Which of these ordered pairs is a solution to the linear inequality y > 3x + 2?
(–1, –5)
(–2, –7)
(2, 8)
(2, 9)
Answers
The ordered pairs that is a solution to the linear inequality y > 3x + 2 is
(2, 9)
How to find solution of inequality?The inequality is as follows;
y > 3x + 2
Therefore, let's try option 1
(-1, -5)
-5 > 3(-1) + 2
-5 > -3 + 2
-5 > - 1 (This is false)
(–2, –7)
-7 > 3(-2) + 2
-7 > -6 + 2
-7 > -4 (This is false)
(2, 8)
8 > 3(2) + 2
8 > 6 + 2
8 > 8 (false)
(2, 9)
9 > 3(2) + 2
9 > 8 (This true)
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Related Questions
Identify the slope in line intercept for Y= 3 x +5
Answers
Answer:
The slope is 3
Step-by-step explanation:
y = mx + b The slope is the m. It is the number before the letter x.
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
Answers
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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1. In the number 123,546,870, which digit
is in the hundred thousands place?
Answers
Answer:
5
Step-by-step explanation:
Joey recorded his heart rate in beats per minute (bpm) after doing different numbers of jumping jacks His results are shown in the table below
Answers
The linear regression equation that estimates the heart rate per number of jumping jacks is: y=1.72x + 69.4; the correlation coefficient of the linear regression equation is 0.97.
Linear regression equation and correlation coefficienta. Linear regression equation:
We would make used of graphing calculator in order to determine the linear regression equation by plugging the below given data and then click on stats so as to perform a linear regression.
Given table:
(x, y), (0, 68), (10, 84), (15, 104), (20, 100), (30, 120)
Hence:
a = 1.72
b = 69.4
Equation
y = ax + b
y = 1.72x + 69.4
b. Correlation coefficient :
Correlation coefficient = 0.967
Correlation coefficient=0.97 (nearest hundredth)
Analysis:
The above correlation coefficient shows a strong positive correlation between the number of jumping jacks and the heart rate.
Therefore the linear regression equation that estimates the heart rate per number of jumping jacks is: y=1.72x + 69.4; the correlation coefficient of the linear regression equation is 0.97.
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Kelsey gave the cashier $30 to pay for 4 pounds of steak. The cashier gave her $3.12 in change. Each pound of steak cost the same amount. What is the cost in dollars and cents for each pound of steak? A. $26.88 A. , $26.88, , , , , , B. $6.72 B. , $6.72, , , , , , C. $7.50 C. $7.50, D. $8.28
Answers
Answer:
B
Step-by-step explanation:
30-3.12=26.88 divide that by 4 and you get 6.72
Answer:
The Answer is B, $6.72
Step-by-step explanation:
30-3.12= 26.88
26.88÷ 4= 6.72
6) 1,1,3,8,19, 41
a) 60
b) 81
c) 90
d) 101
Analogias
Answers
The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.
To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:
1 1 3 8 19 41
0 2 5 11 22
Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.
Let's check if the differences between consecutive terms are square numbers:
2 = 1²
5 = 2² + 1²
11 = 3² + 2²
22 = 4² + 3²
Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:
41 + 57 = 98
Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.
Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.
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a certain bike travels 135 feet in 20 rotations of its wheels. how far will the bike travel in 45 rotations
Answers
Answer:
303.75
Step-by-step explanation:
135/20=6.75
6.75•45= 303.75
Write the equation of a line that is perpendicular to y=1/2x-6 that passes through the point (6,4)
Answers
Answer:
y=-2x
Step-by-step explanation:
Hope this helps! :)
Arrange the steps in order to simplify the expression
Answers
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
solve using the standard algorithm. check your quotient and remainder and by using multiplication and addition 93÷7
Answers
In the standard algorithm
Reminder = 2
quotient = 13
What does quotient in mathematics mean?
The number being divided is known as the dividend, in this case, 15. The number being divided is known as the divisor (in this case, 3). The remainder following division is the quotient.
When we divide two integers, the result is a quantity known as the quotient. As an example, since the division resulted in the number 2, the quotient in the equation 8 4 = 2 is 2.
= 93÷7
Reminder = 2
quotient = 13
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The pH scale measures how acidic or basic a substance is. Normal drinking water needs to have a pH of less than 8.5 and greater than 6.5. Model the normal range of pH values of water, using a compound inequality.
6.5 < x < 8.5
6.5 ≤ x ≤ 8.5
6.5 ≥ x ≥ 8.5
Answers
Answer:
The compound inequality which is used to model the normal rage of pH values of water is:
x>6.5 and x<8.5 (6.5<x<8.5)
Step-by-step explanation:
It is given that:
Normal drinking water needs to have a pH of less than 8.5 and greater than 6.5.
This means that the pH level of the water will lie in the range in between 6.5 and 8.5 excluding them.
Hence, if the pH level is less than or equal to 6.5 or greater than or equal to 8.5 then it could not be used for drinking purpose.
If x represent the pH of the normal drinking water then:
6.5 < x < 8.5
i.e. x>6.5 and x<8.5
WILL GIVE BRAINLIEST
Answers
Answer:
C) 2x10²
Step-by-step explanation:
1400000/7000=
1400/7=
200=
2x10²
which is a correct way to check that 4,358 divided by 7 is 622 remainder 4
Answers
Answer:
Ok, check your work one way is:
622x7 Then add 4 and you can see if its correct
622x7 = 4354
Now add 4.
4358. So it's correct.
Equation (622x7)+4= 4358
Omar is going to eat a round lollipop that has a radius of 3 inches. What is the lollipop's
diameter?
Answers
Answer:
6
Step-by-step explanation:
radius is 1/2 the diamiter
Answer:
Step-by-step explanation:
Answer: 6 inches.
Explanation:
Since the radius is 3 inches, the diameter will be twice the size of the radius. The radius is half the width of a circular object. The diameter is the full width. Therefore Omar's lollipop has a diameter of 6 inches.
Can somebody help me?
Square ABCD is graphed in the xy- plane with origin O. A transformation maps ABCD onto A'B'C'D'.
Which statements must be true?
Select all that apply.
Answers
All the statements are true since all the transformation mentioned are rigid transformations
What is rigid transformation and types of transformation that are rigid?A rigid transformation is a transformation in the plane or in space that preserves the shape and size of the figure being transformed.
In other words, a rigid transformation is a transformation that does not change the lengths of segments, the measures of angles, or the area of the figure.
The types of transformations that are rigid are:
TranslationRotationReflectionLearn more about transformation at:
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Which fraction is equivalent to 4 over negative 9 ?
Answers
Answer:
-4 over 9
Step-by-step explanation:
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Answer:
-4/9
Step-by-step explanation:
Sphenathi stated that the distance from Bloemfontein to upington is 16.3 show all calculations whether his claim is correct
Answers
The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.
To determine the distance between Bloemfontein and Upington, we used the Haversine formula, which computes the shortest distance between two points on the surface of a sphere. We first begin by finding the latitude and longitude of the two cities.Bloemfontein is located at -29.1211° latitude and 26.2140° longitude.Upington is located at -28.4478° latitude and 21.2561° longitude.Using the Haversine formula, we can determine that the distance between the two cities is about 582 kilometers.Sphenathi's statement that the distance from Bloemfontein to Upington is 16.3 kilometers is incorrect. Perhaps they mistakenly calculated the distance between two points within the cities. They could also have made a typographical mistake while writing their statement. Therefore, the statement is false, and the actual distance between Bloemfontein and Upington is 582 kilometers.For such more question on longitude
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Graph the line
Y=-2/3x+2
Answers
Answer: x = 3, y = 2
Step-by-step explanation:
The line should pass through x = 3 and y = 2. Just like in the picture. I used a graphing app.
find the lettered angles in the figure below (O is the centre of each circle)
Answers
Answer:
t and u are supplementary as opposite angles of a cyclic quadrilateral.
t = 180 - (81 + 53) = 46
u = 180 - t = 180 - 46 = 134
v and w are equal as opposite angles to equal sides.
v = w = 1/2(180 - u) = 1/2(180 - 134) = 23
Step-by-step explanation:
When families play “fill and dump” activities and explore large and small objects with the children, they extend learning in the
Number and Quantity strand.
Measurement and Comparison strand.
Geometry and Spatial Thinking strand.
Mathematical Reasoning strand.
Submit
Answers
The correct option is the Measurement and Comparison strand.
When families play "fill and dump" activities and explore large and small objects with children, they are likely extending learning in the Measurement and Comparison strand of the mathematics curriculum. This strand involves understanding and using concepts of size, weight, capacity, and length to compare, measure, and describe objects and events. Activities like filling and dumping containers of different sizes and comparing the quantities of objects can help children develop their understanding of these concepts and their ability to compare and measure objects.
The Number and Quantity strand involves understanding and using numbers and number concepts to count, compare, and describe quantities. The Geometry and Spatial Thinking strand involves understanding and using geometric concepts and spatial reasoning to describe, analyze, and compare shapes and spatial relationships. The Mathematical Reasoning strand involves using logical thinking and problem-solving skills to make sense of mathematical ideas and solve problems. All of these strands are important for children's overall mathematical development and can be supported through a variety of activities and experiences.
John manages 27 apple orchards in North Georgia. He wants to split the orchards into thirds so that he can open 3 local stores.
Which expression shows the amount of orchards each store will represent?
O 27 x 1/3
O 27/(1/3)
O 27x3
O 27-(1/3)
Answers
Answer: 27 x 1/3
Step-by-step explanation: 27/1 x 1/3 = 9 orchards per store
The number of orchards in each store will be 27 x (1/3). Then the correct option is A.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
John manages 27 apple orchards in North Georgia. He wants to split the orchards into thirds so that he can open 3 local stores.
Then the number of orchards in each store will be
⇒ 27 / 3
Then the expression can be written as,
⇒ 27 x (1/3)
The number of orchards in each store will be 27 x (1/3). Then the correct option is A.
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Avery and Bailey are reviewing equations of parabolas for their upcoming math test. They disagree on what the equation would look like for a parabola with a vertex at (4, -3) a. Help them write an equation for a parabola that opens upward from its vertex at (4, -3). What is the equation of its line of symmetry?b. Zane wants the same parabola to open down and Liz wants it to be stretched vertically. Show them how to change your original equation to meet both of their desires. Does the line of symmetry change? c. Move your parabola from part (b) 4 units to the right and 2 units down and compress it vertically. What is the equation of the parabola? What is the equation of its line of symmetry?
Answers
1) Since the vertex is at (4,-3) then the line of symmetry is a vertical line that intercepts and divides the parabola in the "middle"
It's given by the x-coordinate of that Vertex
a) Then the equation of its line of symmetry is going to be
x=4
b) Taking y=x² as our parent function.
Zane will need to multiply the y=x² by -1 to get y=-x²
Since Liz wants to stretch that She needs to increase the coefficient of a by multiplying it by 2, 3, etc.. to get for example y=2x², y=3x², and so on
c) To move the parabola 4 units to the right we need to subtract four units.
y=x²-4
And then, finally 2 units down
y=(x-4)²-2 The equation of the parabola
The equation of the line of symmetry is given by -b/2a the X-coordinate at the vertex
Xv= 8/2= 4
So x=4 Equation of the line of symmetry
What is the constant of proportionality in the equation y=5/4x
Answers
The constant of proportionality in the equation is 5/4
What is constant of proportionality?The constant connecting two given numbers in what is known in a proportional relationship is the constant of proportionality.
The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
In the problem, y = 5/4x
The constant term 5/4 as used in the equation is used t multiply the input x values to get the out put y values
The term helps in relating x to y
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what is the missing term
13, ?, 208
Answers
Answer:
159???????
Step-by-step explanation:
Question 6(Multiple Choice Worth 5 points)
(Reflections MC)
Triangle NMO has vertices at N(−5, 2), M(−2, 1), and O(−3 , 3). Determine the vertices of image N′M′O′ if the preimage is reflected over y = −2.
N′(−3, 2), M′(0, 1), O′(−5, 3)
N′(−5, 0), M′(−2, −1), O′(−3, 1)
N′(−5, 1), M′(−2, 0), O′(−3, 2)
N′(−5, −6), M′(−2, −5), O′(−3, −7)
Please Fast only have 10 minutes.
Answers
The image coordinates of NMO after the translation is option d: N′(−5, −6), M′(−2, −5), and O′(−3, −7).
What is the image coordinates?To get the image coordinates of the preimage translated -2 units to the left, we simply subtract -2 from the y-coordinates of each vertex:
N' = (Nx - (-2), Ny) = (−5 , 2- (-2)) = (−5, 4)
M' = (Mx - (-2), My) = (−2 , 1 - (-2)) = (−2, 3)
O' = (Ox - (-2), Oy) = (−3 , 3- (-2)) = (−3, 5)
Therefore, based on the above, the image coordinates of NMO after the translation are N′(−5, 4), M′(-2,3 ), O′(−3, 5)
So the reflected vertices are:
The distance from N to the line y = -2 is 4, and -6 - (-2) = -4, so one need to move down 4 units to have a y-coordinate of -6.
The distance from M to the line y = -2 is 3, and -5 - (-2) = -3, so one need to move down 3 units to have a y-coordinate of -5.
The distance from O to the line y = -2 is 5, and -7 - (-2) = -5, so one need to move down 5 units to have a y-coordinate of -7.
So it will be: N′ (−5, −6), M′(−2, −5), O′(−3, −7)
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Answer:
D) N′(−5, −6), M′(−2, −5), O′(−3, −7)---------------------
Given triangle MNO with vertices:
N = (-5, 2), M = (-2, 1) and O = (-3, 3)It is reflected in line y = - 2.
This reflection doesn't affect the x-coordinates of the vertices and the y-coordinates change.
Since y = - 2 is the line of symmetry, it also represents midpoints of the segments formed by corresponding endpoints of image and preimage.
Using midpoint equation, find the y-coordinates.
Point N'(2 + y)/2 = - 2 ⇒ 2 + y = - 4 ⇒ y = - 6Point M'(1 + y)/2 = - 2 ⇒ 1 + y = - 4 ⇒ y = - 5Point O'(3 + y)/2 = - 2 ⇒ 3 + y = - 4 ⇒ y = - 7So the coordinates of the image are:
N′(−5, −6), M′(−2, −5), O′(−3, −7)This is matching the option D.
See attached for visual representation of the problem.
two pounds of flour cost 1.20 .How much flour do you get per dollar?
Answers
1.67 pounds flour we get per dollar.
What does pounds mean in weight?Pound, avoirdupois weight unit equivalent to 16 ounces, 7,000 grains, or 0.45359237 kg, and troy and apothecaries' weight unit equal to 12 ounces, 5,760 grains, or 0.3732417216 kg The symbol lb comes from the Roman predecessor of the contemporary pound, the libra.
Given,
Cost for 2 pounds of flour = $ 1.20
Cost per pound of flour = $ 1.20 /2
= $ 0.20
Now for 2 dollar we get flour = 2 pounds.
for 1 dollar we will get flour = 2/1.20 pounds
= 1.6666 pounds
i.e. for 1 dollar we will get flour = 1.67 pounds.
So, 1.67 pounds flour we get per dollar.
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what is the value of x?
Answers
X = 30 degrees.
See the attached image
Activity Solve the equation
of the variables you find in ea
following equations.
a
1. Solve for a: 3a = -4.2
Answers
Answer:
a= -1.4
Step-by-step explanation:
Answer:
-1.4
Step-by-step explanation:
I have a final on this pls help number 7
Answers
We will have the following:
a. We can see that the angle opposite to x is 45° and the angle opposite to 10 is also 45°; from theorems [Congruent angles that oppose sides in a triangle have that those sides are also congruent]; so:
x = 10.
Now, we determine y using the law of sines:
\(\frac{y}{sin(90)}=\frac{10}{sin(45)}\Rightarrow y=10\sqrt{2}\)Now, we determine the height of the triangle:
\(\begin{gathered} 10^2=(5\sqrt{2})^2+h^2\Rightarrow h^2=100-50 \\ \\ \Rightarrow h=5\sqrt{2} \end{gathered}\)So, the perimeter is:
\(P=10+10+10\sqrt{2}\Rightarrow P=20+10\sqrt{2}\)The area is:
\(A=\frac{(10\sqrt{2})(5\sqrt{2})}{2}\Rightarrow A=50\)b. Same as in the previous triangle we will determine x and y:
x = 15
\(\frac{y}{sin(60)}=\frac{15}{sin(60)}\Rightarrow y=15\)Now, we determine the height of the triangle:
\(h=\sqrt{(15)^2-(\frac{15}{2})^2}\Rightarrow h=\frac{15\sqrt{3}}{2}\)So, the perimeter is:
\(P=15+15+15\Rightarrow P=45\)The area is:
\(A=\frac{(15)(\frac{15\sqrt{3}}{2})}{2}\Rightarrow A=\frac{225\sqrt{3}}{4}\)Tennis balls with a diameter of 2.6 inches are sold in cans of three.
The can is a cylinder. What is the volume of the space NOT occupied
by the tennis balls? (Assume the tennis balls touch the can on all
sides, top and bottom.) Round to the nearest tenth and show all steps
and reasoning.
How can you tell if a formula represents Length, an Area, or Volume? What do you look for in
the formula?
Explain how you could get a formula for the volume of the
16 cm
solid.
Find the diagonal of the box, AD, using the Pythagorean
Theorem twice - 1. To find BD and 2. To find AD.
AB = 12 in
BC= 18 in
CD = 4 in
Show all steps for findin the diagonal of the box above using the formula instead of the
Pythagorean Theorem twice.
0
9
Diagonal of a box of
dimensions a, b, c
a2 + b2+c2 = d2
Answers
The volume of the solid is combined of a cone, cylinder, and hemisphere is
329.7 cubic cm.
What are the formulas for the volume of a cone, cylinder, and half of a sphere?The volume of a cone is (1/3)πr²h.
The volume of a cylinder is πr²h.
The volume of half a sphere or a hemisphere is (1/3)πr³.
The given figure has a volume combined of a cone, cylinder, and hemisphere.
∴ The volume of the solid is = (1/3)π(3)²×5 + π(3)²×(8) + (2/3)π(3)³ cubic cm.
= (47.1 + 226.08 + 56.52) cubic cm.
= 329.7 cubic cm.
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