

3s + 40 = 70    Subtract 40 from each side.

3s + 40 - 40 = 70 - 40

3s = 70 - 40

3s = 30  Divide each side by 3

3s/3 = 30/3

s = 30/3

s = 10

So a senior ticket costs $10 and a child's ticket costs $8.

Identify the terms, coefficients, and constants of the expression. a^2 + 2 + 7b

Answers

Step-by-step explanation:

constant=7

coefficient=2

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

Answers

Answer:

y=mx+b

Step-by-step explanation:

Answer:

y = (5/2)x - 5

Step-by-step explanation:

SLOPE:

The slope is rise over run, and in this case (thanks to the graph), we can do the [difference of y] / [difference of x] pretty easily. This is 5 / 2

Y-INTERCEPT:

Y-intercept is simple: where the line touches the y-axis. This happens at y = -5.

Therefore, the equation y = (5/2)x - 5

70.2 x 10
6.702 x 10?
7.02 x 100
7.02 x 10?

Answers

Answer:

70.2 x 10=702.

6.702 x 10=67.02

7.02 x 100=70.2

7.02 x 10=70.2

Step-by-step explanation:

I hope this help! :)

70.2 x 10= 702

6.702 x 10= 67.02

7.02 x 100= 702

7.02 x 10= 70.2

Solve the equation that represents: The difference of five times a number and 6 is -2. ​

Answers

Answer:

5n-6= -2

Step-by-step explanation:

The difference of...... this means its asking us to subtract one number from another number

5 times a number...... that means 5n

6..... since it said DIFFERENCE, it would be -6

is -2........ this means the answer to the equation is -2

So the equation is 5n-6= -2

Hope this helps!

NEED HELP ASAP!!!
Which function does this graph represent?

A. F(x)= 3 (x+1)^2+2
B. F(x)= -3 (x+1)^2+2
C. F(x)= -3 (x+1)^2+2
D. F(x)= 3 (x-1)^2+2

Answers

the answer is B f(x)= -3(x+1)^2+2

PLEASE HELP!!!!
2. Toss 4 times Imagine tossing a fair coin 4 times . (a ) Give a probability model for this chance process . (b) Define event B as getting exactly three tails . Find P(B)

Answers

Answer:

If a coin is tossed 4 times; number of possible outcomes = (2^4) = 16. 3 heads and 1 tail can occur from 4 tosses in (4C3)*(1C1) = 4*1 = 4 ways. So, the probability = (4 / 16) = (1 / 4) = 0.25.  

i didnt really understand the question but hope this helps

According to the information given, we have that:

a) A binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.b) P(B) = 0.25.

For each coin, there are only two possible outcomes, either it is heads, or it is tails. The result of the flip of a coin is independent of any other flip, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

Item a:

The coin is tossed 4 times, hence [tex]n = 4[/tex].It is a fair coin, hence equally as likely to be heads and tails, which means that [tex]p = 0.5[/tex].

Hence, a binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.

Item b:

P(B) is P(X = 3), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]

Hence, P(B) = 0.25.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

if the first and fifteen terms of A.P. are 8 and -48 respectively, obtain the progression​

Answers

Answer:

8, 4, 0, -4, - 8, .........

Step-by-step explanation:

The n the term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and a₁₅ = - 48, then

8 + 14d = - 48 ( subtract 8 from both sides )

14d = - 56 ( divide both sides by 14 )

d = - 4

To obtain the progression subtract 4 from each term, that is

8, 4, 0, - 4, - 8, ......

Answer:

8, 4, 0, -4, -8, -12, -16, -20,...

Step-by-step explanation:

Arithmetic Progressions

The general term of an arithmetic progression (A.P.) is:

[tex]a_n=a_1+(n-1).r[/tex]

Where:

a1  = First term

an = Term number n

n   = Number of the term

r   = Common difference

We are given: a1=8, and a15=-48, n=15. Calculate r:

[tex]\displaystyle r=\frac{a_n-a_1}{n-1}[/tex]

[tex]\displaystyle r=\frac{-48-8}{15-1}[/tex]

[tex]\displaystyle r=\frac{-56}{14}[/tex]

r = -4

We can get the terms of the progression by subtracting 4 to the previous term.

Thus, the first terms of the progression are:

8, 4, 0, -4, -8, -12, -16, -20,...

Please I will give brainylest if the answer is correct

Answers

Answer:

a^n +3

Step-by-step explanation:

simpify: a^na^3:\quad a^{n+3}

a^{n+3}

?!?!?!djsjsj?!?!?!?djsj

Answers

Hope this helps! As long as you keep posting I’ll keep answering- always happy to help!
Oof I could never learn that stuff

77th term for -10,-8,-6

Answers

9514 1404 393

Answer:

 142

Step-by-step explanation:

The first term of this arithmetic sequence is -10. The common difference is -8-(-10) = 2. The n-th term is ...

  an = a1 +d(n -1)

  an = -10 +2(n -1) = 2n -12

Then the 77th term is ...

  a77 = 2(77) -12 = 154 -12

  a77 = 142

The 77th term is 142.

what is the answer ​

Answers

Answer:

-5,5

Step-by-step explanation:

pls help me
(answer choices)
a: 134
b:46
c:136
d:43

Answers

Answer:

i wanna say its 136 but im not completely sure

C: 136

I hope this helps!!!
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