A. {(1,2) , (-3,2), (4,-1), (2,1), (2,3)}
B. {(-3,1), (4,2), (3,-1), (2,-4)}
C. {(4,2), (4,-1), (3,-2), (1,4), (-2,4)}
D. {(3,-2), (-3,2), (5,-2), (-1,-1)}
Function is something like domain mustn't have the same value in a single set. For example,
{(1,2), (3,4), (5,9)} This is Function because in a single set, none of the domains (x value) are the same. (Domain is the set of x, so the domains are 1,3 and 5)
{(1,2), (1,5), (2,9)} This is NOT Function because in a single set, 2 orders (1,2) and (1,5) both have same domain (x value) and that is both x = 1.
For the A, It's not function because of (2,1) and (2,3)
For the B. It's function because all x values (domain) are different. (they mustn't be the same value or else it won't be function)
For the C, Not function because of (4,2) and (4,-1)
For the D, it's function.
-4x+-3=17
what is the answer
Answer:
x = -5
Step-by-step explanation:
-4x + -3 = 17
-4x - 3 = 17
-4x - 3 + 3 = 17 + 3
-4x = 20
-4x/-4 = 20/-4
x = -5
Hope this helps!
Answer:
x=-5
Step-by-step explanation:
-4x+-3=17
First add 3 to both sides.
-4x=20
Then divided by -4
Note: Negatove divided by postive is negative.
20÷(-4) = -5
So.
x=-5
A boy moves down the hall at 1.2 m/s. When he sees his arch nemesis coming, he begins to run. After 3.2 s, he is moving at 4.4 m/s. What is his acceleration?
Answer:
1m/s²
Step-by-step explanation:
Acceleration is the change in velocity of a body with respect to time.
Acceleration = Change in velocity/time
Acceleration (a) = final velocity(v)-initial velocity(u)/time(t)
Given parameters:
final velocity v = 4.4m/s
initial velocity u = 1.2m/s
time taken = 3.2s
Required
Acceleration
Substitute the given parameters into the formula to get the acceleration
Acceleration = 4.4 - 1.2/3.2
Acceleration = 3.2/3.2
Acceleration = 1m/s²
Therefore the boy acceleration is 1m/s²
What is the constant term of 4x-2y+3
Answer:
3
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
constant: a number that has no variable bounded to it (very lonely number)
---------------------
4x-2y+3
constant: 3 (it does not have any variable)
Hope this helps!! :)
Please let me know if you have any question or need further explanation
Which of the following is equivalent to (2a2-6ab2+4b2)-(-a2+2ab-2b2
Answer:
Step-by-step explanation:
2a^2 - 6ab^2 + 4b^2 + a^2 - 2ab + 2b^2
3a^2 - 6ab^2 + 6b^2 - 2ab
In the diagram, NQ is a diameter of R, mMN= (6x+33), and mNP= (5+10x). Find mMP
Answer:
MP=150
Step-by-step explanation:
MP= MN+NP
6x+33=5+10x ( NQ is the diameter)
33-5=10x-6x
28=4x
x=28/4=7
MP= MN+NP
MP=6(7)+33+5+10(7)
MP=42+38+70
MP=150
Solve and Explain what the equation states. E=mc2 what does this state?
Answer:
Energy=Mass * the speed of light^2
Step-by-step explanation:
I'm not to sure how to explain this but I'll try my best.
Albert Einstein discovered this equation, E=mc^2.
The equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing.
You could probably search up better explanations, tell me if this helps.
Solve by factoring:
5x^2 + 19x + 12 = 0
When solving polynomial equations, first set the equation
equal to zero, then check for a Greatest Common Factor.
Since there is no greatest common factor, this will make life a
little bit more difficult because we will have to factor the trinomial.
First, find all possible factors for constant term.
I have listed these in red below.
Make sure to reverse the factors since in each binomial,
the first term is different so we need to reverse the factors.
The factors of 5x² will just be 5x and z.
After finding factors for the constant and the leading
coefficient for your trinomial, we can eliminate some factors.
If you have an odd coefficient on the middle term,
you can eliminate any pairs of even factors.
So the group I crossed out in purple below will be eliminated.
Another strategy is to use factors a little closer together.
So I would go with the 4 and 3 group.
Surely enough, our trinomial does factor with the 4 and 3.
Now set the factored trinomial equal to 0.
Then use zero product property and you have your answer.
Answer:
-0.27
Step-by-step explanation:
5x^2=25x
25x+19x=44x
44x+12=0
-12=0-12
44x=-12
44x/44=-12/44
x=-0.27
the quotient of 8 and the cube of a number
Answer: [tex]\frac{8}{n^{3} }[/tex]
Step-by-step explanation:
the quotient of 8 and the cube of a number is 8 divided by the number cubed where n is the number.
7) Tom is deciding whether or not he should become a member of the gymſto use their basketball courts. The
membership cost is $135. Members pay $2 to rent out the basketball courts. Non-members can rent the court also, but
they have to pay $11 each time. How many times would Tom need to rent the court in order for it be cheaper to be a
member than a non member?
Answer:
15 times for it to be equal, 15+ to be cheaper
Step-by-step explanation:
135+2x=11x
135=9x
135/9=x
15=x
135+2(15)=165$
11(15)=165$
Answer:
16 times
Step-by-step explanation:
Create an inequality where x represents the number of times he rents out the court:
2x + 135 < 11x
Solve for x:
135 < 9x
15 < x
So, Tom would have to rent the court out 16 times for it to be cheaper
What are some objects that could be used to represent points, lines, and planes?
Answer:
Examples of a plane would be: a desktop, the chalkboard/whiteboard, a piece of paper, a TV screen, window, wall or a door. Examples of lines would be:
To solve such examples of we need to know about points, lines, and planes.
PointA Point can be described as an exact location in space but it has no size. A point is represented by a dot which shows the point in pictures and diagrams.
In the diagram, a line is represented by a capital letter with an arrow on the letters, such as [tex]\underset{AB}{\rightarrow}[/tex].
The examples of a point are a ball, a ball bearing, pin location on a map, etc.
LineA line is drawn when an infinite number of dots are connected together in both directions extended forever.
Examples of a line are a thread string, a wire, etc.
PlaneA plane is drawn when an Infinitely number of intersecting lines extend forever in all directions.
In the diagram, a point is represented by a dot with capital letters.
Examples of a plane are a blackboard, a movie screen, etc.
Learn more about point, lines, and plane:
https://brainly.com/question/1887287
Tia equally shares 8 cookies among 4 friends. Which fraction shows how many cookies each person gets.
Answer:
8/5 because there are 5 people and 8 cookies
and the cookie monster is here too
#1) Select the lie from the dropdown below.
All real numbers are
whole numbers.
All whole numbers are real numbers
All integers are rational
numbers.
Answer: All real no. are whole no.
Step-by-step explanation:
Because real no. consists of both rational and irrational no. but whole no. consists of only positive no, i.e. 0,1,2,3,.....
What is the first step to take in this problem? 7-24-8x4+6*? Subtract 24, divide 8, multiply 4, or, add 6?
A cookie shop offers 6 varieties of cookies and bakes 5 dozen of each kind every day, from Monday through Friday. How many cookies are baked in four weeks?
Answer:
7,200 pieces are baked in four weeks
Step-by-step explanation:
Here in this question, we are interested in knowing the number of cookies baked in four weeks.
Okay, here we know that there are 6 varieties with 5 dozen of each kind baked everyday.
A dozen is 12 , this means that 5 dozens will be 5 * 12 = 60
Now, 60 pieces of each variety is baked per day. The total number of cookies baked per day is thus 60 * 6 = 360 pieces
Now, a week is just 5 days here. Since we are not considering weekends. Now, the number of days in 4 weeks will be 4 * 5 = 20 days
Since 360 pieces are baked in a day and we have the baking for 20 days in four week, the number of cookies baked is simply the product of the number of pieces and the number of days.
That will be 20 * 360 = 7200 pieces
6x + 2x - 9 = 7
Solve the equation and simplify the answer
Answer:
x=2
Step-by-step explanation:
6x+2x-9=7
Combine like terms on each side of the equation
8x-9=7
Add 9 to each side
8x=16
Divide by 8 on each side
x=2
Simplifying
6x + -2x + -9 = 7
Reorder the terms:
-9 + 6x + -2x = 7
Combine like terms: 6x + -2x = 4x
-9 + 4x = 7
Solving
-9 + 4x = 7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 4x = 7 + 9
Combine like terms: -9 + 9 = 0
0 + 4x = 7 + 9
4x = 7 + 9
Combine like terms: 7 + 9 = 16
4x = 16
Divide each side by '4'.
x = 4
Simplifying
x = 4
Step-by-step explanation:
quick it is due in 30 mins plz do quick
Answer:
1. 69°
2. 97°
3. 145°
4. 150°
5. 128°
6. 74°
Step-by-step explanation:
To find the angle measure of the missing angle, we have to note that the angle measures of a quadrilateral will all equal up to be 360°.
If we know 3 out of the 4 angles and the sum of the angles, we can add up the angles we know then subtract that from 360.
Number 1:
[tex]87+112+92=291[/tex]
[tex]360-291=69[/tex]
Number 2:
[tex]124+71+68=263[/tex]
[tex]360-263=97[/tex]
Number 3:
[tex]95+46+74=215[/tex]
[tex]360-215=145[/tex]
Number 4:
[tex]72+49+89=210[/tex]
[tex]360-210=150[/tex]
Number 5:
[tex]69+65+98=232[/tex]
[tex]360-232=128[/tex]
Number 6:
[tex]77+123+86=286[/tex]
[tex]360-286=74[/tex]
Hope this helped!
A cone of radius 10 cm and height 16 cm is divided into two parts by a plane through the midpoint of its
axis parallel to its base. Find the ratio of the volumes of the two parts?
Answer:
The ratio of their volumes (the top to bottom half) is 1/7
Step-by-step explanation:
The given parameters are;
The radius, r, of the cone = 10 cm
The height of the cone = 16 cm
The point at which the cone is divided = The midpoint of the its axis and parallel to its base
The ratio of the of the volume of the two parts is given as follows;
The volume, V of the entire cone = 1/3 × Base area (π·r²) × Height, h
Therefore;
V = 1/3 × π × 10² × 16 =1600·π/3 = 1675.52 cm³
The height at which the cone is divided = 16/2 = 8 cm
The height, h₁ of the uppermost divided cone = 8 cm
The ratio of the radius to the height of the cone = 10/16 = 5/8
The radius r₁, of the uppermost divided cone = The height of the uppermost divided cone × The ratio of the radius to the height of the cone
∴ r₁ = 8 × 5/8 = 5 cm
The volume, V₁, of the uppermost divided cone = 1/3 × (π·r₁²) × h₁
∴ V₁ = 1/3 × π × 5² × 8 = 200·π/3 = 209.44 cm³
Which gives;
The volume of the lower cone, V₂ = V - V₁
V₂ = 1675.52 cm³ - 209.44 cm³ = 1400·π/3 = 1466.1 cm³
The ratio of their volumes V₁ : V₂ = V₁/V₂ = (200·π/3)/(1400·π/3) = 209.44/1466.1 = 1/7.
If b=4 and c=5, what is the value of bc+b-c
Answer:19
Step-by-step explanation: you would do 4x5 thats 20 then you would subtract one becasue 4-5=-1
Mila spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -1.6°F. Between 9am and noon, the temperature rose 6.6°F. Between noon and 3pm, the temperature increased by 2.8°F. Between 3pm and 6pm, the temperature went down 10.5°F. What was the temperature at 6pm?
We can conclude the following information:
Every 3 hours the temperature changes.
At 9 AM, the temperature was -1.6°F:
9 AM = -1.6°F =>
Between 9 AM and noon, the temperature rose 6.6°F:
12 PM = -1.6 + 6.6 = 5°F =>
Between noon and 3 PM, the temperature increased by 2.8°F:
3 PM = 5 + 2.8 = 7.8°F =>
Between 3 PM and 6 PM, the temperature went down 10.5°F:
6 PM = 7.8 - 10.5 = -2.7°F
What was the temperature at 6 PM?
-2.7°F
(15 points and brainliest) If x = 0 and y < 0, where is the point (x, y) located? A. on the x axis B. on the y axis
Answer:
On the y axis
Step-by-step explanation:
If x is zero, it automatically has to be on the y axis because x=0 is where the x and y axis intersect.
Scale factor of A to B is 1:2
The value of x = 10 and y = 6 if the scale factor of A to B is 1:2.
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.
We have been given that the scale factor of A to B is 1:2.
Here one length of triangle A is 5 inch
For finding y, we have to divide 12 by 2
⇒ x = 12/2 = 6 inch
Here one length of triangle B is 12 inch
For finding x, we have to multiply 2 to 5
⇒ y = 2×5 = 10 inch
Therefore, the value of x = 10 and y = 6.
Learn more about the Scale images here:
brainly.com/question/13194929
#SPJ2
Evaluate: p+2c +3f+6t when p= 15, c=7, f = -3, and t= 1.
The decimal expansion of the rational number 97/2x5^4 will terminate after:
(a) one decimal place
(b) two decimal places
(c) three decimal places
(d) four decimal places
Sherie bought a beach towel that normally costs $44 but was on sale for half price. She also bought a beach hat that was on sale for $12 off. Before tax, her total cost was $38. What was the regular price of the beach hat?
$22
$28
$48
$56
Answer:
$28
Step-by-step explanation:
The towel was $44 but at 1/2 off would be $22.
Her total cost was $38 so we subtract $22 from $38 to find how much she paid for the beach hat.
$38-$22 = $16
We add $12 to $16 to find the original price of the hat.
$16+$12 = $28
Answer:
$28
Step-by-step explanation:
In a lab a 30% acid solution is being mixed with a 5% acid solution to create a 10% acid solution. What is the ratio of the amount of the 30% solution to the amount of 5% solution used to create the 10% solution
Answer:
1:4
Step-by-step explanation:
Let it be:
30% solution = x5% solution = ythen
10% solution = x + y----------
Amount of acid:
0.3x + 0.05y = 0.1(x+y)0.3x + 0.05y = 0.1x + 0.1y0.2x = 0.05y20x = 5y4x = yx/y = 1/4So the ratio of 30% solution to the 5% solution is 1:4
Answer:
1 : 4
Step-by-step explanation:
For a problem of this nature, a simple diagram makes the solution trivially easy. In the attached, the constituent concentrations are listed on the left, the solution concentration is in the middle, and the numbers on the right are the differences along the diagonals. These are the ratios of the respective solutions on the left.
That is, the ratio of 30% solution to 5% solution is 5 : 20 or 1 : 4.
Solve for y. 10(30x - 5y)= -40y +600 a) y=1/3 x +6.67 b) y=3x + 595 c) y=10x +60 d) y=30x-60 I think it's d but im so dumb-
Answer:
d is correct
Step-by-step explanation:
Given
10(30x - 5y) = - 40y + 600 ( divide both sides by 10 )
30x - 5y = - 4y + 60 ( add 5y to both sides )
30x = y + 60 ( subtract 60 from both sides )
30x - 60 = y → d
change 37/7 to mixed fraction
Answer:
5 2/7
Step-by-step explanation:
First, we can find how many whole 7's would fit into 37.
We find that five 7's fit into 37.
5*7=35
37-35=2
So, our mixed number is 5 2/7
Help me I will give brainliest to you, help me
Answer:
1) 46 cases to 1 min
2) 50 cans to 1 min
3) Cans are made faster
Step-by-step explanation:
1) 2 min per 92 cases so that's 2/2 and 92/2 which is 1 to 46
2) Now canned juice is as it shows in the graph as 50 cans per min.
3) 50 cans can be made in a min while only 46 cases can be made in a min.
Q Search
Performance Task
Navigation
Have you ever wondered how sailors navigated the oceans before the Global Positioning
System (GPS)? One method sailors used is called dead reckoning. How does deal
reckoning use mathematics to track locations? Could you use this method today?
1. In nautical navigation, it is common practice to use angle measures in degrees,
distances in nautical miles, and speed in knots (nautical miles per hour). The
relationship between miles per hour and knots is linear. (1 knot = 1.15078 mi/h)
Use this relationship to complete the chart to the nearest tenth of a mile.
knots
mi/h
5 knots
mi/h
10 knots
mi/h
Answer:
knots mi/h
5 knots 5.7539 mi/h
10 knots 11.5078 mi/h
Step-by-step explanation:
Given
knots mi/h
5 knots _mi/h
10 knots _mi/h
Required
Fill in the gap
From the question, we understand that
[tex]1 knot = 1.15078mi/h[/tex]
Solving (a): 5 knots
Recall:
[tex]1 knot = 1.15078mi/h[/tex]
Multiply both sides by 5
[tex]5 * 1 knot = 1.15078mi/h * 5[/tex]
[tex]5\ knots = 1.15078mi/h * 5[/tex]
[tex]5\ knots = 5.7539\ mi/h[/tex]
Solving (b): 10 knots
Recall:
[tex]1 knot = 1.15078mi/h[/tex]
Multiply both sides by 10
[tex]10 * 1 knot = 1.15078mi/h * 10[/tex]
[tex]10\ knots = 1.15078mi/h * 10[/tex]
[tex]10\ knots = 11.5078mi/h[/tex]
Hence; The complete table is
knots mi/h
5 knots 5.7539 mi/h
10 knots 11.5078 mi/h
Question is in the picture pls help
Answer: y = 60x, choice D
=================================================
Explanation:
1 hour = 60 miles ... one way to represent the speed of 60 mph
x hours = 60x miles ... multiply both sides by x
After x hours, the cheetah has ran 60x miles. This is assuming the speed is kept the same at 60 mph.
The information about the 50 yards is never used. It's likely thrown in there as filler or as a distraction.