Answers
Answer: Choice A) Empty set
This is another way of saying "no solutions"
============================================
Explanation:
Your teacher made a typo. The given inequalities will have boundary lines that both have positive slopes, not negative slopes. So the boundary lines should go uphill as you move from left to right.
See the diagram below to see what the graph should look like.
The upper dashed line is y = (1/2)x+3. The lower dashed line is y = (1/2)x-2
The upper dashed line represents the boundary for y > (1/2)x+3. Region 1 is the set of solution points for y > (1/2)x+3
While the solution set for y < (1/2)x-2 is represented with region 3
There is no overlap between regions 1 and 3 due to the parallel boundary lines.
Put another way: there are no (x,y) points that are in both region 1 and region 3 at the same time.
So that's why there are no solutions to this system of inequalities.
---------------------
Alternative method:
Convert the first inequality into Ax+By > C form
y > (1/2)x+3
2y > x + 6 .... multiply both sides by 2
-x+2y > 6 ... subtract x from both sides
z > 6 .... let z = -x+2y
Convert the second inequality into Ax+By < C form
y < (1/2)x-2
2y < x - 4
-x+2y < -4
z < -4 .... let z = -x+2y
We have some number z that is both z > 6 and z < -4 at the same time, but no such number exists. So this is another way to see we have an inconsistent system with no solutions.
Related Questions
Sam invests a sum of money in a retirement account with a fixed annual interest rate of 7%
compounded quarterly. After 13 years, the balance reaches $19,280.02. What was the amount of
the initial investment? ROUND YOUR ANSWER TO THE NEAREST DOLLAR (do NOT put a dollar
sign $ in your answer)
Answers
Answer:
The initial amount of investment was $7,822
Step-by-step explanation:
The formula for compound interest, including principal sum is:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where
A is the future value of the investment/loan, including interestP is the principal investment amount r is the annual interest rate (decimal)n is the number of times that interest is compounded per unit tt is the time the money is invested or borrowed forLet us use this rule to solve the question
∵ Sam invests a sum of money in a retirement account with a fixed
annual interest rate of 7% compounded quarterly
∴ r = 7% = [tex]\frac{7}{100}[/tex] = 0.07
∴ n = 4 ⇒ compounded quarterly
∵ After 13 years, the balance reaches $19,280.02
∴ A = 19,280.02
∴ t = 13
Substitute these values in the rule above to find P
∵ [tex]19,280.02=P(1+\frac{0.07}{4})^{4(13)}[/tex]
∴ [tex]19,280.02=P(1.0175)^{52}[/tex]
→ Divide both sides by [tex](1.0175)^{52}[/tex]
∴ 7,821.99888 = P
→ Round it to the nearest dollar
∴ 7,822 = P
∴ P = $7,822
∴ The initial amount of investment was $7,822.
what is the answer to 3 * (x+4)
Answers
Answer:
3x + 12
Step-by-step explanation:
A car is traveling at a rate of 10 meters per second in a 20-mile-per-hour speed limit zone.
Answers
22.3694
Step-by-step explanation:
each mps is 2.23694 x 10 = 22.3694
Determine if 0.7653765376537653 is rational or irrational and give a reason for your answer.
Answers
Answer:Yes it is a rational number
Step-by-step explanation: Because any number that repeats is rational <!>Brainiest Appreciated<!>
How do functions and slopes work i dont understand anything work?
Answers
In which pair of figures can Figure A be taken to Figure B by a rotatio
Answers
Answer:
Step-by-step explanation:
I don’t think you added a picture
1. blessing had 180 goats. She sold out of her
goods
to her dad.
a) How many goats did she sell?
b) How many goats does she have?
c) What Fractions of the goats are left?
Answers
Answer:
I think It's A. How many Goats Did She Sell?
Step-by-step explanation:
if she Sold Out of her goods To her dad. I am Thinking Of How many goats Are left.
Which set of ordered pairs represents y as a function of x?
Group of answer choices
{(0, 0), (1, 1), (1, 0), (2, 1)}
{(2, -1), (4, -2), (6, -3), (8, -4)}
{(1, -5), (1, 5), (2, -10), (2, -15)}
{(3, 3), (3, 4), (4, 3), (4, 4)}
Answers
{(2, -1), (4, -2), (6, -3), (8, -4)}
In this relation, each point has a unique x coordinate. None of the x coordinates repeat themselves.
For something like choice A, we have x = 1 repeated. The input x = 1 leads to multiple outputs (y = 1 and y = 0 simultaneously).
The same situation happens in choice C also. This time x = 1 and x = 2 repeat themselves.
Choice D has x = 3 and x = 4 repeat themselves.
A function is only possible if each x input leads to exactly one y output.
Help please help please
Answers
Answer:
A
Step-by-step explanation:
Mr. Gaines is catering his company picnic. He will pay $18.45 for 3 people to eat the barbecue lunch. At this rate, how many people can Mr. Gaines afford to feed on a budget of $1,850.00
Answers
Answer: 300 people
Step-by-step explanation:
From the question, we are informed that Mr. Gaines is catering his company picnic and he will pay $18.45 for 3 people to eat the barbecue lunch. This means the cost per person will be:
= $18.45/3
= $6.15
For $1850, the number of people that Me Gaines can feed will be:
= $1850/$6.15
= 300 people
ill give brainliest please help :(
Answers
Answer:
okay so god,dog,now,won,noon,doom,mood,not,ton,pool
Step-by-step explanation:
what is 27x18= i dont know it
Answers
What is the slope of this equation?y= -1/2x −3 Question 2 options: 0 -3 -1/2
Answers
Answer:
-1/2
Step-by-step explanation:
In the equation y=mx+b..
y and x are the coordinates that go into your function
m is the slope
and b is the y intercept
looking at y=-1/2x-3 i can tell that -1/2 is in the place of m which is slope, and -3 is the y intercept.
The Commutative and Associative Properties are valid or true in both
addition and multiplication.
A.True
B. False
Answers
Answer:
I think its Yes
If a slice of pizza costs $1.50 and you get 5 slices, how much do you
pay?
Answers
Answer:
It cost $7.5 of five slice
Arrange the numbers in increasing order.
3.049 3.059 3.05 3.04
Answers
Explanation: Im guessing increasing order is least to greatest so its 3.04 to 3.049 to 3.05 to 3.059
(PLEASE HELP ITS TIMED SLRGSRPGSRJMP;SXR)
Marie can find the volume of a cube by using the formula V = s ³, where s represents the side length of the cube. If Marie’s cube has a side length of 2 and 1/2 centimeters, what is the volume of her cube? Show your work. Write your answer as a fraction AND a decimal.
Answers
Answer:
8 x 4(7x) x^9
Step-by-step explanation
JUST TAKE THE ANSWER FSBXNFDCDWRGTCHVBHGFDCCFVGHGFVC VBHYREWSZEDXCFGTGVBHJUKJMK
Will mark BRAINLYLIST if you help plzzzzz!!!!!
Answers
Explanation. The top two angles are the same, therefore, 62+62= 124. Since we know a triangle MUST be 180°, 180-124= 56. I hope this is correct and good luck :))
If I multiply
number by 4 and then add 5
the answer is
8. Find this number
Answers
Use the table below to determine the approximate height of the flag pole.
Help pls due tomorrow
Answers
Answer:
its b
Step-by-step explanation:
...........................
Answer:
B 17.5 ft
Step-by-step explanation:
tangent = opposite / adjacent
tan 35° = h / 25
multiply both sides by 25
h = 25 (tan 35°)
tan 35° = 0.70 (from your calculator)
h = 25 (0.70)
h = 17.51 ft.
Someone help me please with a step by step explanation pleaseeeeee?????
Answers
Answer:
2/3 of 45 is 30. 1/6 of 30 is 5 so 25. 2/5 of 25 is 20, so 15
Answer:
15 pieces of candy
Step-by-step explanation:
ok
45 / 3 = 15
15 x 2 = 30
she kept 30 pieces of candy
30 / 6 = 5
5 x 5 = 25
she had 25 pieces of candy after Monday
25 / 5 = 5
5 x 3 = 15
she had 15 pieces of candy after Tuesday
rename the number 600,000
Answers
Answer:
if you're talking about renaming it in word form it would be a six hundred- thousand or is you're doing it in an equation its gonna be (6x10) x (10x1000)
Step-by-step explanation:
Which equation describes the line with a slope of 2 that contains the point (-4,-4)
Answers
Answer:
2x-y=-4
Step-by-step explanation:
(y-y1) = m(x-x1)
m = 2
x1 = -4
y1 = -4
(y+4)=2(x+4)
y+4=2x+8
2x-y+4=0
Which of the following are equations for the line shown below? Check all that apply.
A y-5=1.5(x-4)
B y-4=1.5 (x-5)
C y-2=1.5(x-2)
D y=1.5-1
Answers
Answer:
answer is d I think that makes more sense then other options
Marcus is buying taco shells for a party. There will be 13 adults and 17 children
attending the party. He plans to make 3 tacos for each adult and 1 taco for each child.
There are 8 taco shells in each package. How many packages of taco shells will Marcus
need to buy in order to have enough tacos for the people attending the party?
A 7, because (13 x 3 + 17) + 8 = 7
B 28, because (13 x 17 + 3) = 8 = 28
C 80, because (13 + 17) x 8 = 3 = 80
D 15, because (13 + 17 x 4) + 8 = 15
Answers
Answer:
Tacos for adults: 13*3
Tacos for children: 17*1
Total: 39+17
=56
And in each package there will be 8 tacos
So, 56/8 = 7 = No. of tacos needed.
So the corrrect answer is A 7, because (13 x 3 + 17) + 8 = 7
On what interval is the function h(x) = |x − 5| + 2 increasing? A. (2, ∞) B. (5, ∞) C. (-∞, 2) D. (-∞, 5)
Answers
Answer:
The user above is correct
B. (5, ∞)
Step-by-step explanation:
Correct on plato/edmentum test
The graph of the function h(x) = |x − 5| + 2 is increasing over the interval B. (5, ∞)
What is a function?A function is an expression that shows the relationship between two or more variables and numbers.
Given the function:
h(x) = |x − 5| + 2
From the graph of h(x), it is increasing over the interval B. (5, ∞)
Find out more on function at: https://brainly.com/question/2833285
#SPJ2
5 − (x + 5) > −2(x + 4)
1) x > −8
2) x −18
4) x < −18
Answers
Answer:
1) x>-8
Step-by-step explanation:
love your pfp and user btw :>>
if y=16 when x=4, find y when x=6.
Answers
Answer:
y = 24
Step-by-step explanation:
Its hard to explain
What is 30 ÷ 2334565
Answers
Answer:
In decimal form: 0.0000128503597
Other formats:
In scientific notation: 1.2850357x[tex]10^{-5}[/tex]
Answer:
0.0000128504
Step-by-step explanation:
per mycalculator
30÷2,334,565
The distance in meters, d, that Josefina walks over time in minutes, t, is given by this equation.
d=100t
How many meters does Josefina walk per minute?
Answers
Answer:
She walks 100 m in 1 minute
Step-by-step explanation:
Here, given the equation, we want to know the distance covered in a minute
From the question, the equation is;
d = 100t
so when t is 1
d = 100 * 1 = 100 m