Composite functions are multiple functions combined to form another function.
The value of the composite function (p - q)(2) is 5
To find (p - q)(2), we make use of the following composite function formula:
[tex](p - q)(x) = p(x) - q(x)[/tex]
Substitute 2 for x in the above formula
[tex](p - q)(2) = p(2) - q(2)[/tex]
From the table entries, we have:
[tex]p(2) =3[/tex]
[tex]q(2) = -2[/tex]
So, the equation becomes
[tex](p - q)(2) = 3 -- 2[/tex]
Rewrite the above equation as:
[tex](p - q)(2) = 3 + 2[/tex]
Take the sum of 3 and 2
[tex](p - q)(2) = 5[/tex]
Hence, the value of (p - q)(2) is 5
Read more about composite functions at:
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help me pwease!!!!!!!!!
Domain is [tex]0 \le x \le 12[/tex]
Range is [tex]0 \le y \le 900[/tex]
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Explanation:
The smallest x can be is x = 0. The largest x can be is x = 12. This is shown as the left-most and right-most values of the graph. We could have x be anything between 0 and 12, including both endpoints, so we say the domain is [tex]0 \le x \le 12[/tex]. Recall the domain is the set of all allowed x inputs of a function.
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The range is the set of all possible y outputs. The smallest y output possible is y = 0, and the largest is y = 900. The range is therefore [tex]0 \le y \le 900[/tex] meaning y is between 0 and 900, including both endpoints.
Both domain and range endpoints happen to be at the x and y intercepts. This won't always be the case.
g) 145
Let's convert each of the following binary numbers into decimal number
a) 11, b) 101, c) 110 d) 1010
e) 1100
f) 10010,
g) 11111, h) 111010, i) 111001, 1 1100101
5. Let's convert each of the following decimal numbers into binary numbers.
a) 7
b) 18
c) 25
d) 72
e) 99
f) 124
h) 216 i) 308
i) 417
6. Let's convert each of the following quinary numbers into decimal numbers.
a) 13.
b) 24, c) 32
e) 203,
f) 340,
g) 1203, h) 2113 i) 1234, i) 4444
7. Let's convert each of the following decimal numbers into quinary numbers.
a) 9
b) 13
c) 27
e) 126
f) 212
h) 670 i) 1126 1 4025
d) 120,
d) 55
g) 512
Answer:
To convert binary into decimal, multiply each binary digit with a power of 2 corresponding to its position.
So for example 1010 would be 1·2³ + 0·2² + 1·2¹ + 0·2⁰ = 8+2 = 10 in decimal.
now you can calculate the answers yourself!
To convert decimal into binary, you can use the following approach:
Write down the answer from right to left
A. if your number is odd, write down a 1, if it is even, write a 0
B. divide the number by 2 and round down, ie. discard any decimals (e.g., 7 / 2 = 3)
C. repeat step A until your number is 0.
example:
18 -> write down 0
18/2 = 9 -> write down 1
9/2 = 4 -> write down 0
4/2 = 2 -> write down 0
2/2 = 1 -> write down 1
1/2 = 0 finished
The result is 10010.
Kristen has an area of 70 square feel for a flower garden she plants 5 varieties of flowers equally in her garden which ratio shows the square feel per flower type
Answer:
Each flower type area ratio = 14 ft²
Step-by-step explanation:
Given:
Total area = 70 ft²
Total equal varieties = 5
Find:
Each flower type area ratio
Computation:
There is 5 equal part of land
So,
Ratio = 1:1:1:1:1
Assume each part cover = x
So
Total area = 5x
5x = 70 ft²
x = 14 ft²
Each flower type area ratio = 14 ft²
equivelnt to 3(4h+2k)
Answer:
I would assume it would be 12h+6k
Answer:
Step-by-step explanation:
Use distributive property
a(b+c) = a*b + a*c
3(4h + 2k) = 3*4h + 3 *2k
= 12h + 6k
How many real number solutions does the quadratic below have? y=2x^2-10x+6
Answer:
2 real number solutions.
Step-by-step explanation:
You check the value of the discriminant b^2 - 4ac.
Here it = (-10)^2 - 4*2* 6)
= 100 - 48
= 52. (Positive)
This means that it has 2 real number solutions.
If the discriminant = 0 it has one real number solution and if negative it has no real number solutions.
Answer:
i think its 2 real number
Step-by-step explanation:
Ques 1 : Simplify the following 2*2 42128 33+23 16+3 416 89 * 73 315- 216
Answer:4,42128,56,19,416,6497,99
Step-by-step explanation:
Which are the coordinates of the x-intercept in the equation −4x+5y=20 ?
Answer: (-5,0)
Step-by-step explanation:
-4x + 5y = 20 the x intercept is when y is zero so input zero into the equation and solve for x.
-4x + 5(0) = 20
-4x = 20
x = -5
please help :) Kiran explores the growth of a plant in natural light, then repeats the experiment with the same plant type but different colored filters. A. asking a question B. performing an investigation C. collecting data D.providing explanations E. communication results
Answer:
Its c
Step-by-step explanation:
I answered this same question Heh. Its c because you have to collect the data in order to record the growth of each plant.
What do the expression (3³) and (3⁴) have in common?
Answer:
Both terms have the same base.
Step-by-step explanation:
While they share the same base, 3, their powers differ (one to the cube, and the other to the quartic).
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▹ Answer
Both of them have the same base.
▹ Step-by-Step Explanation
The exponential quantity differs, but 3³ and 3⁴ both have the same base number of 3.
Hope this helps!
CloutAnswers ❁
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Write each polynomial in standard form. identify the leading coefficient.
how do i solve (−7z 4 )(7z)
Answer:
-49z^5
Step-by-step explanation:
(−7z^ 4 )(7z)
Multiply the numbers together
-7*7 = -49
Add the exponents
z^4 * z = z^4 * z^1 = z^(4+1) = z^5
Put back together
-49z^5
Hi pls help if you’re good at trigonometrytysm
Answer:
a = 80
b = 310
c = 96
Step-by-step explanation:
1)
20 + a + a = 180
2a + 20 = 180
2a = 160
a = 80
2)
180 - 65 - 65 + b = 360
b + 50 = 360
b = 310
3)
52 + c + 32 = 180
c + 84 = 180
c = 96
Solve the equation (show work if possible)
Answer:
-10 is right answer
Step-by-step explanation:
see in attached picture
hope it helped you:)
Answer:
[tex] \frac{r}{2} + 2 = - 3[/tex]
[tex] = ) \frac{r + 4}{2} = - 3[/tex]
[tex] = )r + 4 = - 6[/tex]
[tex] = )r \: = - 6 - 4[/tex]
[tex] = )r \: = - 10[/tex]
There are 65 children in a form 1. There are 15 more boys than girls. What is
the ratio of boys to girls, in its simplest form?
Answer:
8:5
Step-by-step explanation:
there are 25 girls, and 40 boys, so you find the common factor between them,which is 5 and divide each number by 5.
25/5=5 girls
40/5=8 boys
so the ratio of boys to girls is 8:5
Estimate the median number of texts sent per day by this group of middle school students.
Answer:
33 i think
Step-by-step explanation:
Answer:
49.5 texts
Step-by-step explanation:
The total number of students is
11+21+33+23+12 = 100
The middle is 50
150 is in the middle group
The median will be between 40 -59
The best estimate for the median is to add the 40+59 and divide by 2
(40+59)/2 = 99/2 = 49.5 texts
The square of 1 3/4 is
Answer:
169/16
Step-by-step explanation:
13/4
what is a square at first
a square is the result of multiplying a number by itself
so the square of 13 will be 169
and the square of 4 will be 16
so easy...bingo
What is the value of 12 (8 + 9)?
Answer:
204
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Parenthesis
12(17)
Step 2: Multiply
204
Answer: 204
Step-by-step explanation: Following your order of operations, you should simplify what's inside the parenthses first. So (8 + 9) simplifies to 17.
Bring down your 12 and you have 12(17) which equals 204.
Which of the following is equivalent to 2x2 + 9x + 9?
(x - 3)(2x - 3)
(x + 3)(2x + 3)
(x - 9)(2x - 1)
(x + 9)(2x + 1)
Answer:
(x+3)(2x+3)
Step-by-step explanation:
Factor:
2x^2+9x+9
=(2x+3)(x+3)
Answer:
(x + 3)(2x + 3)
Step-by-step explanation:
Sum = 9
Product = 2*9 = 18
Factors = 6 ,3
2x² + 9x + 9 = 2x² + 6x + 3x + 3 * 3
= 2x ( x + 3) + 3( x + 3)
= (x +3)(2x + 3)
Kyle lives in a state that has 6% sales tax. If c represents the cost of an item and t represents the sales tax on the item, which equation expresses the relationship between these two variables
Answer:
t = 0.06c
Step-by-step explanation:
Given the following :
Percentage sales tax on items = 6%
Cost of item = c
Amount of sales tax on item = t
Amount of sales tax is the product of the sales tax percentage and the cost of item purchased
Hence, Amount of sales tax;
t = 6% × cost of item (c)
t = 0.06 × c
t = 0.06c
convert 2.16161616 to a rational number in the form of a/b
Answer:
[tex]\frac{214}{99}[/tex]
Step-by-step explanation:
We require to create 2 equations with the repeating digits after the decimal point. Then by subtracting them we eliminate the repeating part.
let x = 2.1616.... → (1)) ← multiply both sides by 100
100x = 216.1616..... → (2)
Subtract (1) from (2)
99x = 214 ( divide both sides by 99 )
x = [tex]\frac{214}{99}[/tex]
Alan buys 5.3 ounces of sour patch kids candy. After sharing with his friends he returns to buy an additional 6.75 ounces. How many ounces did he buy in all?
Answer:
Alan buys 12.05 ounces of sour patch kids candy in all.
Step-by-step explanation:
We are given that Alan buys 5.3 ounces of sour patch kids candy. After sharing with his friends he returns to buy an additional 6.75 ounces.
And we have to find the total ounces he buys in all.
As we know that for finding the total quantity or amount, we will use addition for calculating it.
Firstly, Alan buys = 5.3 ounces of sour patch kids candy
Additional ounces of sour patch kids candy Alan buys = 6.75
So, the total ounces of sour patch kids candy he buys in all = 5.3 + 6.75
= 12.05 ounces
Hence, he buys 12.05 ounces in all.
Help help help help help
lets say for the first transformation x=1 and y=2
the transformation results in quadrant 2 (originating in quadrant 1) telling us it was a 90° counter-clockwise turn
for the second transformation we can let x=3 and y=4
transformation 2 results in quadrant 3 (originating in quadrant 1) telling us it was a 180° counter-clockwise turn
HOPE THIS HELPS!!!! :)
<333333333
help me its my math....
If two parallel lines are cut by a transversal,
then alternate interior angles are congruent.
Since one alternate interior angle measures 60 degrees,
the other alternate interior angle must also measure 60 degrees.
What is the power
property of exponents?
A cubic polynomial can have atmost
---zeros
Answer:
3Step-by-step explanation:
Any polynomial can only have as many zeros as is the highest exponent at x.
A cubic polynomial it's: ax³+bx²+cx+d. The highest exponent at x is 3 so it is the largest number of its zeros.
how does the value of the 9 in 857.9 differ from the value of 9 in 798.21
Step-by-step explanation: The 9 in 857.9 differs from the value of 9 in 798.21 because in 857.9, the 9 is in the tenths place, while in 798.21, it is in the tens place.
Which of the following is a like radical to RootIndex 3 StartRoot 6 x squared EndRoot? x (RootIndex 3 StartRoot 6 x EndRoot) 6 (RootIndex 3 StartRoot x squared EndRoot) 4 (RootIndex 3 StartRoot 6 x squared EndRoot) x (RootIndex 3 StartRoot 6 EndRoot)
Answer:
4 (RootIndex 3 StartRoot 6 x squared EndRoot) = 4[tex]\sqrt[3]{6x^2}[/tex]
Step-by-step explanation:
Added radical forms to the question for better visibility.Which of the following is a like radical to RootIndex 3 StartRoot 6 x squared EndRoot = [tex]\sqrt[3]{6x^2}[/tex] ?
x (RootIndex 3 StartRoot 6 x EndRoot) = x[tex]\sqrt[3]{6x}[/tex] 6 (RootIndex 3 StartRoot x squared EndRoot) = 6[tex]\sqrt[3]{x^2}[/tex] 4 (RootIndex 3 StartRoot 6 x squared EndRoot) = 4[tex]\sqrt[3]{6x^2}[/tex] x (RootIndex 3 StartRoot 6 EndRoot) = x[tex]\sqrt[3]{6}[/tex]SolutionLike radicals are radicals that have the same root number and expression under the root.1) x[tex]\sqrt[3]{6x}[/tex] = [tex]\sqrt[3]{6x^4}[/tex]
No, incorrect2) 6[tex]\sqrt[3]{x^2}[/tex] = [tex]\sqrt[3]{6^3x}[/tex]
No, incorrect3) 4[tex]\sqrt[3]{6x^2}[/tex]
Yes, correct4) x[tex]\sqrt[3]{6}[/tex] = [tex]\sqrt[3]{6x^3}[/tex]
No, incorrectCompared with the given radical, we can see from the given choices only 3rd choice is like radical with [tex]\sqrt[3]{6x^2}[/tex]
Answer:
c
Step-by-step explanation:
i just did it
Question 2 (10 points)
(01.03 MC)
A plane can fly 11 miles per minute. The plane will fly 6 trips, and each trip is 500 miles. How many hours will the plane fly?
Answer:
4hrs 33mins
Step-by-step explanation:Speed = 11m/min
Total distance=500miles*6=3000miles
Total time= 3000miles/11m/min=273minutes = 4hrs 33mins
30 x + 7 (3 - 4 x) =
Answer:
I'm a bit rusty. But try 58x +21
Hope I helped you.
A 3 L bottle of oil costs $36 and contains 12 cups. Dinesh puts 1 cup of oil, 10 garlic gloves and 1 cup of lemon juice in each batch of hummus recipe that he makes. Dinesh makes 5 batches of hummus. What is the total cost of oil that he uses in the 5 batches of his recipe?
Answer:
$15
Step-by-step explanation:
Let's start by figuring out how much 1 cup of oil costs.
12 cups of oil is 36$
Let's set up a proportion.
12/36=1/x
Cross Multiply
12x=36
Divide both sides by 12.
x=3
1 cup of oil is $3.
Dinesh makes 5 batches of hummus, and each batch requires 1 cup of oil.
5*1=5
This means he needs 5 cups of oil.
5*3=15
He used $15 worth of oil in the 5 batches of his recipe.
However, since it is impossible to buy 5/12 bottles of oil, he would have needed to spend $36.