Composite functions are functions of functions. The needed composite function for given context is: [tex]P(J(y)) = \dfrac{2}{3}J(y) - 2[/tex]
What are function of functions and how are they represented?Function of function, as the name suggests, are functions applied over functions themselves. This is also called function composition.
We have input. We apply one function on that input. Then we apply another function on the output obtained by the first function. This whole function application on first input is called function of functions. The resultant function which maps the input x to the final output is called function of function.
If first function is g( and the other function is f, then we can write the resultant function of function as [tex](f\circ g)(x)[/tex]input to first function.
Thus, we have;
[tex](f\circ g)(x) = f(g(x))[/tex]
For the given case, it is given that:
[tex]P(w) = \dfrac{2}{3}w - 2[/tex][tex]J(y)[/tex]To evaluate how many paintings Jojo completes in a year, we need [tex]P(J(y))[/tex] (since, we need number of paintings and input is year, so we convert year to number of weeks by function J, and then give the output to P function to evaluate number of paintings)
Thus,
[tex]P(w) = \dfrac{2}{3}w - 2\\\\P(J(y)) = \dfrac{2}{3}J(y) - 2[/tex]
Thus,
The needed composite function for given context is: [tex]P(J(y)) = \dfrac{2}{3}J(y) - 2[/tex]
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Benita buys 2 shirts for the same price s the taxe sale rate is 6.5%
Answer:
2s + 0.13s
2.13s
Step-by-step explanation:
One shirt costs s.
2 shirts cost 2s.
The tax rate is 6.5%, so the tax on 2s is 0.065 × 2s = 0.13s
The total cost with tax is 2s + 0.13s
You can also find the total cost by realizing that since the tax is 6.5%, the total price with tax is 1.065 times the cost, so you can write it as 1.065 × 2s = 2.13s
Answer:
2s + 0.13s
2.13s
Answer:
2.13s
and
2s+0.13s
Step-by-step explanation:
Because 2 shirts is s and 6.5 per cent would turn into 6.5 because of 2 times 1.065 is 0.13 which is the answer for part 2
A business assistant must leave more than $50 in the supply account. There is $200 in the account. The assistant needs to order x boxes of pens that cost $10. 50 each. What is the maximum number of boxes of pens the business assistant can buy? 10 boxes 14 boxes 15 boxes 23 boxes.
Answer:
14 Boxes Of Pens
Step-by-step explanation:
Hope This Helps :)
Oscar bought a circular cover for his backyard spa with an area of 48 square feet. How can Oscar best determine the radius of the spa cover? A Divide 48 by , then take the square root of the quotient. B Take the square root of 48, then divide the quotient by T. C Multiply 48 byt, then multiply the product by itself. D Take the square root of 48.
Answer:
it is very hard questions but i give answer
Write the equation of a line parallel to the line y = 3x+5 and passes through the point (-7, 2)
Answer:
y=3x+23
Step-by-step explanation:
Parallel lines have the same slope, so we basically keep the same equation, but we find the new y-intercept so it accounts for (-7,2):
y = 3x + b
2 = 3(-7) + b
2 = -21 + b
23 = b
Therefore, your equation would be y=3x+23
The cost of a sweatshirt is 175% the cost of a T-shirt. A T-shirt costs $13.
What is the cost of 3 sweatshirts?
Enter your answer in the box.
Answer:A standard blank t shirt will usually start at around $1 each and go up to $4. These are going to be cotton, good quality shirts. The price difference will vary on manufacturer, brand, color and cut. So a plain white t shirt might only be $1, where the same shirt in navy blue might be $2.
Step-by-step explanation:
If you want a profit of 50% off the retail price, the calculation is straightforward. Let's say the production cost of your t-shirt amount to ₹300. When you multiply it by two, you get ₹600. And that would be the retail price of each t-shirt piece
what is 8x =72 please help me know tank you
Answer:
x = 9
Step-by-step explanation:
this is because 8 times 9 = 72
what percent is 700 paise of 7 rupees
To find :-
What percent is 700 paise of 7 rupees .Solution :-
As we know that,
→ ₹1 = 100 p
So ,
→ 700p = ₹ 700/100
→ 700p = ₹ 7
Now let's calculate % , as ;
→ 700p / ₹7 * 100 %
→ ₹7/₹7 *100 %
→ 1 *100%
→ 100%
Hence 700p is 100% of ₹7 .
I hope this helps.
Step-by-step explanation:
We know that ,
1rupees = 100 paise
so , 7 rupees = 700 paise
We have to find the percentage of 700 paise of 7 rupees
Calculating Percentage ,
700paise/7rupees×100
7/7 × 100%
= 100%
Is this a proportion? show your work is please!
8/24 = 21/63
Answer:
1/3
Step-by-step explanation:
yes, this is a proportion ie 8 is equal to 21 then 24 is 24 ×21 ÷8 = 63.
I need help! really help!
Answer:
B and I
Step-by-step explanation:
1 x 3 = 3
2 x 3 = 6
3 x 3 = 9
etc.
12 x 3 = 36
Darlene is making a quilt that has alternating stripes of regular quilting fabric and sateen fabric. She spends $76 on a total of 16 yards of the two fabrics at a fabric store. Sateen fabric costs $6 per yard and quilting fabric costs $4 per yard. Which system of equations can be used to find the amount x (in yards) of regular quilting fabric and the amount y (in yards) of sateen fabric she purchased?
Answer:
[tex]\left \{ {{6x+4y=76} \atop {x+y=16}} \right.[/tex]
Step-by-step explanation:
1) if (according to the condition) the amount of quilting is 'x' and the amount of sateen is 'y', then the price of the quilting fabric is 6*x and the price of then sateen fabric is 4*y;
2) the 76$ she spends can be written as 6x+4y=76;
3) total of 16 yards can be written as x+y=16;
4) finally, the required system is:
[tex]\left \{ {{6x+4y=76} \atop {x+y=16}} \right.[/tex]
A system of equations is a collection of two or more equations with a same set of unknowns. 4x+6y=76, x+y=16 are required system of equations.
What is system of Equations?A system of equations is a collection of two or more equations with a same set of unknowns.
According to the condition the amount of quilting is 'x' and the amount of sateen is 'y', then the price of the quilting fabric is 4x and the price of then sateen fabric is 6y;
the 76$ she spends can be written as 4x+6y=76;
Total of 16 yards can be written as x+y=16;
So the required system of Equations is:
4x+6y=76
x+y=16
Hence Option C is correct. 4x+6y=76, x+y=16.
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You buy a bicycle helmet for $22.26, which includes 6% sales tax. The helmet is discounted 30% off the selling price. What is the original price?
Answer:
The original price of the helmet is 30$
Step-by-step explanation:
diamond is playing a game in the game she has to spin a spinner that is divided into equal sections of orange, red, purple, and pink what is the probability that on her first spin she will land on pink and then red on her second spin?
Answer:
1 out 4
Step-by-step explanation:
Solve.
y = –4x + 10
y = –3x + 5
Answer:
(5, -10)
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}y=-4x+10&\\y=-3x+5\end{cases}[/tex]
Substitute the first equation into the second:
[tex]\implies -3x+5=-4x+10[/tex]
SOLVING FOR X.
Step 1: Add 4x to both sides.
[tex]\\\implies-3x+4x+5=-4x+4x+10\\\\\implies x+5=10[/tex]
Step 2: Subtract 5 from both sides.
[tex]\\\implies x+5-5=10-5\\\\\implies \boxed{x=5}[/tex]
SOLVING FOR Y.
Step 1: Substitute [tex]x=5[/tex] into any of the given equations.
[tex]\\\implies y=-4(5)+10[/tex]
Step 2: Simplify.
[tex]\\\implies y=-20+10\\\\\implies \boxed{y=-10}[/tex]
The solution to the system of equations is (5, -10).
Solve for x. I’ll give points!
Answer:
x = 5explanation:
solving similarities:
bigger triangle is double of the smaller triangle.
balancing them:
→ x + 9 = 2(2x - 3)
→ x + 9 = 4x - 6
→ 4x - x = 9 + 6
→ 3x = 15
→ x = 5
[tex]→x + 9 = 2(2x - 3)[/tex]
[tex]→x + 9 = 4x - 6[/tex]
[tex]→ 4x - x = 9 +6[/tex]
[tex]→ 3x = 15[/tex]
[tex]→ x = 5[/tex]
An analogue clock is gaining three minutes every hour.If you set it to the correct time at 6 p.m. in Saturday,when will it show the correct time again?
Answer:
The correct time will be shown again at 6pm on Monday
Just need help with the problems that have X’s next to them.
Answer:
Here's the ones I got so far
Step-by-step explanation:
38% of 250 = 95
7.5(3 * 7 + 4) = 187.5... x = 7
28 + x > 42... X can be 67, 96, 54
380 / 5 = 76 each hour
3 gallons of gas for 1 hour, 3 x 15 hours = 45 gallons
COP = 0.75, havent found rule, if i do ill comment
shaded triangle = 40..... 8 × 10 / 2= 40... explanation: a triangle (right in this case) would be divided by 2 because its half of a square / rectangle.
Evaluate for M = 10, N = -5, and P = -2 .
Answer:
10/-5 =2/-1 = -2
Step-by-step explanation:
If this does not help, just ignore it honestly.
What is the percent of change from 5 to 8?
Answer:
60%
Step-by-step explanation:
5-8/5 * 100%= 60%
The percentage change from 5 to 8 is given by A = 60 %
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the percentage change be represented as A
Now , the equation will be
Let the first number be p = 5
Let the second number be q = 8
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
On simplifying the equation , we get
Percentage change A = [ ( 8 - 5 ) / 5 ] x 100
Percentage change A = ( 3/5 ) x 100
Percentage change A = 60 %
Hence , the percentage change is 60 %
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1) If 13cos theta =5 then tan theta =?
Answer:
here sin theta = 5/13, and cos theta = 12/13
Step-by-step explanation:
so here tan theta = 5/12 [ as given ] tan=opposite/adjacent so sin=opposite/hypo and cos = adjacent/hypo
Brainliest?!
Sean and his sister, Betty, mow 8/9 of the total area of their lawn. If they divide the chore equally, what fraction of the total area does Sean mow?.
Answer:
[tex]\frac{4}{9}[/tex]
Step-by-step explanation:
There are two of them, so we will divide the lawn area mowed by 2.
[tex]\frac{8}{9}/\frac{2}{1}= \frac{8}{9}*\frac{1}{2}=\frac{8*1}{9*2} =\frac{8}{18} =\frac{4}{9}[/tex]
-> This also can be simplified with seeing that 8 / 2 = 4, so [tex]\frac{4}{9}[/tex], but I wanted to show the whole mathematical process.
What is the domain of the function on the graph?
5
A. all real numbers
4+
3
B. all real numbers greater than or equal to -2
C. all real numbers greater than or equal to -5
all real numbers greater than or equal to 0
2+
i
1
5 4 3 2 11
1
2.
3
4 5
x
-2
-3
ov
-4
You can solve it by yourself only as no graphs attached.Steps provided below
First locate the starting pair of co-ordinates on function.Mark that
.If a. pair be (x,y) x is domain and y is range.Do same and find end points.Now unite both using interval notation
Question shown in image. Worth 100 points
Answer:
75 degrees
Step-by-step explanation:
The corresponding angle is 75 degrees
Answer:
75 Degrees
Step-by-step explanation:
They are corresponding which would be 75 Degrees
Mins bought 4 1/2 pounds of cheddar cheese she used 1 1/3 pounds to make sandwiches how much cheese does she have left
Please help I attached a photo.
Answer:
55w + 145
Step-by-step explanation:
Total = all accounts, so you have to add 10w to 45w, and 120 to 25
10w + 45w = 55w
120 + 25 = 145
So the answer is 55w + 145
The graph of y = x2 – 4 is shown... What are the solutions to x2 – 4 = 0?
Solition for [tex]x^2-4=0[/tex] is [tex]\pm2[/tex]
Ans: x₁=-2; x₂=2
**i would appreciate it if someone helped! ** Here is a number pyramid puzzle.
Fill in each blank with a number so that every number
is the product of the two numbers directly below it.
Answer:
*
Step-by-step explanation:
- 96
-8 12
- 4 2 6
4 -1 -2 -3
16 .25 -4 .5 -6
Each circle along with the number to be filled in it is mentioned below.
What is a Number Sequence?Number sequence is a progression or an ordered list of numbers governed by a pattern or rule.
Given is a pyramid puzzle.
The rule to be followed in order to complete this pyramid is as follows "Every number is the product of the two numbers directly below it".
Fill Circle [1] with the number 72.
Fill Circle [2] with the number 6.
Fill Circle [3] with the number 3.
Fill Circle [4] with the number 6.
Fill Circle [5] with the number 0.75.
Fill Circle [6] with the number -2.
Fill Circle [7] with the number 16.
Fill Circle [8] with the number 3.
Fill Circle [9] with the number -6.
Therefore, each circle along with the number to be filled in it is mentioned above.
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what is 3 times 34 divided by 2 plus 8 times 5
Answer: 91
Step-by-step explanation: 3 times 34 is equal to 102... let us work out the problem together.
3 x 34 = 102
now we must divided 102 by 2 which will equal 51
Now the final step is to do 8 times 5
8 times 5 = 40
51 plus 40 = 91
this is the correct way to do the equation.
so our final answer is 91
If I multiply my age in six years' time by three, the resulting age is my mother's age now. If my
mother is currently 48 years old, how old am I?
Answer:
I think 30
Step-by-step explanation:
I don't know I could be wrong
Answer:
10
Step-by-step explanation:
let your current age be x.
mother's age=48
3(x+6)=48
3x+18=48
3x=30
x=10
Plzzzzzz help meeeeee
Answer:
C
Step-by-step explanation:
The picture
help for brainiest asap pleaseeeeee
Answer:
angle A = 45°
angle B = 110°
angle C = 25°
Answer:
i hope this will help uh.