Answers
Table one represents a linear function for the given data.
What is a linear function?A linear function is a mathematical function that can be written in the form:
y = mx + b
where "m" and "b" are constants, and "x" and "y" are variables.
In this form, "m" represents the slope of the line, and "b" represents the y-intercept, the point where the line crosses the y-axis. The slope of the line is the rate of change of the function, representing how much the value of "y" changes for every unit change in "x".
The given table is,
x y
1 5
2 10
3 15
4 20
5 25
The slope of the given data is,
m = ( 10 - 5 ) / ( 2 - 1 ) = 5
m = ( 15 - 10 ) / ( 3 - 2 ) = 5
m = ( 20 - 15 ) / ( 4 - 3 ) = 5
Here the slope is constant, so the function is linear.
To know more about linear functions follow
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Related Questions
What is the slope of the line connecting the pair of points (0,7) (4,12)
Answers
Answer: 5/4
Step-by-step explanation: That should be right because I have big brain. Mark brainlist please :)
If x + y ≥ a, x - y ≤ -1, and the minimum value of z = x + ay = 7, what is a?
Answers
Answer:
A = -2.3
Step-by-step explanation:
Aerin's friend Fritz gives her a riddle to solve about the ages of the people in his family. There are 5 people in Fritz's family: Mom, Dad, his sisters Adele and Erika, and Fritz. Here are the clues to the puzzle. 1) Mom is 8 years younger than Dad. 2) Dad is 2 times as old as Fritz. 3) Adele is 4 years old. 4) Fritz's age plus Adele's age equals Erika's age. 5) Mom was 24 when Erika was born. 6) In 9 years, Mom will be twice as old as Erika will be. All the ages are whole numbers. Aerin decides to use variable for the unknown ages and write equations to express the information. M
Answers
Answer:
Dad = 47, Mom = 39, Fritz = 11, Erika = 15 and Adele = 4
Step-by-step explanation:
Let M = Mom's age, D = Dad's age, F = Fritz's age, A = Adele's age and E = Erika's age.
Given that
1) Mom is 8 years younger than Dad, we have D = M + 8 (1)
2) Dad is 2 times as old as Fritz. D = 2F (2)
3) Adele is 4 years old. A = 4 (3)
4) Fritz's age plus Adele's age equals Erika's age. F + A = E (4)
5) Mom was 24 when Erika was born. M = E + 24 (5)
6) In 9 years, Mom will be twice as old as Erika will be. M + 9 = 2(E + 9) (6)
Substituting (5) into (6), we have
E + 24 + 9 = 2(E + 9)
E + 33 = 2E + 18
subtracting E from both sides, we have
2E - E + 18 = 33 + E - E
E + 18 = 33
subtracting 18 from both sides, we have
E + 18 - 18 = 33 - 18
E = 15
M = 15 + 24 = 15 + 24 = 39
From (4) F = E - A = 15 - 4 = 11
From (1) D = M + 8 = 39 + 8 = 47
So, their ages are Dad = 47, Mom = 39, Fritz = 11, Erika = 15 and Adele = 4
PLEASE HELP ME OUT! QUICK POINTS FOR YOU!
All information needed can be found in the image below
Thank you in advance.
Answers
Answer:
3.14 units squared
Step-by-step explanation:
A = pi r^2
A = pi (1) ^2
A = pi = 3.14
(Radius = diameter / 2)
PLEASE HELP ASAP
Find the surface area and volume of the cylinder below:
Answers
Answer:
Surface Area: 848.23
Volume: 1727.88
Step-by-step explanation:
I know dis im in 8th grade iz ez!
Trigonometry, please answer ASAP, Convert the radian measure to degrees.
12
Answers
Answer:
687.549 deg
Step-by-step explanation:
12 rad = 687.549 deg
Figure out the x-intercept and y-intercept in given equation of the line.
6x + 2y = 12
Answers
Answer:
x intercept=2
y intercept=6
Step-by-step explanation:
to find x and y intercepts, plug in 0 for x and y
x intercept-
6x+2(0)=12
6x=12
x=2
y intercept-
6(0)+2y=12
2y=12
y=6
Sebastián afirma que – 14 está a la izquierda de – 10 en la recta numérica y por lo tanto es mayor, mientras que Alfredo afirma que es menor. ¿Quién está en lo correcto? Justifica.
Answers
Answer:
Alfredo está en lo correcto porque los números negativos se encuentran a la izquierda del cero y mientras más a la izquierda se encuentra un número negativo, más pequeño será y a medida que te desplazas hacia la derecha mayor será el número. Puedes representar los dos números en una recta numérica de la siguiente forma:
___________________________________________________________
-14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
Como se ve aquí, -14 se encuentra a la izquierda de -10 y esto significa que es menor. Por esto, Alfredo está en lo correcto al decir que -14 es menor.
Question Help
One taco supreme and two pan pizzas provide 3200 calories. Two taco supremes and one pan pizza
provide 3280 calories. Find the caloric content of each item.
Answers
Answer:
4324eqW
Step-by-step explanation:
3 + 5 =7
eight more than the quotient of a number and four
Answers
Answer:
hi
Step-by-step explanation:
Which expression is equivalent to 36 + 24?
Answers
Answer:
60
Step-by-step explanation:
In the small town of Middleton, there are only two restaurants that serve pizza- a small family owned Italian restaurant and a new franchise pizza restaurant. In a recent review of the franchise, a food critic reported that the pizza was delicious as promised. The only negative review that the franchise received from the critic was in reference to the inaccurate delivery time quoted during the online order process. In response to the article, the franchise owner used a program to analyze the online pizza orders that took place during the week before the review. He chose to track the orders at 6pm each day. He recorded his results in the frequency table below.
Use the frequency table to create a box and whisker plot of the On Time data values. In your final answer, include all calculations necessary to create the box and whisker plot.
Use the frequency table to create a box and whisker plot of the Late data values. In your final answer, include all calculations necessary to create the box and whisker plot.
Answers
Answer: 1.
Yes , the data franchise owner is collecting, will be helpful in order to counter the criticism from the critic. As he has a record for every delivery they are making on daily basis.
2.
The scenario is that for every fifth customer , the owner cross the four lines he makes. Thus a pack of five and easy to remember. As the data on regular week days is less, As can do the same for the third customer. Crossing the 2 lines for 3rd customer.
3.
With this provision of crossing the third customer, the owner can have a better check on the late delivery. As it will bring in his notice earlier as compared to fifth crossing.
4.
With the data as provided in the table, we can come to the conclusion that on weekends , i.e. both on time delivery and late deliveries are high in numbers. It must be because of high demand on that days. So owner must make some provision like hiring some more delivery boys for weekend in order to reduce the late deliveries.
Step-by-step explanation:
How much money would produce $70 as simple interest at 3.5% per
annum?
Answers
Answer:
$2000
Step-by-step explanation:
Simple Interest = $70
Rate = 3.5%
Time = 1
Principal = ?
Simple Interest = (Principal × Rate × Time)/100
Principal = (Simple Interest × 100)/(Rate × Time)
Principal = (70 × 100)/(3.5 × 1)
Principal = 7000/3.5
Principal = 14000/7
Principal = 2000
A rectangle has a perimeter of 150 cm. The length is 3 cm more than twice the width. Find the length and width of the rectangle.
Answers
Answer:
Length of rectangle = 51 cm
Width of rectangle = 24 cm
Step-by-step explanation:
Given:
Perimeter of rectangle = 150 cm
Find:
Length and width of the rectangle
Computation:
Assume;
Width of rectangle = a cm
Length of rectangle = 2a + 3 cm
Perimeter of rectangle = 2[l + b]
150 = 2[(2a + 3) + a]
2[3a + 3] = 150
6a + 6 = 150
6a = 144
a = 24
Width of rectangle = 24 cm
Length of rectangle = 2a + 3 cm
Length of rectangle = 2(24) + 3 cm
Length of rectangle = 51 cm
if you had 4 quarters and 8 nickels how much money would you have?
Answers
Answer:
$1.40
Step-by-step explanation:
4 quarters
1 quarter = 25 cents
Therefore, 4 quarters = 1/25 x 4/x
multiply 4 by 25, since 1 quarter = 25 cents
4 x 25 = 100
4 quarters = 100 cents
which equals $1
8 nickels
1 nickle = 5 cents
Therefore, 8 nickles = 1/5 x 8/x
multipy 8 by 5, since 1 nickel = 5cents
8 x 5 = 40
8 nickels = 40 cents
So add both 40 cents and 100 cents, which equals 140 cents.
But you still have to change the cents to dollars.
Which is 100 cents = $1
Add 40 cents
= $1.40
i need help with this...
Answers
the answer is 60 :) good luckStep-by-step explanation:
Complete the Square of the quadratic equation in standard form: ax2 + bx + c Treat this like a literal equation where you are solving for x by completing the square. To get started, write the equation in the form: x2 + bx = ?
Answers
Answer:
x = [-b ±√(b² - 4ac)]/2a
Step-by-step explanation:
ax² + bx + c = 0
dividing through by a, we have
ax²/a + bx/a + c/a = 0
x² + bx/a + c/a = 0
x² + bx/a = -c/a
we now add th square of half the coefficient of x to both sides, thus
x² + bx/a + (b/2a)² = -c/a + (b/2a)²
simplifying the left hand side and right hand side, we have
(x + b/2a)² = -c/a + b²/4a²
re-arranging, we have
(x + b/2a)² = b²/4a² - c/a
taking L.C.M of the right hand side, we have
(x + b/2a)² = (b² - 4ac)/4a²
taking square-root of both sides, we have
√(x + b/2a)² = ±√[(b² - 4ac)/4a²]
x + b/2a = ±√(b² - 4ac)/2a
So, x = -b/2a ±√(b² - 4ac)/2a
taking the L.C.M of the right hand side, we have
x = [-b ±√(b² - 4ac)]/2a
π (pi) is an unending decimal. Find the Circumference of the circle below using exact π (pi).
Answers
Step-by-step explanation:
Given radius, r = 5,
Circumference of Circle, C
[tex] = 2\pi \: r \\ = 2\pi(5) \\ = 10\pi \: units[/tex]
Answer:
[tex]10\pi[/tex]
Step-by-step explanation:
As the hint below says:
[tex]C = 2\pi r[/tex]
We also know that
r = 5
So thus:
[tex]C = 2 \pi \cdot 5 = 10\pi[/tex]
Find the value of x. Also with explanation please
Answers
Answer:
x+90°+130°=360°
x+220°=360°
x=360°-220°
x=140°
8 ft
Find the area of the figure.
Answers
Find the surface area of the prism.
Answers
Answer:
30 i think
Step-by-step explanation:
Help me with this Math question.
Answers
Answer:
D
Step-by-step explanation:
Just graph the equation and where they intercept is the solution.
Just use desmos graphing calculator if you don't know how to graph.
A triangle has lengths of 3 cm, 5 cm, and 9 cm, can it form 1 or more triangles?
Answers
Answer:Yes
Step-by-step explanation:
Find m∠MON..........
Answers
LOM + MON = LON in measure, so
9x + 44 + 6x + 3 = 77
15x + 47 = 77
15x = 30
x = 2
MON = 6x + 3
= 6(2) + 3
= 12 + 3 = 15°
Which equation is not equivalent to 2x+10=-8
Answers
Answer:
2x+10=-8
x=9
3x=9
x=3
2x=8
x=4
4x=20
x=5
Step-by-step explanation:
hi please help i’ll give brainliest
Answers
Answer:
Ellipse. It is irregular at some points.
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
What is the probability of rolling a number less than 4 on a number cube labeled 1 trough 6?!
Answers
Answer:
3/6
Step-by-step explanation:
1 2 and 3 are less than 4 so only 3 numbers
Minh wants to buy a car costing $9,950. She can put $1,000 down and finance the rest at 10.9% APR, making the monthly payments for 3 years. How will Minh pay in finance charges? What will her monthly payments be?
Answers
Answer:
piip;[-p-o-ul0i
Step-by-step explanation:
After taking part in a competition, Seth received a silver medal with a diameter of 8 inches. What is the medal's circumference?
Use 3.14 for .
Answers
Answer: 25.12 inches
Step-by-step explanation:
C=2πr
8/2=4
2(3.14)(4)
2(12.56)
25.12
Answer:
25.12 inches
Step-by-step explanation:
So, the formula for circumference is πd (or πr² whichever you prefer. We already have the diameter, so we do π x d, which is π x 8 inches, which is equal to 25.12 inches.
This is correct only if you use π as 3.14 hope this helps :)
Please help me!! No files allowed. I need the answer and an explanation!
Answers
Answer:
1/324
Step-by-step explanation: