Answers
Answer:
The equation which determined the rule for the function is:
y = 3x+2Thus, option B is true.
Step-by-step explanation:
We know the slope-intercept form of line function is
y = mx+b
where m is the slope and b is the y-intercept
Given the table
x -2 -1 0 1 2
y -4 -1 2 5 8
Finding the slope between the points (-2, -4) and (-1, -1)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-2,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-1\right)[/tex]
[tex]m=\frac{-1-\left(-4\right)}{-1-\left(-2\right)}[/tex]
[tex]m=3[/tex]
Thus, the slope of the function = m = 3
We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.
It is clear,
at x=0, y = 2
Thus, the y-intercept 'b' = 2
now substituting m = 3 and b =2 in the slope-intercept form
y = mx+b
y = 3x + 2
Therefore, the equation which determined the rule for the function is:
y = 3x+2Thus, option B is true.
Related Questions
Marty owns a motorcycle and does not like to put
more than 3,000 miles on it per year. If he drives
255 miles on average per month for1 year, will he
be within his 3,000 miles per year?
Answers
No he would be over by 60, all you have to do is multiply 255*12 to get the years amount of riding.
5. A cylindrical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of painting
the curved surface of the pillar at the rate of 12.50 per m.
Answers
Answer:
The cost of painting the curved surface of pillar is: 68.69
Step-by-step explanation:
Given that
Diameter of pillar = d = 50 cm
As the height is in meters and we have to find the cost in per square meter, we have to convert cm into meters.
So,
d = 50/100 = 0.50 m
Now the radius will be:
[tex]r = \frac{d}{2} = \frac{0.50}{2} = 0.25m[/tex]
Also
Height = 3.5m
The curved surface area of cylinder is given by:
[tex]CSA = 2\pi rh[/tex]
Putting the values
[tex]CSA = 2 * 3.14 * 0.25 * 3.5 = 5.495\ m^2[/tex]
It is given that the cost per square meter is 12.50
The total cost for 5.495 m^2 will be: 12.50 * 5.495 = 68.6875
Rounding off to nearest hundredth: 68.69
Hence,
The cost of painting the curved surface of pillar is: 68.69
The product of three and a number equals the sum of 16 and a number. find the number
Answers
Answer:
n = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
Set up the equation.
3n = n + 16
Step 2: Solve for n
Subtract n on both sides: 2n = 16Divide 2 on both sides: n = 8Tait earns $89,000 this year. He gets a cost of living raise to compensate for yearly inflation of 396. What will his raise be next year?
Answers
Step-by-step explanation:
His raise is 3% of 89.000
.03*89.000=$2.670
His new salary is ( to get the number you need to add 89.000+2.670={$91.67})
Tait's raise in the coming year will be $2,670
Question meant to say that the inflation is 3%.
Inflation refers to the general rise in the price of goods and services in a country. It therefore makes a currency weaker because that currency will only be able to buy less than it could before.
The raise will have to be 3% as well to ensure that inflation does not affect Tait
The raise is based on his salary so can be found by:
= Amount Tait earns x Inflation rate
= 89,000 x 3%
= $2,670
In conclusion, the raise is $2,670
Find out more at https://brainly.com/question/1234186.
Help me please I need this
Answers
Answer:
i think the answer is -13
Step-by-step explanation:
b-6= -7-6
=-13
your correct answer is 13
I am sure it's correct... just go for it
Skate World offers birthday parties for a fee of $130 plus $3 per person. If you can spend no more than $190 on your party, what is the maximum number of people who can attend?
Answers
What is the range of the graph?
Answers
Answer:
[tex]-5 \leq y \leq 5[/tex]
Step-by-step explanation:
Just find the minimum point and the maximum point of the graph in the y-axis.
The minimum value is -5 and the maximum value is 5,
so the y- value of the graph can be any point between -5 and 5 (including -5 and 5).
And the range of the graph is greater or equal to -5 and lesser or equal to 5.
The cost to fill a car’s tank with gas and get a car wash is a linear function of the capacity of the tank. The costs of a fill-up and a car wash for three different customers are shown in the table. Write an equation for the function in slope-intercept form. Then, find the cost of a fill-up and a car wash for a customer with a truck whose tank size is 30 gallons.
Answers
Answer:
ok so firstly you need a graph to decipher what the answer will be
Step-by-step explanation:
So due to that error i am unable to complete the problem because you did not provide enough information
What is the rate of change of y with respect to x for 9x-11y+2=0?
Answers
Answer:
the rate of chnge would be 9/11x
Step-by-step explanation:
here's a pic of my process:
X is carrying out a series of experiments which involve using increasing amounts of a chemical. In the first experiment he uses 6g of the chemical and in the second experiment he uses 7.8g of the chemical.
(i) Given that the amounts of the chemical used form an arithmetic progression, find the total amount of chemical used in the first 30 experiments. [4]
(ii) Instead it is given that the amounts of the chemical used form a geometric progression. X has a total of 1800g of the chemical available. Show that N, the greatest number of experiments possible, satisfies the inequality
1.3N ≤ 91.
and use logarithms to calculate the value of N.
Answers
Answer:
a) 963g
b) 17
Step-by-step explanation:
i) Now we must first find the common difference of the AP
d = 7.8 -6 = 1.8
Now the sum of the AP gives the total amount of chemical used for 30 experiments
Sn = n/2 [2a + (n-1)d]
n= 30, a = 6, d= 1.8
Sn = 30/2[2(6) + (30-1) (1.8)]
Sn = 15[12 + 52.2]
Sn = 963g
ii)For the G.P the common ration is (r)= 7.8/6 = 1.3
Since r>1, sum of GP = a (r^n -1)/r-1
If sum = 1800g
1800= 6(1.3^n -1)/1.3 - 1
1800 = 6(1.3^n -1)/0.3
1800 * 0.3 = 6(1.3^n -1)
540 = 6(1.3^n -1)
540/6 = (1.3^n -1)
90 = 1.3^n -1
90 + 1 = 1.3^n
1.3^n = 91
log 1.3^n = log 91
nlog1.3 = log 91
n = log91/log 1.3
n = 1.959/0.114
n = 17
Answer:
a) 963g
b) 17
Step-by-step explanation:
i) Now we must first find the common difference of the AP
d = 7.8 -6 = 1.8
Now the sum of the AP gives the total amount of chemical used for 30 experiments
Sn = n/2 [2a + (n-1)d]
n= 30, a = 6, d= 1.8
Sn = 30/2[2(6) + (30-1) (1.8)]
Sn = 15[12 + 52.2]
Sn = 963g
ii)For the G.P the common ration is (r)= 7.8/6 = 1.3
Since r>1, sum of GP = a (r^n -1)/r-1
If sum = 1800g
1800= 6(1.3^n -1)/1.3 - 1
1800 = 6(1.3^n -1)/0.3
1800 * 0.3 = 6(1.3^n -1)
540 = 6(1.3^n -1)
540/6 = (1.3^n -1)
90 = 1.3^n -1
90 + 1 = 1.3^n
1.3^n = 91
log 1.3^n = log 91
nlog1.3 = log 91
n = log91/log 1.3
n = 1.959/0.114
n = 17
The graph of x < 3 or x > 5 would look like:
Answers
Answer:
Solution in photo
Step-by-step explanation:
Solve for x using the
distributive property
4(x + 2) = 4
Answers
Answer:
-1
Step-by-step explanation:
4x + 8 = 4
subtract 8 from each side
4x = -4
divide each side by -4
x= -1
Answer:
x = -1
Step-by-step explanation:
You would first multiply 4 with is the first number by x and 2. You would get 4x+8. The you would subtract 8 by both sides. 4x = -4. The you would divide 4 by -4. Which will get you -1.
:)
If x2 = 10, what is the value of x? (5 points)
+ V10
#V20
+5
+20
Answers
Answer:
[tex]x=\pm\sqrt{10}[/tex]
Step-by-step explanation:
It is given that,
[tex]x^2=10[/tex]
We need to find the value of x.
[tex]x=\pm\sqrt{10}[/tex]
Plus- minus will come before 10. So, the correct option is (A). Hence, this is the required solution.
Duela de 1a 1 1/2 x 10 x 3, $ 120.00 m2
Answers
¡Hola!
¿Qué puede significar una duela de 1 a 1 1/2 x10x3 $ 120.00m2?
Este ejercicio es para que puedas acomodar la información para que quien la lea tenga una forma de entenderla claramente así:
1. Primero podríamos decir que una duela es una tabla de madera que se curva y contornea los barriles o también las tablas de los pisos.
2. Lo siguiente es para confirmar que la mesa es de excelente calidad, es decir, Primera o.
3. 1, puede hacer referencia a una unidad.
4. 1/2 x10x3 este puede ser su volumen en centímetros 1 / 2cm de alto, 10cm de largo y 3cm de ancho.
5. Por último, el precio de la duela, 120.000 dólares el metro cuadrado.
Entonces podemos organizar todo esto:
Duela de Primero, 1 unidad; 1/2 cm de alto, 10cm de largo y 3cm de ancho, con un precio de $ 120.00 el metro cuadrado.
¡Espero haber ayudado!
(06.01)
What is the value of the expression 62 +33? Someone HELP meee
Answers
Answer:
21
Step-by-step explanation:
Trust me its correct
Mark me brainliest
Question 3 (Fill-In-The-Blank Worth 2 points)
(06.01)
What is the value of the expression 62 + 33?
Numerical Answers Expected!
Answer for Blank 1:
21
Answer:
95.
Step-by-step explanation:
62 + 33 do 60+30 then add 5
If Abigail took 15 hours to read a 480 page book. At this rate, how long will it take for her to read a 320 page book? pls give me the equation
Answers
Answer:
10 hours
Step-by-step explanation:
Equation: 15/480=x/320
-15x=320*480
x=10
=10 hours
A group of students go out to lunch. If four have burritos and two have tacos, the bill will be $19.00. If three have burritos and three have tacos the bill will be 17.25. Find the price of each burrito and taco
Answers
Answer:
burritos cost $4
tacos cost $ 1.75
Step-by-step explanation:
let b represent the price of burritos
let t represent the price of tacos
3b + 4t = 19
5b + 3t = 25.25
multiply the first equation by -3 and second by 4 to eliminate t
-3(3b + 4t = 19)
4(5b + 3t = 25.25)
-9b - 12t = -57
20b + 12t = 101
add both equations
11b = 44
11 11
b = 4
substitute b = 4 into any equation to find the price of tacos
3b + 4t = 19
3(4) + 4t = 19
12 + 4t = 19
-12 -12
4t = 7
4 4
t = 1.75
Which property of equality should be used with the equation c+5=78 to solve?
Answers
Answer:
the subtraction property of equality
Step-by-step explanation:
We use the "subtraction property of equality" to solve for the unknown in the equation:
c + 5 = 78
subtract 5 from both sides:
c + 5 - 5 = 78 - 5
c = 73
Solve for x in the parallelogram below.
Answers
Answer:
its 6
Step-by-step explanation:
-6+15x=84- add 6 to 84
15x=90 divide
x=6
One friend claims that to find the height of the platform, you need to use the tangent ratio. Explain why her approach is or is not a reasonable
approach to finding the height of the platform.
Find the height of the platform. Explain the trigonometric ratio that you chose and why you chose it. Show your work.
Find the horizontal distance from the bottom of the ramp to the bottom of the platform. Show your work.
Answers
Answer:
x ≈ 1.64 my ≈ 3.09 mStep-by-step explanation:
ABC is right triangleAngle A and side AB givenSide BC to be foundUse sine of A to find the length of missing side:
opposite/hypotenuse = sinBC/AB = sin Ax/3.5 = sin 28x = 3.5* sin 28x = 3.5*0.47 ≈ 1.64 mHorizontal distance y is:
y = √3.5²-1.64²= √9.5604 = 3.09 mConsumer complaints are frequently reported to the Better Business Bureau. In one year the industries with the most complaints to the Better Business Bureau were banks; cable and satellite television companies; collection agencies; cellular phone providers; and new car dealerships. The results for a sample of 200 complaints are contained in the DATAfile named BBB.Click on the datafile logo to reference the data.Bank 26, Cable 44, Car 42, Cell 60, Collection 28(a) Show the frequency and percent frequency of complaints by industry.Industry Frequency % Frequency Bank Cable Car Cell Collection Total (b) Which industry had the highest number of complaints?- Select your answer -Banks/Cable and satellite television companies/Collection agencies/Cellular phone(c) Comment on the percentage frequency distribution for complaints.The input in the box below will not be graded, but may be reviewed and considered by your instructor.
Answers
Answer:
Consumers Complaints
a) Frequency and Percent Frequency of Complaints by Industry:
Industry Frequency % Frequency
Bank 26 13% (26/200)
Cable 44 22% (44/200)
Car 42 21% (42/200)
Cell 60 30% (60/200)
Collection 28 14% (28/200)
Total 200 100%
b) The Cellular Phone industry has the highest number of complaints.
c) The percentage frequency distribution of complaints shows that many consumers are not satisfied with the services of their cellular phone providers. This highest level of service dissatisfaction is followed by services rendered by Cable and Satellite Television Companies and Car dealers, in that order. Comparatively, less dissatisfaction was showed to Collection and Bank services.
Step-by-step explanation:
a) Data and Calculations:
Bank 26
Cable 44
Car 42
Cell 60
Collection 28
Industry Frequency % Frequency
Bank 26 13% (26/200)
Cable 44 22% (44/200)
Car 42 21% (42/200)
Cell 60 30% (60/200)
Collection 28 14% (28/200)
Total 200 100%
Graph each equation using the slope and the y-intercept. y = –4x – 2.5
Answers
(See the attached picture below)
Step-by-step expression-
-2.5 is the y intercept so put a dot on that point on the graph. Then since the slope is -4, (the slope is negative), you want to rise (go up) 4 and run (go sideways) 1. Then just draw a line connecting those two dots. Happy studying :)
Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.
1/7x + y = 9; y = -7x
y = 3x - 3; 12x - 4y = 12
7y = 2x + 1; 14x + 4y = 12
x - 4y = 18; y = x + 4
3x - 4y = -1; 3y = -4x + 5
Parallel Perpendicular Neither
Answers
Answer:
Step-by-step explanation:
(1). [tex]\frac{1}{7}[/tex] x + y = 9 and y = - 7x ( Neither ) ; lines intersect.
(2). y = 3x - 3; 12x - 4y = 12 ( Neither ) ; Lines are overlapped or both equation are of the same line.
(3). 7y = 2x + 1; 14x + 4y = 12 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{2}{7}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{7}{2}[/tex] , slopes are opposite reciprocals.
(4). x - 4y = 18; y = x + 4 ( Neither ) ; lines intersect.
(5). 3x - 4y = - 1; 3y = - 4x + 5 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{3}{4}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{4}{3}[/tex] , slopes are opposite reciprocals.
what is the slope and intercept of this equashion y = -9x + 3
Answers
Answer:
slope is -9
y intercept is 3
Step-by-step explanation:
its in the equation
question down below thanks
Answers
Expand brackets
6x-6-4x=6x-10
Collect like terms 2x-6=6x-10
Move all terms to the left side
2x-6-6x+10=0
Collect like terms
-4x+4=0
Move +4 to the other side as a negative number
-4x=-4
Divide both sides by -4
Therefore, x is equal to 1
How do you turn a percentage into a fraction?
Answers
Answer:
write the percent divided by 100
Step-by-step explanation:
1) write the percent divided by 100.
2) if the percent is not a whole number, multiply both top and bottom by 10 for every number after the decimal point.
3) reduce (simplify) the fraction.
7. 70% of what number is 112
Answers
Answer:
1.6
Step-by-step explanation:
you divide 112/70 and you get 1.6
Remove all perfect squares from inside the square root
172
Answers
Answer:4^\67
Step-by-step explanation:
what is the interior angle sum of 31-gon
Answers
Sum of Interior Angles = (Number of Sides -2) • 180 degrees
Sum of Interior Angles = 29 * 180
Sum of Interior Angles = 5,220
The interior angle sum of 31-gon is A = 5220°
What is the sum of the interior angles of a polygon?
The sum of the interior angles of a polygon is given by the formula
Sum of Interior angles of a polygon with n sides is
nθ = 180 ( n - 2 )
where n is the number of sides
θ = angle in degrees
Given data ,
Let the interior angle sum of the polygon be = A
Now , the value of A is calculated by
The number of sides of the polygon n = 31
So , the interior angle sum of the 31-gon is given by the equation
Sum of Interior angles of a polygon with n sides is
nθ = 180 ( n - 2 )
where n is the number of sides , so
Substituting the values in the equation , we get
The value of nθ = 180 ( n - 2 )
The value of nθ = 180 ( 31 - 2 )
The value of nθ = 180 x 29
The value of nθ = 5220°
Therefore , the value of A is 5220°
Hence , The interior angle sum of 31-gon is A = 5220°
To learn more about interior angle sum of a polygon click :
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simplify : 3ac + 5ab – 4ab + ac + 8bc
Answers
Answer:
4ac + ab + acb Dont mind this, i just need to have this 20 or more characters long: dhdudhsjsksksksjdhdhdjudjsjsjsjssjsjdudhd