Direction: Determine whether each ordered pairis a solution to the given inequality
Write YES if it is and NO if it is not.
An example is done for you
1.2x - 3y >5 NO a. (-1,0)
b. (2.1)
c. (6,2)
2x - 3y > 5
2(-1)-3(0) >5
2-05
-2 > 5
2. 3y + rs 12
c.(-1,-2)
b. (4,6)
a. (3.-2)
False
b. (7,5)
c. (3,-5)
a. (5.-3)
3. y < 3x - 15
Lesson Graphing a Linear Inequality in
Answers
Answer:
Step-by-step explanation:
1).b). 2x - 3y > 5
For (2, 1),
2(2) - 3(1) > 5
1 > 5
False.
So the answer is NO.
c). For (6, 2),
2(6) - 3(2) > 5
12 - 6 > 5
6 > 5
True.
Therefore, the answer is YES.
2). a). 3y + x ≤ 12
For (3, -2),
3(-2) + 3 ≤ 12
-6 + 3 ≤ 12
-3 ≤ 12
True.
Therefore, answer is YES.
b). For (4, 6),
3(6) + 4 ≤ 12
18 + 4 ≤ 12
22 ≤ 12
False.
Therefore, answer is NO.
c). For (-1, -2),
3(-2) + (-1) ≤ 12
-6 - 1 ≤ 12
-7 ≤ 12
True.
Therefore, answer is YES.
3). a). y < 3x - 15
For (5, -3),
-3 < 3(5) - 15
-3 < 0
True.
Therefore, answer is YES.
b). For (7, 5),
5 < 3(7) - 5
5 < 21 - 5
5 < 16
True.
Therefore, answer is YES.
c). For (3, -5),
-5 < 3(3) - 5
-5 < 9 - 5
-5 < 4
True.
Therefore, answer is YES.
Related Questions
match each set of values to its correct median
Answers
Answer:
purple = 6
orange = 4
blue = 2
red = 5
green = 3
Step-by-step explanation:
hope this helped
Answer:
Step-by-step explanation:
hope this helps
2a+b=5 and 6y+4y=48 show that 20a+10b has a greater value than 3x+2y
Answers
Answer:
Step-by-step explanation:
There is an error in the question. 6x+4y = 48
Multiply first equation by 10:
20x+10y = 50
Divide second equation by 2:
3x+2y = 24
50>24, so 20x+10y > 3x+2y
someone who gets both correct first get BRAINLY!!PLZ HELP ONLY ANSWERS!!!
Answers
Answer:
1 = 11.3
2 = 16
Hope I helped
"The product of a number and -7,
increased by 9, is at most 16."
help please i will give brainliest thanks so much please helppop
Answers
Is the product the same when multiplying 22 x (-5) and multiplying (-5) x 22? Explain
Answers
Answer: Yes it's the same due to communitive property of multiplication
Step-by-step explanation:
22 times -5 is -110
-5 times 22 is -110
Answer: Yes Bc Of Communitive Property
Step-by-step explanation:
SOLUTION: a diver jumps from a diving board that is 24 feet above the water. the height of the diver is given by h= -16(t-1.5)(t+1) where the height h is measured in feet and the time t
Answers
Answer:
The diver will hit the water at 1.5 seconds
Step-by-step explanation:
Given
[tex]h= -16(t-1.5)(t+1)[/tex]
Required (Missing from the question)
When will the diver hit the water?
To do this, we simply solve for t
When the diver hits the water, the height is 0 (at that point)
So, substitute 0 for h in [tex]h= -16(t-1.5)(t+1)[/tex]
[tex]0= -16(t-1.5)(t+1)[/tex]
Divide both sides by -16
[tex]\frac{0}{-16} =\frac{-16(t-1.5)(t+1)}{-16}[/tex]
[tex]\frac{0}{-16} =(t-1.5)(t+1)[/tex]
[tex]0 =(t-1.5)(t+1)[/tex]
[tex](t-1.5)(t+1)=0[/tex]
Split
[tex]t - 1.5 = 0[/tex] or [tex]t + 1 = 0[/tex]
Solve for t
[tex]t = 1.5[/tex] or [tex]t = -1[/tex]
But time (t) can not be negative.
So:
[tex]t = 1.5[/tex]
Hence, the diver will hit the water at 1.5 seconds
A hiker in Africa discover a skull that contains 63% of its original amount of C-14
Answers
Llam is setting up folding chairs for a meeting. If he arranges the chairs In 7 rows of the same length, he has 5 chairs left over. If he arranges the chairs in 5 rows of that same length, he has 23 left over. How many chalrs does Llam have?
Answers
Liam has total 40 chairs with him
Which model represents the factors of x2+9x+8
Answers
Answer:
(x+1)(x+8)
Step-by-step explanation:
Those are the factors of x^2+9x+8
What is 4/5 as decimal
Answers
Answer:
0.8
Step-by-step explanation:
its 0.8 cause you divid 4/5
what is the amount of pieces in each color
Answers
Answer:
brown = 12
yellow = 30
orange = 36
Step-by-step explanation:
let 'b' = # brown
let '18+b' = # yellow
let '3b' = #orange
add them together and set equal to 78
b + 18 + b + 3b = 78
5b + 18 = 78
5b = 60
b = 12
y = 12 + 18 = 30
o = 3(12) = 36
12 + 30 + 36 = 78
Find the 6th term 9 18 36
Answers
Answer:
I think the answer is 288.
Step-by-step explanation:
The rule seems to be multiplying the past number by 2. So, 9*2=18 and 18*2=36. If we continued that rule we would then get 72, 144, and the sixth term is then 288.
hope this helps :D
Answer:
Step-by-step explanation:
This is a geometric sequence because any term divided by the previous term is a constant called the common ratio. r=36/18=18/9=2 A geometric sequence is expressed as
[tex]a_n=ar^{n-1},\text{ where a=initial term, r=common ratio, n=term number}\\ \\ a_n=9(2^{n-1})\\ \\ a_6=9(2^5)\\ \\ a_6=288[/tex]
The graph of the function f is shown. f(5) =
A)
-5
B)
-1
C)
0
D)
5
Answers
Answer:
The Answer Is C ) 0
Step-by-step explanation:
The number of paper clips per box in a truckload of boxes are normally distributed, with a mean of 100 and a standard deviation of 3.
a. The number of paper clips in 68% of the boxes is predicted to range from
b. The number of paper clips in 95% of the boxes is predicted to range from
to
to
Answers
Answer:
what's the answer somebody
Step-by-step explanation:
what is distance between C(−5,−2) and D(0,−4)
Answers
Answer:
[tex]\displaystyle d = \sqrt{29}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point C(-5, -2)
Point D(0, -4)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(0+5)^2+(-4+2)^2}[/tex][√Radical] (Parenthesis) Add: [tex]\displaystyle d = \sqrt{(5)^2+(-2)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25+4}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{29}[/tex]IREADY MATH LEVEL G
HELP ASAP DUE AT 11:59!!
Answers
Lin's sister has a checking account. If the account balance ever falls below zero, the bank charges her a fee of $5.95 per day. Today, the balance in Lin's sister's account is -$2.67. In 14 days, Lin's sister will be paid $430 and will deposit it into her checking account. If there are no other transactions besides this deposit and the daily fee, will Lin continue to be charged $5.95 each day after this deposit is made? Explain or show your reasoning.
Answers
Answer: No, the bank will not keep charging her the $5.95 after the deposit is made.
Step-by-step explanation:
Today, Lin's sister's balance is -$2.67
She gets charged $5.95 per day.
There are 14 days until she can charge some money in the bank account, so the bank will charge $5.92 14 times
So her balance after 14 days will be:
Balance = -$2.67 - $5.95*14 = -$85.97
When she charges the $430 in the account, her balance will be:
Balance = -$85.97 + $430 = $344.03
So now she has a positive balance, which means that the bank does not charge her anymore.
The coordinates of the endpoints of MP are
M(-3,-2) and P (2,3).
Which measurement is closest to the length of MP in
units?
Answers
Answer:
I'm pretty sure it is A
1a. Tell whether the angles are adjacent or vertical. *
1 point
O Adjacent
O Vertical
1b. Find the value of x.
1 point
You answer
Answers
Answer:
it is adjacent and the answer to 1b is 146
how much space is shown in the circle below
Answers
Answer:
there is no circle! maybe you forgot to attach it?
Note:
Please mark as Brainliest! <3
In 2008, there were 285 cell phone subscribers in the small town of Berrydale. The number of subscribers increased by 75% per year after 2008. How many cell phone subscribers were in Berrydale in 2017?
Answers
Answer:
Step-by-step explanation:
[tex]F=I(1.75^t)\\ \\ F=285(1.75)^{y-2008}\\ \\ F=285(1.75)^{2017-2008}\\ \\ F=285(1.75)^9\\ \\ F=43871.99\\ \\ F\approx 43872[/tex]
3/10 divided by 10/3 ??
Answers
Answer:
0.09 is the answer i helped
What is the solution to the equation?
Answers
Answer:
B
Step-by-step explanation:
98+g=150
98+g-98=150-98
g = 52
EZ: Find the Equation Using Two Points
(0,200) & (120,0)
Answers
Answer:
[tex]y = \frac{-5}{3}x+200[/tex]
Step-by-step explanation:
Find the value of the slope.
Find the value of the y-int.
good luck, i hope this helps :)
>
Find the next three values in the sequence,
-64,-32,-16,-8...
Answers
Answer:
-4, -2, -1
Hope that helps!
Step-by-step explanation:
Answer:
Step-by-step explanation:
geometric sequence with common ratio = 1/2
a₅ = a₄(1/2) = -4
a₆ = a₅(1/2) = -2
a₇ = a₆(1/2) = -1
Jaimie is practicing for the long jump. Each week she makes 10 jumps and after each jump she records the distance, in meters, she reaches with each jump. Her results for this week are represented in the table below. Jump 1 2 3 4 5 6 7 8 9 10 Distance (m) 5.1 5.3 5.4 5.2 5.5 5.4 5.2 5.3 5.5 3.5 Jaimie then reviews her results and determines the mean and standard deviation so that she can compare her results from this week to her results from the previous week. Jaimie felt the 10th jump was not reflective of her ability because she stumbled before making the jump and decided to remove the 10th jump from her data set. Determine whether each statement describes the change that will occur to the mean and standard deviation from this week's results when Jaimie removes the 10th jump from her data set. Select Yes or No for each statement. Yes No Removing the 10th jump from her data set will cause her average jump distance to increase. Removing the 10th jump from her data set will cause her average jump distance to decrease. The standard deviation will increase because the jump distances will be more spread out. The standard deviation will decrease because the jump distances will be more clustered together.
Answers
Answer:
mean=(5.1 +5.3+ 5.4 +5.2+ 5.5 +5.4+ 5.2 +5.3 +5.5+ 3.5)/10=51.4/10=5.14
whats -11 + x =19
i just dont know what we do can someone help me?
Answers
Nick is making bread dough. The recipe requires 3/4 cup of flour and 1 1/8 teaspoon of salt. Nick wants to make the recipe using 1 cup of flour. To maintain the ratio, how much salt is required when 1 cup of flour is used?
(explain)
Answers
The recipe requires 3/4 cup of flour and Nick wants to make the recipe using 1 cup of flour.
The recipe requires 1 1/8 teaspoon of salt and Nick wants to know how much salt he heeds.
Consider short description:
3/4 cup of flour - 1 cup of flour,
1 1/8 teaspoon of salt - x teaspoon of salt.
Mathematically, you can wrte a proportion:
3/4 divided by 1 1/8
then 3/4 times x = 1 time 1 1/8
3x/4 =9/8
24x = 36
X = 36/24 = 3/2 = 1 1/2
Answer:
x = 1 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
make equal equations first
[tex]\frac{3/4}{1 and 1/8}[/tex] = [tex]\frac{1}{x}[/tex]
cross multiply to get: 3/4x = 1 [tex]\frac{1}{8}[/tex]
divide by 3/4 on both sides: x = 1 [tex]\frac{1}{2}[/tex]
Andrew has a Frisbee™ with a radius of 10 cm. What is the approximate circumference of the
Frisbee"?
A.15.7 cm, because C = 57
B.31.4 cm, because C = 107
C.314 cm, because C = 100 7
D.62.8 cm, because C = 207
Answers
Answer:
The answer is D. 62.8
Step-by-step explanation:
I used this formula.
Circumference = 2πr
A small radio transmitter broadcasts in a 50 mile radius. If you drive along a straight line from a city 65 miles north of the transmitter to a second city 58 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?
Answers
Answer:
29% of the drive
Step-by-step explanation:
The plot of the problem is:
Transmitter at origin (0,0)
City to the north at (0,70)
City to the east at (74,0)
The path from city to city is a line with slope:
m = (-70)/74 = -35/37
and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.
The transmitter reach the area enclosed by the next circle:
x^2 + y^2 = 53^2
See the picture attached
The intersection is gotten from the picture or solving:
x^2 + [(-35/37)*x + 70]^2 = 53^2
the points approximately are: (24.1, 47.2) and (45.8, 26.7)
From Pythagorean theorem the total distance of the trip is:
d1 = √(70^2 + 74^2) ≈ 101.9 miles
And the distance when the signal is picked up is:
d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles
You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.