lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100x, where x represents the number of years after 2000.
Which of the following is the most reasonable domain and range for the function?
Answers
Answer:A
Step-by-step explanation:A
The most reasonable domain and range for the function is x≥0, y≥0. Therefore, option B is the correct answer.
The given function is f(x) = 3000 + 100x.
We need to find which of the following is the most reasonable domain and range for the function.
What is the domain and range of the function?The domain and range are defined for a relationship and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:
Domain = the set of all x-coordinates = {1, 2, 3, 4}
Range = the set of all y-coordinates = {2, 3}
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: (-∞, ∞) {x|x∈R}
Range: (-∞, ∞) {y|y∈R}
The most reasonable domain and range for the function is x≥0, y≥0. Therefore, option B is the correct answer.
To learn more about the range and domain visit:
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Related Questions
A train covers the distance between two cities A and B at 70km/h during certain time. If it goes 10km/h faster, it will cover the same distance in one hour less. Find the distance between the two cities and the time it takes to do the first trip
Answers
Answer:
distance between 2 cities is 490km
time taken for first trip is 7 hours
Step-by-step explanation:
speed. time
70 x
10. 1
= 10x =70*1
x=70/10
=7 hours
distance= speed*time
=70*7
=490km
Marni recorded the cost of different weights of apples and made a scatter plot of her data!
There are four question on there !!
Answers
Given:
The scatter plot and trend line.
To find:
Type of association, slope, equation of trend line and average cost of apple per pound.
Solution:
Form the given graph it is clear that the trend line passes through the two points (0,0) and (12,24).
Slope of trend line is
[tex]m=\dfrac{24-0}{12-0}[/tex]
[tex]m=\dfrac{24}{12}[/tex]
[tex]m=2[/tex]
Slope of trend line is positive. It means, it represents positive correlation.
So, the type of association of the scatter plot is positive association.
Therefore, the slope of trend line is 2.
The trend line passes through (0,0) have slope 2, so the equation of the trend line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-0=2(x-0)[/tex]
[tex]y=2x[/tex]
Therefore, the equation of trend line is [tex]y=2x[/tex].
Slope of the line is 2.
Therefore, the average cost of apples per pound is $2.
What is the median?
59
65
56
60
55
54
62
66
68
Answers
Answer:
The answer is 60
Step-by-step explanation
54
55
56
59
60 The middle number
62
65
66
68
Answer:
60
Step-by-step explanation:
"Median in the middle"
put the set of numbers in order from least to greatest. If you end up having an even amount of numbers in the set, you add the two numbers in the middle then divide by 2 to find the median.
54, 55, 56, 59, 60, 62, 65, 66, 68
55, 56, 59, 60, 62, 65, 66
56, 59, 60, 62, 65
59, 60, 62
60
Which statement best describes the behavior of the graph of 3x − 4y = 8?
A. The graph is a vertical line.
B. The graph is a horizontal line.
C. The graph is rising as x increases.
D. The graph is falling as x increases.
Answers
-4y = -3x + 8
y = 3/4x - 2
Since there is a positive slope, the line is increasing
Solution: C
Answer:
I don't know the question answer surely but I think that A is the correct one
the perimeter of a triangle is 29cm. the three sides lengths (all measured in cm) of the triangle are 8, 12 and x. Write and solve an equation to find x.
Answers
Step-by-step explanation:
We have 8 + 12 + x = 29.
Solving, we get x + 20 = 29, x = 9.
Answer:
9 cm
Step-by-step explanation:
The perimeter of a polygon is the sum of the lengths of all the sides of the polygon.
If a polygon is a triangle, and its 3 sides have length a, b, and c, then the perimeter is the sum of a, b,, and c.
perimeter = a + b + c
Here, the perimeter = 29 cm
The lengths of the sides are a = 8 cm, b = 12 cm, c = x.
8 + 12 + x = 29
x + 20 = 29
x = 9
Answer: 9 cm
The inequality below compares two rational numbers. -8/18 > -17/27
Answers
Answer:
I have provided it below
Step-by-step explanation:
- 8/18 > - 17/27
- 0.444444 > 0.62963
So this inequality is TRUE
Hope this helps!!
What is the greatest perfect square of 864
Answers
Answer:
144
Step-by-step explanation:
the factors of 864 are 1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
the underlined are perfect squares
144 is the biggest
how do you know this pile of laundry is a mmixture
plz help
Answers
Answer:
The clothing items in it like pant shirts etc. or if it's just a load of shirts.
Step-by-step explanation:
Jeffery and carrie deposit 800.00 into an savings account which earns 4%interest compounded quarterly they want to use the money in the account to go on a trip in 2 years how much will they be able to spend
Answers
Answer:
866.29Step-by-step explanation:
Deposit = 800Interest rate = 4% compounded quarterlyTime = 2 yearsNumber of compounds:
2 / 1/4 = 8Saving amount at the end of 2 years:
800*(1 + 0.04/4)^8 = 866.29the mean (average) of three boys is 40 pounds. one of the boyd weighs 50 pounds. the other two boys have the same weight. find weight of each of the boys
Answers
Answer:
35, 35, and 50
Step-by-step explanation:
50 + x + x = n
n ÷ 3 = 40
n = 40 x 3
n = 120
50 + 2x = n
50 + 2x = 120
2x = 120 - 50
2x = 70
2x/2 = 70/2
x = 35
To check:
35 + 35 + 50 = 120
120 ÷ 3 = 40
Hope this helps
Answer:
35
Step-by-step explanation:
let us take each boy's weight as x
therefore,
average = [tex]\frac{x+x+50}{3\\}[/tex]
40 = [tex]\frac{x+x+50}{3\\}[/tex]
40 x 3 = x + x + 50
120 - 50 = 2x
70 = 2x
2x = 70
x = [tex]\frac{70}{2}[/tex]
x = 35
So weight of each boys is 35.
In which of the options below will the number 3 correctly fill in the blank. Select all that apply. A) ___ : 4 = 12 : 16 B) 1 : 5 = ___ : 15 C) ___ : 1 = 12 : 3 D) 15 : ___ = 3 : 1
Answers
Answer:
A and B
Step-by-step explanation:
Given
List of given options
Required
Which will correctly take 3 to fill the blank
Represent the blanks with x
Option A:
[tex]x : 4 = 12 : 16[/tex]
Convert to fractions
[tex]\frac{x}{4} = \frac{12}{16}[/tex]
Multiply through by 4
[tex]4 * \frac{x}{4} = 4 * \frac{12}{16}[/tex]
[tex]x = \frac{48}{16}[/tex]
[tex]x = 3[/tex]
Option B:
[tex]1 : 5= x : 15[/tex]
Convert to fraction;
[tex]\frac{1}{5} = \frac{x}{15}[/tex]
Multiply through by 15
[tex]15 * \frac{1}{5} = \frac{x}{15} * 15[/tex]
[tex]15 * \frac{1}{5} = x[/tex]
[tex]3 = x[/tex]
[tex]x = 3[/tex]
Option C:
[tex]x : 1 = 12 : 3[/tex]
Convert to fraction
[tex]\frac{x}{1} = \frac{12}{3}[/tex]
[tex]x = 4[/tex]
Option D
[tex]15:x = 3:1[/tex]
Convert to fraction
[tex]\frac{15}{x} = \frac{3}{1}[/tex]
Cross Multiply
[tex]3 * x = 15 * 1[/tex]
[tex]3 * x = 15[/tex]
Divide through by 3
[tex]x = 5[/tex]
From the above calculations.
Option A and B can be filled with 3
A baker made 36 blueberry muffins on Monday. what percent of the total number of muffins were blueberry if the baker made 90 muffins?
_% of the total muffins were blueberry
Answers
Answer:
32%
Step-by-step explanation:
Kira owes her mom $125 and is planning to to payer back with payments $7 a week. Write an equation in slope-intercept form that models this situation.
Answers
Answer:
y = 17(7) + 6
Step-by-step explanation:
Given that:
Amount owed = $125
Payment per week = $7
Number of whole weeks to pay :
$125 / $7 = 17.85 = 17 whole weeks
$125 - (17 * 7) = $125 - $119 = $6
Using slope intercept notation :
y = mx + c
Where m = slope ; c = intercept. ;
m = 17,; x = $7, c = $6
y = 17(7) + 6
least to greatest, 45%, .46, 11/25
Answers
Answer:
46, 11/25, 45%
Step-by-step explanation:
[tex]x^a=y^b=z^c \\xyz=1\\ab+bc+ca=?[/tex]
Answers
Answer:
ab+bc+ca=0
Step-by-step explanation:
We are given:
[tex]x^a=y^b=z^c[/tex]
xyz=1
Separating equations:
[tex]x^a=z^c[/tex]
[tex]y^b=z^c[/tex]
Solving the first equation for x:
[tex]\displaystyle x=z^\frac{c}{a}[/tex]
Solving the second equation for y:
[tex]\displaystyle y=z^\frac{c}{b}[/tex]
Substituting in
xyz=1:
[tex]\displaystyle z^\frac{c}{a}z^\frac{c}{b}z=1[/tex]
Adding the exponents:
[tex]\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=1[/tex]
Since [tex]1=z^0[/tex]:
[tex]\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=z^0[/tex]
The base is z on both sides so we get rid of them:
[tex]\displaystyle \frac{c}{a}+\frac{c}{b}+1=0[/tex]
Multiplying by ab:
bc+ac+ab=0
Reordering:
ab+bc+ca=0
2x+20=3x-10 solve for x
Answers
Answer:
x=30
Step-by-step explanation:
what is 16/20 to the nearest hundreth
Answers
Answer:
First, we convert the fraction to a decimal number by dividing the numerator by the denominator:
16 / 20 = 0.800
There are two parts to the decimal number above:
Integer Part: 0
Fractional Part: 800
Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*
In this case, Rule I applies, so 16/20 (or 0.800) rounded to the nearest hundredth in decimal format is:
0.80
Next, we will make 16/20 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:
0.80 = 0.80/1
Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:
(0.80 x 100) / (1 x 100) = 80/100
That's it. 16/20 rounded to the nearest hundredth is displayed below (simplified if necessary):
4/5
PLEASE HELP!!!! MATCH THE ANSWERS!! WILL GIVE BRAIN PLEASE!!!!
Answers
Answer:
Range - a is y<k
Range + a is y>k
Doman always all real numbers
Step-by-step explanation:
Answer:
domain- always all real numbers
and im not too certain about the last 2 but im pretty sure that
range-a is less than or equal to whereas range+a is more than or equal to.
Please help me I need to do this very fast
Answers
Answer:
B. 7
Step-by-step explanation:
for this, we can use the process of elimination.
A. 4(6) > 24
24 > 24
B. 4(7) > 24
28 > 24
C. 4(4) > 24
16 > 24
D. 4(2) > 24
8 > 24
the answer is B because it is the only choice that is greater than 24.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
If I saved $15.00 off a coat that originally cost $25.00, what percent did I save?
Answers
Answer: 60%
Step-by-step explanation:
if the coat is 25 dollars, 10% of the coat is 2.50
15 dollars /2.5=6
you saved 60 percent
If r is the radius of a circle and d is its diameter, which of the following is an
equivalent formula for the circumference C = 2 pie r?
A. C= pie d
B. C= 2 pie d
C. C=2 pie d^2
D. C = 2 pie rd
Answers
Answer:
A
Step-by-step explanation:
because r is 1/2 of d so you would have 1 d instead of 2 r
Here it is, please help me!!!!
Answers
Answer:
463mi
Step-by-step explanation:
Alice has just discovered base 10 cake! She is delighted with how powerful it is. One day, after nibbling on the cake, Alice realizes she is 1 mile tall. Having her head in the sky makes her think about space travel. She decides she wants to visit the moon, which is about 239,000 miles from the earth. How many more ounces of base 10 cake should Alice eat so the top of her head just touches the moon? Give your answer to the nearest hundredth of an ounce.
Answers
Answer:
5.38 ounces
Step-by-step explanation:
Given that :
Alice height = 1 mile
Distance of earth to moon = 239000 miles
Number of base 10 cakes required so they Alice's head just touches the moon ;
Using the relation :
Distance = height per ounce * 10^number of ounces
Height per ounce = 1 mile ;
Let number of ounces = n
Hence,
239000 = 1 * 10^n
239000 = 10^n
Take log of both sides
Log(239000) = n
5.3783979 = n
5.3784 = n
Hence, Alice should take 5.38 ounces of base 10 cakes
Si sen A = 7/25 donde "A" pertenece al segundo cuadrante y el cos B = -4/5 donde "B" pertenece al segundo cuadrante Calcular cosec(A).cos(B).tan(A).cot(B)
Answers
Plz help!! Write the name of each quadrilateral and find the area
Answers
Answer:
Step-by-step explanation:
1. Rectangle: This is because all the angles are at right angles and the length is more than the breadth.
Area = Length X breadth = 6m X 5.1 m =30.6 metre square
2. Kite: it has two equal pairs of sides adjacent to each other
Area =(BD X CE )/2 = (8 X 12) /2 = 48
3. Parallelogram: This is because it has two opposite sides that are parallel, and the angles are not 90 degrees.
Area = base X height = 5.7 X 8 = 45.6 metres square
4. Rectangle: This is because all the angles are at right angles and the length is more than the breadth.
Area = Length X breadth = 2 yd X 3.1 yd = 6.2 square yards
5. Trapezium: it has only one pair of sides parallel.
Area = 0.5 ( top side + bottom side ) X height = 0.5 (6+3 X 5) = 22.5
6. Kite: it has two equal pairs of sides adjacent to each other
Area =(EG X FH)/2 = (10 X 7) /2 = 35
?
Simplify
4p + 2q - 3p - 3q
P-Q
Answers
Answer:
I think maybe 7p+5q
Step-by-step explanation:
The recipe for Perfect Purple Water says, "Mix 8 ml of blue water with 3 ml of red water." Jada mixes 24 ml of blue water with 9 ml of red water. Andre mixes 16 ml of blue water with 9 ml of red water. Which person will get a color mixture that is the same shade as Perfect Purple Water? Jada Andre
Answers
Answer:Jada will get same shade as Perfect Purple Water
Step-by-step explanation:
STEP 1
To get the right recipe for Perfect purple water, every new mixture must have an equivalent ratio as the ideal mixture
The ideal mixture is given as
8ml blue water and 3 ml red water.
Step 2
Andre mixes 16ml blue water with 9ml red water
[tex]\frac{8ml}{3ml}[/tex] is not equivalent to [tex]\frac{16ml}{9ml}[/tex]
Because dividing Andre's mixture by a common value will not give the equivalent ratio of the ideal recipe
[tex]\frac{16ml}{9ml}[/tex] [tex]\frac{/}{/}[/tex] [tex]\frac{3}{3}[/tex] =[tex]\frac{5.3ml}{3ml}[/tex]
Jada mixes 24ml blue water with 9ml red water
[tex]\frac{8ml}{3ml}[/tex] is equivalent to [tex]\frac{24ml}{9ml}[/tex]
Because dividing Jada's mixture by a common value gives the equivalent ratio of the ideal recipe
[tex]\frac{24ml}{9ml}[/tex] [tex]\frac{/}{/}[/tex] [tex]\frac{3}{3}[/tex] =[tex]\frac{8ml}{3ml}[/tex]
This shows that Jada got the right recipe and will get same shade as Perfect Purple Water but in a higher quantity, 3 times the right recipe for Perfect Purple Water
Given 4x + y = 180, if y is 20 what is x?
Answers
Answer:
40
Step-by-step explanation:
Insert the number
4x + 20 = 180
Get the variable by its self
4x + 20 = 180
-20 -20
4x = 160
/4 /4
x = 40
if you want you can insert it into the problem to check
Write the expression as a single multiplication sentence without
parentheses.
11 × (15 + 5)
Answers
Answer:
11x20
Step-by-step explanation:
15=5 equals 20 so 11x20 is 220
Line AB on Circle A measures 7 cm. What is Circle A's circumference?
Answers
Answer:
Step-by-step explanation:
The circumference for a circle is found in the formula
[tex]C=\pi d[/tex]
so if the diamteter is 7, then the circumference is
[tex]7\pi[/tex] or if you are told to round to the nearest hundredth or thousandth, multiply pi in as 3.1415 to get that the circumference is 21.9905 cm
