Sasha sells T-shirts. Each day she earns a set amount, plus a commission.
(Look at the table below)
Which is a reasonable domain for the function Sasha uses to determine her pay?
A. all real numbers
B. 0 < x < 3
C. 0 < x < 50
D. 68 < x < 80
Answers
Answer:
Domain → 0 < x < 5
Step-by-step explanation:
Sasha sells T-shirts and earns a fixed amount plus a commission by selling each shirt. (As given in the table)
Table attached shows a linear function (A regular increase in total pay with the increase in number of shirts sold)
So the input values of the table (Number of shirts sold) will represent the domain of the linear function.
Hence, reasonable domain for the function will be → 0 < x < 5
Related Questions
Find (h-g)(x) , (f-h)(x) , g(f(5))
Use the functions f(x)=4x+1 , g(x)=2x^2-6x , and h(x)= -x^2+3x-19
Answers
Answer:
(h-g)(x) = -3x² + 9x - 19(f-h)(x) = x² + x + 20g(f(5)) = 756Step-by-step explanation:
f(x) = 4x+1
g(x) = 2x²-6x
h(x) = -x² + 3x - 19
a)
(h-g)(x) = h(x) - g(x)
= -x² + 3x - 19 - (2x²-6x)
= -x² + 3x - 19 - 2x² + 6x
combining like terms: -x² - 2x² = -3x², 3x+6x = 9x
= -3x² + 9x - 19
Therefore,
(h-g)(x) = -3x² + 9x - 19
b)
(f-h)(x) = f(x) - h(x)
= 4x+1 - (-x² + 3x - 19)
= 4x+1 + x² - 3x + 19
combining like terms: 4x- 3x = x, 1+19 = 20
= x² + x + 20
Therefore,
(f-h)(x) = x² + x + 20
c)
g(f(5)) = ?
First determine f(5) by substituting x = 5 in the function f(x)
f(x)=4x+1
f(5) = 4(5) + 1
f(5) = 20+1
f(5) = 21
so
g(f(5)) = g(21)
now
substituting x = 21 in the function g(x)
g(x) = 2x²-6x
g(21) = 2(21)² - 6(21)
g(21) = 882 - 126
g(21) = 756
Therefore,
g(f(5)) = 756
-5(3x -3) -6 (2x+7) simplify plss
Answers
Answer:
−27x−27
Step-by-step explanation:
thats the correct answer. using cynmath
Answer:
-27x + - 27
Step-by-step explanation:
Let's simplify step-by-step.
−5(3x−3)−6(2x+7)
Distribute:
=(−5)(3x)+(−5)(−3)+(−6)(2x)+(−6)(7)
=−15x+15+−12x+−42
Combine Like Terms:
=−15x+15+−12x+−42
=(−15x+−12x)+(15+−42)
=−27x+ −27
the standard deviation is approximately??
Answers
Answer:
[tex]SD = \$ 239[/tex]
Step-by-step explanation:
Given
[tex]\$277.36, \$269.29, \$307.98, \$361.63, \$407.97,\\ \$442.99, \$601.71, \$693.64, \$870.21, \$970.60[/tex]
Required
Determine the standard deviation
First, we calculate the mean.
[tex]Mean = \frac{\$277.36+ \$269.29+ \$307.98+ \$361.63+ \$407.97+ \$442.99+ \$601.71+ \$693.64+ \$870.21+ \$970.60}{10}[/tex]
[tex]Mean = \frac{\$5203.38}{10}[/tex]
[tex]Mean = \$520.338[/tex]
[tex]Mean = \$520.34[/tex] --- approximately
Next, subtract the mean from each data
[tex]\$277.36 - \$520.34 =-\$242.98[/tex]
[tex]\$269.29 - \$520.34 = -\$251.05[/tex]
[tex]\$307.98 - \$520.34 = -\$212.36[/tex]
[tex]\$361.63 - \$520.34 = -\$158.71[/tex]
[tex]\$407.97 - \$520.34 = -\$112.37[/tex]
[tex]\$442.99 - \$520.34 = -\$77.35[/tex]
[tex]\$601.71 - \$520.34 = \$81.37[/tex]
[tex]\$693.64 - \$520.34 = \$173.3[/tex]
[tex]\$870.21 - \$520.34 =\$349.87[/tex]
[tex]\$970.60 - \$520.34 =\$450.26[/tex]
Square the results above
[tex](-\$242.98)^2 = \$59039.2804[/tex]
[tex](-\$251.05)^2 =\$63026.1025[/tex]
[tex](-\$212.36)^2 =\$45096.7696[/tex]
[tex](-\$158.71)^2 =\$25188.8641[/tex]
[tex](-\$112.37)^2 =\$12627.0169[/tex]
[tex](-\$77.35)^2 =\$5983.0225[/tex]
[tex](-\$81.37)^2 =\$6621.0769[/tex]
[tex](-\$173.3)^2 =\$30032.89[/tex]
[tex](-\$349.87)^2 =\$122409.0169[/tex]
[tex](-\$450.26)^2 =\$202734.0676[/tex]
Add the squared results
[tex]\$59039.2804 + \$63026.1025 + \$45096.7696 + \$25188.8641 + \$12627.0169 + \$5983.0225 +\$6621.0769 + \$30032.89 + \$122409.0169 + \$202734.0676[/tex]
[tex]= \$572758.1074[/tex]
Divide by number of data, to get the variance
[tex]Variance = \frac{\$572758.1074}{10}[/tex]
[tex]Variance = \$57275.81074[/tex]
Square the above, to get the standard deviation
[tex]SD = \sqrt{\$57275.81074}[/tex]
[tex]SD = \$ 239.323652697[/tex]
[tex]SD = \$ 239[/tex] --- approximated
Maria has a portfolio consisting of 7 shares of stock A (purchased for $70 per share) and 4 shares of stock B (purchased for $100 per share). She assumes the expected rates of returns after 1 year will be 0.02 for stock A and 0.15 for stock B, with variances of 0.04 and 0.18, respectively.
The expected rate of return after 1 year for Maria's portfolio is ________. (Hint: For best results, retain at least four decimal places for any intermediate calculations.)
Answers
Answer:
0.0784
Step-by-step explanation:
From the information given:
The weight invested in stock A [tex]w_x = \dfrac{7 \times 70}{7 \times 70 + 4 \times 100 }[/tex]
[tex]w_x = \dfrac{490}{490+ 400 }[/tex]
[tex]w_x = \dfrac{490}{890 }[/tex]
[tex]w_x = 0.55056[/tex]
The weight invested in stock B [tex]w_y = \dfrac{4 \times 100}{7 * 70 + 4 \times 100}[/tex]
[tex]w_y = \dfrac{400}{890}[/tex]
[tex]w_y =0.44944[/tex]
Thus, expected rate of return
= [tex]w_x \times (E) (x) + w_y \times E(Y)[/tex]
= 0.55056(0.02) + 0.44944(0.15)
= 0.0110112 + 0.067416
= 0.0784272
[tex]\simeq[/tex] 0.0784
a carpenter sands 1/2 of a dresser in 3/4 hour. At this rate, How long does it take the carpenter to Sand 1 dresser?
Answers
Answer:
It would take 1 hours and 30 minutes
1 2/4
Step-by-step explanation:
please help me with this i really dont get what it means, thank you!! xo
Answers
i would probably say the first option. you basically want to use the 2 points that are outside of the majority of all of the other points. in this case, i am pretty sure it would be the first option. i am not 100% sure, but i think that's the correct answer :)
the nearest tenth of the square root of negative 105
Answers
Can someone help with this
Answers
Answer:
C and E
Step-by-step explanation:
-2/3 = -0.66
so hence forth
2/3 = 0.66
- (2/3) = -0.66 and
2/-3 = -0.66
You deposit $2000 each year into an account earning 7% interest compounded annually. How much will you have in the account in 15 years?
Answers
Answer:
in 15 years you will have 14000 dollas.-byi -step explanation:
hacer oracion con la palabra español
Answers
Answer:
Step-by-step explanation:
Estoy bien gracias.
Sorry guys the highness of the % is 93 points so here you go thx for helping!!:}
Answers
Answer:
Thanks! But why report when the people can't see this question or even get the points since its from a while ago
step-by-step explanation:
3x+6y=24
find the x intercept of the equation
Answers
Answer: x= 8-2y
Step-by-step explanation:
3x+6y=24
Subtract 6y from both sides
3x=24−6y
Divide both sides by 3
3/3x = 24-6y/3
Dividing by 3 undoes the multiplication by 3
x=24-6y/3
Divide 24−6y by 3.
The final answer comes out as x=8-2y. Hope this helped!
Answer:
x = 6
Step-by-step explanation:
3x + 6y = 24 <--- This is the original equation.
3(6) + 6y = 24 <--- Replace the variable.
18 + 6y = 24 <--- Simplify
24y = 24 <--- Do the addition.
24 = 24 <--- This equation is correct.
Therefore, x = 6.
I hope his helps! :D
In how many ways can people be lined up to get on a bus if a particular person always boards the bus first or last?
Answers
Incomplete question. I Assumed the number of people is 6. In other words, In how many ways can 6 people be lined up to get on a bus if a particular person always boards the bus first or last?
Answer:
6
Step-by-step explanation:
Note, this question involves the use of the permutation formula; which helps determine the arrangement or rearrangement of a set of objects in an ordered way. Since we are told a particular person (ie 1 person) from among the group always boards first or last, it forms our r.
P(n,r)= [tex]\frac{n!}{(n-r)!}[/tex] where n = number of people; r = the difference taken at a time.
P(n,r) = [tex]\frac{6!}{(6-1)!}[/tex] = [tex]\frac{720}{120} = 6[/tex]
What are the domain and the range of this function?
Answers
Answer:
Domain: [-5,1)
Range: [-4,7)
Step-by-step explanation:
Domain and Range
The graph shows a straight line that represents a function whose domain and range we are to determine.
To find the domain of a function given its graph we draw imaginary vertical lines from -∞ to +∞. The values of x where the line meets the graph belong to the domain.
We can find the domain of the function is [-5,1). Note the left endpoint is included because there is a solid dot and the right endpoint is not because the dot is hollow.
Similarly, the range can be determined by using horizontal lines. We can see such lines meet the graph in values of y ranging from -4 to 7. The latter not included. Thus, the range is [-4,7)
Domain: [-5,1)
Range: [-4,7)
Given Mrs. Carroll’s budget, which of the following is a viable option for the materials she can purchase?
A) 2 workbooks and 8 dry erase boards
C) 3 workbooks and 5 dry erase boards
B) 7 workbooks and 2 dry erase boards
D) 3 workbooks and 6 dry erase boards
Answers
Answer:
The answer is C
Step-by-step explanation:
Evaluate 30 x 8 step by step
Answers
3x8=24
8x0=0
When moving to tenths place add 0 to end on 24 to get 240
The value of expression 30 × 8 is,
⇒ 240
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.
Given that;
The expression is,
⇒ 30 × 8
Now, We can multiply the expression as;
⇒ 30 × 8
30
× 8
--------
240
-------
Thus, The value of expression 30 × 8 is,
⇒ 240
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ5
Which of these approximations of pi is the least accurate? A 3 B 3.1 C 3.14 D 3.14159
Answers
Answer:
Probably the first one Bc the rest are technically somewhat correct and I’d think just 3 would be the least accurate
Step-by-step explanation:
Plz help! The product of three consecutive natural numbers is 336. What are those numbers?
Answers
Answer:
2x2x2x2x3x7,This is because all of that sum equals the total of
Step-by-step explanation:
2x2x2x2x3x7
What is the y-intercept of the line with the equation y = 4 x + 2? a. -2 b. 4 c. 2 d. Negative one-half
Answers
Answer:
the correct answer is c
pllllllllllllzzzzzzzzzzzzz help me!!
Answers
Answer:
here you go!!
Step-by-step explanation:
Can someone help me please
Answers
Answer:
-28
Step-by-step explanation:
If a train traveled 34 miles in 20 minutes. How many miles per hour was it traveling
Answers
Answer:
102 mph
Step-by-step explanation:
1 hour = 60 minutes
(34 miles / 20 minutes) x 3 = (102 miles /60 minutes)
Therefore, the train travels at 102 miles per hour
We know that a train travels a distance of 34 miles in a time of 20 minutes, and from this, we want to find the speed of the train.
We can conclude that the train was travelling at 102 miles per hour.
To solve this, we need to remember the relation:
speed = distance/time
Here we know:
distance = 34mi
time = 20 minutes
But we want the speed in miles per hour, so we need to change the units of the time.
Remember that 1 hour = 60minutes, then:
20 minutes = (20/60) hours = (1/3) hours.
Then we have:
time = (1/3) hours.
Then the speed can be written as:
speed = 34mi/( (1/3) h) = (34*3) mi/h = 102 mi/h
We can conclude that the train was travelling at 102 miles per hour.
If you want to learn more, you can read:
https://brainly.com/question/24370146
Jason drove his car 395 1/5 miles and used 13 3/10 gallons of gas. How many miles
? (PLEASE ANSWER I"LL GIVE U 15 POints)
Answers
Answer:
0
Step-by-step explanation:
What steps need to be taken so that quadrilateral ABCD can be transformed to overlap quadrilateral A'B'C'D' so that their vertices match?
O Rotate ABCD 90° clockwise about the origin, then translate it 8 units to the left.
O Translate ABCD 10 units to the left, then translate it 10 units down.
O Reflect ABCD about the y-axis, then rotate it 90° counter-clockwise about the origin.
O Translate ABCD 7 units down, then reflect it about the y-axis.
Answers
Answer:
What the answer
Step-by-step explanation:
Pls
Answer:
Reflect it across the Y axis then do a 90 degree CCW rotation.
Step-by-step explanation:
If mC=6x+4 and mA=2x + 12, solve for x
Answers
Answer:
x = 2
Step-by-step explanation:
It is the picture of parallelogram . And in a parallelogram , vertex angles which are opposite to each other are equal. So, angleA = angleC and angleB = angleD.
As angleA = angleC ,
[tex]6x + 4 = 2x + 12[/tex]
[tex] = > 6x - 2x = 12 - 4[/tex]
[tex] = > 4x = 8[/tex]
[tex] = > x = \frac{8}{4} = 2[/tex]
An earlier version of a cell phone was 112 mm think. The current version is about 11% thinner. How thick is the newer version?
Answers
Answer:
99.68 mm
Step-by-step explanation:
Multiply 112 by 0.11 to get 12.31 as the 11% cut off. Subtract that number from 12.31 to get your final answer which is 99.68mm in which is that thick for the new version.
1080 people attended a basketball game. 594 of the people attending supported the home team,while 486 supported the visiting team. What percentage of people attending the home team?
Answers
55% of the people attending are supporting the home team.
Answer: the answer is 55
Find the difference.
(10m+ 3) - (4m - 2)
O A. 6m-1
O B. 14m + 5
O c. 6m + 5
O D. 14m - 1
Answers
Answer:
[tex]A. \: 6m - 1[/tex]
Step-by-step explanation:
Hope this helps!
Answer:
the person above me is wrong its C
Step-by-step explanation:
During a promotion at an aquarium, the number of adult tickets sold was 4 times
the total number of student tickets and senior citizen tickets sold. The number of
student tickets sold was three times that of senior citizen tickets. 142 more student
tickets than senior citizen tickets were sold. How many adult tickets were sold?
Step by step solving
Answers
Step-by-step explanation:
Let Number of senior citizen tickets
sold = x
Number of students tickets sold = 3.x
Number of adult tickets sold = 4 x 3x
= 12x
/* According to the problem given */
3x = x + 142
+ 3x – x = 142
2 x = 142
142 == 2
> x = 71
. Number adult tickets sold
= 12x
= 12 x 71
= 852
11x−(3+4x)= please help
Answers
Remove the parenthesis
11x-3-4x
Collect like terms
7x-3
