The coordinate plane below represents a city. Points A through F are schools in the city. graph of coordinate plane. Point A is at negative 3, negative 4. Point B is at negative 4, 3. Point C is at 2, 2. Point D is at 1, negative 2. Point E is at 5, negative 4. Point F is at 3, 4. 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: Natalie can only attend a school in her designated zone. Natalie's zone is defined by y < −2x + 2. Explain how you can identify the schools that Natalie is allowed to attend. (2 points)
Answers
Answer:
Part A;
There are many system of inequalities that can be created such that only contain points D and E in the overlapping shaded regions.
Any system of inequalities which is satisfied by (-4, 2) and (-1, 5) but is not satisfied by (1, 3), (3, 1), (3, -3) and (-3, -3) can serve.
An example of such system of equation is
x < 0
y > 0
The system of equation above represent all the points in the second quadrant of the coordinate system.
The area above the x-axis and to the left of the y-axis is shaded.Part B:
Part B
It can be verified that points D and E are solutions to the system of inequalities above by substituting the coordinates of points D and E into the system of equations and see whether they are true.
Substituting D(-4, 2) into the system we have:
-4 < 0
2 > 0
As can be seen the two inequalities above are true, hence point D is a solution to the set of inequalities.
Also, substituting E(-1, 5) into the system we have:
-1 < 0
5 > 0
As can be seen the two inequalities above are true, hence point E is a solution to the set of inequalities.
Part C
:This part is different from yours because my equation is y> 4x + 3 and it's been a long time since I did that task and I don't remember anything. I hope you can do yours from my example.
Given that chicken can only be raised in the area defined by y > 3x - 4.
To identify the farms in which chicken can be raised, we substitute the coordinates of the points A to F into the inequality defining chicken's area.
For point A(1, 3): 3 > 3(1) - 4 ⇒ 3 > 3 - 4 ⇒ 3 > -1 which is true
For point B(3, 1): 1 > 3(3) - 4 ⇒ 1 > 9 - 4 ⇒ 1 > 5 which is false
For point C(3, -3): -3 > 3(3) - 4 ⇒ -3 > 9 - 4 ⇒ -3 > 5 which is false
For point D(-4, 2): 2 > 3(-4) - 4; 2 > -12 - 4 ⇒ 2 > -16 which is true
For point E(-1, 5): 5 > 3(-1) - 4 ⇒ 5 > -3 - 4 ⇒ 5 > -7 which is true
For point F(-3, -3): -3 > 3(-3) - 4 ⇒ -3 > -9 - 4 ⇒ -3 > -13 which is true
Therefore, the farms in which chicken can be raised are the farms at point A, D, E and F.
.Take that exam and got 100% .The exam was 05.13 Segment One Exam Part 3.I really hope this helps you.And please give me the brainliest
Answer:
give person above brainliest
Step-by-step explanation:
its right
Related Questions
Samantha can write 1 1⁄2 pages in 3 minutes. How many pages could she write in 12 minutes?
Answers
Answer:
[tex]6\:\mathrm{pages}[/tex]
Step-by-step explanation:
[tex]3 \times 4 = 12[/tex]
[tex]1\frac{1}{2} \times 4=6[/tex]
Answer:
6 pages
Step-by-step explanation:
1.5 pages x pages
--------------- = ------------
3 minutes 12 minutes
Using cross products
1.5 * 12 = 3x
Divide each side by 3
18 /3 = 3x/3
6 =x
6 pages
Solve for x in the triangle. Round your answer to the nearest tenth.
Answers
Answer:
x ≈ 6.9
Step-by-step explanation:
We use tan∅ to solve this:
tan21° = x/18
18(tan21°) = x
x = 6.90955
Can someone please help
Answers
Answer:
D
Step-by-step explanation:
The figure A will be translated 6 units to the left to make it on figure B
Which set of numbers is arranged in increasing order?
Answers
Answer:
B
Step-by-step explanation:
To solve this, we can make all of the numbers decimals.
π=3.14159265 and so on
Root 10 is about 3.16227766
22/7 is about 3.14285714
3.14 is already a decimal.
Now, our numbers are far easier to compare.
Let's put the numbers in increasing order.
3.14, 3.14159265, 3.14285714, 3.16227766
Substitute the original numbers in.
3.14, π, 22/7, Root 10
Therefore, option B is correct.
True/False Worth
points)
(05.02 LC)
You can draw a quadrilateral with two sets of parallel lines and no right angles.
True
O False
Answers
Answer:
the answer is true
Step-by-step explanation:
Because a parallelogram would be the result.
Help please I’m just tryna get everything done and I’m doing something wrong every time I try to solve these
Answers
Answer:
(A) It's 6/5 (B) It's 7/8
Step-by-step explanation:
Divide each term by -6 simplify.
Hope this helped you! I don't understand the last one sorry.
Answer:
14- yes
15-No
16-11.5
Step-by-step explanation:
14- yes ( attached a picture) 5/6
15-no, because Direct Variation: It is known as the relationship between two variables where the variable quantities have a constant ratio.
8y=7x-27
y=7/8 x-27/8
16- ky=x where k is the constant variation
k=166/83=2
ky=x when x=23
y=x/k=23/2=11.5
The amount of money, in dollars, Sarah has in her savings account is modeled as a function of time in months. This function is represented by the graph below. What is the average rate of change for the amount of money, in dollars per month, from month 0 to month 12? A $25 per month B $50 per month C $300 per month D $500 per month
Answers
Answer:
The average rate of change for the amount of money is A) $25 per month
Step-by-step explanation:
From the graph we can see Sarah earn $50 every two months, 50/2 = 25/1 so we can determine Sarah's average rate of change from month 0 to month 12 is $25 dollars per month. Hope this helped, let me know if you have any questions! :)
(
[tex]( {8x}^{2} + 4x + 4) - (7x + 9)[/tex]
solve
Answers
Answer:
[tex]8x^{2} -3x-5[/tex]
Step-by-step explanation:
[tex]8x^{2} +4x+4-7x-9[/tex]
[tex]8x^{2} +4x-7x+4-9[/tex]
[tex]8x^{2} -3x-5[/tex]
What is the median number of hours volunteered by the students in
the survey?
The median number of hours volunteered is hours.
Answers
Answer:
40
Step-by-step explanation:
The sum equals 80 80/2=40
Answer:
3
Step-by-step explanation: If you write out all the numbers and you cross them out in order you will find that 3 is your median.
Solve 2x + 4 > 16
A. X < 6
B. X > 6
C. X < 10
D. X > 10
Answers
Answer:
B
2(6)+4 > 16 x > 6 2(7) + 4 > 16
12+4=16 14+4>16 18>16
please need help I will be MARKING as BRIANILIST. thank you so much.
Answers
Answer:
C. Multiply 3 by 18
Step-by-step explanation:
Susan reads:
1 page in 3 mins
So,
1 page = 3 mins
If we want the time for 18 pages, we would multiply both sides by 18
So,
18 pages = 3×18 mins
18 pages = 54 mins
Answer:
C
Step-by-step explanation:
1 page every 3 minutes
18 pages will take 3 × 18 = 54 minutes to read.
8. A goldsmith has 130 grams of a gold alloy (a mixture of gold and one or more other metals) containing 85% pure gold. How
much pure gold must be added to this alloy to obtain an alloy that is 90% pure gold?
The amount of pure gold that should be added is
grams.
(Type an integer or a decimal.)
Answers
Answer: 65 grams
Step-by-step explanation:
If 130 grams of a gold alloy (a mixture of gold and one or more other metals) containing 85% pure gold, you should first calculate the amount of gold that makes up this percentage.
That is, 85% of 130 grams.
85/100 × 130 = 110.5
Then, let X be what will be added to the above value to make 90%. So,
(110.5 + X) / ( 130 + X ) × 100 = 90
Divide both sides by 100
(110.5 + X) / ( 130 + X ) = 90/100
(110.5 + X) / ( 130 + X ) = 0.9
Cross multiply and open the bracket
110.5 + X = 117 + 0.9X
Collect the like terms
X - 0.9X = 117 - 110.5
0.1X = 6.5
Divide both sides by 0.1
X = 6.5/0.1
X = 65 grams
Therefore, the amount of pure gold that should be added is 65 grams
4.
Here is the proof of (sin x - cos x)2 = sec2 x - tan2 x - 2sin x cos x.
What is the missing line
Answers
Answer:
See Explanation Below
Step-by-step explanation:
Given
[tex](sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.[/tex]
Required
Prove
To start with; we open the bracket on the left hand side
[tex](sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)[/tex]
[tex](sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)[/tex]
[tex](sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x[/tex]
[tex](sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x[/tex]
Reorder
[tex](sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x[/tex]
From trigonometry;
[tex]sin^2x + cos^2x = 1[/tex]
So;
[tex](sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x[/tex]
becomes
[tex](sin x - cos x)^2 = 1 - 2sinx cos x[/tex]
Also from trigonometry;
[tex]sec^2x - tan^2x = 1[/tex]
So,
[tex](sin x - cos x)^2 = 1 - 2sinx cos x[/tex]
becomes
[tex](sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x[/tex]
Proved
Calculate the mean and median of: 202, 199, 223, 199, 223, 256, 301, 199
a. mean = 199, median= 212.5
b. mean = 225.25, median = 199
c. mean = 225.25, median = 212.5
d. mean = 212.5, median = 225.25
Answers
Answer:
C. mean =225.25, median= 212.5
Step-by-step explanation:
You add all the numbers and divided by the total numbers to get mean, and for get the median you need to put them in order and get the number that is between all the number it be the 202 and 223 so you divide the two number with two and it will be 212.5
Answer:
C. mean =225.25, median= 212.5
Step-by-step explanation:
So I’m not great in math at all I spent 15 min crying because I don’t get it so anyone pls help
Answers
Answer:
A
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 13 and h = 4 , thus
A = [tex]\frac{1}{2}[/tex] × 13 × 4 = [tex]\frac{1}{2}[/tex] × 52 = 26 units² → A
Answer:
A, 26
Step-by-step explanation:
Since the area of a triangle is one half base times height, and we have our height as 4, and our base as 13, we get 1/2 * 13 * 4, which is equal to 13 times 2, which is 26. Thus, our answer is A, 26.
IMAGE 1: Find the value of the indicated trigonometric ratio cos α
IMAGE 2: Find the value of the indicated trigonometric ratio sin β
IMAGE 3: Find the value of the indicated trigonometric ratio cot γ
IMAGE 4: Find the value of the indicated trigonometric ratio tan α (WORTH 30 POINTS!) Thanks!
Answers
Answer:
28.07° ; 70.53° ; 53.13° ; 36.87°
Step-by-step explanation:
Using PYTHAGORAS RULE :
IMAGE 1:
value of cos α equals :
cos α = Adjacent / Hypotenus
cos α = 15 / 17
cos α = 0.88235
α = cos^-1 (0.88235)
α = 28.07°
IMAGE 2:
sin β = Opposite / Hypotenus
sin β = 14√2 / 21
sin β = 0.9428
β = sin^-1(0.9428)
β = 70.53°
IMAGE 3:
From trigonometry :
cot = 1 / tan
Tan = Opposite / Adjacent
Therefore, Cot = Adjacent / Opposite
cot γ = 3/4
cot γ = 0.75
γ = cot^-1 (0.75)
γ = 53.13°
IMAGE 4:
tan α = Opposite / Adjacent
tan α = 15 / 20
tan α = 0.75
α = tan^-1 (0.75)
α = 36.87°
Answer:
15
Step-by-step explanation:
what is the different between -4 and 6.
Answers
Answer:
I'm guessing you would like to know what -4 - 6 is? It's -10.
Step-by-step explanation:
-4 - 6 = -10
You add -4 and 6, and you get -10. I hope this helped or you meant to phrase the question differently.
Answer:
The difference between -4 and 6 is 10
Step-by-step explanation:
Hope this helps :)
The ratio of the angle measures of a triangle is 1:2:2. What is the value of the smallest angle? 180° 90° 72° 36°
Answers
Answer:
36 degrees.
Step-by-step explanation:
All the angles in a triangle add up to be 180 degrees. Since the ratio is 1:2:2, you can say that the angles are x, 2x, and 2x.
x + 2x + 2x = 180
5x = 180
x = 180 / 5
x = 36
Since the smallest part of the ratio is 1, the smallest angle is 36 degrees.
Hope this helps!
hi what is the answer for this
Answers
Step-by-step explanation:
first find the side length by
considering a triangle under
the square
[tex]l \: = \sqrt{ {3}^{2} + {1}^{2} } = \sqrt{10} \: cm \\ area \: = \: \sqrt{10} \times \sqrt{10} = 10 \: {cm}^{2} \: \: \: \: ans[/tex]
the students in Mrs. Kranger's class are holding a car wash to raise money for their end- of- year field trip. they washed 45 cars by noon, and their goal is to wash 110 cars by the end of the day. write and solve an addition equation to find c, the number of cars they still need to wash to meet their goal.
Answers
Answer:
45 + c = 110
c = 65
Step-by-step explanation:
110 - 45 = 65
Please mark as brainliest!
Answer:
They need to wash 65 more cars to reach their goal.
Step-by-step explanation:
45+c=110
subtract 45 from both sides
c=65
Bud's cheeseburger and fries contained 1310 milligrams and 350 milligrams of sodium, respectively. Together they contained 66.4% of the recommended daily intake of sodium for
diet. What is the daily recommended intake of sodium for a 2,000 calorie diet?
Answers
Answer:
The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.
Step-by-step explanation:
In order to calculate the daily intake of sodium we first need to calculate the mass of sodium present in both snacks, this is given by their sum.
[tex]\text{total sodium} = 1310 + 350 = 1660 \text{ mg}[/tex]
We can now apply a rule of three for which the total sodium from the snacks is related to 66.4% in the same proportion as "x" mg, which is the value we want to know, is related to 100%. So we have:
[tex]\frac{1660}{x} \frac{mg}{mg} = \frac{66.4\%}{100\%}[/tex]
[tex]66.4*x = 1660*100\\x = \frac{166000}{66.4} = 2500 \text{ mg}[/tex]
The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.
Answer:
2,500 mg
1,310 + 350 = 1,660
1,660 is 66.4% of 2,500
Help please I don’t understand the concept
Answers
Answer:
B
Step-by-step explanation:
The question is asking for what y would be when x is 2.
So, look on the graph where x = 2.
When x = 2, y = 6.
This means after 2 hours, the cost is $6
Which represents the solution set of 5(x+5) < 85?
X<12
x>12
x<16
x>16
Answers
Answer:
x<12
Step-by-step explanation:
Divide both sides by 5
5(x+5) < 85
5 5
then simply
Answer:
x < 12
Step-by-step explanation:
[tex]5(x+5)<85\\\\5 * x = 5x\\\\5 * 5 = 25\\\\5x+25<85\\\\5x+25-25<85-25\\\\5x<60\\\\\frac{5x}{5}<\frac{60}{5}\\ \boxed{x<12}[/tex]
Can someone help me please!!!
Answers
Answer:
65°
Step-by-step explanation:
180°-50°:130°
130°÷2:65°
130° divide by 2 because the shape was isosceles triangle
Which equation is quadratic in form
Answers
Answer:
The answer is A because the quadratic equation formula
Step-by-step explanation:
because the quadratic equation formula is
ax^2+bx+c=0
and when you sub A into it, you get it in the needed form
Answer:
The Answer is A
Step-by-step explanation:
Solve x/-4 - (-8)=12
16
80
-80
-16
Answers
Answer:
-80
Step-by-step explanation:
Solve for x for the x value.
An electrician uses the function f(x) = 60 + 40x to calculate the total cost, in dollars, for a service call that takes x hours to
complete. What does the coefficient 40 represent?
A)
The electrician works 40 hours.
B)
The electrician charges $40 per hour.
Eliminate
The electrician drives 40 miles to work.
D)
The electrician charges a $40 trip charge.
Answers
Answer:
(B) The electrician charges $40 per hour.
Step-by-step explanation:
Total cost=fixed cost + variable cost
F(x)=60+40x
Fixed cost =60
Variable cost=40x
x=hours of service
40=40 dollar per hour charge
The coefficient 40 represent the electrician charge of $40 per hour
(B) The electrician charges $40 per hour.
Khan academy question
Answers
Step-by-step explanation:
There it is..................
Answer:
(2,5)
Step-by-step explanation:
can someone help me with this pleaseee
Answers
Answer:
The real part is -1
Step-by-step explanation:
The real axis is the horizontal axis
The value on the horizontal axis is -1
The radius of a circle is 9.7 m. Find the circumference to the nearest tenth?(help its urgent)
Answers
Answer:
Step-by-step explanation:
Circumference C=2πr r=radius [tex]\pi =3.14[/tex]
C=2(3.14)9.7
C=60.9