7. Write an inequality that matches the graph shown.

7. Write An Inequality That Matches The Graph Shown.

Answers

Answer 1

Step-by-step explanation:

first, we define the line.

the slope is -3 (as for every increase of x by 1 unit, y changes by -3 units, which makes the slope -3/1 = -3).

the y-intercept is 2.

so, the line is

y = -3x + 2

now the graph shows that we need to define all y values that are below (and that means smaller than) the result values of the line function.

the line is not included.

therefore the inequality is

y < -3x + 2 or 3x + y < 2


Related Questions

what would 2 x (x-3) sum be

Answers

Answer:

2x-6 I think

Step-by-step explanation:

Which equation matches the graph shown?

Answers

Answer:

Vertex form:  y = -2(x - 1)²

Standard form: y = -2x² + 4x - 2

Step-by-step explanation:

Given the x-intercept as the vertex, (1, 0), and the y-intercept, (0, -2) as the two points on the graph of a parabola:

We can determine the equation by substituting these given values into the vertex form of the quadratic equation:

y = a(x - h)² + k

where:

a = determines the direction of where the graph opens, and the wideness or narrowness of the parabola.

(h, k) = vertex

Solve for the value of a:

Use vertex: (1, 0) and y-intercept, (0, -2):

y = a(x - h)² + k

-2 = a(0 - 1)² + 0

-2 = a(-1)²

-2 = a(1)

-2 = a

Quadratic Equation:Vertex form:

The quadratic equation in vertex form that matches the graph is:

y = -2(x - 1)² + 0 or  y = -2(x - 1)² This is the quadratic equation in vertex form.

Standard form:

To transform the vertex form into the standard form, y = ax² + bx + c:

Simply expand the perfect square, (x - 1)², through FOIL method before distributing -2:

y = -2(x - 1)²

y = -2(x - 1)(x - 1)

y = -2(x² -2x + 1)

y = -2x² + 4x - 2 ⇒ This is the quadratic equation in standard form.  

Please find x and y... I will mark you brainliest

Answers

Answer:

Step-by-step explanation:

Dodoodo

Step-by-step explanation:

x=30 and y=30. I have solve it. See the picture that I have attached.

Write a recursive formula for the explicit formula

A(n) = -1 + (n-1)(-2)

Answers

Answer:

see explanation

Step-by-step explanation:

A recursive formula allows a term in the sequence to be found by adding a common difference to the previous term

Given the explicit formula

A(n) = - 1 + (n - 1)(- 2)

This is an arithmetic sequence with explicit formula

A(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

For the given explicit formula, then

a₁ = - 1 and d = - 2

The recursive formula is then

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] - 2 ; a₁ = - 1

jerry has 3,572 live chickens in his poultry farm.if there are 38 boxes , how many chickens must go in each box?

Answers

Answer: 94 live chickens go in each box.

Step-by-step explanation:     3,572 divided by 38 = 94 so 94 live chickens go in each box.

hope this helps :)

 

If you and 2 friends went to dinner and the bill was $57.90 after taxes and you wanted to leave a 25% tip. How much total would you have to pay each? (round to the nearest hundredth)

Answers

Answer:14.48

sorry if it is wrong.

Step-by-step explanation:0.25*57.90=14.475

What does this graph represent?
Question options:
not moving
acceleration
constant speed

Answers

Answer:

A or C

Step-by-step explanation:

Two cyclists are 7 miles apart when they begin biking away from each other in
opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of
the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles apart are the cyclists in 45 minutes

Answers

Answer:

25

Step-by-step explanation:

Its just 25

What is the slope-intercept form of the linear equation 2x - 8y = 32?

(Don't forget to simplify fractions if possible)

Answers

Answer:

y = 1/4x + 4

Step-by-step explanation:

2x - 8y = 32

-2x            -2x

-8y = -2x + 32

divide everything by -8

so that y becomes positive

answer : Y = 1/4x + 4

The slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.

Given is an equation of a line 2x - 8y = 32, we need to convert it into slope-intercept form of the linear equation.

The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.

To convert the equation 2x - 8y = 32 into slope-intercept form, we need to isolate y on one side of the equation.

Let's rearrange the given equation to solve for y:

2x - 8y = 32

Subtract 2x from both sides:

-8y = -2x + 32

Divide both sides by -8:

y = (2/8)x - 4

Simplifying further, we get:

y = (1/4)x - 4

So, the slope-intercept form of the linear equation 2x - 8y = 32 is y = (1/4)x - 4.

Learn more about linear equation click;

https://brainly.com/question/32634451

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who goes to Catonsville middle school pls answer

Answers

Answer:

Uh not me but I don't think you should leak your schools name...


The volume of a cube is 496cm
Work out the length of its side rounded to 1 DP
cm

Answers

Answer:

7.9

Step-by-step explanation:

Volume = side · side · side

∛496 = 7.915783219

[tex]at a school of 1050 pupils exactly 4% are absent on a particular day.how many are present.[/tex]
at a school of 1050 pupils exactly 4% are absent on a particular day.how many are present.

Answers

There would be exactly 1008 students present on the particular day

If f(x)=6, what is x?

Answers

Answer:so: 6=6/5-x^3

6=6(5-x^3)

6=30-6x^3

-6x^3=6-30

-6x^3=-24

-6x^3+24=0

6x^3-24=0

6(x^3-4)=0

x^3-4=0

x^3=4

x=cube root 4

x=1.5874

Step-by-step explanation:

in a class there are 48 students the number of the girls is 3 times how many boys and girls are in class​

Answers

Answer:

There are 12 boys and 36 girls.

Step-by-step explanation:

This equation should help explain it.

x + 3x = 48

Let's say that there are an x number of boys. Then there would be 3 times x of girls. So x (the boys) plus 3x (the girls) equal 48 (the total amount of students).

To solve this equation, first add x and 3x to get 4x. Then divide that by 48, and we get x = 2.

The amount of boys = x, so there are 12 boys.

The amount of girls = 3x, so there are 3 times 12, or 36 girls.

In which diagram are angles 1 and 2 vertical angles?


Answers

Answer:

Step-by-step explanation:

can you upload diagram?

What is the graph of y=3/4x-3

Answers

Answer:

the answer is graph C

Step-by-step explanation:

babyface_wee

Answer: Graph A

Step-by-step explanation:

y-intercept = -3    So, Not Graph B

Slope = 3/4x = rise 3 run 4 or up 3 right 4. So not Graph C

Graph A meats all the criterias.

The cost of a pen is 3 times the cost of a pencil. The total cost of 8 pencils and 5 pens is $11.50.
Please help me to find the costs of a pen and a pencil.

Answers

Answer:

$5.78

Step-by-step explanation:

brainliest?

Solve the system of equations by substitution.

3x + y = 9z

-5x + 2y = -4z

What is the value for y from the first equation, that could be substituted into the second equation?

-9z + 3x
3z + 9x
9z - 3x
-3x - 9z

Answers

Answer:

x = 1.27

y = 5.18

Step-by-step explanation:

to solve this system of  equation by simultaneous equation we say that let

3x+y=9.............................. equation 1

-5x+2y=4 .......................... equation 2

from equation 1

3x+y=9.............................. equation 1

y = 9 -3x.............................. equation 3

substitute the value of y = 9 -3x into equation 2

-5x+2y=4 .......................... equation 2

-5x + 2( 9 -3x) = 4

-5x + 18 - 6x = 4

collect the like terms

18 - 4 = 6x + 5x

14 = 11x

divide both side by 11

14/11 = 11x/11

x = 14/11

x = 1.27

put the value of x = 1.27 into  equation 3

y = 9 -3x.............................. equation 3

y = 9 - 3( 1.27)

y = 9 - 3.82

y = 5.18

to check if you are correct put the value of x and y into either equation 1 or equation 2.

3x+y=9.............................. equation 1

3( 1.27) + 5.18 = 9

3.81 + 5.18 = 9

9 = 9

Le regioni italiane bagnate dal mare sono un insieme?

Answers

Answer:

non so cosa intendi per intero

Step-by-step explanation:

Può essere più preciso?

What are numbers that add to 50 and subtract to 10

Answers

Answer:

30 plus 20 is 50

30 minus 20 is 10

Which fraction is larger? 2/3, 3/4, 3/5, 5/7

A: 2/3 B: 3/4 C: 3/5 D: 5/7​

Answers

I think it is A not 100% sure tho!

A unit cube could be 6 units long by 6 units wide by 6 units tall. True or false?

Answers

Answer:

True

Step-by-step explanation:

-5 x -0.2 i got stuck here

Answers

A negative times a negative is a positive. The answer is 1

PLEASE ANSWER QUICK AND SHOW WORK

Miss Johnson borrow $8,300 to buy a car. She agreed to a
4% interest rate and payments for 5 years.
How much will her interest be?
What is her total debt for buying the car?

Answers

Answer:

Interest: $402.20

Total Debt owed: $9,302.00

Step 1: Multiply the principal (the original amount borrowed) by the interest rate (%):  

$8,300 x 4% = 360.00 (interest for one year)

Step 2: Find out how many years she will be paying back the loan and add that number of years to the first payment year ($360). ($360 + 5years = 365 total payments) Then multiply the total number of payments by the interest rate ($365 x .04 = $14.60 interest per payment).

Step 3: Add up all the yearly interests ($14.60 per payment x 12 months = $181.20 yearly interest)

Step 4: Add the yearly interest to the total debt owed.  

$9,302 + $181.20 = $9,483.20 total debt

Total amount owing after 5 years = $8,300+($365 x .04 interest rate per payment for 60 months)=10,605.00 dollars owed in 5 years of payments. Interest owed is 10,605 x .04=$410.20 for a grand total of 10,915.20 dollars owed overall for this 4% loan which was paid back over a period of five years with twelve monthly payments per year at four percent interest rate per month ($410.20/12=$34.02).

1. John is going to join a gym. He must pay a one-time membership fee of $75 and a monthly fee of $30. Let m = the number of months John has his membership. Write an expression to represent this situation How much will John pay for 6 months of membership?

2. Madison is having a party. She went to the store and bought a cake for $18.50 and 20 balloons. Her total bill was $63.50. How much did each balloon cost if they all cost the same? Write and solve an equation. Please look over these again. Webmail your answers to get your points back.

Answers

John's membership in the gym and Madison's party are illustrations of linear equations.

1. John's equation

The given parameters are:

[tex]\mathbf{Base = 75}[/tex]

[tex]\mathbf{Monthly = 30}[/tex]

The monthly expression is:

[tex]\mathbf{f(m) = Base + Monthly \times m}[/tex]

So, we have:

[tex]\mathbf{f(m) = 75+ 30 \times m}[/tex]

[tex]\mathbf{f(m) = 75+ 30m}[/tex]

For 6 months, we have:

[tex]\mathbf{f(6) = 75+ 30 \times 6}[/tex]

[tex]\mathbf{f(6) = 255}[/tex]

Hence, the expression that represents the situation is [tex]\mathbf{f(m) = 75+ 30m}[/tex], and the amount for 6 months of membership is $255

2. Madison's party

The given parameters are:

[tex]\mathbf{Cake = 18.50}[/tex]

[tex]\mathbf{Balloon = 20}[/tex]

[tex]\mathbf{Total = 63.50}[/tex]

Let n represent the cost of each balloon.

So, the equation is:

[tex]\mathbf{Cake + Balloon \times n = Total}[/tex]

This gives:

[tex]\mathbf{18.50 + 20 \times n = 63.50}[/tex]

Subtract 18.50 from both sides

[tex]\mathbf{ 20 \times n = 45}[/tex]

Divide both sides by 20

[tex]\mathbf{ n = 2.25}[/tex]

Hence, the expression that represents the situation is [tex]\mathbf{18.50 + 20 \times n = 63.50}[/tex], and the cost of each balloon is $2.25

Read more about linear equations at:

https://brainly.com/question/11897796

7. Proving the Perpendicular Bisector Theorem Using Reflections
Given: Point P is on the perpendicular bisector m of AB.
Prove: PA PB

Answers

6+3 = 9
Explanation:

-3-6 is equivalent to 6-(-3). Subtracting a negative number is the same as adding a positive number, so 6-(-3) is the same as 6+3. 6+3 = 9.

find the slope of the line, given the points (0,2) and (3.6,2) show all your work​

Answers

Answer:

There is no slope because the slope is zero. The line has no slope because it's a vertical line.

Step-by-step explanation:

Slope = [tex]\frac{2-2}{3.6-0} = \frac{0}{3.6} =0[/tex]

Slope =  0

The line has no slope.

Hey, do y2-y1/x2-x1
I believe you should get 0 as your slope.

how far does the object go
2 hours at 75km\h

Answers

Answer:

150 miles per hour

Step-by-step explanation:

Objective: finding the distance

Formula: speed × time =  distance

75 × 2 = 150

final answer: 150 mph

what is the slope of (10,8) and (1,9)

Answers

Answer:

1/-9 or -0.111(repeating)

 

Step-by-step explanation:

Answer:

              (1,9)

Over to the right one. then up nine of a graph

I don’t know what the answer is

Answers

It's number three -6x2 is minus 12
1-12=-11
Is c because 1-6 times 2 equal -11
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