Answer:
Q = { (x,y) : (0,0), (1,2), (2,16), (3, 54), (4, 128), (5,250) } is cubic
R= { (x,y) : (2,3), (4,4), (6,5), (8,6) } is linear
S = { (x,y), : (1,3), (2,9), (3,17), (4,27), (5, 39), (6,53) } is quadratic
Equation of the linear relation is
y = 0.5x + 2
Step-by-step explanation:
A linear equation has the form y = mx + b where m is the slope and b is the y-intercept. Slope is a constant and growth of function is determined by x value
A quadratic equation has the general form y = ax² + bx + c where a b and c are constants. Growth of the function is mostly determined by the square of x
A cubic equation has the general form y = ax³ + bx² + cx + d where a, b and c are constants. The growth of the function is mostly determined by the cube of x value
Looking at the three relations
#1 is obviously cubic since the value of y appears to be determined by the cube of the value of x. Specifically, when x = 0, y = 0/. When x =1, y = 2 but when x =2, y =16 and 16 is 2x³ = 2(2³) = 2 x 8
Looking at x =3, 2(3³) = 2(27) = 54
So this is a cubic function
#2 is obviously a linear function When x increases by 2, y increases by 1 so it is a linear growth
#3 In this equation we can see that the y value appears to be controlled by the square of x. The specific equation is y = x² + 3x -1
For the linear equation, find the slope from the first two points
m = (4-3)/(4-2) = 1/2 = 0.5
So the equation is y = 0.5x + b
To find b, use the coordinates of any point. Let's choose (4,4)
At x = 4, y = 4 so
4 = (0.5)4 + b = 2+b yielding b = 2
So the equation is y = 0.5x + 2
Relation Q is not linear, relation R is linear with the equation y = (1/2)x + 2, and relation S is not linear.
1: Q = { (0,0), (1,2), (2,16), (3,54), (4,128), (5,250) }
To determine if this relation is linear, quadratic, or cubic,
Examine the differences between the y-values.
Calculate the differences for the given data:
Difference in y-values:
(2-0) = 2
(16-2) = 14
(54-16) = 38
(128-54) = 74
(250-128) = 122
Looking at the differences,
we can see that they are not constant.
In a linear relation, the differences between the y-values would be constant.
Therefore, we can conclude that this relation is not linear.
2: R = { (2,3), (4,4), (6,5), (8,6) }
Similar to the previous relation, let's calculate the differences:
Difference in y-values:
(4-3) = 1
(6-4) = 2
(8-6) = 2
In this case, the differences between the y-values are constant
(both are 2). This indicates a linear relation.
To find the equation, we can use the slope-intercept form (y = mx + b). Let's choose any two points from the relation, for example, (2,3) and (4,4):
Slope (m) = (4-3) / (4-2) = 1/2
m = 1/2
Now, let's plug in the values of one point (2,3) and the slope into the equation:
y = mx + b
3 = (1/2) x 2 + b
3 = 1 + b
b = 2
Therefore, the equation for this linear relation is y = (1/2)x + 2.
3: S = { (1,3), (2,9), (3,17), (4,27), (5,39), (6,53) }
Again, calculate the differences:
Difference in y-values:
(9-3) = 6
(17-9) = 8
(27-17) = 10
(39-27) = 12
(53-39) = 14
The differences between the y-values are not constant, indicating that this relation is not linear.
Hence,
Relation Q is not linear.
Relation R is linear, with the equation y = (1/2)x + 2.
Relation S is not linear.
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There are 3 red marbles, 2 blue marbles, and 7 black marbles if you choose one marble, what is the probability that it will be a red marble?
Answer:
3:12
Step-by-step explanation:
3 + 2 + 7 = 12
3 = red marbles
12 = total marbles
Answer:
Probability of both red =3(182)=3(18!2!16!)=3153
Step-by-step explanation:
Let Ai be the event in which the i-th ball you grab is red. For the first ball you choose, you have 3 red marbles out of a total of 18. Therefore,
P(A1)=318.
For the second marble you grab, given that you already took a red one, that is, given A1, you have 2 red balls out of a total of 17, then
P(A2∣A1)=217.
Finally,
P(A1∩A2)=P(A1)P(A2∣A1)=318217=151.
find the value of x (9x-3)
The result of the multiplication is the value of x (9x-3) is: 9x² - 3x.
Here, we have,
given that,
the expression is: x (9x-3)
now we need to find the value of x (9x-3)
we have,
x (9x-3)
=> x × (9x-3)
so, we have to multiply this two terms.
now, we get,
=> x × (9x) - x × 3
=> 9x² - 3x
Hence, The result of the multiplication is the value of x (9x-3) is: 9x² - 3x.
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Which compound inequality is graphed?
If a circle has equation (x-3)^2 + (y+1)^2 = 49, what is it’s domain?
I’m forgetting everything from algebra
The domain of the circle is [-4, 10]
How to determine the domain of the circle?The circle equation is given as:
(x - 3)^2 + (y + 1)^2 = 49
Express 49 as 7^2
So, we have
(x - 3)^2 + (y + 1)^2 = 7^2
The general circle equation is
(x - a)^2 + (y - b)^2 = r^2
Where the domain is
Domain = [a ± r]
So, we have
Domain = [3 ± 7]
Evaluate
Domain = [3 - 7, 3 + 7]
This gives
Domain = [-4, 10]
Hence, the domain of the circle is [-4, 10]
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How many shares does Whitney own at the end of the year
Answer:
who's Whitney? And im gonna say 47
Step-by-step explanation:
Answer: I think 43 If it is whitner bulger you actually talking about.
Step-by-step explanation:
Please help!! I don’t understand this :(
Answer:
1c
2b
Step-by-step explanation: i think im not absolutly
shure
what is the solution to the following system? (picture)
a. (2,3,4)
b. (4,3,-2)
c. (4, 3, 2)
d. (6, 7, -2)
option C
PLS MAKE ME AS THE BRAINLIEST ANSWER
Juan and Maria walk dogs in their neighborhood. Maria walks 10 more than twice the number of dogs Juan walks. Together they walk 52 dogs.
Which system of equations models this situation if j represents the number of dogs Juan walks and m represents the number of dogs Maria walks?
Answer:
m=2j+10
m+j=52
Step-by-step explanation:
m = maria
j = juan
1. A television set costs ₱35 000.00 and a yearly cost of electricity of ₱572.00
Answer:
whats the question for this?
Step-by-step explanation:
Some help would be appreciated !!
Find the perimeter.
perimeter = 2(x - 6y) + 2(8x² - x - 4y)
2x - 12y + 16x² - 2x - 8y
= 16x² - 20y units
Math question help me
Answer:
A
Step-by-step explanation:
Find the value of (7x+17) (8x+2)
Answer:
Step-by-step explanation:
7x+17+8x+2)
7x+17+8x+2
7x+8x+17+2
15x+19.
help me please I'm stuck
Answer:
I think its C
Step-by-step explanation:
does the graph represent a function if its a triangle
obviously yes..........
HELP !
A small shop can manufacture 4 windows every
5 hours. At that rate, how long will it take to
manufacture 7 windows?
A) 8 hr
B) 8 hr 15 min
C) 8 hr 30 min
D) 8 hr 45 min
The answer is option D it will take 8 hours 45 minutes to manufacture 7 windows.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The time will be calculated as follows:-
4 windows -------> 5 hours
1 window --------> 5 / 4 hours
7 window --------> 7 x ( 5 / 4 )
7 window --------> 8.75 ≅ 8 hours 45 minutes
Therefore the answer is option D it will take 8 hours 45 minutes to manufacture 7 windows.
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If you have 3.4 dozen eggs, how many eggs do you have?
Answer:
2 eggs
Step-by-step explanation:
A balloon is floating above a lake and a sunken canoe is below the surface of the lake. The balloon's vertical position is 12 meters and the canoes is -4.8 meters. The equation 12+d=-4.8 represents the situation.
Answer:
i. The distance between the balloon and canoe is 16.8 meters.
ii. The situation can be represented by: -12 + d = 4.8
Step-by-step explanation:
Let the surface of the lake be zero. Then any position above it is taken to be positive, while any position below is taken as negative.
So that,
the balloon's vertical position = 12 meters
the sunken canoe's position = -4.8 meters
Given that the distance between the balloon and the canoes is d, then:
d = balloon's position - canoe's position
= 12 - (-4.8)
= 12 + 4.8
d = 16.8
The distance between the balloon and canoe is 16.8 meters.
Thus,
d = 12 -(-4.8)
d = 12 + 4.8
-12 + d = 4.8
The situation can be represented by: -12 + d = 4.8
from the set ( 1,2,3,4,5), which values make n+1>4 true?
- (1,2)
- (4,5)
- (3,4,5)
- (1,2,3)
Answer:
(4,5)
Step-by-step explanation:
n+1>4
subtract 1 from both sides
n>3
that means n is greater than 3 so 3 is not a solution but everything higher than 3 is true.
Write the equation in slope intercept form y - 4=10(x-5)
Answer:
y= 10x - 46
Step-by-step explanation:
slope intercept form model: y=mx+b
Joyce paid $117.00 for an item at the store that was 35% off the original price. What was the original price? Round your answer to the nearest cent.
I just need the explanation.
Considering the definition of an equation and the way to solve it, the original price was $180.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values appear in addition to certain known data.
The solution of a equation means determining the value in which the equality must be true. To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.Original priceBeing "x" the original price, and knowing that:
Joyce paid $117.00 for an item at the store.The item was 35% (0.35 expressed as a decimal number) off the original price.The original price can be calculated through the equation:
x - 0.35x= 117
Solving:
(1 - 0.35)x= 117
0.65x= 117
x= 117 ÷ 0.65
x= 180
Finally, the original price was $180.
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Please help Expert and Above Only! I will double the points if you can explain it! Both questions please!
Problem 11
Answer: 339 square meters---------------
Work Shown:
The surface area of a 3D sphere is 4pi*r^2. So a hemisphere has surface area 2pi*r^2 since we cut the surface area in half.
Plug in r = 6 (half of the diameter 12) and we get 2pi*r^2 = 2pi*6^2 = 72pi
Now consider the circle with radius r = 6. Its area is pi*r^2 = pi*6^2 = 36pi
Add the two areas and we get 72pi+36pi = 108pi
Lastly, use your calculator to get 108pi = 108*3.1415926535898 = 339.292006587699 which rounds to 339
======================================
Problem 12
Answer: C) 19.5 mm---------------
Explanation:
Look at where the "0" in the bottom sliding portion lines up with the number scale above. That "0" is between 19 and 20 mm. So you could argue that 19.2 and 19.5 are both valid answers, but I think 19.5 is the better answer since the tickmark seems to be right in the middle (more or less).
Step-by-step explanation:
surface area of hemisphere =3πr²
=3*3.14(6)²
=339.12m²
diameter of pipe= 19.5mm
Your family goes to a Southern-style restaurant for dinner. There are 6 people in your family.
Some order the chicken dinner for $14 and some order the steak dinner for $17. If the total bill
was $99, how many people ordered each dinner?
Answer:
We conclude that:
The number of people who ordered the chicken dinner = 1The number of people who ordered the steak dinner = 5Step-by-step explanation:
Given that
Some order the chicken dinner for $14some order the steak dinner for $17.Total bill = $99Let 'n' be the number of people who ordered the chicken dinner.Let '6-n' be the number of people who ordered the steak dinner.Thus, the equation becomes
[tex]14n + 17(6-n) = 99[/tex]
[tex]14n + 102 - 17n = 99[/tex]
[tex]-3n = 99 - 102[/tex]
[tex]-3n = -3[/tex]
Divide both sides by -3
[tex]n = 1[/tex]
and
[tex]6-n = 6-1 = 5[/tex]
Therefore, we conclude that:
The number of people who ordered the chicken dinner = 1The number of people who ordered the steak dinner = 51. (8.2k - 6) - (4.5 – 9k)
2. (-3 + 2g) - (4 + 5g)
Answer:
a. [tex]= 17.2k - 1.5[/tex]
b.[tex]=-7 + 203g[/tex]
Step-by-step explanation:
Required
Simplify
[tex]1.\ (8.2k - 6) - (4.5 - 9k)[/tex]
Open bracket
[tex]= 8.2k - 6 - 4.5 + 9k[/tex]
Collect Like Terms
[tex]= 8.2k + 9k - 6 - 4.5[/tex]
[tex]= 17.2k - 1.5[/tex]
[tex]2.\ (-3 + 2g) - (4 + 5g)[/tex]
Open bracket
[tex]= -3 + 2g - 4 - 5g[/tex]
Collect Like Terms
[tex]=-3-4+2g - 5g[/tex]
[tex]=-7 + 203g[/tex]
A cash register must have at least $25 in change consisting of x dimes and y quarters. Write a linear inequality that represents the different numbers of dimes and quarters that can satisfy this requirement.
In addition, would 150 dimes and 40 quarters satisfy this requirement?
Answer:
150 has to be times 40
Step-by-step explanation:
150×40+25÷35=1
simplify (-63) divided by (-9)
Answer:
7
Step-by-step explanation:
-63/-9
7
5 1/2 x 1 1/2
using unit rate.
Simplify if possible.
Answer:
2 3/4
Step-by-step explanation:
this is the answer
arianne is taking a geometry course and is working with the area of triangles. she knows the area and the height but needs to find the base. rearrange the following equation for b, where a is the area, b is the base, and h is the height of the triangle. a
Base is 2 times A over height= [tex](base)=\frac{2Area}{height}[/tex].
Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure.
Area of a triangle is given by the formula;
[tex]A=\frac{1}{2} base * height[/tex]
Now, we need to solve for b. We multiply the right side, cross multiply, and follow rules of algebra to isolate b. Shown below:
[tex]A=\frac{1}{2} base*height\\A=\frac{bh}{2} \\2A=bh\\b(base)=\frac{2A}{h}[/tex]
Thus, Base is 2 times A over height= [tex](base)=\frac{2Area}{height}[/tex].
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Answer:
The answer is B
Step-by-step explanation:
10 POINTS For which equation would x = 4 be a solution?
A.4x + 7 = 23
B.4x ÷ 8 = 8
C.8 - 5x = 1
D.7 + 3x = 18
thank god for creating this beauty
Answer:
yesss
Step-by-step explanation:
PLEASE HELP ME!!!!! PLEASE I WANT TO GET THIS RIGHT
What is the price per pound for Fuji apples?
What is the price per pound for Golden Delicious apples?
What is the price per pound for Macintosh apples?
Answer:
Step-by-step explanation:
Fuji Apples: 7/6 = $1.16
Golden Delicious Apples: 1/0.75 = 100/75 = $1.33
Macintosh Apples: $2
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