Which system of inequalities is shown?
a.y > x
y > 2
b. y > x
y < 2
c. y < x
y < 2
d. y < x
y > 2
Answers
y < x
y < 2
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Explanation:
The horizontal line is y = 2 since all points on this line have a y coordinate of 2. Eg: (0,2) and (5,2)
Since we shade everything below this line, we're describing the inequality y < 2. All points in the shaded region for this describe anything with a y coordinate smaller than 2. Eg: (7,1)
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At the same time, we're also shading below the line y = x to form the inequality y < x.
So that's how we end up with this system
[tex]\begin{cases}y < x\\y < 2\\\end{cases}[/tex]
which describes the set of all points below the lines y = 2 and y = x. The dashed lines indicate that points on the boundary do not count as solution points. For example, (5,2) is not a solution because it rests on the upper horizontal boundary.
Related Questions
The paragraph below comes from the rental agreement Susan signed when she opened her account at Super Video.
“All rentals are due back by midnight of the due date as printed on the transaction receipt. Any rental not received by midnight on the day it is due is subject to a late charge of $1.50 for each day it is late. Any rental not returned by the fifth day after the due date will be transferred to a sale. The Customer will then be required to pay the purchase price of the item in addition to five (5) days of late fees. The Customer will not be required to return the product once the total balance is paid.”
Both of Susan’s movies are three days late. According to her receipt, the purchase price of one of her movies is $12.00 while the purchase price for the other movie is $15.00. If she turns both of them in today, how much will Susan owe Super Video?
A) $4.50
B) $9.00
C) $27.00
D)$38.00
Answers
Answer:
$9
Step-by-step explanation:
(2 movies returned late)
3 days late
$1.50 per day late fee
equaling $4.50 per movie
TOTALING $9
TOTALING $9.00
Answer:
B) $9.00Step-by-step explanation:
Since its less than 5 days, Susan will have to pay only late charge fee for two movies for 3 days.
The amount to be paid:
3*2*$1.5 = $9Correct choice is B
True or False:
Rachel used 12 centimeters of tape to wrap 3
presents.
Her unit rate is 12.
Select one:
True
O False
Check
No links.
Answers
Answer:
False
Step-by-step explanation:
The unit rate should be 9
Answer:
i think false
Step-by-step explanation:
if im wrong forgive if am right brainliest pls:)
Riley is saving up to buy a new television. She needs a total of $1,164.38. Riley has saved $200.66 already and earns $80.31 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
Answers
2. Now we can divide $963.72 by how much Riley earns in a week $80.31 to find the number of weeks: 12 weeks
Answer: 12 weeks
Hope this helps!
The x intercept of the inequality y > 12 - 3x is (a, 0) What is the value of a? (100 points)
Answers
Answer:
a > 4
Step-by-step explanation:
y > 12 - 3x, given the points(a, 0)
We just have to substitute the point of x and y
=> 0 > 12 - 3a
=> - 12 > - 3a,
divide both sides by the coefficient of a
=> - 12/-3 < a
Therefore a > 4
Some friends played a board game. During the game, one unlucky player had to move 5 spaces 7 turns in a row. Find a number to represent that player’s movements for those 7 turns.
Answers
Answer:
The unlucky player moved 35 spaces after moving five spaces seven turns in a row.
Step-by-step explanation:
Our equation formed is: 7 x 5 = x
=> 7 x 5 = x
=> x = 35.
Therefore, the unlucky player moved 35 spaces.
Help please n ty . ill give you brainiest and 50 points
Answers
Answer:
ok whats the question?
Step-by-step explanation:
In 1993, the moose population in a park was measured to be 4650. By 1998, the population was measured
again to be 4100. If the population continues to change linearly:
A.) Find a formula for the moose population, P, in terms of t, the years since 1990.
P(t) =
B.) What does your model predict the moose population to be in 2006?
Answers
Answer:
Here plz give brainliest not easy to explain in detail like this
Step-by-step explanation:
We will consider x on the graph to be years since 1990 and y on the graph to be the number of Moose.
We have two points on the graph: (4, 4290) and (8, 3850)
Using the slope formula (m = [y2 - y1]/[x2 - x1]), we can find the slope of this line:
m = (y2 - y1)/(x2 - x1) Slope formula
m = (3850 - 4290)/(8 - 4) Substitution
m = -440/4 Solve the subtraction problems in the parenthesis
m = -110 Reduce the fraction
Now that we have the slope of the line, we can use the point-slope formula (y - y1 = m[x - x1]) to find the equation for the line. I will use the first point, but either point will produce the same answer.
y - y1 = m(x - x1) Point-slop e formula
y - 4290 = -110(x - 4) Substitution
y - 4290 = -110x + 440 Distribute the -110
y - 4290 + 4290 = -110x + 440 + 4290 Add 4290 to each side
y = -110x + 4730 Simplify
Since the formula that is being sought is supposed to be interms of P and t, I will replace y with P and x with t.
P(t) = -110t + 4730
To predict the population in 2006, we need to determine the years from 1990 to 2006.
2006 - 1990 = 16
P(16) = -110 (16) + 4730
P(16) = -1760 + 4730
P(16) = 2970
PLS HELP WILL MARK BRANLIEST ! NO FAKE ANSWERS!!!
Answers
Answer:
You can solve this with long division:
Answer:
Area = 2x²+3x+4Step-by-step explanation:
Volume :
V= abh
Area:
S=ab or V:h
In our case :
[tex]abh=(2x^3+7x^2+10x+8 ) \\\\ h=x+2[/tex]
Let's use Synthetic division:
[tex]\large \boldsymbol{}x+2=0 \to x=-2 \\\\ \underline{\begin{array}{c|c|c|c|c|} \bf \stackrel{x+2}{-2} \ & \stackrel{x^3}{2} \ & \stackrel{x^2}{7} \ & \stackrel{x}{10} \ & { \stackrel{1}{8} \ }\end{array}}[/tex]
[tex]\large \boldsymbol{} \underline{\begin{array}{c|c|c|c|c|c|} \ & \ \ \ & \ \ \ & -4 & -6 & -8\end{array}}[/tex]
[tex]\large \boldsymbol{} \underline{\begin{array}{c|c|c|c|c|c|} \ & \ \ \ & \ \ \ & \ \ \bf3 \ & \ \ \bf4 \ & \bf 0 \ \end{array}}[/tex]
Then :
[tex]\large \boldsymbol{}(2x^3+7x^2+10x+8) :(x+2)= \\\\(2x^2+3x+4)(x+2):(x+2)=\boxed{2x^2+3x+4}[/tex]
Area = V:h ⇒ 2x²+3x+4To solve two-step equations, it is useful to use reverse ________________ as a guide to isolate the variable efficiently. *
Answers
Answer:
operations
Step-by-step explanation:
to solve two-step equations, it is useful to use reverse operations as a guide to isolate the variable efficiently.
Two sides of a triangle are 6 cm and 8 cm long. What can be the length of its third side.(Write all the possible lengths)
explain.............................................................
Answers
Answer:
Let the. length of 3rd side of a ∆ be x.
x>(8–6) cms. and. x <(8+6) cms.
or. x > 2 cms. and. x < 14 cms
or. 2 cms < x < 14 cm
Step-by-step explanation:
find the answer here
I need help with these
Answers
I was too lazy to write all that on here so i did it on paper to make it easier, hope this helps :)
A scientist tracks wolf populations in two parks. One population consists of 20 wolves and is increasing by an average of 2 per year. The other consists of 15 wolves and is increasing by an average of 3 per year. Write an equation that can be used to determine how many years, y, it will take for the two populations to be equal.
Answers
Answer:
it will take 5 years for them to be equal
Step-by-step explanation:
1st year they will be 22-18
2nd year they will be 24-21
3rd year they will be 26-24
4th year they will be 28-27
Finally the 5th year they will be 30-30
Help snsnsnansnsnsnsns
Answers
Answer:
answer is 420-69
Step-by-step explanation:
because those numbers are great
Which of these are a multiple of 12? 2,8,16,24
Answers
Answer:
Step-by-step explanation:
24 is the multiple of 12
24 is a multiple of 12, so 24 is the correct answer of this question
Help me with this question please!! Show all work
Answers
Answer:
439
Step-by-step explanation:
The denominator simplifies to 106/15
The question becomes
3+1/(106/15)=3+15/106=333/106
Therefore m+n=439
Can sides with lengths of 8, 3, 8 form a triangle
Answers
Answer:
Yes, sides with lengths of 8, 3, 8 can form a triangle. The type of triangle sides with these lengths would form is called an isosceles triangle. Isosceles triangles have three sides, two of which are equal.
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST THANKS
Answers
Answer:
The Forth Answer
Step-by-step explanation:
I Think That Is correct
Lila would like to take a ceramics class the class cost $120 she have saved $80 so far
Answers
PLS HELP ME 86 points
Answers
Answer:is easy
Step-by-step explanation:
your answers are:
A. 76
B. 35
C. 48
D. 62
E. 77
F. 78
G. 87
H. 67
I. 32
J. 63
K. 72
L. 78
Jillian and Camilla need 5 feet of ribbon to make a craft. Jillian has 2 4/5 feet of ribbon. Camilla has 2 3/5 feet of ribbon. How much ribbon do they have altogether? Select all that apply. *
Answers
Answer:
5 2/5 ft
Step-by-step explanation:
2 4/5 + 2 3/5 = 4 7/5 = 4 + 5/5 + 2/5 = 4 + 1 + 2/5 = 5 2/5
Answer:
5 2/5 feet of ribbon
Step-by-step explanation:
2 4/5
+ 2 3/5
5 2/5
plz mark brainliest
2. If triangle ABC is congruent to triangle DEF by SAS, AB=DE,
Answers
Answer:
I can't Respond since I have no picture to help you or me
Step-by-step explanation:
Without the Picture I can't determine if the triangle ABC is congruent to triangle DEF by SAS, AB=DE
Write an ordered pair for the point in
Quadrant IV that is 4 units away from
point S(-1.5, -2.5) on the coordinate
plane.
Answers
If a point in Quadrant IV is 4 units away from this point, the resulting point will be (-1.5+4, -2.5-4) which is (2.5, -6.5)
If we have a coordinate point (x, y) in quadrant 4, if the coordinate is 4 units away, the resulting coordinate will be expressed as (x+4, y - 4)
Given the point S(-1.5, -2.5) on the coordinate the plane, if a point in Quadrant IV is 4 units away from this point, the resulting point will be (-1.5+4, -2.5-4) which is (2.5, -6.5)
Learn more here: https://brainly.com/question/2565050
Write 49 as a product of primes
Answers
Answer:
7×7 = 49
Step-by-step explanation:
7 is a prime number. 7×7= 49 (product of primes)
Help me urgently i have to submit a t today
Answers
Answer:
6/5
Step-by-step explanation:
He reads 1.2 page every 1 minute, 1.2X15(mins)=18 page.
2. A trader received a commission of 25 percent on the sales he made in a month. His commission was CH¢ 180.00. find his total sales for a month.
Answers
Answer:
CH¢ 720.00Step-by-step explanation:
25% commission equals 180.00
Total sales amount is x:
x*25/100 = 1800.25x = 180x = 180/0.25x = 720Use the solution for the system to find x - y
3x - 2y = 10
2x + 3y = -2
Answers
Answer:
solution is (3,-1/2)
Step-by-step explanation:
In a scale model of a boat 1 inch represents 8 feet
Answers
Answer:That is amazing.
Step-by-step explanation:
tha t is just wonderful news, now what was the question?
Find the gradient of the line segment between the points (-8,6) and (3,7). Give your answer in its simplest form.
Answers
Answer:
[tex] \frac{1}{11} [/tex]
Step-by-step explanation:
[tex]\boxed{gradient = \frac{ y _1 - y_2}{x_1 - x_2} }[/tex]
Gradient of line segment
[tex] = \frac{7 - 6}{3 - ( - 8)} [/tex]
[tex] = \frac{1}{3 + 8} [/tex]
[tex] = \frac{1}{11} [/tex]
Question 1 of 25
Which of these numbers is in the solution set of x- 12 = 3?
O A. 15
O B. -9
O C. 9
OD. 4
Answers
x-12=3 x=15
Mrs. Burns purchased 12 ears of corn for $5.76. What is the price per ear of corn?
Answers
Answer: 0.48
Step-by-step explanation: 5.76 divided by 12 equals 0.48 because that determined how much an ear of corn costs.
The price per ear of corn is $0.48