Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to this system of inequalities in the coordinate plane.
3y>2x=+12
2x+y≤-5
Answers
Answer:
We have the system:
3y>2x+12
2x+y≤-5
The first step will be to write the inequalities as lines:
y > (2x + 12)/3
y ≤ -5 - 2 x
Now that the equations are written in slope-intercept form, we just need to draw the lines.
In the first case, we have the symbol ">", which means that the line will be a dashed line, and the shaded area will be above that line.
In the second equation we have the symbol "≤", this means that the line will be a solid line, and the shaded area will be below that line.
The graph of both inequalities is shown below. Where the solution to the system is the double shaded area.
Answer:
Thanks to Facundo doing all the work, all I did was plug in the numbers on a graphing calculator.
Step-by-step explanation:
Using the graphing calculator, "y>(2x+12)/3" has points at (-6,0) and (0, 4) and isn't shaded because there isn't a line under the greater than/less than sign.
Using the graphing calculator again, we plug in the inequality "y≤-5-2x". This has points at (-5, 0) and (0, -5) and is shaded because there is a line under the greater than/less than sign. A picture of this is attached.
Again, thank you Facundo. Refer to his explanation to find out how to make the inequalities lines.
Please rate this to give me feedback if this kind of format is good for answering questions.
Related Questions
Marvin is making lemon bread and pumpkin bread for a school bake sale. he needs 4 and 1/2 cups of flour for the lemon bread and 1 and 1/2 times as much flour for the pumpkin bread. he only has 2 and 1/8 cups of flour left in his pantry, so he buys a new bag from the grocery store. how much flour will marvin use from the new bag? write your answer as a whole number, fraction, or mixed number. simplify any fractions.
Answers
[tex]\frac{73}{8}[/tex] cups or [tex]9\frac{1}{8}[/tex] cups or 9.125 cups of flour will be used from new bag.
Flour required for lemon bread = [tex]4\frac{1}{2}[/tex] cups
Flour required for lemon bread = [tex]\frac{(4*2)+1}{2}[/tex]
Flour required for lemon bread = [tex]\frac{9}{2}[/tex] cups
Flour required for pumpkin bread = [tex]1\frac{1}{2} * \frac{9}{2}[/tex]
Flour required for pumpkin bread = [tex]\frac{(2*2)+1}{2}* \frac{9}{2}[/tex]
Flour required for pumpkin bread = [tex]\frac{5}{2}*\frac{9}{2}[/tex]
Flour required for pumpkin bread = [tex]\frac{45}{4}[/tex] cups
Now, the amount of flour Marvin already has = [tex]2\frac{1}{8}[/tex]
The amount of flour Marvin already has = [tex]\frac{(2*8)+1}{8}[/tex]
The amount of flour Marvin already has =[tex]\frac{17}{8}[/tex] cups
The amount of flour needed from new bag = [tex]\frac{45}{4}-\frac{17}{8}[/tex]
Taking LCM, we get 8
The amount of flour needed from new bag = [tex]\frac{(45*2)-17}{8}[/tex]
The amount of flour needed from new bag = [tex]\frac{90-17}{8}[/tex]
The amount of flour needed from new bag = [tex]\frac{73}{8}[/tex] cups
Hence, the amount of flour that will be used from new bag is [tex]\frac{73}{8}[/tex] cups or [tex]9\frac{1}{8}[/tex] cups or 9.125 cups.
Learn more about mixed number -
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Use Pythagorean Theorem to solve for D. Round your answer to the nearest tenth
A. 12.6
B. 18.9
C. 13.2
D. 19.1
Answers
Answer:
18.9
Step-by-step explanation:
hope this helps
Maria solved an equation as shown below.
3 (x + 6) = 5 (x minus 4). 3 x + 18 = 5 x minus 20. 38 = 2 x. 19 = x.
What is the solution to Maria’s equation?
19
38
no solution
infinitely many solutions
Answers
Answer:
19
Step-by-step explanation:
3 (x + 6) = 5 (x - 4).
3x + 18 = 5x - 20.
38 = 2 x.
19 = x.
Answer:
19
Step-by-step explanation:
Can someone help me this math question
Answers
but i’m not sure about the rest sorry !
soo like anybody up still?
orrrr..
Answers
Answer:
yes we chilling hbu gee
Answer:
hello
I am Shashwat
thanks for free point
What is the answer to (3-4i)(5+6i)
Answers
15+18i-20i-24i^2
15+18i-20i+24=
39-2i
Answer:
39 - 2i
Step-by-step explanation:
First, you need to FOIL the equation:
[tex](3 - 4i)(5 + 6i) \\15 + 18i - 20i - 24i^2\\15 - 2i - 24(-1)\\15 - 2i + 24\\39 - 2i\\[/tex]
Remember that [tex]i^2[/tex] equals -1.
Therefore, the answer to this question is 39 - 2i
I hope this helps!!
- Kay :)
(3, 6) and (-2,5)
find the slope
Answers
Slope = 1/5 = 0.2.
You're welcome
Q6: Women's heights have a mean of 63.6 inches and a standard deviation
of 2.5 inches. What is the z-score corresponding to a woman with a height
of 70 inches? Is this usual or unusual?
A. Z-score is 2.56 and is usual. B. Z-score is 2.56 and is unusual
C. Z-score is -2.56 and is usual D. Z-score is -2.56 and is unusual
Answers
Answer:
A
Step-by-step explanation:
Hopefully this helps
The three line segments dividing the two sides of the triangle shown are parallel to the base of the triangle.
Answers
3. Which of the following are equivalent to the ratio 2:3? (select all that apply)
a. 3:4.5
b. 6.5:9.75
C. ½ : ½
d. ¾:1
e. 10:12
Answers
So multiplied by 2 is 2:3.
The price of a sofa was £880. It was reduced in a sale by 35%. What is the cost of the sofa in the sale?
Answers
Answer: 308
Step-by-step explanation:
SOLUTION STEPS
880×35%
Reduce the fraction
[tex]\frac{35}{100}[/tex]
to lowest terms by extracting and canceling out 5.
[tex]880*(\frac{7}{20} )[/tex]
Express [tex]880*(\frac{7}{20} )[/tex]
as a single fraction.
[tex]\frac{880*7}{20}[/tex]
Multiply 880 and 7 to get 6160.
[tex]\frac{6160}{20}[/tex]
Divide 6160 by 20 to get 308.
308
Meghan reduced the size of a rectangle to a height of 2 inches. What is the new width if it was originally 24 inches wide and 12 inches tall?
Answers
Answer:
Step-by-step explanation:
2/12 = 1/6
24 * 1/6 = 4
or
12/24 = 2/x
12 x = 48
x = 4
or the original width was twice the length
twice 2 is 4
9 pounds of kitty litter cost $8.64. What is the price per ounce?
Answers
Answer:
the litter costs $0.06 per ounce, since there is 16 ounces in a pound and 9 pounds meaning g there is 144 ounces 8.64 ÷ 144
WILL GIVE BRaINLISt!!
2. Draw the following lines and then write an equation for each
a. Slope is 0, y-interceptis 5
b. Slope is 2, y intercept is -1
c. Slope is -2, y-intercept is 1
d. Slope is }, y-intercept is -1
Answers
Answer:
b
Step-by-step explanation:
9. What is the Greatest Common Factor (GCF) of 9 and 12? *
108
о
O 36
o
9
3
Answers
Answer:
3
Step-by-step explanation:
We found the factors and prime factorization of 9 and 12. The biggest common factor number is the GCF number. So the greatest common factor 9 and 12 is 3.
Hope this helps!
Help ill give brainlist
Answers
A= 2x10=20
20-16=4
Ratio is 1:3
So 12divided by 3 = 4
In triangle ABC, AC = 8 cm, BC = 5 cm, and mZACB = 30°.
Exactly how long is AB ?
Answers
which statements describe transformations performed in f (x) = x^2 to create g (x) = 2x^2 + 5? select all that apply.
a. a vertical stretch with a scale factor of .5
b. a translation of 5 units to the right.
c. a translation of 5 units up.
d. a vertical stretch with a scale factor of 2.
Answers
Answer:
The statements describe transformations performed in f(x) to create g(x) are:
a translation of 5 units up ⇒ c
a vertical stretch with a scale factor of 2 ⇒ d
Step-by-step explanation:
If f(x) stretched vertically by a scale factor m, then its image g(x) = m·f(x)If f(x) translated vertically k units, then its image h(x) = f(x) + kLet us use these rule to solve the question
∵ f(x) = x²
∵ g(x) is created from f(x) by some transformation
∵ g(x) = 2x² + 5
→ Substitute x² by f(x) in g(x)
∴ g(x) = 2f(x) + 5
→ Compare it with the rules above
∴ m = 2 and k = 5
→ That means f(x) is stretched vertically and translated up
∴ f(x) is stretched vertically by scal factor 2
∴ f(x) is translated 5 uints up
The statements describe transformations performed in f(x) to create g(x) are:
a translation of 5 units upa vertical stretch with a scale factor of 2Lily wants to buy a cow but can't afford the $25 it costs. Later in the year it is at an affordable $15 and Lily can buy it. What percentage of a
discount was on the cow? Please explain :)
Answers
Answer:
There was 60% discount on the cow.
Step-by-step explanation:
Cost of cow = $25Latest price = $15Discount can be calculated by dividing the latest price by the original price and multiplying by 100.
Thus,
percentage discount = 15/25 × 100
= 0.6 × 100
= 60%
Thus, there was 60% discount on the cow.
Landon left his house at time zero and drove to the store, which is 6 blocks away, at a speed of 3 blocks per minute. Then he stopped and went into the store for 7 minutes. From there, he drove in the same direction at a speed of 2 blocks per minute until he got to the bank, which is 4 blocks away from the store. He stopped at the bank for 5 minutes. Then he drove home at a speed of 5 blocks every minute. Make a graph of showing the number of blocks away from home that Landon is xx minutes after he leaves his house, until he gets back home.
Answers
Answer:
Step-by-step explanation:
The route Landon took starting at time t = 0 is
Home ⇒ Store ⇒ Bank ⇒ Home
Let's compute cumulative distances(in terms of blocks) and cumulative time using Landon's speed and stay at various places in order to plot a graph. (Note: cumulative means total so far; we add current value to previous total)
The graph will have cumulative time t (in minutes) on the X-axis and cumulative distance d (in terms of blocks) on the Y-axis. We will indicate Landon's position at any time with the coordinates (t, d)
At time t=0 Landon is at home so d = 0Landon's position at time t=0 is (0, 0) Home ⇒ Store
Total distance traveled = 6 blocks at a speed of 3 blocks per minute
Time taken to reach store = 6/3 = 2 minutes.
Cumulative time t = 0 + 2 = 2 minutes
Cumulative distance = 0 + 6 = 6 blocks
Landon's position is (2, 6)
Landon stayed at the store for 7 minutes. So between t=2 and t=2+7 distance remains unchanged
Cumulative time = 2 + 7 = 9 minutes
Cumulative distance = 6 + 0 = 6 blocks
Landon's position at t = 9 is (9, 6)
Store ⇒ Bank
Speed was 2 blocks per minute and covered 4 blocks
So time taken = 2 minutes
Cumulative time t = 9 + 2 = 11 minutes
Cumulative distance d = 6 + 4 = 10 blocks.
So Landon's position is (11 , 10)
Bank Stop : 5 minutes
Cumulative Time t = 11 + 5 16 minutes
Cumulative distance d = 10 + 0 = 10 blocks (distance unchanged)
Landon's position: (16, 10)
Bank ⇒ Home
Total distance covered = 10 blocks at a speed of 5 blocks per minute
Time taken = 10/5 = 2 minutes
Cumulative time t = 16 + 2 = 18 minutes
Distance from home is 0
Landon's position is (18, 0)
Plot these boldfaced values on a graph and connect them with line segments to get the graph
Amber and Jesse are each given a clue about a mystery number. Amber's clue says the sum of half a number and eighteen. Jesse's clue says the difference of eleven minus three times a number. If Amber and Jesse have the same mystery number, what is the mystery number? **Write the equation and solve for the variable.
Answers
Answer:
1/2x + 18 = 11 - 3x
Step-by-step explanation:
x = -2
Solve the equation. Explain or show your reasoning.
1/2 x -7 = 1/3 (x-12)
Answers
Answer:
x = 18
Step-by-step explanation:
1: 1/2x - 7 = 1/3x - 4
2: 3/6x - 7 = 2/6x - 4
3: 3/6x = 2/6x + 3
4: 1/6x = 3
5: x = 18
Can someone please help me
Answers
Ralph went for a drive in his new car he drove at a speed of 62.5 miles per hour for 5 hours how many miles did he drive
Answers
Answer:
in step by step
Step-by-step explanation:
Distance problems are word problems that involve the distance an object will travel at a certain average rate for a given period of time.
The formula for distance problems is: distance = rate × time or d = r × t.
Things to watch out for:
Make sure that you change the units when necessary. For example, if the rate is given in miles per hour and the time is given in minutes then change the units appropriately.
It would be helpful to use a table to organize the information for distance problems. A table helps you to think about one number at a time instead being confused by the question.
Distance Problems: Given Total Time
Example:
John took a drive to town at an average rate of 40 mph. In the evening, he drove back at 30 mph. If he spent a total of 7 hours traveling, what is the distance traveled by John?
Solution:
Step 1: Set up a rtd table.
r
t
d
Case 1
Case 2
Step 2: Fill in the table with information given in the question.
John took a drive to town at an average rate of 40 mph. In the evening, he drove back at 30 mph. If he spent a total of 7 hours traveling, what is the distance traveled by John?
Let t = time to travel to town.
7 – t = time to return from town.
r
t
d
Case 1
40
t
Case 2
30
7 – t
Step 3: Fill in the values for d using the formula d = rt
r
t
d
Case 1
40
t
40t
Case 2
30
7 – t
30(7 – t)
Step 4: Since the distances traveled in both cases are the same, we get the equation:
40t = 30(7 – t)
Use distributive property
40t = 210 – 30t
Isolate variable t
40t + 30t = 210
70t = 210
210/70
Step 5: The distance traveled by John to town is
40t = 120
The distance traveled by John to go back is also 120
So, the total distance traveled by John is 240
Answer: The distance traveled by John is 240 miles.
Three partners x,y and z contribute an amount of ksh 1400000 for an investment .The profit from the investment is to be shared based on the contribution of each.A profit of ksh 250000 after one month.If x got sh 60000, y got 110000 and the remainder was Z .Calculate the ratio of the contribution
Answers
Answer:
The ratio of the contribution x:y:z is 6:8:11
Step-by-step explanation:
Firstly, we need to know the amount in which Z got
That will be 250,000-x-y
= 250,000- 60,000 - 110,000 = 80,000
So the ratio of the contribution in x:y:z will be;
60,000:110,000:80,000
= 6:11:8
A student's grade in a Psychology course is comprised of tests (40%), quizzes
(20%), papers (20%), and a final project (20%). His scores for each of the
categories are 85 (tests), 100 (quizzes), 92 (papers) and 84 (final project).
Calculate his overall grade.
Answers
Someone please help pleaseeee
Answers
Please helpppp!
Find the measure of central angle YZU
Thank you!
Answers
Last year, half the graduates from Harold's Clown College became circus clowns. Another 60 graduates became rodeo clowns. The rest of the graduates became mimes. Harold's Clown College has 200 graduates last year. What percentage were mimes?Immersive Reader (3 Points) 20% 40% 60% 100%
Answers
Answer:
20 percent
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
since 100% is a 200, half of them were circus clowns 200/2 = 100
so 100 persons are 50%
from these 100, only 60 graduated as rodeo clowns and 40 as memes
1 percent of 200 is 2, so 40/2=20%
PLS, I NEED HELP!!! 7TH GRADE MATH
Answers
Answer:
A. TRUE
B. FALSE
C. TRUE
D. TRUE