NO LINKS!! Explain your answer (show the support by showing the changes in x and y on your table). If the relationship is linear, inverse, or exponential, write the equation.
#7 and #8
Answers
Answer:
7. inverse relationship; equation: y = 16/x
8. no relationship; no equation
Step-by-step explanation:
The attachment shows the support for the conclusions. The relationship can be chosen from those offered by looking at differences, ratios, or products of y-values for sequential x-values.
linear: constant differencesexponential: constant ratiosinverse: constant products__
7.In the first problem, we note that the relationship between y-values varies inversely as the relationship between x-values: when x goes up by a factor of (n+1)/n, the value of y goes down by its inverse factor: n/(n+1). That same relationship is observed by noting that the product of x and y is a constant, 16.
relationship: inverse
y = 16/x
__
8.As we looked at the table, we thought this might be an exponential function. Each y-value seemed to be twice the one before—until we got to x=5. As x went from 4 to 5, the y-value increased by a factor of 16, not 2. This means there is no simple relationship between x and y, and no simple equation that will describe the sequence of y-values.
Answer:
Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.
Inverse relationship: the value of one variable decreases as the value of the other variable increases.
Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)
Question 7
As the x-value increases (by one unit), the y-value decreases.
Therefore, this is an inverse relationship.
The y-values are calculated by dividing 16 by the x-value.
[tex]\sf y=\dfrac{16}{x}[/tex]
Question 8
As the x-value increases, the y-value increases.
The y-value increases by a factor of 2 for each x-value increase of 1 unit from 1 ≤ x ≤ 4 and 5 ≤ x ≤ 6.
[tex]\sf y=2^x \ for \ 1\leq x\leq 4[/tex]
[tex]\sf y=2^{(x+3)} \ for \ 5\leq x \leq 6[/tex]
These are separate exponential relations for restricted domains.
So there doesn't appear to be one relationship for a non-restricted domain.
Related Questions
Arderi Air Conditioning sells one primary model of air conditioner. Each unit of this model costs them $61.25 to produce, but it sells for $142.50 apiece. Arderi Air Conditioning employs three salespeople, each of whom earns a different commission per unit sold, as shown on the following table. Salesperson Commission/Sale Mary $36.25 Jay $28.50 Abby $25.75 Last month, Arderi Air Conditioning had a total fixed overhead cost of $7,622.25. It is known that one salesperson sold 51 units, one salesperson sold 43 units, and one salesperson sold 54 units. Which arrangement of sales would cause Arderi Air Conditioning to break even? a. Mary sells 54 units; Jay sells 51 units; Abby sells 43 units b. Mary sells 54 units; Jay sells 43 units; Abby sells 51 units c. Mary sells 43 units; Jay sells 51 units; Abby sells 54 units d. Mary sells 43 units; Jay sells 54 units; Abby sells 51 units Please select the best answer from the choices provided
Answers
The arrangement of sales which would cause Arderi Air Conditioning to break even is Mary sells 54 units; Jay sells 51 units; Abby sells 43 units.
What is a break even point?The break even point is the point at which the cost of production of an item to produce is equal to the revenue generated after selling it.
Arderi Air Conditioning sells one primary model of air conditioner. Each unit of this model costs them $61.25 to produce, but it sells for $142.50 apiece. Thus,
Cost price C=$61.25Sells price S=$142.50Arderi Air Conditioning employs three salespeople, each of whom earns a different commission per unit sold, as shown in the following table.
Salesperson Commission/Sale Mary $36.25 Jay $28.50 Abby $25.75It is known that one salesperson sold 51 units, one salesperson sold 43 units, and one salesperson sold 54 units. Thus, the total AC sold is,
[tex]n=51+43+54\\n=148[/tex]
Now, the selling price is $142.50. Thus, the revenue after selling 148 units is,
[tex]R=148\times142.50\\R=21090[/tex]
The cost price is $61.25. Thus, the cost of production of 148 units is,
[tex]R=148\times61.25\\R=9065[/tex]
Last month, Arderi Air Conditioning had a total fixed overhead cost of $7,622.25. Suppose, Mary sells 43 units; Jay sells units; Abby sells 54 units. Thus, the total cost,
[tex]C_t=7622.25++9065+43\times36.25 +51\times28.50 +54\times25.75\\ C_t=21090[/tex]
The total cost is equal to the total revenue. This point is break even point.
Thus, the arrangement of sales which would cause Arderi Air Conditioning to break even is Mary sells 54 units; Jay sells 51 units; Abby sells 43 units.
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Answer:
c.
Mary sells 43 units; Jay sells 51 units; Abby sells 54 units
the circumference of the hub cap of a tire is 79.38 cm. Find the area of this hub cap. use 3.14 for pi
Answers
Answer:
ans 19785.719
Step-by-step explanation:
formula πr^2
Over the last 16 years Johanna saved some of her pay each month. She now has $46000. She decided to invest some of it at 5.25%
Answers
Answer:
what is the question?
do you have to find how much she is investing?
What is the Area of the circle
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Area of circle :
[tex]\qquad \sf \dashrightarrow \:\pi r {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \pi\times (3.5) {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:12.25 \: \pi[/tex]
[tex]\qquad \sf \dashrightarrow \:38.465 \: \: unit {}^{2} [/tex]
Answer:
38.465 units²
Step-by-step explanation:
The formula to find the area of a circle is πr². Simply substitute the radius in the formula to find the area.
Substituting the radius in the formula:
⇒ πr²
⇒ π(3.5)² [Radius (r) = 3.5 units]
Evaluating the area:
⇒ π x 12.25
⇒ 3.14 x 12.25
⇒ 38.465 units²
mollie wants to measure the capacity of the kitchen sink she has a 1 L container and a 10 mL container which should she use
Answers
Answer:
1 L
Step-by-step explanation:
Kitchen sinks are pretty large in terms of volume in Liters
use the 1 L container
Eight pounds of peanuts cost $24.00. Six pounds of walnuts cost half as much.
Answers
Answer:
1 pound of peanuts cost 3 dollars
1 pound of wallnuts costs 2 dollars
Step-by-step explanation:
24/6=4
12/6=2
1) Zero helps mark directions in value Choose ALL contexts that correctly describes zero.
A) elevation:0 feet is called the ground floor
B bank account below 5D is a
negative balance
C)electricity an object that has 0 charge is neutral
D) buildings on an elevator, o represents the sea level
temperature temperature above is a negative temperature
E) temperature : temperature above 0 is a negative temperature
Answers
Answer: A,C,D
Step-by-step explanation:
Answer:
bank account and electricity
Step-by-step explanation:i tried the other one and it was all incorrect
Help plssssssssssssssssssss I NEED THIS TODAY!! PLS
Answers
Answer:
The first 1 is the answer (a)
Step-by-step explanation:
What is the vertex of this quadratic function? y=6(x+1)2-9 Please Help!
Answers
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ y = 6(x+1)^2-9\implies y = 6[x-(\stackrel{h}{-1})]^2\stackrel{k}{-9}\qquad \qquad \stackrel{vertex}{(-1~~,~~-9)}[/tex]
Please somebody help me. I’m begging.
Answers
Answer:
d=1
Step-by-step explanation:
d=2*r
r=(1/2)
d=2*(1/2)=1
Paige used 1 1/2 cups of flour and 1/4 cup of butter to make 12 muffins. How much flour and butter would palat
need for 18 muffins?
A. 3 cups flour and 3/4 cup butter
B. 2 3/4 cups flower and 1/8 cup butter
C. 2 cups flower and 1/2 cup butter
D. 2 1/4 cups of flower and 3/8 cup butter
Answers
Answer:
D
Step-by-step explanation:
To turn the fraction of 1 1/2 to decimal would be : 1.50 add fifty percent because you have to add 6 to 12 and six is half, so you add half. Half of 150 is 75 so add them you get 225 and as a fraction, that's 2 1/4. Already you have the first part done. Since there is only one answer with 2 1/3 your answer has to be D.
Find 13x2/5
Please answer this in 5 min
Answers
Answer:
5.2 I hope this helps. Im not the best at math...
Answer:
the answer should be like 5.2 or something close to that.
Step-by-step explanation:
i tried doing the math no promises that its right..
The percentage error in measuring a clothe is 40% if the error committed is 10cm what is the original Value of the measurement??
Answers
cross multiply:
40% - 10
100% - x
so 40x = 1000
x=25
Compare using inequalities <>, or
During February in Du Bois, Pennsylvania the temperature was -23 degrees at 11 am. The temperature was -6 degrees
at 7 pm.
-0)
A)
-23 >-6
B)
-23<-6
O
-6<-23
D)
-6=-23
Answers
Answer:
B. - 23 < -6
Step-by-step explanation:
Plutonium-240 decays according to the function Q(t) = Qoe^-kt
where Q
represents the quantity remaining after t years and k is the decay constant,
0.00011... To the nearest 10 years, how long will it take 36 grams of
plutonium-240 to decay to 12 grams?
Answers
Answer:
9990 years
Step-by-step explanation:
The exponential function with given values filled in can be solved for the unknown using logarithms.
__
Q(t) = 12 = 36e^(-0.00011t)
1/3 = e^(-0.00011t) . . . . . . divide by 36
ln(1/3) = -0.00011t . . . . . . take natural logs
t = ln(1/3)/(-0.00011) . . . . divide by the coefficient of t
t ≈ 9990 . . . years
PLEASE HELP ASAP DUE TOMORROW
Answers
The area of the shaded part of the given figure is 60 square inches'
How to calculate the area of a composite shape.The given figure is made up of a rectangle and 2 similar triangles
Area of the shaded part = Area of rectangle + area of 2 triangles
From the figure
Area of rectangle = 12 * 4 = 48 square in
Area of one triangle = 0.5(6)(4) = 12 square in
Area of the figure = 48 + 12
Area of the figure = 60 square inches'
Hence the area of the shaded part is 60 square inches.
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ents
Suppose a furniture builder has two models of a bookcase: standard and artisan. The standard
model requires 4 hours to assemble and 2 hours for finishing touches. The artisan model requires 2
hours to assemble and 2 hours for finishing touches. Based on their current staffing, they can
manage a maximum number of assembly hours available is 48 per day, and the maximum number
of finishing hours available is 44 per day.
Let x = the number of standard model bookcases produced per day and y = the number of artisan
model bookcases produced per day.
Write the system of inequalities that represents the maximum number of bookcases that can be
produced in one day.
Answers
Answer:
48 ≥ 4x + 2y
44 ≥ 2x + 2y
First, we will look at assembling hours.
"The standard model requires 4 hours to assemble [and] the artisan model requires 2 hours to assemble"
We also know they have 48 hours per day for assembly, x is standard model and y is artisan model.
48 = 4x + 2y
Lastly, they do not need to make that many, but they can so we will use greater than or equal to.
48 ≥ 4x + 2y
Now let us look at finishing hours.
"The standard model requires ... 2 hours for finishing touches. The artisan model requires ... 2 hours for finishing touches."
We also know they have 44 hours per day for assembly, x is standard model and y is artisan model.
44 = 2x + 2y
Again, they do not need to make that many, but they can so we will use greater than or equal to.
44 ≥ 2x + 2y
Simplify the expression.
(m^-1 m^5/m^-2)^-3
a)- 3m^4/m^2
b)-m^216
c)m^18
d)1/m^18
Answers
Explanation:
(m^-2/m-1m5)^3
m^-6/m^-3m^15
1/m^6 / m^15/m^3
1/m^6 / m^12
1/m^6 (1/m^12)
1/m^18
let me know if you want clarification
Answer:
[tex]D)\frac{1}{m^{18} }[/tex]
Step-by-step explanation:
Multiply [tex]m^{-1}[/tex] by [tex]m^{5}[/tex] by adding the exponents.
Use the power rule [tex]a^{m} a^{n} =a^{m+n}[/tex] to combine exponents.
[tex](\frac{m^{-1+5} }{m^{-2} } )^{-3} \\[/tex]
Add -1 and 5.
[tex](\frac{m^{4} }{m^{-2} } )^{-3}[/tex]
Move [tex]m^{-2}[/tex] to the numerator using the negative exponent rule [tex]\frac{1}{b^{-n} } =b^{n}[/tex].
[tex](m^{4} m^{2} )[/tex]
Multiply [tex]m^{4}[/tex] by [tex]m^{2}[/tex] by adding the exponents.
Use the power rule [tex]a^{m} a^{n} =a^{m+n}[/tex] to combine exponents.
[tex](m^{4+2} )^{-3}[/tex]
Add 4 and 2.
[tex](m^{6} )^{-3}[/tex]
Multiply the exponents in [tex](m^6)^{-3}[/tex]
Apply the rule and multiply exponents, [tex](a^m)^n=a^{mn}[/tex].
[tex]m^{6*-3}[/tex]
Multiply 6 by -3.
[tex]m^{-18}[/tex]
Rewrite the expression using the negative exponent rule [tex]b^{-n} =\frac{1}{b^{n} }[/tex].
[tex]\frac{1}{m^{18} }[/tex]
help me help me help me
Answers
Answer:
read step by step
Step-by-step explanation:
6 is +4.
19, 23, 27, 31
7 is all perfect square numbers
25, 36, 49, 64
8 is x2.
32, 64, 128, 256
9 is each number multiplied by the next. ex: 1x2=2, 2x3+6, 3x4=12
so the next few would be 30, 42, 56, 72
Find the quotient of 3/5 and 2/3
Give your answer as a fraction in its simplest form.
Answers
Can somebody help me I’m confused on how solving the equation
Answers
Answer:
You answer is.
(d)YesA = -9Step-by-step explanation:
Example Problem.
y = 2^ (x - h) + k
y = 8^(x-0) - 9
The h = 0 so there no transition left/right.
There is a k = -9 which means transition down/up but it is a negative so down.
Domain: all real number ( -inf , +inf)
Range: (k, inf) -> (-9, +inf)
k = -9 is also y=-9 that the graph can't pass.
A bycycling club has 18 members,of which 11 are males and the rest females. What is the ratio of males to all club members
Answers
Answer:
11 : 18
Step-by-step explanation:
to figure out number of female members (not neccessary to solve this problem)
18 members = male + female members
18 members = 11 members + female members
-11 -11
---------------------------------------------------------------------
7 members = female members
ratio of males to all club members
11 : 18
Laurence earned scores of 87, 80, 75, and 85 on four biology tests. What score must he earn on his next test to have an 85 average?
A. 95
B. 98
C. 80
D. 85
Answer: 98
Answers
To get an 85 average, Laurence needs a score of 25 on his upcoming biology exam.
What is math average?
The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics.
When calculating the average for a set of data, we first sum up all the values and divide the result by the total number of values.
Average = (sum of values) / (number of values)
The total of Laurence's marks on the first four biology exams can be calculated using the following formula
Sum of scores = 87 + 80 + 75 + 85
= 327
We need the total of all five scores to be 85 x 5 = 425 in order to obtain an average of 85 for five tests.
Therefore, We need the total of all five scores to be 85 x 5 = 425 in order to obtain an average of 85 for five tests.
Next score = (sum of all five scores) - (sum of first four scores)
= (85 x 5) - 327
= 25
Therefore, To get an 85 average, Laurence needs a score of 25 on his upcoming biology exam.
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show that the function [tex] f : R \dashrightarrow R [/tex] defined by f ( x ) = [tex]\frac{1}{x} \\ [/tex] is one - one but not onto.
thankyou! :)
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The given function is :
[tex]\qquad \tt \dashrightarrow \:f(x) = \frac{1}{x} [/tex]
here, for each value of x there is an unique value of f(x), so we can infer that it's a " one - one " function.
but it isn't an onto function because for value of x as 0, we have no value of f(x) [ undefined ]
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.3 inches, and standard deviation of 1 inches. What is the probability that the height of a randomly chosen child is between 53.3 and 55.3 inches
Answers
Answer:
a) We need to find p(x<68.15)
Standardize x to z, we have, z = (68.15-μ)/σ
=(68.15-57)/8.1
=1.38
Reading from standard normal tables,
p(z<1.38) =0.9162.
b) We need to find p(x>54.4)
Standardize x to z, we have, z = (54.4-μ)/σ
=(54.4-57)/8.1
=-0.32
Reading from standard normal tables,
p(z>-0.32) = 0.6255
ANSWER QUICK FOR A. AND B. !
Answers
Answer: a=4
b=1600x
Step-by-step explanation:
What is the f(3) for:
F (x) = 2x^2 + 5 (x-2)
Answers
18+5
23
That should be it
Simplify this fraction to the lowest terms 14/12
Answers
Answer:
1 1/6 or 7/6
Step-by-step explanation:
Divide both 14 and 12 by 2
I’m confused can someone help?
Answers
Answer:
(a) check the first one, and the second one
(b) check the last one
Step-by-step explanation:
This is quite easy actually.
(A)3x+24 = 3 * x + 3 * 8
3(x+8) using distribute property.
3x + 24
You cannot simplify 3x+24 any further
And 3(8x+1) just doesn't work
since it's multiplying
The "*" is an X sign
(B)The first, second, and third are not correct
But the last one is.
could i have some quick help factoring trinomials?
Answers
Solution 1
6x² + 34x -126x² + 36x -2x -126x(x+6)-2(x+6)(6x-2)(x+6)Solution 2
48c²-160c+10012c² - 40c + 2512c² - 30c -10c + 256c(2c-5) -5(2c-5)(6c-5)(2c-5)Solution 3
-6x-51xy+27xy²3x(-2-17y+9y²)3x(-2-18y+y+9y²)3x(-2(1+9y)+y(1+9y))3x(9y+1)(y-2)#1
6x²+34x-126x²+36x-2x-126x(x+6)-2(x+6)(x+6)(6x-2)#2
48c²-160c+100Cancel by 4
12c²-40c+2512c²-30c-10c+25(2c-5)(6c-5)#3
-6x-51xy+27xy²3x(-2x-17y+9y²)