Tell wether the data in the table can be modeled by a linear equation. Explain.
If possible, write a linear equation that represents y as a function of x. If not possible, leave blank.
Answers
Answer:
yes
By dividing the difference between each two corresponding data values, we get a constant rate of change.
y = 0.2x + 1.2
Step-by-step explanation:
1. Find the rate of change between each pair of data values in the table and compare to see if they are equal:
(1.4-1.2)/(1-0) = 0.2/1 = 0.2
(1.6-1.4)/(2-1) = 0.2/1 = 0.2
(2-1.6)/(4-2) = 0.4/2 = 0.2
2. Substitute the numbers found in step 1 for m, and the y-value in the data pair (0,1.2) as b in the equation y = mx + b: y = 0.2x + 1.2
Related Questions
An item is regularly priced at $ 37 . It is now priced at a discount of 95% off the regular price.
Answers
The discounted price of the item is $1.85.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, An item is regularly priced at $37.
It is now priced at a discount of 95% off the regular price.
∴ The discounted price of the item is {(100 - 95)/100}×37.
= (5/100)×37.
= $1.85.
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Abner collects postcards that his friends
send him when they travel. He can put
6 cards on one scrapbook page. How
many pages does Abner need to fit
42 postcards? NEED ANSWER ASAP PLS ITS DUE ON “Dec 2 2022” AND TODAY IS “Dec 1 2022”
Answers
Answer:
I believe the answer is 7 pages for 6 postcards on each page
Step-by-step explanation:
I believe the correct answer is 7 pages because
7×6=42
7 pages, 6 cards, and 42 postcards
So for Abner to scrapbook 42 cards for every 6:1 pages he will need 7 pages.
What is 9/14 closer to 0, 1, or 1/2?
Answers
Answer = 1/2
9/14 = 0.64
The goal is to get to 14/14 to get to a whole 1.
A half of 14 is 7 so the half would be 7/14
9/14 is 5 less than getting to the whole and is 2 more from being a half
Therefore it’s closer to 1/2
The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $4400, which was to be divided equally among the members going. Prior to the trip, 15 members decided not to go. If the cost per person increased by $66, how many people went on the expedition?
Answers
25 persons went on the expedition as the total cost was $4400.
What is a quadratic equation?A quadratic equation in algebra is any equation that can be written in standard form as where x stands for an unknown value and a, b, and c are known quantities. The assumption is that a > 0; equations with a = 0 are thought to be degenerate because they become linear or even simpler.
x denotes number of people
y denotes cost per person
Total cost =$4400
y = 4400 / x
15 members made the decision not to travel before the trip. The price per person went up by $66.
y +66 =4400 / (x -15)
(y +66) (x -15) = 4400
(4400/x +66)(x -15) = 4400
4400 -66000/x +66x -990 =4400
- 66000/x +66x=990
(- 66000 + 66x²) =990x
66x² - 990x - 66000 =0
x²-15x-1000=0
x =40 and x =-25 are the results of applying the quadratic formula to this quadratic equation. There is only sense in the positive x.
x- 15 =40-15=25 persons participated in the mission.
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How does
modifying the input or the output of a linear e
function rule transform its graph?
Answers
Answer:
Step-by-step explanation:
Adding a constant k to the output of a linear function translates the graph vertically by k units. If k < 0 k<0 k<0, then the translation is downwards and if k > 0 k>0 k>0. Adding a constant k to the input of the function translates the graph horizontally by k k k units.
What change should Jazmin make in sentence 11?
Answers
NEED ANSWERS ASAP!! PLEASE HURRY I HAVE 20 MINUTES!!
Answers
Answer:
a. -6
b. 11.3
Step-by-step explanation:
Answer: a. -6 b. 11.3
Step-by-step explanation:
[tex]\displaystyle\\a.\\2((-3)^2+\frac{3}{2})+(-3)^3=\\\\2(9+1.5)+(-27)=\\\\2(10.5)-27=\\\\21-27=\\\\-6\\\\b.\\(-4)^2+\frac{15.7-3(2.1)}{-2} =\\16+\frac{15.7-6.3}{-2} =\\\\16+\frac{9.4}{-2} =\\\\16+(-4.7)=\\\\16-4.7=\\\\11.3[/tex]
"The question is on a test I have to do today! pls help me!
10. Which situation can be modeled by the equation y=m x+b ?
A. The number of butterflies (y) in a population doubles every month (x).
B. The time (y) it takes a car to travel 100 miles depends on the speed (x) of the car.
C. The volume (y) of a cylindrical tank with a height of 2 feet depends on the radius (x) of the tank.
D. The total income (y) of a worker who earns 8 dollars per hour depends on the number of hours (x) worked."
Answers
The situation that can be modeled by the linear function y = mx + b is given as follows:
D. The total income (y) of a worker who earns 8 dollars per hour depends on the number of hours (x) worked.
Which situations can be modeled by linear functions?Situations that can be modeled by linear functions are situations in which there is a constant change per unit interval.
The example in this problem is given by option D, as for each hour worked, the rate of change is given as follows:
8 dollars.
That is, for each hour worked, the total income of the worker increases by $8, hence the slope is of:
m = 8.
Then the intercept b represents the flat pay of the worker, which is how much the worker earns no matter the amount sold.
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Jeremy has $15.20. He wants to give the money to 4 charities. If he gives the same amount to each charity, how much will each charity receive?
Answers
solve sin(2x)cos(6x) - cos(2x)sin(6x) = - 0.8 for the smallest positive solution
Answers
The smallest positive solution is 13.28⁰.
What is trigonometry?Trigonometry is a discipline of mathematics dealing with particular angle functions and their application to computations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names.
Given,
sin (2x)cos(6x) - cos(2x)sin(6x) = - 0.8
Let, assume 2x = A and 6X= B
As we know, sin (A-B) = sin A cos B - cos A sin B
Putting the value of 2x and 6x in the given equation, we get
or, sin A cos B - cos A sin B = -0.8
or, sin (A-B) = -0.8
or, sin (2x-6x) = - 0.8
or, sin (-4x) = - 0.8
or, - sin 4x = - 0.8
or, sin 4x = 0.8
Apply sin on both side we get,
or, sin⁻¹ (sin 4x) = sin⁻¹ (0.8)
or, 4x = 53.13
or, x = 13.28⁰
The smallest positive solution is 13.28⁰.
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Which property will help to find these sums?
57/80+21/80 and 21/80+57/80
the Associative Property
the Commutative Property
the Identity Property
Answers
Answer:
Associative Property
Step-by-step explanation:
Associative Property is the ability to change the order of an equation, and get the same result.
For example:
(1 + 2) + 3 = 6
If you were to take this equation, and this equation:
3 + 2 + 1 = 6
These numbers are in a different order, but the answer is the same!
It goes the same way for your problem.
57/80 + 21/80 and 21/80 + 57/80.
Therefore, the property to help you would be Associative Property.
Define a variable and write an equation for each real-world problem. (Examples 1-4) 1. The Marriott Rivercenter in San Antonio, Texas has a main roof height of 441 feet. With the additional height of antennas, the structure is 546 feet tall. What is the height of the antennas?
Answers
The height of antennas added to the main roof of the Marriott Rivercenter in San Antonio is 105 feet.
Explain the term variable of the equation?A symbol (often a letter) used in mathematics to represent an unknowable numerical value in an expression or algebraic statement. A variable can be defined as a quantity that is changeable and not fixed. Variables are crucial since they make up a significant portion of algebra.For the stated question-
Height of the main roof of Texas = 441 feet.
Height along with additional height of antennas = 546 feet.
Then,
Height of antennas = Total height - height of main roof.
Height of antennas = 546 feet - 441 feet
Height of antennas = 105 feet.
Thus, the height of the antennas added to the main roof of the Marriott Rivercenter in San Antonio is 105 feet.
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Solve. −6 1/4x=−3 1/8 What is the solution to the equation? Enter your answer as a simplified fraction in the box.
solve for x NEED ANSWER NOW PLSSSSSSSSSSSSSSS HEEEEEEEEEELPP
Answers
The given equation, -6 1/4x = -3 1/8, solved for is x = 1/2
Solving Linear EquationsFrom the question, we are to solve the given linear equation.
The given linear equation is
-6 1/4x = -3 1/8
To solve the equation,
First, we will convert the fractions to improper fractions
-6 1/4x = -3 1/8
-25/4x = -25/8
Multiply both sides of the equation by -4/25
-4/25 × -25/4x = -4/25 × -25/8
x = 1/2
Hence, the value of x is x = 1/2
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21. Select the code that should come next in the sequence below.
the sequence question F2, E4, D8, C16
the answer choose the correct answer carefully
A. B24
B. A24
C. B28
D.B32
Answers
Answer:
Step-by-step explanation:
F,E,D,C,B
2,4,8,16,32
B32
PLEASE HELP ASAP. DUE IN A FEW MINS
Answers
5(k + 2)
(5 * k) + (5 * 2)
= 5k + 10
______________________________
8(4 - 1.2h)
(8 * 4) - (8 * 1.2h)
= 32 - 9.6h
______________________________
3(1 - 7m)
(3 * 1) - (3 * 7m)
= 3 - 21m
______________________________
(b + 9)(6)
(6 * b) + (6 * 9)
= 6b + 54
How do you solve #18?
Find the value of X.
Answers
Answer:
x = 3
Step-by-step explanation:
Notice the markings in the lower two angles of the triangle. We are dealing with Angle Bisectors.
Angle Bisectors of a triangle intersect at the Incenter, which is Equidistant from the sides of the triangle (given by the perpendicular symbols).
Therefore, 2x = x+3 => x = 3
Write out a paragraph explaining how to solve: 2x - 4 = 20
Answers
Answer: x=12
Step-by-step explanation:
first you add 4 to both side to make it 2x=24 then you divide both side by 2 to get 12 so x=12.
Answer:
Step-by-step explanation:
Firstly you want to get x alone on one side of the equation. So to do that you move 4 to the other side of the equation. When a number crosses the equal sign, the sign (+/-) switches. Hence 2x - 4 = 20 becomes 2x = 20 +4. Which gives you 2x = 24. Now you can solve for x.
2x is really 2 multiplied by x. The opposite of multiplication is division so to get rid of the 2 and get x alone on one side, you divide 24 by 2.
So the equation becomes x = 24/2 (24 divided by 2)
This gives you x = 12.
I hope this helped.
F and H are sets of real numbers defined as follows.
F = { v l v < 4}
H = { v l v ≥ 7}
Write F ∩ H and F ∩ H using interval notation. If the set is empty, write ∅.
Answers
The final interval notation is F ∩ H = [7, 4] & F ∪ H = [-∞, ∞].
What is the interval notation?
A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1.
We have,
F and H are sets of real numbers defined as follows.
F = { v l v < 4}
H = { v l v ≥ 7}
F is the set of all real numbers that are less than or equal to 4. H is the set of real numbers greater than 7.
F U H is the union (or combination) of the two sets, so it is the set of all real numbers that are less than equal to 3 or greater than 6:
F ∩ H is the set of real numbers that are in both sets; but since F is less than or equal to 4 and H is greater than 7, there are no numbers that are in both sets. Hence the answer is the empty set, Ø:
F ∩ H = Ø
F ∩ H = [7, 4]
F ∪ H = [-∞, ∞]
Hence, the final interval notation is F ∩ H = [7, 4] & F ∪ H = [-∞, ∞].
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i need helpp please tell me what is the perimeter of the rectangle, in units, if b= 2 1/2??
Answers
1.The perimeter of a rectangle is found by adding up the length of all four sides. Since the two long sides are 12 cm, and the two shorter sides are 7 cm the perimeter can be found by:
The perimeter is 38 cm.
2.To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.
hope this helps
During WW! mortars were fired from trenches 3 feet down The mortars had a velocity of 150 ft/s. Determine how long it will take for the mortar shell to strike its target?
Answers
The mortar shell will strike the target in 0.02 seconds
How to find the durationThe duration to strike the target is solved using the formula for velocity which is
= distance / time
The problem gives the distance to be 3 feet and velocity is 150ft/s
therefore
150 = 3 / time
time = 3 / 150
time = 0.02 seconds
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A vending machine has a total of 41 chocolate bars and bags of pretzels The number of chocolate bars is one less than twice the number of bags of pretzels. How many chocolate bars are in the vending machine?
Answers
The number of chocolate bars that are in the vending machine are; 27 bars
How to solve algebra word problems?We are told that the total number of chocolate bars and bags of pretzels in the vending machine is 41.
Let the number of bags of pretzels be x.
Now, we are told that number of chocolate bars is one less than twice the number of bags of pretzels. Thus;
Number of chocolate bars = 2x - 1
Thus, we can develop the algebraic expression as;
x + 2x - 1 = 41
3x - 1 = 41
3x = 42
x = 42/3
x = 14
Number of chocolate bars = 2(14) - 1 = 27 bars
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Given a bag of 20 m&m's with 5 red, 4 blue, 2 green, 4 brown and rest are yellow. What is the probability of pulling a green one and then, without replacing it, pulling a blue? Answer in decimal form
Answers
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
The probability of pulling a green one and then, without replacing it, pulling a blue one is 0.021.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Total number of balls = 20
Red = 5
Blue = 4
Green = 2
Brown = 4
Yellow = 5
The probability of pulling a green one.
= 2/20
= 1/10
Number of balls remaining = 20 - 1 = 19
The probability of pulling a blue without replacing the first green one.
= Number of blue balls / Total number of remaining balls
= 4/19
Now,
The probability of pulling a green one and then, without replacing it, pulling a blue one.
= 1/10 x 4/19
= 4/190
= 2/95
= 0.021
Thus,
The probability of pulling a green one and then, without replacing it, pulling a blue one is 0.021.
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write a mixed number and a fraction greater than 1 for each point on the number line
Answers
Answer:
Step-by-step explanation:
cone a is 10 centimeters high and its base has a diameter of 4 centimeters. Cone B is twice as tall with a hight of 20 centimeters and a diameter of 4 centimeters. Cone C is the same height as cone A, 10 centimeters, but the diameter of its base is 8 centimeters. Which cone has the greatest volume?
Answers
The cone that has the greatest volume is cone C
How to determine the cone that has the greatest volume?The given parameters in the question are
Cone A
Height = 10 cm
Diameter = 4 cm
Cone B
Height = 20 cm
Diameter = 4 cm
Cone C
Height = 10 cm
Diameter = 8 cm
The volume of a cone can be calculated using the following volume equation
Volume of a cone = 1/3π(d/2)²h
Where
h = height of the cone
r = radius of the cone
d = diameter of the cone
Using the above equations, we have the following computations
Volume of a cone A = 1/3π * (4/2)² * 10
Volume of a cone A = 40/3π
Volume of a cone B = 1/3π * (4/2)² * 20
Volume of a cone B = 80/3π
Volume of a cone C = 1/3π * (8/2)² * 10
Volume of a cone C = 160/3π
We can see that 160/3π is greater than 40/3π and 80/3π
Hence, cone C has the highest volume
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In exercises 11-14, solve the system of nonlinear equations using the graph.
Answers
Answer:
No solution------------------------------
We see two graphs on the opposite sides of the x-axis.
There is no intersection, so no common points. It means there is no solution.
PLEASE ANSWER QUICK
The slopes of a quadrilateral are 2/5, 5/4, 5/4, and 2/5. What conclusion about this shape can be made?
A. The quadrilateral is a trapezoid, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.
B. The quadrilateral is a parallelogram, because there is one pair of equal slopes, and thus one pair of parallel opposite sides.
C. The quadrilateral is a trapezoid, because there is one pair of equal slopes, and thus one pair of parallel opposite sides.
D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.
Answers
Based on the definition of parallelogram, the conclusion about the quadrilateral is that: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.
What are the Properties of a Parallelogram?If a quadrilateral is a parallelogram, the two pairs of opposite sides will be parallel to each other.
If two sides of a shape have the same slopes, it then means the shape is a parallelogram.
The quadrilateral that is given is said to have the following:
Two equal slopes of 5/4 and 5/4; and 2/5 and 2/5, this means the sides that have the same slope values are opposite to each other.
Since they are opposite to each other and they have the same slope, therefore, the conclusion about the described shape is: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.
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What’s the answer for this question
Answers
Answer: uf
Step-by-step explanation:
4) Expand and simplify
5(x-3) - 3 (x + 5)
Answers
Answer:
2x-30
Step-by-step explanation:
5(x-3) = 5x-15
-3(x+5) -3x-15
(5x-15) + (-3x-15) = 2x-30
PLEASE TELL ME WHERE TO PUT IT AND IF IT SHOULD BE FILLED IN OR NOT
Answers
Answer:
Step-by-step explanation:
5x≥15
/5. /5
x≥3
On the number line we put a filled dot since it is both equal to and greater then at 3 and make it point to the right since it is greater it has to go up
Hopes this helps please mark brainliest
Answer:
Choose the bottom right ray and put it at 3.
Step-by-step explanation:
Brainliest, please!When Hudson runs the 400 meter dash, his finishing times are normally distributed with a mean on 70 seconds and a standard deviation of 2 seconds. If Hudson were to run 22 practice trials of the 400 meter dash, how many of those trials would be between 71 and 73 seconds, to the nearest whole number?
Answers
The required number of trials is between 71 and 73 second is 5 trials.
Given that,
Hudson runs the 400-meter dash, his finishing times are normally distributed with a mean of 70 seconds and a standard deviation of 2 seconds. If Hudson were to run 22 practice trials of the 400-meter dash,
Probability can be defined as the ratio of favorable outcomes to the total number of events.
here,
let x be the time,
According to the question,
z = x - 70 / 2 then Z ≈ N(0, 1)
71 < x < 73
71 - 70 / 2 < z < 73 - 70 / 2
1 / 2 < Z < 3/2
P[1/2 < Z < 3/2] = 0.9332- 0.691
= 0.2417
Now,
Required trials = 22 [0.2417] = 5.3174
Thus, the required number of trials is between 71 and 73 second is 5 trials.
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