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

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:

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

Answer:

i wanna say its 136 but im not completely sure

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! :)

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

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,...

Answer:

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

Range = {0,2,4}

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:

Answer:

-5,5

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

PLEASE MARK BRAINILIEST!

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!

Answer:

a^n +3

Step-by-step explanation:

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

a^{n+3}

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.

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.

Step-by-step explanation:

constant=7

coefficient=2

Answer:

Step-by-step explanation:

Answer:38

Step-by-step explanation:

Answer:

300.33333

Step-by-step explanation:

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.

Answer:

2³

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 ]

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.

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

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)

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:

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.

[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:

Item a:

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

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

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!

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

Answer:

50.

Step-by-step explanation:

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