Answer:
A linear parent function is the equation y = x or f(x) = x. A parent function is the simplest equation of a function. Thus, f(x) = x is the simplest of all linear functions and that is the reason why it is called linear parent function
Answer:
F(x) = x
Step-by-step explanation:
A line is of the form
x to the first power
1/x is not x to the first power and makes a curve
|x| makes a v shape
x^3 is a curve
Interpret the average rate of change of -14/3 that
you found previously. What does this mean in
terms of the waterslide, from x = 0 to x = 15?
Answer:
On average, the slide drops 14 feet for every 3 feet of horizontal distance.
On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.
On average, the slide drops 14 feet for every 3 feet of horizontal distance. On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.
What is the average rate of change?It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.
It is given in the question that Interprets the average rate of change of -14/3 that you found previously.
On average, the slide drops 14 feet for every 3 feet of horizontal distance. On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.
To know more about the average rate of change follow
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947/7 it is hard because it is confused
Answer:
135.2857142857143
Step-by-step explanation:
its right?
Answer:
7 x 1 = 1
9-7=2
7 x 3 = 21
24-21=3
7 x 5 = 35
37-35=2
135 remainder 2
Step-by-step explanation:
The chemicals in my swimming pool use a ratio of 5 tablets of chlorine for every 14 days. Which ratio shows the number of chlorine tablets needed for 42 days? A. 14 to 42 B. 15 to 42 C. 19 to 42 D. 3 to 42
Answer: B (15 to 42)
Step-by-step explanation:
In order to get from 14 to 42, you must multiply by 3 (42/14 = 3). So to get an equivalent ratio, you must also multiply 5 by 3.
5:14 = 5*3:14*3 = 15:42 (B).
Answer:
15 to 42.-B
Step-by-step explanation:
5 tablets for every 14 days
X3
15 tablets every 42 days
Noah gathered information on the home states of the swimmers on Team USA. He organized the data in a table. Would a dot plot be appropriate to display his data? Explain your reasoning.This dot plot shows the ages of students in a swimming class. How many students are in the class?
Based on the dot plot, do you agree with each of the following statements? Explain your reasoning.
The class is an adult swimming class.
Half of the students are between 2 and 3 years old.
Answer:
1. No; 2. 16; 3. No; 4. Yes
Step-by-step explanation:
1. Home states of Olympic swimmers
A dot plot compares frequency counts within groups, usually with small sets of data.
Thus, it is great for visualizing quantitative data.
Home states are qualitative data.
It might be better to use a packed bubble chart, especially if more than 20 to 30 states are on the team.
In such a chart, the frequency with which the state name is mentioned would determine the relative bubble size.
It might look like the imaginary chart shown below.
A dot plot would not be appropriate.
2. Number of students
No. of students = 2 + 1 + 2 + 3 + 2 +1 + 1 + 2 + 2 = 16
3. Is this an adult swimming class?
The ages of the students range from 18 mo to 32 mo.
This is not an adult swimming class.
4. Ages of half the students
Half of 16 students is eight students.
The eight oldest students range in age from 25 mo to 32 mo.
This is between the ages of 2 yr to 3 yr (24 mo to 36 mo), so
Half the students are between 2 yr and 3 yr old.
Answer:
(1. No) (2. 16) (3. No) (4. Yes)
Step-by-step explanation:
Hope this helps!!
9a. Which equation is set up correctly
to solve for x in the following
diagram?
7 + 18x
20.x - 5
1) 20x - 5+ 7 + 18x = 90
2) 20x - 5 + 7 + 18x = 180
3) 20 X - 5 = 7 + 18x
4) 20x - 5 + 7 + 18x = 360
Please help quickly I don’t understand
the cube has a side length of 0.8 meters
work out the total surface area of the cube
give your answer in square centimeters
show your working out
------------------------------------please help------------------------------------------------------------------------
Answer:
you go to the teacher and ask for help
Step-by-step explanation:
get up take paper toteacher and ask
What is the rule that describes the numbers in this pattern?
-10,000; -1,000; -100; -10; -1; -0.1; -0.01; -0.001
A Each number is 10 more than the number to its left.
B Each number is one-tenth the number to its left.
C Each number is one-tenth the number to its right.
D Each number is 10 times the number to its left.
Answer: C Each number is one-tenth the number to its right.
Step-by-step explanation: Just count the number to the right each time.
How many dimes are in $25.00
Answer:
250 dimes
Step-by-step explanation:
The graph below shows the distance in miles, m, hiked from a camp in h hours.
Which hourly interval had the greatest rate of change?
1) hour 0 to hour 1
3) hour 2 to hour 3
2) hour 1 to hour 2
4) hour 3 to hour 4
Answer:
Option 1) is correct
Step-by-step explanation:
Given: The graph shows the distance in miles, m, hiked from a camp in h hours.
To find: hourly interval that had the greatest rate of change
Solution:
Rate of change between two points refers to the vertical change divided by the horizontal change.
For hour 0 to hour 1:
rate of change = [tex]\frac{2-0}{1-0}=2[/tex]
For hour 2 to hour 3:
rate of change = [tex]\frac{4.5-3.5}{3-2}=1[/tex]
For hour 1 to hour 2:
rate of change = [tex]\frac{3.5-2}{2-1}=1.5[/tex]
For hour 3 to hour 4:
rate of change = [tex]\frac{5-4.5}{4-3}=0.5[/tex]
So, rate of change is greatest in interval: hour 0 to hour 1
The greatest rate of change between the interval 0 to 1 hour.
Given that,
The graph below shows the distance in miles, m, hiked from a camp in h hours.
We have to determine,
Which hourly interval had the greatest rate of change?
According to the question,
The greatest rate of change between the interval is determined by the rate of change between two points refers to the vertical change divided by the horizontal change.
1. The rate of change between 0 to 1 hours is,
[tex]\rm Rate \ of \ change = \dfrac{2-0}{1-0}\\\\ Rate \ of \ change= \dfrac{2}{1}\\\\ Rate \ of \ change= 2[/tex]
The rate of change between 0 to 1 hour is 2.
2. The rate of change between 2 to 3 hours is,
[tex]\rm Rate \ of \ change = \dfrac{4.5-3.5}{3-2}\\\\ Rate \ of \ change= \dfrac{1}{1}\\\\ Rate \ of \ change= 1[/tex]
The rate of change between 2 to 3 hours is 1.
3. The rate of change between 1 to 2 hours is,
[tex]\rm Rate \ of \ change = \dfrac{3.5-2}{2-1}\\\\ Rate \ of \ change= \dfrac{1.5}{1}\\\\ Rate \ of \ change= 1.5[/tex]
The rate of change between 1 to 2 hours is 1.5.
4. The rate of change between 3 to 4 hours is,
[tex]\rm Rate \ of \ change = \dfrac{5-4.5}{4-3}\\\\ Rate \ of \ change= \dfrac{0.5}{1}\\\\ Rate \ of \ change= 0.5[/tex]
The rate of change between 2 to 3 hours is 1.
Hence, The required greatest rate of change between the interval 0 to 1 hour.
For more details refer to the link given below.
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A car rental company charges x dollars to rent a truck, plus y dollars per kilometre. Find x and y if the rental charge is $90 for 100 km, and $110 for 150 km.
Answer:
X=50 dollars Y=0.4 dollars
Step-by-step explanation:
Starting with the two equations:
$90= X(truck cost)+ Y(cost per km)*100km
and
110=X+Y*150
we solve the first equation for X: X = 90-100Y
and plug X into the second equation: 110=90-100Y+150Y
add like terms: 20=50Y
so Y = 2/5 or .4
Plug Y into the first equation: 90= X+100(.4)
Evaluate: 90= 40+X so X= 50
Answer:
X = 50 dollars
and Y= o.4 cents
Step-by-step explanation:
Maria has a jewelry box and wants to increase its size. She decides she will double the length, width and height. How many times
bigger will the volume of the new box be?
2
3
5
8
Answer:
64 times bigger
Step-by-step explanation:
I will use random values for this explanation to make it more understandable.
Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.
The volume would be l*w*h = 1*1*1 = 1 cubic inch
If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.
4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.
Hope this answer helped! :)
Step-by-step explanation:
Twenty-two percent of the large pieces of mail that Rachel received this week were magazines and the rest were catalogs. Of the catalogs, 36 percent were for clothing. To the nearest whole percent, what is the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog? 8% 28% 46% 61%
Answer:
28%
Step-by-step explanation:
Given that
The calculation of probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog is shown below:-
Remaining of large pieces of mail were catalogs
= 100% - 22%
= 78%
Now, we will solve the equation to find out the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog
[tex]= \frac{36}{100}\times \frac{78}{100}\times 100[/tex]
[tex]= \frac{2,808}{10,000}\times 100[/tex]
= 28.08%
or
28%
Answer:
28%
Step-by-step explanation:
write (2a)^4 without exponents
Answer: 2a*4*4*4*4= x (Vote me brainliest please)
Step-by-step explanation: Exponents are simply telling you to multiply the base number or expression by that many times.
Answer:
[tex] = 16 {a}^{4} \\ [/tex]
Step-by-step explanation:
[tex](2a) ^{4} [/tex]
[tex]2a \times 2a \times 2a \times 2a \\ = 16 {a}^{4} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which of the following expressions can be factored by grouping? (Select all that apply.)
a^2 - 9 a + 7 ab + 63 b
3 a + 4 ab - b - 12
ab + 6 b - 2 a - 12
x^3 + 9 x^2 + 7 x + 63
ay^2 + a - y^2 - 1
Answer:
Options (3), (4) and (5)
Step-by-step explanation:
1). a² - 9a + 7ab + 63b
= a(a - 9) + 7b(a + 9)
Now we can not solve this problem further.
Therefore, can't be factored by grouping.
2). 3a + 4ab - b - 12
= a(3 + 4b) - 1(b - 12)
We can't solve it further.
Therefore, can't be factored by grouping.
3). ab + 6b - 2a - 12
= b(a + 6) - 2(a + 6)
= (b - 2)(a + 6)
We can be factored this expression by grouping.
4). x³ + 9x²+ 7x + 63
= x²(x + 9) + 7(x + 9)
= (x² + 7)(x + 9)
Therefore, the given expression can be factored by grouping.
5). ay² + a - y² - 1
= a(y² + 1) - 1(y² + 1)
= (a - 1)(y² + 1)
This expression can be factored by the grouping method.
Options (3), (4) and (5) are the correct answers.
Two less than the product of a number and -5 is -42.
Answer:
8
Step-by-step explanation:
(p*-5)-2=-42
-5p-2=-42
-5p=-42+2=-40
-5p/-5=-40/-5
=8
Which points are on the graph of f(x)=(1/3)^x?
Select each correct answer
1. (-1, -1/3)
2. (3, 27)
3. (-2, 9)
4. (0, 1)
Answer:
(0,1)
Step-by-step explanation:
Mrs. Jacobsen asked her students to write a word problem that describes the graph below. Which word problem accurately describes the graph?
a. Jamie has $8, and she pays $2 per day to ride the bus.
b. Melinda has $4 and earns $2 allowance per day doing chores.
c. Carrina has $8, and she earns $2 per day babysitting.
d. Louise has $4, and she pays $2 per day for school lunch.
Answer:
The answer is a. Jamie has $8, and she pays $2 per day to ride the bus.
Step-by-step explanation:
When looking at the graph, you can see that you start with $8. You lose $2 per day. That is why you are losing money per day.
Answer:
A
Step-by-step explanation:
When you look at the graph you can see the she originally has $8, and then her mone decreases by 2 a day, which is due to bus ride fees.
A carnival charges $7 to enter the carnival and $3 per ride. How many rides can you go on if you have a $50 bill?
Equation:
Answer:
you can go on 6 rides if you have $50
Step-by-step explanation:
50-7= 43
43/7= about 6
What is the FIRST step in solving this equation? 4x + 6 = 20 *
Answer:
Subtract 6 from each side
Step-by-step explanation:
4x + 6 = 20
Subtract 6 from each side
4x + 6 -6= 20 -6
4x = 14
Answer:
[tex]subtract \: \: \: 6 \: \: \: from \: \: each \\ side \: \\ [/tex]
Step-by-step explanation:
[tex]4x + 6 = 20 \\ subtract \: \: \: 6 \: \: \: from \: \: each \\ side \: \\ 4x = 20 - 6 \\ 4x = 14 \\ \\ [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the volume of a triangular prism that is 6 inches high with a base area of 12 square inches? *Remember: Volume is the area of the base multiplied by the height.
A. 72 in3
B. 60 in3
C. 18 in3
D. 62 in3
Answer:
A. 72
Step-by-step explanation:
Since the volume of a figure is the area of the base multiplied by the height, the volume of this one is 12*6=72 cubic inches, or answer choice A. Hope this helps!
Answer:
A would be the right answer :)
Step-by-step explanation:
which of these can be rewritten as an exact answer without the square root symbol? √4 √125 √0.6 √12.35 Thank you :)
Answer:
[tex]\sqrt{4}[/tex]
Step-by-step explanation:
Because
→ [tex]\sqrt{4}[/tex] is equal to 2
→ [tex]\sqrt{125}[/tex] is equal to [tex]5\sqrt{5}[/tex] or 11.18033989
→ [tex]\sqrt{0.6}[/tex] is equal to [tex]\frac{\sqrt{15} }{5}[/tex] or 0.7745966692
→ [tex]\sqrt{12.35}[/tex] is equal to 3.514256678
Answer:
√4
Step-by-step explanation:
√4 = 2
The other ones can only be approximated:
√125 = 5√5 ≈ 11.18033
√0.6 ≈ 0.774597
√12.35 ≈ 3.51426
Identify the independent and dependent quantities in each problem solution then write a function to represent a problem situation :
Nathan is riding the scooter at a rate of 6 miles per hour
Answer:
independent: riding the scooter
dependent: miles ridden
function: y=6x
Step-by-step explanation:
Answer:
independent: riding the scooter
dependent: miles ridden
function: y=6x
Step-by-step explanation:
If the line segment AB is on a number line, and point A is at 4 and Point B is at 19, then the length of AB is ____. Select one: a. 15 b. - 15 c. 23 d. 12
Answer: 15
Step-by-step explanation:
If two points are together, then you subtract the numbers to get the distance
19 - 4 = 15
Natalie has two number pyramids each labeled 1 to 4. Natalie is going to conduct an experiment by tossing both pyramids a total of 96 times. She will find the difference of each pair of numbers rolled by subtracting the lesser number from the greater number.
a. How many possible outcomes are there? _________________
b. How many times should Natalie toss a difference of 1? ______________
c. How many times should Natalie toss a difference of 0?
Answer:
The answer would be A. 1 1/5
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
Step-by-step explanation:
Somebody please help me
Answer:
I believe it's 4,080
Step-by-step explanation:
you just add the two numbers
Answer:
4,080
Explanation:
Add how many feet she was when she started to how many feet she hiked.
959 + 3,121
4,080
Therefore, her elevation is now 4,080 feet above sea level.
y=a(x-r)(x-s) what is a and r and s ?
Answer:
The constant a is the scale factor on the parabola; positive a makes a CUP (concave up), which is the usual orientation. Negative a makes an upside-down parabola. Big a (in absolute value) makes a skinny parabola, small a a wider one.
r and s are the zeros of the quadratic function, the values of x that give y=0.
Answer:
a , r, s , x all are variables
This year,a small business had a total revenue of 89,100. If this is 32% more than their total revenue the previous year, what was their total revenue the previous year
Answer: 60588
Step-by-step explanation:
= 89100 x 0.68
= 60,588
hhhhhhhhhhheeeeeellllllllpppppp
Answer:
9(3+4)
Step-by-step explanation:
27+36
Factor out 9
9*3 + 9*4
9(3+4)
Answer:
9(3+4)
Step-by-step explanation:
First, list all the factors of the two numbers. Factors are numbers that evenly divide into a number.
Factors of 27: 1, 3, 9, 27
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Now, find the GCF. The GCF is the largest factor both numbers share. In this case, the GCF is 9.
Now, find the equivalent expression.
27+36
Distribute out a 9. Divide both numbers inside the parentheses by 9.
9(27/9+36/9)
9(3+4)
Simplify x^2-9/x^2+x-12
Answer: \frac{x+3}{x+4}
Step-by-step explanation:
\frac{x^2-9}{x^2+x-12}
\frac{(x+3)(x-3)}{(x+4)(x-3)} =\frac{x+3}{x+4}
Answer: x⁴+x³-12x²-9/x²
