What are the domain and range of function p within the context of Melissa’s garden?
Drag the values to the correct locations on the image. Each value can be used more than once, but not all values will be used.
Answers
When a function is plotted, the domain and the range of the function are the x-coordinate and the y-coordinate respectively. The domain and range of the assumed function for Melissa's garden are: [tex]x = (2,\infty][/tex] and [tex]p(x) = (0,\infty][/tex], respectively.
The function for Melissa's garden is not given. So, I will give a general explanation to calculate domain and range.
The domain is all possible values the independent variables of a function can take while the range is all possible values the dependent variables of a function can take
Assume the function of Melissa's garden is:
[tex]p(x) = x(x - 2)[/tex]
Start by equating the function to 0
[tex]x(x - 2) = 0[/tex]
Split
[tex]x = 0\ or\ x - 2 = 0[/tex]
Solve
[tex]x = 0\ or\ x = 2[/tex]
The above values of x will give [tex]p(x) = 0[/tex]
Because it is a garden, the length of the garden cannot be 0 or less.
So, the domain of the function is:
[tex]x = (2,\infty][/tex]
This means that the domain starts from a value greater than 2 (e.g. 3) and ends at infinity
To calculate the range, we substitute [tex]x = (2,\infty][/tex] in the function
[tex]x = 2[/tex] means
[tex]p(2) = 2 \times ( 2- 2) = 0[/tex]
[tex]x = \infty[/tex] means
[tex]p(2) = \infty \times (\infty- 2) = \infty[/tex]
So, the range of the function is:
[tex]p(x) = (0,\infty][/tex]
This means that the domain starts from a value greater than 0 (e.g. 1) and ends at infinity
Read more about domain and range at:
https://brainly.com/question/24276621
Answer:
The range is 0, infinity and the domain is 0,12
Step-by-step explanation:
Related Questions
select the correct answer
1.caul will be the measure of one of the legs of a right triangle, if its hypotenuse is 10 cm and leg b is 6 cm, what will be the measure of leg a?
a) 8 cm
b) 5 cm
c) 4 cm
d) 12 cm
please
Answers
Answer:
answer us a) 8cm
Step-by-step explanation:
a^2 + 6^2 = 10^ 2
a^2 + 36 = 100
subtract 36 from 100
a^2 = 64
square root of 64 is 8
if BC=2x-3 and AC=2x+10, find the length of AB
Answers
Answer:
ac
Step-by-step explanation:
xcsddddssss
For a short time after a wave is created by wind, the height of the wave can be modeled using y - a sin 2piT/t, where a is the amplitude and T is the period of the wave in seconds.
13. Write an equation for the given function given the period, phase shift, and vertical shift. cotangent function, period =pi phase shift = -1/3 pi, vertical shift = 2
Answers
Answer:
y = 4sin((t+4π/3)/2) -2
Step-by-step explanation:
The generic form is y = A·sin(B(t -C)) +D
where A is the amplitude
B is 2π/period
C is the phase shift
D is the vertical shift
You have A = 4
period = 4π, so B = (2π)/(4π) = 1/2
C = -4π/3
D = -2
Putting these values into the above form gives:
y = 4sin((t+4π/3)/2) -2
Can someone help (Geometry)
Answers
Answer:
∠DAC is 35°
Step-by-step explanation:
Given:
Measure of ∠DAB = 64°
Measure of ∠CAB = 29°
Solution:
∠DAB shows the value of the overall angle.
∠CAB shows the value for almost half of the angle.
∠DAB - ∠CAB = ∠DAC
64° - 29° = ?
∴ 64° - 29° = 35°
Hence, the value of ∠DAC is 35°
Make up a data set (n = 10) that has the same minimum value, same median, and same maximum value, but a larger IQR than the boxplot shown.
a. Give your 10 numbers.
b. Give the 5-number summary for your data.
c. Describe your strategy for figuring this out.
Answers
The 10 hypothetical numbers which meets the conditions given on the question may include :
1, 2, 3, 5, 6, 6, 7, 10, 10, 12
The five number summary include the maximum, minimum, lower quartile, Median and upper quartile of a distribution.
The five number summary of the hypothetical data are:
Median: 6
Minimum: 1
Maximum: 12
Lower quartile: 2.75
Upper quartile: 10
Comparing the 5 - number summary of the hypothetical data with that of the given boxplot.
From the given boxplot shown :
Minimum value = 1
Maximum value = 12
Median = 6
LOWER QUARTILE, Q1 = 4
UPPER QUARTILE, Q3 = 8
IQR = (Q3 - Q1) = 8 - 4 = 4
THE 10 made up numbers :
1, 2, 3, 5, 6, 6, 7, 10, 10, 12
The five number summary for the made up data :
Median = 1/2(n+1)th term = 5.5th term = (6+6)/2 = 6
Minimum: 1
Maximum: 12
First quartile = 1/4(n+1)th = 2.75th term = (2+3)/2 = 2.5
Third quartile: 3/4(n+1)th term = 8.25 = (10+10)/2 = 10
Interquartile Range: (10 - 2.5) = 7.5
The original data values and hypothetical data have the same minimum and maximum and median values. The hypothetical data has an higher IQR value than the original data.Learn more : https://brainly.com/question/12992903?referrer=searchResults
Multiply
(s - 5)(2s + 7)
(s - 5)(25+7)=(Simplify your answer.)
(SOMEONE PLEASE ANSWER)
Answers
(s - 5)(2s + 7) =
= 2s² + 7s - 10s - 35 =
= 2s² - 3s - 35
Answer:
2s² - 3s - 35 {final answer}
Step-by-step explanation:
Let's find simplest form of equation,
→ (s - 5)(2s + 7)
→ 2s² + 7s - 10s - 35
→ 2s²- 3s - 35
Thus, the answer is 2s²- 3s - 35.
Choose the correct equivalent expression that includes a set of parentheses so that the value of the expression is 20.
(12 + 32) ÷ 4
12 + (32 ÷ 4)
pls give the right answer i will make you brainlist
Answers
Answer:
12 + (32 ÷ 4)
Step-by-step explanation:
Step 1:
12 + (32÷ 4)
Step 2:
12 + 8
Answer:
= 20
Hope it helps :)
5. The graph shows the relationship between the number of cups of flour and the propos
number of cups of sugar in Lin's favorite brownie recipe.
3
cups of flour
1
.
1 2 3 4 5
cups of sugar
The table shows the amounts of flour and sugar needed for Noah's favorite brownie
recipe.
Answers
Answer:
what are you confused on??
Find the distance between the pair of points. E(9,-4) F(-3,5)
Answers
Answer:
5
Step-by-step explanation:
√
(
−
3
−
9
)
2
+
(
5
−
−
4
)
2
=
√
(
−
12
)
2
+
9
2
=
√
144
+
81
=
√
225
= 15
Distance between points (9, -4) and (-3, 5) is 15
Evaluate x + 2.7 for x= -1.5.
The value of the expression is
Answers
[tex]\text{x}=-1,5\\\\\text{x}+2,7=-1,5+2,7=2,7-1,5=\boxed{1,2}[/tex]
given g(x) = x2−4
find g(-3)
Answers
Answer:
Step-by-step explanation:
First we have to match these two terms
g(x)= g(-3)
Now we just replace the -3 with the x
-3^2 - 4
9-4
5 ----> the final answer
(btw the negative turned positive because it is squared)
Which is equivalent to (2 x
5)^4
Answers
Answer:
10000
Step-by-step explanation:
2*5=10
10^4=10*10*10*10=10000
Referring to the figure, does the triangle shown have
rotational symmetry?
a. yes
b. no
Answers
Referring to the figure, does the triangle shown have
rotational symmetry?
a. yes
b. no
Use the number line below, where RS = 4y + 2, ST = 3y + 7, and RT = 44.
a. What is the value of y?
b. Find RS and ST.
Answers
Answer:
Y = 5
Step-by-step explanation:
RT = RS + ST
44 = 4y + 2 + 3y + 7
44 -2 -7 = 7y
35 = 7y
y = 5
Alix is 6 inches shorter thelan Ben. Alix is p inches tall. Write an expression to show how tall Ben is
Answers
Answer:
p+6
Step-by-step explanation:
are All integers are real numbers.
Answers
Answer:
no
Step-by-step explanation:
all integers are not real numbers.integers are negative and positive numbers. but real numbers don't include negative numbers.
Fghgguvguhv cygctgfyuhff
Answers
Answer:
80 degrees i believe
Step-by-step explanation:
if supplementary angles =180 then 180-100=80
Answer:
m∠QRS = 80°
Step-by-step explanation:
We know that, sum of supplementary angles is 180°.
Given that ∠ABC and ∠QRS are supplementary, and m∠ABC = 100°.
So, m∠ABC + m∠QRS = 180°
=> 100° + m∠QRS = 180°
=> m∠QRS = 180° - 100°
=> m∠QRS = 80°
For the function f(x) = -x^3 + 2x^2 + x - 2
a. Show that (x - 1) is a factor of f(x).
b. Find other factors.
c. Sketch the graph of f(x) = -x^3 + 2x^2 x - 2
Answers
Answer:
Step-by-step explanation:
a)
[tex]f(1)=-1^3+2*1^2+1-2=-1+2+1-2=0\\\\[/tex]
b)
Rationnel roots are divisor of -2: -1,1,-2,2
[tex]f(-1)=-(-1)^3+2*(-1)^2+(-1)-2=1+2-1-2=0\\\\\begin{array}{c|cccc}&x^3&x^2&x&1\\---&---&---&---&---\\&-1&2&1&-2\\x=1&&-1&1&2\\&-1&1&2&0\\\\x=-1&&1&-2\\&-1&2&0\\---&---&---&---&---\\\end {array}\\\\\\f(x)=-x^3+2x^2+x-2=(x-1)(x+1)(-x+2)\\\\[/tex]
c) see picture
What is the equation of the axis of symmetry?
Answers
Answer:
x = 0
Step-by-step explanation:
you could hold a mirror perpendicular to the page with an edge aligning on the y axis and the reflected curve would imitate the actual curve.
Trevor has 40 contacts in his phone. Six are coworkers, 8 are
family members, and 26 are friends. If Trevor accidentally
calls a random contact, what is the probability he will call a
friend?
Answers
Answer:
0.65
Step-by-step explanation:
There are 26 friends on his phone.
There's a total of 40 contacts.
P(Friend) = 26/40
P(Friend) = .65
Luis buys 0.56 pound of power pasta. Mariana buys 0.27 pound of power pasta. How much do they buy in all?
Answers
Add the two amounts together:
0.56 + 0.27 = 0.83 pounds total
Luis buys 0.56 pound of power pasta. Mariana buys 0.27 pound of power pasta. How much do they buy in all?
Solution:First, understand the problem.
Luis buys 0.56 pounds of power pasta.
Mariana buys 0.27 pound of power pasta.
Then, add the bus of Luis and Mariana.
Luis buys + Mariana buys = N0.56 + 0.27 = NN = 0.83Answer:Therefore, 0.83 buy in all.
Which of the following shows the prime factorization of 72 using exponential notation?
Answers
Answer:
2^3 .3^2
Step-by-step explanation:
if 2×2×2 = 8
and 3×3=9 then 8×9=72
Answer:
2³ × 3²
Step-by-step explanation:
Repeatedly divide by 2 until finish, then divide by 3
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9 , then
9 ÷ 3 = 3
3 ÷ 3 = 1 ← finish when 1 is reached
Then
72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3²
What is the distance from the origin to point A graphed on the complex plane below
Answers
Answer:
B) [tex]\sqrt{13}[/tex]
Step-by-step explanation:
1. [tex]d = \sqrt{(-3-0)^2+(-2-0)^2}[/tex]
2. [tex]d=\sqrt{(-3)^2+(-2)^2}[/tex]
3. [tex]d=\sqrt{9+4}[/tex]
4. [tex]d=\sqrt{13}[/tex]
[tex]\sqrt{13} = 3.60555..[/tex]
What are 3 fun facts about Brazil in your own words? Answer ASAP
Due today
Answers
Answer:
Brazil is the only country in South America that speaks Portuguese
The name Brazil comes from a tree named brazilwood
Brazil is the largest country in South America
lmk if incorrect
What is the coefficients and Constants for 5x-10
Answers
Answer:
coefficient
5
constant
-10
Step-by-step explanation:
5x-10
The coefficient is the number in front of the variable
5
The constant is the number alone
-10
please show work 3d – 4 + d = 8d – (-12)
Answers
Answer:
d = -4
Step-by-step explanation:
3d – 4 + d = 8d – (-12)
3d - 4 + d = 8d + 12
4d - 4 = 8d + 12
(4d - 4d) - 4 = (8d - 4d) + 12
-4 = 4d + 12
-4 - 12 = 4d (+ 12 - 12)
-16 = 4d
-16/4 = 4d/4
d = -4
Answer:
d= -4
Step-by-step explanation:
3d- 4 +d = 8d + 12
4d - 4 = 8d + 12
4d = 8d + 16
-4d = 16
d= -4
Check
-12 - 4 - 4 = -32 + 12
-20 = -20
Which of the below measures of central tendency is/are always unique ?
Answers
Answer:
A measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data
Solve the equation for y.
-4x+ 3y = 12
Answers
Answer:
[tex] - 4x + 3y = 12 \\ 3y = 12 + 4x[/tex]
divide through out by 3:
[tex]y = 4 + \frac{4}{3} x \\ \\ { \boxed{ \boxed{y = \frac{4}{3}x + 4 }}}[/tex]
Answer:
y = 4/3x + 4
Step-by-step explanation:
-4x + 3y = 12
-4x + 3y + 4x = 12 + 4x
3y = 4x + 12
3y/3 = (4x + 12)/3
y = 4/3x + 4
Josefina's check at Sun Bistro is $26.70. In order to leave a 24% tip, how much should she pay? Round to the nearest cent.
Answers
Answer:
33.11 hope this helps
Step-by-step explanation:
she needs to pay $33.108 In order to leave a 24 percent tip.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, Josefina's check at Sun Bistro is $26.70. she wants to leave a 24% tip
Bill of josefina = 26.70
Bill after 24% tip = 26.70 * (1 + 24%)
Bill after 24% tip = 26.70 * 1.24
Bill after 24% tip = 33.108
Therefore, In order to leave a 24% tip she needs to pay $33.108.
Learn more about ratios here:
https://brainly.com/question/13419413
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If f(x)=3x-2 and g(x)=2x+1, find (f-g)(x)
A. 5x-3
B. 5x-1
C. X-3
D. 3-x
I need step by step explanation please
Answers
Answer:
B
Step-by-step explanation:
3x - 2 + 2x + 1
5x - 1
