Part 1) Computing (p °q) (5)
[tex]p(x) = x-3\\\\p(q(x)) = q(x)-3\\\\(p \circ q)(x) = 2x-5-3\\\\(p \circ q)(x) = 2x-8\\\\(p \circ q)(5) = 2(5)-8\\\\(p \circ q)(5) = 2\\\\[/tex]
Answer: 2===========================================================
Part 2) Computing (q °p) (5)
[tex]q(x) = 2x-5\\\\q(p(x)) = 2(p(x))-5\\\\q(p(x)) = 2(x-3)-5\\\\(q \circ p)(x) = 2x-6-5\\\\(q \circ p)(x) = 2x-11\\\\(q \circ p)(5) = 2(5)-11\\\\(q \circ p)(5) = -1\\\\[/tex]
Answer: -1Which statement BEST describes how the graph of g(x) = – 3x2 compares to the graph of f(x) = x2 ?
A
The graph of g(x) is a reflection of f(x) across the x-axis.
B
The graph of g(x) is a vertical shrink of f(x) by a factor of 1/3 and a reflection across the x-axis
C
The graph of g(x) is a vertical stretch of f(x) by a factor of 3.
D
The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.
The transformations of f(x) are (d) The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.
How to describe the transformation from the parent function?From the question, we have the following function that can be used in our computation:
f(x) = x²
g(x) = -3x²
Mathematically, these equations can be represented as
g(x) = -3f(x)
The above equations implies that, we have the transformation to be:
The 3 implies that the function f(x) is vertically stretch by a factor of 3The - implies that it is reflected across the x-axisHence, the transformed function is (d)
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Bob purchased 2 hot dogs and 1 hamburger for S10. Later that day, Bob had to purchase more food and
Bot 1 hot dog and 3 hamburgers for S15. What were the prices of the hamburger and hot dogs?
Answer:
Hotdog: $3.00
Hamburger: $4.00
Step-by-step explanation:
For the first time that Bob buys food, we can make an equation to find how much a single hotdog and a single hamburger costs, where:
x = cost of a hotdog
y = cost of a hamburger
He bought 2 hotdogs and 1 hamburger for $10, so the equation for his first time buying food is:
2x + y = 10
For the second time buying food, he bought 1 hotdog and 3 hamburgers for $15, so his equation would be:
x + 3y = 15
To find the value for x and y we need to solve this system of equations using the two equations we just came up with. We can do this multiple ways, but I'll be demonstrating the substitution method.
Using the second equation, we can solve for x by simply subtracting 3y from both sides:
x = 15 - 3y
We can then insert this value of x into the first equation so that way we are only dealing with one variable to solve - y:
2(15-3y) + y = 10
Distribute out the 2 into the paratheses, combine like terms, and then solve for y:
30 - 6y + y = 10
30 - 5y = 10
-5y = -20
y = 4
This means the cost for one hamburger is $4. But we still need to find the price of one hotdog, so we can insert this value of y into the equation we came up with earlier for x, and then solve for x:
x = 15 - 3y
x = 15 - 3(4)
x = 15 - 12
x = 3
So the price of one hotdog is $3 and the price of one hamburger is $4. Hope this helps.
How can areas of composite 2-D figures be found using simple 2-D shapes?
Answer:
hmm length x breadth... I'd simple formula
Solve the inequality and graph the solution.
j/4>2
Answer:
J=8
Step-by-step explanation:
Multiply 4 by 2 and then you get 8 and 8/4 is 2 so J = 8
sorry if im incorect
one answer.
Select
Suppose the average player in the NBA is 78 inches tall with
a standard deviation of 2.7 inches, while the average player 10 points
in the WNBA is 69 inches tall, with a standard deviation of 3.2 inches. Who is
relatively taller based on their comparison to their profession, Lebron James
(NBA) at 81 inches or Candace Parker (WNBA) at 76 inches?
A. O LeBron is relatively taller because he has a larger Z-score.
B. O LeBron is relatively taller because he has a smaller z-score.
a
c. O Candace is relatively taller because she has a larger Z-score.
D. O Candace is relatively taller because she has a smaller Z-score.
Using z-scores, it is found that the correct option is:
c. Candace is relatively taller because she has a larger Z-score.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.For the z-score of Lebron's height, we have that: [tex]X = 81, \mu = 78, \sigma = 2.7[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{81 - 78}{2.7}[/tex]
[tex]Z = 1.11[/tex]
For the z-score of Candace's height, we have that: [tex]X = 76, \mu = 69, \sigma = 3.2[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{76 - 69}{3.2}[/tex]
[tex]Z = 2.19[/tex]
Due to the higher z-score, Candace is relatively taller, hence option c is correct.
A similar problem is given at https://brainly.com/question/12982818
The sum of two numbers is 43. The smaller number is 7 less than the larger number. What are the numbers?
Answer:
the expressions are: x + y = 43 and x - 13 = y
x = 28
y = 15
Step-by-step explanation:
hope this helps
may i get braineist pls
Answer:
Smaller is 18, larger is 25.
Step-by-step explanation:
x + y = 43
y = x - 7
x + (x - 7) = 43
2x - 7 = 43
2x = 50
x = 25 (larger)
25 - 7 = 18 (smaller)
13*100 i am tired rn
Answer: 1300
Step-by-step explanation:
13*10 = 130*10=1300
Answer:
1300
Step-by-step explanation:
same bro I getting paid from doing people homework
Pls help I’ll brainlest ASAP I’ll add extra points
Answer:
I think the slope is -1/-4 or - 1/4
The roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?
x = –1 and x =
Answer:
x=3
Step-by-step explanation:
factoring
set to 0
So; 1. Find the sum of 64.2 + 3.4 =_____ Find the difference 514 - 1.72=_____
FOR MY BROTHER TWIN'S
" Please answer this today☺️ "
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
Please help meee! I will give brainlist to quickest answer !!!
What is the equation of this graphed line?
Answer:
You said quick so here it is
[tex]y-6=2(x-2)[/tex]
Pls help my child has no clue and this math is too hard for me to understand!!
Answer: 160
Step-by-step explanation: The questions says that there are 144 which make up 90% of the total group.
What is the other 10%? To figure this out, we can set up a proportion which we can do in the following way:
144/t = 90/100
From here, you can cross multiply 144 x 100 = 14,400
90t = 14,400
t= 160
You can always check by plugging 160 into t to make sure the proportion is equal. I picked t as my varriable of choice which stands for team members. But you can pick an varriable (letter) to find an unknown.
In practice, is best that your child uses a calculator because in the real world, its a practical handy tool and one doesn't have time to memorize every detail by doing that long division. Once your child gets the hang of practicing setting up proportions, your child can solve a variety of problems without going back in circles.
Hope this explanation helps. Best of luck to you and your child.
PLEASE HELP I WILL MARK YOU BRAINLEST!!!
please read the question on the photo and these are the choices bellow!!
A-translation, reflection
B- rotation, reflection
C-reflection, rotation
D-rotation, translation
Answer:
D.
Step-by-step explanation:
Jabari drives 20.4 miles in 17 minutes. He passes a sign which gives the speed limit as 55 mph. By how much, in mph, did Jabari's average speed exceed the speed limit?
Jabari's average speed exceed the speed limit by 17 miles per hour
Given:
Total distance = 20.4 miles
Time taken = 17 minutes
convert minutes to hour
60 minutes = 1 hour
17 minutes = 0.283333 hour
Average speed = Total distance ÷ Time taken
= 20.4 ÷ 0.283333
= 72.00008470598200
Approximately, 72 miles per hour
Speed limit = 55 miles per hour
Exceeded speed limit = 72 - 55
= 17 miles per hour
Therefore, Jabari's average speed exceed the speed limit by 17 miles per hour
Learn more about average speed:
https://brainly.com/question/4931057
The US average life expectancy at birth is 79.1 years. The National Sleep Foundation guidelines
recommend that adults (age 18 and up) should get 7.5 hours of sleep per night.
a) Assuming there are 365.25 days in one year, how many minutes of sleep does the person of
average life expectancy get during their adult years?
b) How many hours is this person awake during their adult years?
Answer: It depends on how many years a person lives.
Step-by-step explanation:
Select the best estimate for the quotient.75.1÷9=
Answer:
8.3 44444 is the answer
Step-by-step explanation:
im giving my friends 9 cupcakes thats 60 percent of my order how many more cupcakes do i need to get my order to 100 percent
Answer:
6 more cupcakes.
Step-by-step explanation:
60% of 15 is 9, so 15-9 is 6.
The number of cupcakes needed to get the order to 100% is 6 cupcakes.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
60% = 9 cupcakes
Multiply 100/60 on both sides.
100/60 x 60% = 100/60 x 9 cupcakes.
100% = 5 x 3 cupcakes
100% = 15 cupcakes
Thus,
6 more cupcakes are needed.
Learn more about percentages here:
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The diameter of a circle fits around the circle ______ times.
Answer:
it fits around [tex]\pi[/tex] times which is approximately 3 times
Step-by-step explanation:
[tex]\pi[/tex]
PLEASE HELP ME PLEASE
Answer:
5
Step-by-step explanation:
Find a unit vector in the direction of ⃗PQ if P = (4, -7) and Q = (2, -3)
Please help!! Thank you!!!!
Answer:
total cost = 10 • months + 100
Step-by-step explanation:
The $100 application fee is extra, only needed to pay once. The $10 per month is multiplication. $10 • the number of months.
help pls and thank you
Answer:
A. $10
Step-by-step explanation:
They make $10 profit an hour.
The sum of two numbers is 30. Their difference is 12. Use substitution to solve a system of equations to solve for the two numbers.
Answer:
9 and 21
Step-by-step explanation:
setting up the equation
let x and y represent the two numbers
this means that x + y = 30
x - y = 12
using substitution to solve
if x - y = 12, that can be rearranged to x = y + 12.
substitute x = y + 12 into x + y = 30
you get (y + 12) + y = 30
simplify
2y + 12 = 30
2y = 18
y = 9
plug this into the original equation x + y = 30. this would be
x + 9 = 30
x = 21
the numbers are 21 and 9.
Evaluate the expression: 12-3x3-2
O 12
O9
O 25
0 1
Answer:
12-3×3-2
12-6-2
12-11
1
Help me with these worksheets pls
Anything would help BUT PLS ANSWER IT CORRECTLY, If you don't know, just IGNORE THIS AND DON'T JUST COME FOR THE POINTS.
Answer:
1. yes
2.no
3.yes
4.no
5.yes
A group hiked 3 7/10 miles on the Blue Trail and then 4 3/4 miles on the White Trail. What is the total distance the group hiked?
Answer:
8 9/20
Step-by-step explanation:
Just add them which would give you 169/20 and then simplify it which would be 8 9/20.
Brainliest if correct What kind of coin is coin B And coin C
Answer:
coin B
Better Date 2000 American Silver Eagle 1 Troy Oz .999 Fine Silver BU Unc
Coin C
1923 United Kingdom Great Britain GEORGE V Silver Florin 2 Shillings Coin i63027
you can get those coins from ebay
The length of a rectangle is 2.3 inches more than the width. Find the dimensions of the
rectangle if the perimeter is 28.6 inches. Show work.
Answer:
See image
Step-by-step explanation:
Let w=width
And let l=length
Perimeter is the distance all the way around the outside of the shape. Add up all the sides to find it.
Step-by-step explanation:
let the width of the rectangle=x
the length=x+2.3
Since perimeter=28.6
We know that perimeter of a rectangle is given by
P=2(l+w)
28.6=2(x+2.3+x)
28.6=2(2x+2.3)
28.6=4x+4.6
28.6-4.6=4x
4x=24
x=24/4=6
Therefore width is 6inches and length is 8.3inches
After the elves had hung 25% of the ornaments on the North Pole tree, there
were 480 more ornaments to hang. How many ornaments were in the box to
begin with?
Answer:
640
Step-by-step explanation:
x = total amount of ornaments
480 = 0.75x
(480 is 7 percent of the ornaments after you hang 2 percent of them)
x = 640