The graph shows the number of possible passengers for a given number of roller coaster cars that leave the platform. Complete parts a and b.
m = 24 - [?] / [?] - 2 = [?]/1
y = [?]x
Answers
The linear equation is y = 8x and the slope of the graph is 8
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the rate of change and b is the initial value of y.
Using the points (2, 16) and (3, 24):
[tex]slope(m)=\frac{24-16}{3-2}=8[/tex]
Hence the linear equation is y = 8x
Find out more on linear equation at: https://brainly.com/question/14323743
Related Questions
What did the British hope to achieve by establishing the Dominion of New England? a stronger colonial stance against New France more self-government in the colonies firmer control over an increasingly independent New England the reestablishment of royal control over New York and New Jersey
Answers
Answer:
Britain's goal with the Dominion of New England was to conglomerate all the governance of the colonies under one governor, a governor that would be able to properly enforce British laws. Before the Dominion was created, New England colonies were ruled under individual charters that allowed for self-government.
Step-by-step explanation:
The area of rhombus is 360cmsquare and one of its diagonalis 18cm. Find the other diagonal.
Answers
Answer: 40 cm
So the diagonal formula is - 1/2* (d1*d2) d1 is the first diagonal and d2 is the second diagonal.
So,
1/2 * (18*d2)= 360
18*d2= 360*2
d2= 720/18
d2= 40
I need help with these three questions I have the question and math problems all in the screenshots please help :)
Answers
Answer:
Screenshot 1 = Option B (5x-1)²
Screenshot 2 = (x+9)(x+9)
Screenshot 3 = Option 3 100x²-20x+1
Step-by-step explanation:
Screenshot 1 -
(5x-1)² = (5x-1)(5x-1)
5x · 5x = 25x²
5x · -1 = -5x
5x · -1 = -5x
(-1) · (-1) = 1
25x²- 5x- 5x + 1 = 25x² - 10x + 1
Screenshot 2 -
(x+9)(x+9)
x · x = x²
x · 9 = 9x
x · 9 = 9x
9 · 9 = 81
x² + 9x + 9x + 81 = x² + 18x + 81
Screenshot 3 -
100x²-20x+1
(10x-1)(10x-1)
10x · 10x = 100x²
10x · (-1) = -10x
10x · (-1) = -10x
(-1) · (-1) = 1
100x² - 10x - 10x + 1 = 100x² - 20x +1
What percent of the respondents preferred dark chocolate or milk chocolate?
Write your answer using a percent sign (%).
Answers
Consider the rectangle shown.
3x + 5
2x-1
If the perimeter of the rectangle is 52, what is the value of x?
Answers
Step-by-step explanation:
Perimeter of rectangle = 2(a+b) or 2a +2b
a=perimeter of the first side of the rectangle
b=perimeter of the second side of the rectangle
Perimeter = 2(3x+5 + 2x-1)=52
Open the bracket by multiplying the number outside by the number inside
=6x+10+4x-2=52
C.L.T ( Collect like terms), that means put the terms that have co-efficients together (those with variables "X") and those that don't have in the other side of the equation. While collecting like terms, if a number is taken to the other side, the sign changes
6x+4x=52-10+2
10x=44
D.B.S by 10, to make variable X subject
x=4.4
If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be 4.4.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
The dimension of the rectangle is (3x + 5) and (2x - 1).
If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be given as,
2[(3x + 5) + (2x - 1)] = 52
Simplify the equation, then we have
2[(3x + 5) + (2x - 1)] = 52
3x + 5 + 2x - 1 = 26
5x + 4 = 26
5x = 22
x = 22 / 5
x = 4.4
If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be 4.4.
More about the perimeter of the rectangle link is given below.
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A CBS News/New York Times opinion poll asked 1,190 adults whether they would prefer balancing the federal budget over cutting taxes; 59% of those asked said "yes." Suppose that in fact 62% of all adults favor balancing the budget over cutting taxes. If this poll was not biased, what is the probability you would get p^=0.59 or less?
Answers
Using the normal distribution and the central limit theorem, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean [tex]\mu = p[/tex] and standard error [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]In this problem:
1,190 adults were asked, hence [tex]n = 1190[/tex]In fact 62% of all adults favor balancing the budget over cutting taxes, hence [tex]p = 0.62[/tex].The mean and the standard error are given by:
[tex]\mu = p = 0.62[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141[/tex]
The probability of a sample proportion of 0.59 or less is the p-value of Z when X = 0.59, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.59 - 0.62}{0.0141}[/tex]
[tex]Z = -2.13[/tex]
[tex]Z = -2.13[/tex] has a p-value of 0.0166.
0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
You can learn more about the normal distribution and the central limit theorem at https://brainly.com/question/24663213
THE AREA OF A LAKE ON THE MAP IS 12CM SQUARE CALCULATE THE ACTRUAL AREA OF THE LAKE IN KM
SQUARE
Answers
Answer:
if 1cm is for 1km there are 12km
Step-by-step explanation:
it can depend on the size of the map but if there is a scale which shows how many km per cm then multiply by 12
triangle: 3x-1,4x+1,3x
perimeter:70cm
area:A2
find A
Answers
Answer:
A = 210 cm²
Step-by-step explanation:
Perimeter of the triangle = the sum of the sides of the triangle.
70 = (3x - 1) + (4x + 1) + (3x)
70 = 10x
7 = x The length of the sides of the triangle are 3x - 1 = 20; 4x + 1 = 29 and
3x = 21.
Looking at the given information, this triangle is a special type of triangle because the area of a triangle is Area = 1/2 bh and you do not know which side is the base and height of the triangle.
Trying a² + b² = c² to see if it is a right triangle. 20² + 21² = 29 ² ; yes it is a right triangle and now we know that the base and height is 20 and 21. The longest side is the hypotenuse in a right triangle
A = 1/2bh
A = 1/2 (20)(21)
A = 10 · 21
A = 210 cm²
winter coat was originally priced at 140$ and went on sale for 91$ by what percentage was the price of the winter coat reduced?
Answers
Answer:
35%
Step-by-step explanation:
Find out what percent 91 is of 140
91÷140 = 0.65
Then find out how much was reduced by subracting 0.65 from 1
1 - 0.65 =0.35
The coat was reduced by 35%
Which graph represents the function?
Answers
Answer:
First one ( top left)
This has an open circle at y = 3 which means the 3 is not included.
Then the y value of the second line equals the x value.
The two on the right are not correct because they use a closed dot for a strict inequality (the one without the line under it has the empty dot)
The bottom left one can’t be correct in my eyes because the second equation says that y (f(x)) equals x if x is greater than or equal to one. But the range of the numbers don’t go beyond (0,1).
The top left is inclusive of numbers that are greater than 1.
Let me know how it goes I am not the best at math
A tank contained 35 liters of water. After some water was poured out, it was 2/5 filled. How much water was poured out from the tank?
Answers
Answer:
21litres
Step-by-step explanation:
2/5 of 35litres of water was left in the tank
2/5 × 35 = 14litres
14litres remained
Amount of water poured out= 35-14
= 21litres
Which of the following equations names the same line as -2x – 3y = 5?
A. -4x - 6y = 12
B. -4x - y = 10
C. -6x - 9y = 15
D. 4x - 6y = 15
Answers
Answer:
c
Step-by-step explanation:
_6x -9y =15
_6x÷3=-2x
9y÷3=3y
15÷3=5
so,_2x -3y =5
Select the correct answer.
2
Which equation describes the line graphed above?
O A.y = -41 - 5
OB. y = 5 - 4
OC. y = -1/5 - 4
OD. y = -41 - 1
Answers
Answer:
I think its OC
Hope it helps
Does anyone know how to solve this? Please helppp, I’m so confused
Answers
Answer:
y = 65 degree
x = 50 degree
Step-by-step explanation:
I believe that’s right
The two angles in the isosceles triangle are 50 and 65 degrees .
An isosceles triangle has two equal sides and two equal angles.
Consider that the one angles in the triangle is x degrees and the bottom angle is 65 degrees.
Then we have:
65 = y
(The sum of all angles in a triangle is 180 degrees.)
Then Simplifying the equation:
65 + 65 + x = 1802
x = 180 - 65 - 65
x = 50 degrees
Therefore, the two angles in the isosceles triangle are 50 and 65 degrees .
Learn more about angles here;
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The following circular spinner has 10 sections of equal size. If the spinner is spun twice, what is the probability that the spinner lands on an odd number both times?
Answers
Answer:
The chance of anding on A for one spin is 90+45360=38. So the probability of that happening twice in a row is 38×38=964.
Step-by-step explanation:
hope this helps you mark me brinilylist
Please help I don't understand i'm in the lowest class.
Answers
Answer:
Step-by-step explanation:
11
13
15
17
23
What is the probability that the reader is a young adult given that their favorite is Asimov or Brooks?
Answers
Answer:
7/16
Step-by-step explanation:
80 is the given amount which would become the denominator then you get the number of young adults in those sections and add them up to equal 35
then simplify
there are 64 female performers in a dance recital. the ratio of men to woman is 5:8 how many men are in the dance recital
Answers
Answer:
40
Step-by-step explanation:
64 female
ratio of men to women is 5:8
5x:8x
where 8x = 64
so x = 8
5(8):8(8)
40:64
So there are 40 men.
Can some help me i don't understand how to do this math!!
Answers
Answer:
Step-by-step explanation:
[tex]\frac{x}{(x-2)^{2} } -\frac{x}{(x-2)(x-1)} = \frac{x^{2}-x-x^{2} +2x }{(x-2)^{2}(x-1) }[/tex]
? = 2x -x = x
How i can answer this question?
Answers
This is something called collecting like terms, for example, we’d combined both of the r terms
4r - r = 3r
And combine both of the constant terms
14 - 6 = 8
The final expression will be 3r + 6
Answer: 3r+8
Step-by-step explanation:
4r-r=3r
and 14-6=8
therefore it would be 3r+8
what regular polygon has an interior angle of 156 degrees
Answers
Answer:
regular pentadecagon
Step-by-step explanation:
it has 15 sides
that is what matches the exterior angled sum property - 360degree
let me explain it
1 side = 180 - 156 = 24
360/24 = 15
mark me brainliest and thank me if you like the answer
What is the y intercept of the line y + 11=-2(x+1.5)
Answers
[tex]y +11 = -2(x+1.5)\\\\\implies y = -2x -3 -11\\\\\implies y = -2x - 14\\\\\text{The above equation is in a form of y = mx +b,}~\text{where}~~ b = -14~\text{ is the y-intercept.}[/tex]
pls help due soon i’ll mark brainliest
Answers
I can't see anything dude, you on something?
I need help final exam will mark brainliest...
Pablo is walking. The number of minutes he has walked varies directly with the number of calories he has burned. See the graph below. two-part question.
(a) How many calories is Pablo burning per minute?
(b) what is the slope of the graph?
Answers
1/2 is your slope.
Answer:
1. 5 calories per minute
2.1/2 is your slope.
Step-by-step explanation:
Please show work!! I'll give you brainliest
10. If the area of a parallelogram is 690.84 m2 and the height is 20.2 m, what is the length of the base?
Answers
Answer:
b=34.2m
Step-by-step explanation:
equation for area of parallelogram
a=b×h
in which b is the base(length) and h is the height
[tex]690.84 = b \times 20.2[/tex]
[tex]b = \frac{690.84}{20.2} [/tex]
b=34.2m
What is the average rate of change for this quadratic function for the interval
from x= -5 to x= -3?
A. 16
ОО
B. -8
C. 8
D. -16
Answers
Answer:
hi the answer should be C or 8
Step-by-step explanation:
Hope this helps!
Answer:
8
Step-by-step explanation:
The average rate of change is given by
f(x2) -f(x1)
---------------
x2-x1
x2 = -3 and x1 = -5
Looking at the graph
f(x2) = f(-3) = 1
f(x1)= f(-5) =-15
Substituting these values into the equation
1 - (-15)
---------------
-3 - (-5)
1+15
----------
-3 +5
16
----
2
8
Apple + Orange = $20
Apple is twice the price of the orange
How much does the apple cost?
Answers
Answer:
Step-by-step explanation:
let price of Orange=x
price of Apple=2x
x+2x=20
3x=20
x=20/3
cost of Apple=2x=2×20/3=40/3=$13 1/3
According to question,
x + 2x = 20
3x = 20
x = 20/3
x = 6.6667
2x = 2 x 6.667 = 13.33
Electroboy has been charged up to +96 C which of course causes an electric field to emanate around him. An electroball charged to 2,8 C is thrown at him and gets close enough to experience an electric field of 20 N/C. What is the electric force on the electroball from electroboy's electric field at this moment?
Answers
Answer:
static electricty
Step-by-step explanation:
it is preserved charge
Answer:
its electroboom not boy
Step-by-step explanation:
lol its static
what is the equation of this graph?
Answers
Answer:
y = x³ +2x² +x -1
Step-by-step explanation:
The attachment shows the four points we can read from the graph and the cubic regression function that fits them.
y = x³ +2x² +x -1
_____
Additional comment
It is useful to become familiar with the regression function capability of your graphing calculator or spreadsheet. Free or inexpensive apps are available for tablet or phone, and on the web.
help help help help help
Answers
Answer:
i think the center (-7,6) and r = 7