Answer:
A. The parent function is the function with a graph that is different than all the other functions in the family.
Step-by-step explanation:
A parent function is simply a function that represents the simplest form of a family of functions.
Now, a family of functions is defined as a group of functions that share the same highest degree and therefore the same shape for their graphs.
Looking at the options, the only one that doesn't correspond to the definition of parent function with respect to family of functions is option A because it suggests that the parent function is different from the family functions. Thus, option A doesn't describe a parent function.
A train leaves at 17.22 and arrives at its destination at 18.14.
If the train travelled 56 km, what was it's average speed in km/h?
Give your answer rounded to 1 dp.
Answer:
48.5 km/h
Step-by-step explanation:
speed = distance/time
distance =56km
time = 1814h - 1722h
time = 52 min = 52/60h =13/15h
speed = 56*13/15
speed = 48.53
into 1dp= 48.5 km/h
Answer =
So first remember the formula:
Distance/Time= Speed.
Now you see how many minutes it is from 17:22 to 18:14.
17:22 > 18.14 = 52 minutes, 1 Hour = 60 minutes. Hence, 52/60.
Then you get your calculator and do, 56 km/ 52/60
So what I mean is basically 56 km *fraction line* 52 *another fraction line* and then 60 in your calculator. Then you will get a fraction then press SD in your calculator.
You should get 64.6153....
Now the final step is to round it to the 1st decimal place, so
64.6|153 after 64.6 is the first decimal place which is (1) and 1 is below 5 so it will not go up and therefore stay the same so, your Answer is: 64.6 km/h.
Hope it helped!
Also Guys I gave myself 1 rating lol by accident, and also the answer is right since I checked it with my seniors and teachers!
What is the domain and range
Answer:
Domain: [-4,5]
Range: [-3,5]
Step-by-step explanation:
the smaller of two numbers is 2 less than 1/3 the larger. the sum of the two numberrs is 50 what is the value of the numbers
The smaller number is 14 and the larger number is 36.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let the smaller number would be x
And the larger number would be y
Given that the smaller of two numbers is 2 less than 1/3 the larger
So x - 2 = (1/3)y ⇒ 3x - 6 = y
The sum of the two numbers is 50
So x + y = 50
Substitute the value of equation 3x - 6 = y in the above equation,
⇒ x + 3x - 6 = 50
⇒ 4x = 50 + 6
⇒ x = 56/4
⇒ x = 14
Substitute the value of equation x = 14 in the equation x + y = 50,
⇒ 14 + y = 50
⇒ y = 36
Hence, the smaller number is 14 and the larger number is 36.
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May someone help me out on this question?
Answer:
y = 2 for x < 0
x for 0 ≤ x < 3
3 for x ≥ 3
Step-by-step explanation:
From the graph attached,
Equation of line (1),
y = 2
Where x < 0
Let the equation of line (2) is,
y = mx + b
y-intercept 'b' = 0 [line (2) passes through origin]
Slope of the line 'm' = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{3}{3}[/tex]
= 1
Therefore, equation of line (2) will be,
y = x
where 0 ≤ x < 3
Equation of line (3) will be,
y = 3
Where x ≥ 3
Therefore, piecewise linear function will be,
y = 2 for x < 0
x for 0 ≤ x < 3
3 for x ≥ 3
Where should you plot the ordered pair (3,4) in relation to the origin?
Answer:
3 goes on the x acsis 4 goes on the y axsis
How can I obtain the graph of f(x) = -1/2(x + 2)^2 - 5 from the graph of g(x) = x^2? please show work
Answer:
read the full answer
Step-by-step explanation:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Horizontal Shift: Right 2 Units
Vertical Shift: Up 5 Units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: Stretched
TO VIEW GRAPH TRY M-A-T-H-W-A-Y
Question in image. :)
a. f(a) =5a+12
we have 1. a=6
Therefore, where ever we find a we'll substitute in 6
f(6) =5(6) +12
6f=30+12
6f=42
so therefore 1. a=6 will match c on the right
2. a=2
f(2) =5(2) +12
2f = 10+12
2f = 22
therefore 2. a=2 will match a on the right
3. a=4
f(4) =5(4) +12
4f=20+12
4f=32
therefore 3. a=4 will match d on the right
4. a=5
f(5) =5(5) +12
5f=25+12
5f=37
therefore 4. a=5 will match b on the right
Kelly is knitting a scarf for her brother. It took her 1/3 hour to knit 3/8 foot of the scarf. What is Kelly’s knitting speed, in feet per hour?
1. 1 1/8 per hour
2. 3 feet per hour
3. 2 1/2 feet per hour
4. 4 1/2 feet per hour
it's 1 1/8 per hour.
Step-by-step explanation:
if it takes 1/3 hour to get 3/8, then if you add 6/8 which is the other 2/3 hour. you get 1 1/8
Cal is packing his suitcase to go on a trip. He wants to pack 4 pairs of pants chosen from the 8 pairs of pants in his closet and 5 shirts chosen from the 9 shirts in his closet. In how many different ways can this be done?
Answer:
8820 ways
Step-by-step explanation:
Given that :
Selecting 4 pairs of pant from 8 available and selecting 5 shirts from 9 available
Using combination :
4 pants from 8 = 8C4
5 shirts from 9 = 9C5
Recall:
nCr = n! / (n-r)! r!
8C4 * 9C5 = [8! /(8-4)!4!] * [9! /(9-5)!5!]
8C4 * 9C5 = (8! /4!4!) * (9! /4!5!)
8C4 * 9C5 = 70 * 126
8C4 * 9C5 = 8820 ways
how do you do this ??? pls helpppp
Answer: m<2 = 83 degrees
Step-by-step explanation:
The sum of angles on a straight line= 180 degrees
97 + <2 = 180
<2= 180 -97
= 83 degrees
Question in image :)
Answer:
A
x=> -6 is the inequality that represents the answer best.
Please help stick on this !!!!!
Answer:
a) The new ordered pairs are X' (-3, -7), Y' (-2, -10), Z' (-5, -2)
b) The new ordered pairs are X' (6, 9), Y' (7, 12), Z' (4, 4)
Step-by-step explanation:
If the point (x, y) reflected across the x-axis, then its image is (x, -y), which means to reflect a point across the x-axis, change the sign of its y-coordinateIf the point (x, y) translated h units to the right and k units up, then its image is (x + h, y + k), which means add its x-coordinate by h and add its y-coordinate by k∵ X = (-3, 7), Y = (-2, 10), and Z = (-5, 2)
∵ The points reflected in the x-axis
→ Change the signs of the y-coordinates of the 3 points
∴ X' = (-3, -7), Y' = (-2, -10), and Z' = (-5, -2)
a) The new ordered pairs are X' (-3, -7), Y' (-2, -10), Z' (-5, -2)
∵ X = (-3, 7), Y = (-2, 10), and Z = (-5, 2)
∵ The points translated to be (x + 9, y + 2)
→ That means add the x-coordinates by 9 and y-coordinates by2
∴ X' = (-3 + 9, 7 + 2), Y' = (-2 + 9, 10 + 2), and Z' = (-5 + 9, 2 + 2)
∴ X' = (6, 9), Y' = (7, 12), and Z' = (4, 4)
b) The new ordered pairs are X' (6, 9), Y' (7, 12), Z' (4, 4)
A squirrel has stored its acorns in a hole that is 45 feet from the ground in a tall tree. The squirrel moved from a perch 100 feet above the ground to get to its stored acorns in 5.25 seconds. Interpret the quotient to describe the rate of change in the squirrel’s height above the ground. Give your answer to the nearest hundredth.
The quotient to describe the rate of change in the squirrel’s height above the ground is 27.619 feet per seconds to the nearest hundredth.
How to find the rate of change in the squirrel’s height above the ground.Given data
height below ground = 45 feet
height above the ground = 100 feet
time of travel = 5.25 seconds
Rate of change calculation
total distance moved by the squirrel = height below ground + height above the ground
= 45 feet + 100 feet
= 145 feet
rate of change = total distance / time of travel
= 145 feet / 5.25 seconds
= 27.619 feet per seconds
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Hurry please this is timed
Answer:
none
Step-by-step explanation:
they don't ever meet, so no solutions
And solutions in this case means where the 2 lines intersect, something parallel lines don't do
A store has 7 red shirts, 15 black shirts, 13 white shirts, and 5 green shirts. Select the portion of the shirts that are black. Mark all that apply. *
Answer:
8/5 portion of black shirt is there
YOU GET 60 POINTS!! Ronald rents a car from Cheap Rent-a-Car for $25 plus $0.05 per mile. Dixon rents a car from Great Cars for $40 plus $0.03 per mile. How many miles must they both drive for their rental fees to be the same?
Answer:
750 miles
Step-by-step explanation:
25+0.05x=40+0.03x
0.02x=15
x=750
Gabriel was given a gift card for a coffee shop. Each morning, Gabriel uses the card to
buy one cup of coffee. Each cup of coffee costs $4 and the original amount of money
on the gift card was $20. Make a table of values and then write an equation for A, in
terms of x, representing the amount money remaining on the card after buying x
cups of coffee.
Number of Cups of Coffee Amount of Money Remaining on Card
Answer: A =
What is the circumference of the circle below? (Round your answer to the nearest tenth)
Answer: B.
Step-by-step explanation: Remember, circumfrence is 2 pi r. multiply 6.1 and 2. That is 12.2. Then, use a calculator to multiply that to get approx 76.65. Round that up to 76.7.
Please help due in 10 minutes
+20 points if it’s right
Wrong answers will be blocked
Answer:
Step-by-step explanation: for the first picture
a, d,
second picture
1.DA = ZW
2. CB=YX
3. XY = BC
4. 8
sorry not sure about 5 and 6 though
HELP ASAP! I will give brainliest answer
Solve each equation and check the solution
1/3x + 2 = 1
0.75x - 0.5x = -3
0.4x - 0.75x + 0.5x = 3
Answer: 1/3x + 2 = 1 answer.) x=-3
0.75x - 0.5x = -3 answer.) y = 17
Step-by-step explanation:
;w;
A brand new TV bought on Black Friday was $599. The value of the TV
depreciates by 22% each year. When will the value of the TV be less than
$240?
which is the correct answer
Answer:
53
Step-by-step explanation:
AED reflects over so the values are the same
what would -3/4 look like as a slope?
Write an equation for the line in point slope form, that passes through the following points
(3,4) (6,10)
The equation pf a line in point slope form is as follows:
y - 4 = 2(x - 3)
How to find equation of a line in point slope form?The equation of a line in point slope form can represented as follows:
The line passes through (3, 4)(6, 10).
Therefore, the point slope form is as follows:
y - y₁ = m(x - x₁)
where
m = slopex₁ and y₁ are the coordinatesTherefore,
m = 10 - 4 / 6 - 3
m = 6 / 3
m = 2
Hence, the equation pf a line in point slope form is as follows:
y - 4 = 2(x - 3)
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1
What are the basic tools of Euclidean geometry?
Answer:
The straightedge and the compass. The name is due to the fact that connecting points with segments, prolonging segments and drawing circles with a given center and a given radius are the basic geometric constructions described in the first three Euclidean postulates.
Step-by-step explanation:
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1. The total cost of renting a movie depends on the number of days you kept the movie. The table below gives the total cost of keeping a movie for a certain amount of days. Use this data to answer the following
Answer:
2.25
Step-by-step explanation:
we should find the slope of table, bc question is that "find the rate of change" so pick up two any points
(3; 5.00)
(4; 7.25)
Formula of Slope:
[tex] \frac{y1 - y2 }{x1 - x2} [/tex]
[tex] \frac{5 - 7.25}{3 - 4} = 2.25[/tex]
Sarah is buying roses and carnations to make center pieces for prom, Roses, x, cos
$3 each and carnations, y, cost $1 each. She can spend no more than $75 on the
Flowers. Which graph represents the solution to the problem?
Answer: Third option.
Step-by-step explanation:
We have the variables:
x = number of roses that Sarah buys
y = number of carnations that Sarah buys.
Each rose costs $3, then the price for x roses is: x*$3.
Each carnation costs $1, then the price for y carnations is: y*$1.
The total price will be:
$3*x + $1*y
And she can spend no more than $75, then we have the inequality:
$3*x + $1*y ≤ $75
Writing this as a line, we have:
y ≤ 75 - 3*x
Then the graph of this will be:
A solid line with a negative slope and the shaded part will be below that line.
The value of y goes between 0 and 75.
The value x goes between 0 and the value of x such y = 0, this is:
y = 0 ≤ 75 - 3*x
3*x ≤ 75
x ≤ 75/3 = 25
Then the value of x goes between 0 and 25.
The correct option will be the third one.
The correct graph is option 3.
Given,
Sarah buys x no. of roses and y no. of carnations.
The cost of each roses be $3, so cost of x roses be 3 x .
And the cost of each carnations be $1, so cost of y carnations be y.
The total cost will be [tex]3x + y.[/tex]
But as given in question she can spend no more than $75, so we have the inequality [tex]3x + y \leq 75[/tex].
Writing the above equation as a line we have [tex]y\leq 75-3x[/tex].
So graph of above line will be a solid line with a negative slope and the shaded part will be below that line so the value of y goes in between 0 and 75.
Now, value of x when y is o will be calculated from [tex]y\leq 75-3x[/tex].
[tex]0\leq 75-3x[/tex]
[tex]3x\leq 75[/tex]
[tex]x\leq \frac{75}{3}[/tex]
[tex]x\leq 25[/tex]
Now we have values of x in between 0 and 25.
here we have y in between 0 and 75 with a negative slope and x in between 0 and 25. so the shaded part will be below that line goes in between 0 and 75 on y axis . option 3 has shaded part in between 0 and 75 on y axis so the correct option is 3.
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Use the information to answer the question.
The equation y = 30x represents the distance, y, in miles, a domestic cat can run after hours. The table shows the distance, y, in miles, a domestic dog can run after x
hours.
Time(in hours)
0.5
1
2
Distance(in miles)
17.5
35
70
Part A
Based on this information, which statement is true?
1.The cat and dog run the same distance every hour
2.The cat runs more miles per hour than the dog
3.The distances the dog and cat run every hour cannot be compared.
4.The dog runs more miles per hour than the cat
.
Answer:
An elk was clocked running 45 miles per hour. Which equation shows the relationship between the distance, y, and time, x, that the elk ran? ... 17 QuestionsShow answers. Question 1. SURVEY ... Which mapping diagram represents a relationship that is a function? ... The equation y = 30x + 50 gives the cost y after x months.
Step-by-step explanation:
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Maisie has saved up $50 to buy concert tickets, but the tickets cost $125. She is able to earn $15 per day by walking her neighbor’s dogs. How many days will Maisie have to walk the dogs to earn enough money to buy the tickets? Let d = the number of days worked.
What equation will you use to solve this word problem?
What equivalent equation can you write after combining like terms?
How many days will Maisie have to walk the dogs?
D=5
to make the $75 for the $125
Answer:
What equation will you use to solve this word problem?
✔ 50 + 15d = 125
What equivalent equation can you write after combining like terms?
✔ 15d = 75
How many days will Maisie have to walk the dogs?
✔ 5 days
Step-by-step explanation:
I got it right so hope this helped you and other people out :)
Hector knows there is a relationship between the number of cars and the time it takes him to was it
Wats the independent quantity and dependent quantity
The independent quantity is time and dependent quantity is number of cars washed .
Independent variables are variables that are manipulated or modified by the experimenter and are assumed to directly influence the dependent variable. For example, assign participants to a drug or placebo condition (independent variable) and measure changes in anxiety intensity (dependent variable). The dependent variable is the variable that is tested and measured in the experiment and is the "dependent". ' about the independent variable. An example of a dependent variable is depression symptoms that depend on the independent variable (type of treatment).In the given relation between the number of cars and the time .
The relationship between the number of cars he washes and the time it takes to wash those cars represents a proportional variation
Let y -----> number of cars he washes
x ------> time
The linear equation is y = kx
The independent variable is time x .
The dependent variable is the number of cars he washes, y .
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