Part A: Using the graph above, create a system of inequalities that only contains points C and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)
Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A. (3 points)
Part C: Erica wants to live in the area defined by y < 7x − 4. Explain how you can identify the houses in which Erica is interested in living. (2 points)
Answers
Answer:n u
Step-by-step explanation:
intercept form: y = mx + b, where m is the slope, Ay/
Ax and b is the y-intercept. Let's choose the red points: Point 1(3,3) and Point 2(-4,-4).
m = (-4 - 3)/(-4 - 3) =1
Then, from the graph, we can see that the intercept is O. So, the equation of the line is y=x. Now, let's find the inequality symbol that applies to C(2,1) and F(3,-4).
Point C;
y? x
1?2
1<2
Point F:
y? x
-4?3
-4<3
That means the inequality symbol should be <. The complete equation is then yPart C. For y < 7x - 4, ignore the equality symbol first and graph the line. Assign random values of x, then you get corresponding values of y. Plot them as shown in the second picture. The line is shown in red. Next, test the equation by choosing a random point. Let's choose the purple point at (4,3).
3?714)-4
3? 24
3 < 24
Thus, it applies to the purple point, and all the other areas to that area. The shaded region are all solutions of the inequality. So, Erica is only interested in points E, C and F.
Related Questions
Find the sum. Write your answer in simplest form.
3/7 + 2/3
Answers
Answer:
Step-by-step explanation:
3/7 + 2/3
Change both to the most common denominator
3/7 x 3/3 = 9/21
2/3 x 7/7 = 14/21
9/21 + 14/21
9+14 = 23
23/21
1 2/21
Not sure if thats helpful or not
Answer:
Step-by-step explanation:
3/7 + 2/3
Change both to the most common denominator
3/7 x 3/3 = 9/21
2/3 x 7/7 = 14/21
9/21 + 14/21
9+14 = 23
23/21
1 2/21
pleasse no wrong answers
Answers
Large Polygon 14 x21= 294
Little Polygon 2x(2x2) =8
294-8=286
Use the info given in the figure to find the length RV. If applicable, round your answer to the nearest whole number. The lengths on the figure are not drawn accurately
Answers
Answer:
this was made on my birthday
Step-by-step explanation:
please help math sucks
Answers
Answer:
o 3 pets, at most, are allowed in the apartment.
Step-by-step explanation:
Answer:A
Step-by-step explanation:
x<=3 means maximum number of pets allowed is 3 so, answer is 3 pets at most allowed
Write and evaluate an expression that tells you to subtract 6 from 9 then subtract the difference from 12 and then multiply by 3 use at least two types of grouping symbols
Answers
Step-by-step explanation:
One possible expression using two types of grouping symbols is:
3 × [(12 - (9 - 6))]
This expression first subtracts 6 from 9 to get a difference of 3, then subtracts that difference from 12 to get a result of 9. Finally, it multiplies 9 by 3 to get a final answer of 27. The grouping symbols used are parentheses to group the subtraction of 6 from 9, and then another set of parentheses to group the subtraction of that difference from 12. The outermost grouping symbols are the multiplication symbol and the pair of brackets used for clarity.
PLEASE HELP! Due TODAY
Write equation to represent the relationship between d(distance traveled) and t(time). Use given variables (lower case), no spaces.
Answers
Answer:
21
Step-by-step explanation:
127137-3218
12339
31
13223
=21
From a log of wood of length (8x+12) m, a piece of length (4x+3) m was cut. Find the length of the remaining log of wood.
Grade#7
Answers
Answer: 4x+9
Step-by-step explanation: (8x+12)- (4x+3)
Answer: (4x+9)
Step-by-step explanation:
Log of wood = (8x+12)
piece length = (4x+3)
So, (8x+12) - (4x+3)
=> (8x+12) - 4x - 3
=> 8x-4x +12 -3
=> 4x + 9
So, the length of the remaining piece of wood = (4x+9)
hope it helps
Simplify the following 5/8 × 6/7.
Answers
[tex] \frac{15}{28} [/tex]
Multiply numerator by numerator and denominator by denominator
Can someone pls help
Answers
∩ · ω · ∩ ⇒ what is the first quartile of the data shown on the box plot in the image ≈
Answers
Answer:
70 I think..... pretty sure... I haven't done these in a while
sorry about the late answer :D
question is below please help me answer it
Answers
1/10= 0.1
3/25= 0.12
7/50= 0.14
9/75= 0.12
13/100= 0.13
B.largest.
Not sure if this helped any. Sorry if it didn’t :(
2A. Find the area of a parallelogram with the following measurements.
a. base = 8cm, height=14cm b. base=18cm, height=6cm
Grade#7
Answers
Answer:
a) formula of parallelogram- BASE × HEIGHT
Step-by-step explanation:
Area:-B×H
area- 8×14
area of parallelogram= 112cm²Therefore :
Area - base x height
Area- 8 x 14
= 112cm squared
Find the measure of
Answers
Answer:
Step-by-step explanation:
hello this is
Answer:
Step-by-step explanation:
A random sample was taken to determine whether students from a certain classroom prefer to shop at Store A, Store B, or Store C. Which of the following would represent a random sample?
A. putting all the names in alphabetical order and selecting every fourth
B. student selecting all the students that have a last name that begins with R
C. selecting all the girls
D. putting all the names in a hat and selecting six student
Answers
Doira has a company that sells plants. She sells 34 for plants for $9,000 each her first day. The next couple days she sells 34 for $99,999 each. If she keeps selling them for $99,999 each for 100 weeks,how many plants will she have sold? How much money will she have made?
Answers
Answer:
1)23,800 plants.
2)$2,380,068,200
Step-by-step explanation:
1) if Doira sells 34 plants for $99,999 each for 100 weeks, she will have sold a total of 23,800 plants.
2.On the first day, Doira sold 34 plants for $9,000 each, so she made a total of 34 x $9,000 = $306,000.
In the following days, she sold 34 plants for $99,999 each, so her daily earnings were 34 x $99,999 = $3,399,966.
If she continues to sell 34 plants for $99,999 each for 100 weeks, she will sell a total of 34 x 100 x 7 = 23,800 plants.
Her total earnings from selling 34 plants for $99,999 each for 100 weeks will be 23,800 x $99,999 = $2,379,762,200.
Adding her earnings from the first day, her total earnings will be $2,379,762,200 + $306,000 = $2,380,068,200.
Answer: she would sell 340 plants and make $9,999,900
Step-by-step explanation:
34 x 100 =340
99, 999 x 100 = 9,999,900
Find 25 more than 15% of 300
Explain
Answers
Answer:
70
Step-by-step explanation:
The explanation is given there...
10% of 300 = 30
5% of 300 = 30/2 = 15
30+15=45
45+25=70
Someone pls do this you don’t have to do all questions. The questions r in the photo
Answers
Step-by-step explanation:
Refer to workings and add the units.
Finish by doing the additions
1. Add beef, onion, potato, tomato and asparagus in the workings
2. Add chicken pea, lentils, onion, potato, tomato and asparagus.
Deduct the total in number 2 from the total in number 1 to get the amount saved.
3. A container of rice milk 3.49
2lb of strawberries at 4.99 per lb= 2 x 4.99 = 9.98
6 babanas at 0.75 each = 6x 0.75 = 4.5
Add together
3.49 + 9.98+4.50 = $17.97
Remember to add units in your workings
Which inequality is not true?
- 7/8 < -0.60
- 7/8 > -0.50
-7/8 > - 15/16
- 7/8 < - 1/4
Answers
Answer:
Step-by-step explanation:
First off let's convert -7/8 to make the comparison easier: -7/8 = -0.875
A. -0.875 < -0.60 True
B. -0.875 > -0.50 is False
C. -0.875 > - 15/16. -15/16 = -0.9375 True
D. -0.875 < - 1/4 -1/4 = -0.25 True
B. -7/8 > -0.50 is False
Hope that helps! :)
please help i only
have 3 more minutes to complete
Answers
Answer:
option d
Step-by-step explanation:
Will give 50 points answer all questions
Answers
Answer:
1: height=3
width = 9
2: 24
3:45
4:60
——————————————————————————————
— number #1
H - 3
W - 9
——————————————————————————————
— number #2
= 24
— number #3
= 45
— number #4
= 60
——————————————————————————————
A wallet contains 23 bills. All the bills are $1 bills and $5 bills. There are 7 more $1 bills than $5 bills. How much money does the wallet contain?
Answers
Answer:
Step-by-step explanation:
Let's say x is the number of $1 bills and y is the number of $5 bills. We know that:
x + y = 23
x = y + 7
We can use rearrange the second equation and add them together to find x. Then, we can plug x into any one of our equations to find y and calculate how much money is in the wallet.
x + y = 23
x - y = 7
2x = 30
x = 15 $1 bills
15 = y + 7
y = 8 $5 bills
15 * $1 + 8 * $5 = $15 + $40 = $55
Hope this helps!
List the decimal numbers 1.54, 1.9, 1.09, and 1.5 in order from least to greatest
Answers
pls, help me with this.
Answers
Answer:
huh
Step-by-step explanation:
Martin used a coordinate plane to design the garden shown. Each unit on the grid represents 10 yards.
How many square yards will the garden be after it is built? What is the total AREA of the garden?
Answers
Lets divide this into the big rectangle being separated from the smaller rectangle at the bottom.
To find the height of the big rectangle, subtract one y-coord of 30 from the other y-coord 80.
80-30=50
To find the length of the big rectangle, subtract one x-coord of 10 from the other x-coord of 100.
100-10= 90
Multiply these to get the area of the big rectangle:
90 x 50 = 4500 units squared
Next, find the smaller recatngle’s area by repeating the previous steps:
Height: 30-10 = 20
Length: 70-40 = 30
Now find the area:
20 x 30 = 600 units squared
Finally, add both of these areas up to find the total area for the original shape:
4500 + 600 = 5100 units squared
Hope this helped!
There are two spinners containing only blue and green slices.
Spinner A has 4 green slices and 16 blue slices.
All the slices are the same size.
Spinner B has 9 green slices and 3 blue slices.
All the slices are the same size.
Each spinner is spun.
List these events from least likely to most likely.
Event 1: Spinner B lands on a blue slice.
Event 2: Spinner B lands on a green or blue slice.
Event 3: Spinner A lands on a yellow slice.
Event 4: Spinner A lands on a green slice.
Answers
Answer:
Step-by-step explanation:
explanation
event 2 has to happen because there are no other colors.
event 1 will likely come next because there are more blue slices than green slices.
event 4 will come best because it is less likely for it to land on a green slice than a blue slice
event 3 can never happen because there are no yellow slices
Jasmine accidentally hot a golf ball through her neighbors window to replace the $150 window she pays her neighbor $10 of her tutoring earnings each week. Write an equation for each problem situation then graph each equation
Answers
Answer: y= -10x+150. The graph would have a slope of negative ten, cross the y-axis at (0, 150), and be decreasing. The line will cross the x-axis at (15,0), meaning it will take 15 weeks to pay her neighbor the money for the window.
Step-by-step explanation: y = the money Jasmine still owes to her neighbor. x = the # of weeks. She pays off ten dollars a week. She needs to pay 150 dollars to her neighbor.
The prize of a pencil is Rupees 12.5 What is the prize of 9 such pens?
Answers
Answer:
Price of 1 pencil is 12.5
price of 9 pencil is 12.5*9
=112.5
Answer:
112.5 rupees
Step-by-step explanation:
12.5 x 9 = 112.5
HURRYY! Will give Brainliest! The amount of sports drink in a cooler during practice is modeled by the equation
y = -24x + 648, where y is the number of ounces in the cooler after practice and x is the number of players at practice who take drinks from the cooler.
Based on the information in the equation, which statements are true?
A. The cooler is meant to be used by only 24 players.
B. Before practice, there are 648 ounces of sports drink in the cooler.
C. If 24 players get drinks from the cooler, they will drink a total of 648 ounces of sports drink.
Answers
Answer:
Step-by-step explanation:
ounces of sports drink in the cooler.
C. Each player is expected to drink 24 ounces of sports drink during practice.
D. If no players take drinks from the cooler, there will be 648 ounces of sports drink in the cooler after practice.
Statement B is true: Before practice, there are 648 ounces of sports drink in the cooler, as the y-intercept of the equation is 648.
Statement C is not true: The coefficient of x, -24, does not represent the amount of sports drink each player is expected to drink. It represents the rate at which the amount of sports drink in the cooler decreases as players take drinks.
Statement D is not true: If no players take drinks from the cooler, x would be 0, and the amount of sports drink in the cooler after practice would be y = -24(0) + 648 = 648. However, this situation is not realistic, as players would normally take drinks from the cooler during practice.
Statement A is not true: The equation does not limit the number of players who can use the cooler. The equation only models the rate at which the amount of sports drink in the cooler decreases as players take drinks.
In mx+b, b is initial value meaning they started with 648 ounces
Will give 50 points, answer all
Answers
Answer:
198
Step-by-step explanation:
length =11
width=18
Length times width = area
11 times 18 equals 198
i hope this helps! <3
168 cm
Explanation:
First we should find the area of the non-shaded parts
Length: 5cm
Width: 4cm
5x4=20
1st square= 20 cm
Length: 5cm
Width: 2cm
5x2= 10
2nd square= 10 cm
Now we add:
20+10=30
Shaded part:
11x18=198
We have to subtract the shaded part by the non shaded part:
198-30=168
Answer= 168cm
Page 2:
Answer 1:
Both are equal
Explanation:
Both are equal because:
A: 8+8+2+2
16+4=20
A=20cm
B: 5+5+5+5
5x4=20
B=20 cm
Answer 2:
16
Explanation:
Since we are already given the product we need to find the factors, square has 4 equal sides so we have to divide by 4:
64/4=16
Ans=16cm
Answer 3:
62cm
Explanation:
We need to divide the shape into 2.
Rectangle 1:
10+5+?+?
Since we already know what one side is it will be the same on the other side:
10+10+5+5
20+10=30
Rectangle 1=30cm
Rectangle 2:
Here we start to add and subtract:
Length: 10-5=5
Width: 6+5=11
5+5+11+11
10+22=32
32 cm
Total:
Now that we know both perimeters we add:
32+30=62
Total=62cm
Match each scenario to the absolute value expression that describes it.
1. the amount of change when the temperature rises from 5°C to 13°C
|+7|
2. the change of an account balance when spending $8
|+8|
3. the change in depth when diving down 7 meters in the ocean
|-7|
4. the amount of improvement when increasing your grade by 7 points
|-8|
5. the change in height when climbing a 5-foot wall
|+5|
6. the distance moved when going backwards five spaces in a board game
|-5|
Answers
1.) |5 - 13| = |-8| = 8
2.) |-8| = 8
3.) |-7| = 7
4.) |7| = 7
5.) |5| = 5
6.) |-5| = 5