Taxation is done on the discounted price. The equation representing the final price of a tablet for this condition is : Option A: c[p(t)] = 0. 918t
What are composite functions?Functions which are formed by composing two or more functions in a way that one's input is another's output unless its the last and first function is called composite functions.
For given case, it is given that
Discounted price for original 't' price of a tablet is
[tex]p(t) = 0.85t[/tex]
This discounted price is then passed as input to the tax calculating function as taxation is specified to be done on the discounted price and not on the original price.
The total cost calculating function is [tex]c(p) = 1. 08p[/tex]
Thus, for original price t, the total cost is given as:
[tex]c(p(t)) = 1.08(p(t)) = 1.08 \times 0.85t = 0.918t[/tex]
We composed the two available function to get the direct final cost from value of t.
Thus,
The equation representing the final price of a tablet for this condition is Option A: c[p(t)] = 0. 918t
Learn more about composite functions here:
https://brainly.com/question/24780056
What are 3 possible solutions for the inequality?
Fill in the missing number. % of 96 = 24 Submit
Answer:
[tex]25[/tex]% of 96 = 24
Step-by-step explanation:
?% of 96 = 24
[tex]\frac{x}{100} =\frac{24}{96}[/tex]
[tex]x =\frac{24*100}{96}[/tex]
[tex]x = 25[/tex]%
The x coordinate is zero and
the y coordinate is positive so what quadrant are they located in
Answer:
If the x-coordinate is (0,0) and the y-coordinate is positive, it is not technically in any quadrant because it is located on the line and not in any quadrant.
Step-by-step explanation:
ok so i have three questions 1. 4 – 3/7 = _______
2. 3/4 + 5/8 = _______
and 3. 1 – 4/5 = _______
I need help with this equation please: 24c+36d+18:
Thank you!
Answer
[tex] \: \: [/tex]
[tex] \sf \large \red{ ↬}24c + 36d + 18[/tex]
[tex] \: \: [/tex]
[tex] \boxed{ \sf \large \red{ ↬}6(4c + 6d + 3)}[/tex]
[tex] \: \: [/tex]
Hope Helps!
A square has side length 2x+5 . Find its area.
Answer: 4x^2 + 20x + 25
Step-by-step explanation:
(2x + 5)^2 = 4x^2 + 20x + 25
i need answers quick thanks
Discuss the income effect for normal and inferior goods
Answer:
➢ The income effect describes the relationship between an increase in real income and demand for a good. The result of the income effect for a normal good is discernible to that of an inferior good in that a positive income change causes a consumer to buy more of a normal good, but less of an inferior good.
[tex]Into \: your Arms[/tex]
#CarryOnLearning
3x - 2y =6
if x is equal to -1; 0; 1
Step-by-step explanation:
if X=-1
3(-1) - 2y =6
-3 - 2y =6
-2y=6+3
-2y =9
y=
[tex] \frac{9}{ - 2} [/tex]
y=
[tex] - 4 \frac{1}{2} [/tex]
If X=0
3(0)-2y=6
0-2y=6
-2y=6+0
-2y=6
y=
[tex] \frac{6}{ - 2} = - 3[/tex]
y= -3
if X=1
3(1)-2y=6
3-2y=6
-2y=6-3
-2y=3
y
[tex] \frac{3}{ - 2} = - 1 \frac{1}{ 2} [/tex]
Factor 10w^2-31w+15
I'm really stumped lol
Answer:
[tex]10 {w}^{2} - 31w + 15 \\ \\ 10 {w}^{2} - 6w - 25w + 15 \\ \\ 2w(5w - 3) - 5(5w - 3) \\ \\ (2w - 5)(5w - 3)[/tex]
# be careful #
Urgent and pls explain thoroughly. O is the centre of the circle. OA, OB and OC are radii. Angle AOB = 72°.
Work out
a) angle OAB b) angle OCB c) angle ABC
Answer:
<ABC=90° <OCB=36° <OAB=54°
Step-by-step explanation:
<ABC=90°
<ocb= half of aob
<oab + <abc+<ocb=180°(triangle abc)
Answer:
a) ∠OAB = 54°
b) ∠OCB = 36°
c) ∠ABC = 90°
Step-by-step explanation:
a)
If O is the center of the circle, then OA and OB are both the radius. Therefore, OA = OB
This means that ΔAOB is an isosceles triangle, as is has two sides of equal length (OA and OB).
The angle between the equal sides (∠AOB) is called the vertex angle. The side opposite the vertex angle (AB) is called the base and base angles are equal. Therefore, ∠OAB = ∠OBA
Given:
The sum of the interior angles of a triangle is 180°∠AOB = 72°∠OAB = ∠OBA⇒ ∠OAB + ∠OBA + ∠AOB = 180
⇒ ∠OAB + ∠OBA + 72 = 180
⇒ ∠OAB + ∠OBA = 108
⇒ ∠OAB = 108 ÷ 2 = 54°
b)
Again, we can see that OB and OC are both the radius, so OB = OC. This means that ΔBOC is also an isosceles triangle, with ∠BOC as the vertex and BC as the base.
Calculate ∠BOC:
Given:
Angles on a straight line add up to 180°∠AOB = 72°⇒ ∠AOB + ∠BOC = 180
⇒ 72 + ∠BOC = 180
⇒ ∠BOC = 108°
Calculate ∠OCB:
Given:
The sum of the interior angles of a triangle is 180°∠BOC = 108°∠OBC = ∠OCB⇒ ∠OBC + ∠OCB + ∠BOC = 180
⇒ ∠OBC + ∠OCB + 108 = 180
⇒ ∠OBC + ∠OCB = 72
⇒ ∠OCB = 72 ÷ 2 = 36°
c)
Thales's theorem is a special case of the inscribed angle theorem and states that:
If A, B, and C are distinct points on a circle where the line AC is a diameter, then ∠ABC is a right angle.Given that AC is the diameter of this circle, and points A, B and C are on the circle, then ∠ABC = 90°
Solve for x. 4x + 3 = 35 Enter your answer in the box.
Answer:
x = 8
Step-by-step explanation:
4x + 3 = 35
subtract 3 from each side
4x = 32
divide 4 from each side
x = 8
Describing a System of Equations
Describe a system of linear equations that has no solution.
Answer:
If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
Answer:
Sample Response/Explanation: A system consisting of lines that do not intersect will have no solution. Lines will not intersect if they have the same slope, but different y-intercepts. Parallel lines have the same slope, which means they will never intersect.
Step-by-step explanation:
how to do subtracting unlike fractions easily?
Find the least common multiple of the denominators of the fractions. Write equivalent fractions that have the least common multiple as the denominator.
Please answer this (who ever answers correctly gets brainlest)
Answer:
0.171 m
Step-by-step explanation:
First, let's determine how many mm of track he has in total...
74mm+97mm=171 mm
Now, we can set up a unit converter to convert mm to m (note that 1 mm is [tex]10^{-3{[/tex] m)...
[tex]171mm(\frac{10^{-3}m}{1mm})[/tex]
The "mm" cancels out...
[tex]171*10^{-3}m=0.171m[/tex]
Answer:
Step-by-step explanation:
74 + 97 = 171 mm
Length of the train track = 171 mm = 171÷ 1000 = 0.171 m
I NEED HELP ASAP PLEASE
The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?
A. Yes, because 9*2 + 12*2 = 15*2
B. No, because 9*2 + 12*2 ≠ 15*2
C. No, because 9+ 12 ≠ 15.
D. Yes, because 9*2 + 12*2 > 15*2
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!
Given, m<7 = 108°
To find, m<3
Since both the given angles are on the same side of transversal, thus there sum is 180°
Thus, m<7 + m<3 = 180°
108° + m<3 = 180°
m<3 = 180° - 108°
m<3 = 72°
Hope this helps :)
7a + 3 ( a - 4) please help!!
Step-by-step explanation:
7a+3a-4
=10a-4
Hope this can help you
Answer:
2(5a-6)
Step-by-step explanation:
[tex]=7a+3(a-4)\\\\=7a+3a-12\\\\=10a-12\\\\=2(5a-6)[/tex]
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS ILL GIVE BRAINLKEST
Answer:
D. 14
Step-by-step explanation:
These triangles are something called a scale factor. A scale factor means when you multiply any side by that factor, you get the side of the other triangle. It is an exact copy of the triangle from before, just bigger or smaller, also known as set to scale. Here we can do 7/6 to find the scale factor (which is 1.16666666667), and multiply that factor by 12 to get 14.
Height:?
6 cm
1. The diameter of the cylinder is 6cm
as shown above. What is the height of
the cylinder if the volume is 282.6 cu.
cm. Show your work.
Answer:
h = 22.5
Step-by-step explanation:
Volume Cylinder = πr²h
Radius = diameter/2
radius = 3
Solve:
282.6 = π(2)^2(h)282.6 = 3.14 * 4 * h90 = 4h22.5 = h-Chetan K
Which numbers are less than 538? Select three options.
three hundred twenty-two
four hundred seventy-nine
five hundred thirty
five hundred forty
five hundred sixty-four
six hundred fifty-three
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
Answer:
I believe your answer is 9
Step-by-step explanation:
The way I found this answer was by assuming that triangle CDE was expanded to get triangle FGH. So I divided 18/4 and got the answer 4.5, which means that the triangle was expanded by a factor of 4.5. So I then multiplied the similar side to HG by 4.5 which was side ED. This got me with 4.5 x 2 and I got the answer 9.
Hope this helps! :)
PLEASE ANSWER ASAP
Which THREE expressions are equivalent to: (x + 6) + (x + 6) + (x + 6) + (x + 6) O 4(x + 6) 0 2 (x + 12) 2 + 12 + 22 12 3a + 6 + 1 = 6 тиб 42 = 24
Organizing the problem:
Which THREE expressions are equivalent to:
(x + 6) + (x + 6) + (x + 6) + (x + 6)
O 4(x + 6)
0 2 (x + 12)
2 + 12 + 22
12 3a + 6 + 1 = 6
тиб 42 = 24
Out of these selections, i can only tell that number one is correct, number two isn't, and i can't tell for the rest. Please organize the question more clearly.
--Hunter
what is the cubed root of 27?
Answer:
Cube root of 27 in radical form: ∛27???
Step-by-step explanation:
hope this helps
Some of the steps in Raya's solutions are shown.
Answer:
2. Distributive Property
4. Division Property of Equality
Step-by-step explanation:
2. The reason is Distributive Property since Raya distributed 2.5 to each term in the parentheses:
2.5(6.25x)+2.5(0.5)=11 --> 15.625x+1.25=11
4. The reason is Division Property of Equality since Raya divided both sides by 15.625.
A more in depth version of 3-4:
15.625x+1.25-1.25=11-1.25
15.625x=9.75
Divide both sides by 15.625 (division property of equality since she is dividing the same number from both sides of the equation)
x=0.624
( i ready ) i want to double check my answer
Answer:
Step-by-step explanation:
yeah you got it
i need help pls im only a small 8th grader i need help. its due at midnight and its 11.35 rn please have mercy <33
[1] y = 2x
- the line goes through the origin (0, 0) so there will be no b value
- the line, starting from (0, 0) goes up two and to the right 1 into the next point giving us a slope of 2/1 which simplifies to 2
[2] (0, 5)
- we can figure this out without graphing or plugging in values because (0, y) will be the y-intercept, or the b value
- in this case the value is 5
[3] y = 3x + 12
- it uses a different term than I am used too, but by "graident" I think they mean the slope
- if it has the same slope, then it will be a slope of 3
- if it passes through (0, 12) then again, this is the y-intercept or our b-value
Have a nice day!
-> See attached for more information on b values
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
A trapeziod is always an example of
Answer:
quadrilateral
Step-by-step explanation:
You read a book for 35 minutes. Then you played 4 computer games. Each game took 8 minutes to play
Answer:
Total time: 67 minutes
Step-by-step explanation:
35m + 4(8m) = 67m
Answer:
READING TIME :- 35 MINUTES
GAME TIME. :- 32 MINUTES
HOPE IT HELPS U!!!!
5m+3(m-3)+7=2m-1
Solve for x
Answer:
=> 5m+3(m-3)+7=2m-1
=> 5m+3m-9+7 = 2m-1
=> 8m-2 = 2m-1
=> 8m-2m = -1+2
=> 6m = 1
=> m = 1/6