What interval notation represents the data graphed below?
A. [1, 4]
B. [1, 4)
C. (1, 4)
D. (1, 4]
Scenario: Multiplying Polynomials
Instructions:
View the video found on page 1 of this Journal activity.
Using the information provided in the video, answer the questions below.
Show your work for all calculations.
The Students' Conjectures
Emily and Zach have two different polynomials to multiply:
Polynomial product A:
(4x2 – 4x)(x2 – 4) Polynomial product B:
(x2 + x – 2)(4x2 – 8x)
They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.
1. Complete the table to summarize each student's conjecture about how to solve the problem. (2 points: 1 point for each row of the chart)
Classmate Conjecture
Emily
Zach
Evaluating the Conjectures
Who do you think is correct? (1 point)
Analyzing the Data
Table Method:
2. Use the table to find the products of the two polynomials. Write your answer in descending order. (4 points: 2 points for each product)
A) (4x2 – 4x)(x2 – 4)
4x2 –4x
x2
–4
B) (x2 + x – 2)(4x2 – 8x)
there's another part on my profile, can u do it to please!!
Answer: there's one more screen shot but the limit is 5... so ill type it out!
7. Are the two products the same when you multiply them vertically? (1 point)
Yes they are
Making a Decision:
8. Who was right, Emily or Zach? Are the products the same with the three different methods of multiplication? (1 point)
They were both correct
9. Which of these three methods is your preferred method for multiplying polynomials? Why? (1 point)
I prefer the first one, Table method. To me it is easier and the fastest out of them all.
Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to install new anti-lock brakes on their cars. These new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collisions with other cars and pedestrians more easily. The new brakes _________ the probability that a vehicle will collide with another vehicle but also give drivers an incentive to drive more _________, which could potentially __________ the number of car accidents.
a. decrease; carefully; increase
b. decrease; recklessly; increase
c. increase; recklessly; increase
d. decrease; carefully; decrease
Answer:
a. decrease
b. recklessly
c. increase
Step-by-step explanation:
Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to install new anti-lock brakes on their cars. These new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collisions with other cars and pedestrians more easily. The new brakes decrease the probability that a vehicle will collide with another vehicle but also give drivers an incentive to drive more recklessly which could potentially increase the number of car accidents.
Because the new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collision easily, drivers may become confident and drive recklessly which could potentially increase the number of car accidents
What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?
y+4=−911(x−8)
y+4=−15(x−8)
y−4=−15(x+8)
y−4=−911(x+8)
Answer:
y-4=–911(x+8)
please mark as brainliest
Answer:y-4=–911(x+8)
Step-by-step explanation:
This is the correct answer i do k12
Which expression is NOT equivalent to
2^3•5•7
A 2•2•2•5•7
B 2^3•35
C 2•3•5•7
D 8•5•7
Answer:
its c or a
Step-by-step explanation:
If a pound of turkey costs $0.82, how much will n pounds cost?
integers between -9 and -2
Answer:
Step-by-step explanation:
the integers are -8,-7,-6,-5,-4,-3,
I will give brainiest to whoever answers correctly !!
Which regression equation best fits these data ?
Answer:
C. [tex]y = -0.30\cdot x^{2}-0.48\cdot x+15.83[/tex]
Step-by-step explanation:
The best fit curve for the given set of points is the quadratic form, which is defined by:
[tex]y = A\cdot x^{2}+B\cdot x + C[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]A[/tex], [tex]B[/tex], [tex]C[/tex] - Coefficient.
The coefficient associated with the second-power component determines whether vertex is an absolute maximum or not. The vertex is an absolute maximum if and only if [tex]A < 0[/tex], otherwise it is an absolute minimum. From image we notice that resulting fit curve will have an absolute maximum, then [tex]A < 0[/tex]. Hence, the correct answer is C.
Answer: C
Step-by-step explanation:
Evaluate x divided by y if x = 3 1/2 and y = 3/4
Answer:
4 2/3
Step-by-step explanation:
hope this helps
Suppose you saved $300 dollars from a summer job. If school starts September 1, can you afford a cell phone data plan of $29.95 per month for the next year(until next September 1)?
Answer:
No
Step-by-step explanation:
Given that:
Amount saved = $300
Monthly data cost = $29.95
Number of monthly data that can be done from saving :
= amount saved / monthly data cost
= $300 / $29.95
= 10.016694
Hence, saving can only last for 10 months of data subscription.
Hence it can't last till September 1, if the following year, which is about 12 months
If s= 6 inches, and the altitude, h, is 21 inches, what is the volume of the pyramid?
Answer: 42 inches
Step-by-step explanation:
To find the volume you multiply 1/3 of the base which is 6 then with 1/3 is 2 them multiply the altitude which is 21. So 2 times 21 is 42 inches
Answer:
The volume of the pyramid is 42 inches³.
Step-by-step explanation:
The formula is V = ⅓ A H. 6x21=126, 126x1/3=42.
Arthur has a box which contains 6 black balls and n (n ≥ 2) white balls, then at random, he takes 3 balls from the box. If the probability of taking any ball is the same and Pₙ is the probability of taking 1 black ball and 2 white balls, what is the largest possible value for Pₙ?
Answer:
11/68 or 0.1618Step-by-step explanation:
Balls
Black - 6White - nOptions of getting 3 balls
1. White, black, black2. Black, white, black3. Black, black, whiteProbability P(n) in each option
1. WBB
P(w) = 6/(n + 6)P(b1) = n/(n + 6 - 1) = n/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 1)P(n) =
P(w)P(b1)(P(b2) = 6/(n+6) × n/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)2. BWB
P(b1) = n/(n + 6)P(w) = 6/(n + 6 - 1) = 6/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 4)P(n) =
P(b1)P(w)(P(b2) = n/(n+6) × 6/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)3. BBW
P(b1) = n/(n + 6)P(b2) = (n - 1)/(n + 6 - 1) = (n - 1)/(n + 5)P(w) = 6/(n + 5 - 1) = 6/(n + 4)P(n) =
P(b1)P(b2)(P(w) = n/(n+6) × (n - 1)/(n + 5) × 6/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)Final equation is same for each case:
P(n) = 6n(n - 1) / (n + 6)(n + 5)(n + 4)The easy way to find the maximum is to try the numbers or graph.
Both of the methods give the maximum integer n = 11 or n = 12
See attached graph
At both values n we get P(n):
P(11) = 6*11*10 / 15*16*17 = 11/68 = 0.1618 (rounded)P(12) = 6*12*11 / 16*17*18 = 11/68 = 0.1618 (rounded)A new car is purchased for 20000 dollars.The value of the cat depreciates at 12.5% per year.What will the value of the car be, to the nearest cent, after 11 years?
Answer:
$460.38
Step-by-step explanation:
Use the exponential decay formula, y = C(1 - r)^t
Plug in the original price, depreciation rate, and amount of time:
y = 20000(0.875)^11
y = 460.38
So, the car's value after 11 years will be $460.38
37 people showed up to the party. There were 9 less men than women present. How many women were there?
Answer:
23
Step-by-step explanation:
tbh, i just guessed around the numbers until i got the right one xD
The number of women present in the party will be 23.
What is expression ?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
Total persons in party = 37
Let,
Number of men = m
Number of women = w
So,
Total number of persons in party ,
m + w = 37 .....(i)
Now,
According to the question,
m = w - 9
Now
Substituting m = w - 9 in equation (i),
i.e.
w - 9 + w = 37
We get,
2w = 37 + 9
2w = 46
We get,
w = 23
So, number of women are 23.
Hence, we can say that the number of women present in the party were 23.
To know more about expression click here
https://brainly.com/question/14083225
#SPJ2
a. y = 3x + 1 and x + y = 5
How do you solve this?
Answer:
Step-by-step explanation:
x + y = 5
y = 3x + 1
x + 3x + 1 = 5
4x + 1 = 5
4x = 4
x = 1
1 + y = 5
y = 4
(1, 4)
Simplify: 14 + 3k = 6k - 7k
4k = 14
14 = -k
k = 14
4k = -14
Hello please help me through 11-13 .
Answer:
Step-by-step explanation:
Points to remember while solving a system of linear equations,
1). If the equations have same slope, solution of the system will have no solution.
2). If both the equations are same, system will have infinitely many solutions.
3). If both the equations have different coefficients of variables, system of equations will have exactly one solution.
Question 11,
ax + 4y = 10 ------ (1)
-9x - 6y = -15
-3x - 2y = -5
-6x - 4y = -10
6x + 4y = 10 -------(2)
For infinitely many solutions,
Coefficients of variables will be same.
a = 6 will be the answer.
Option B is the correct option.
Question 12,
[tex]y=-\frac{3}{2}x+4[/tex] ---------(1)
[tex]y=-\frac{3}{2}x-4[/tex] ----------(2)
Since, slopes of both the equations are same as [tex]-\frac{3}{2}[/tex], lines will be parallel.
System will have NO SOLUTION.
Question 13,
x + 3y = 6 ------- (1)
6x + 18y = 36
x + 3y = 6 -------- (2)
Both the equations are same.
Therefore, system of the equations will have infinitely many solutions.
2x - 3y = -3 ------(1)
4x + 6y = 18
2x + 3y = 9 -------(2)
Coefficients of the variables are different, therefore, one solution.
3x + 2y = 6 -------(1)
6x - 4y = 24
3x - 2y = 12 -------(2)
One solution.
8x - 10y = 6
4x - 5y = 3 -------(1)
-4x + 5y = 3
4x - 5y = -3 ------(2)
One solution.
4x + 10y = 16
2x + 5y = 8 --------(1)
10x + 25y = 40
2x + 5y = 8 --------(2)
Infinitely many solutions.
EASY WORK!!! Please look at the picture and yes it’s easy for other people but not for me .
Answer:
#8 ---> 1/4 2/5 1/2 3/5
#9 ---> 6 3/8 6 1/2 6 3/4 6 5/6
#10 ---> 1.75 feet is the longest
the other lengths are 1.58 ft. and 1.67 ft.
Step-by-step explanation:
good luck!
it's easy if you turn them into decimals.
to do that, you just divide the numerator (top number) by the denominator (bottom number).
e.i. 1/4= .25 (25%)
1/2= .5 (50%)
3/5= .6 (60%)
Answer:
8. 1/4, 2/5, 1/2, 3/5
9. 6 3/8, 6 1/2, 6 3/4, 6 5/6
10. the length of the longest bar is 1.75 feet
Step-by-step explanation:
(just convert all the fractions to decimal, it will be easier for you to do!)
8.
3/5 = 0.6
1/4 = 0.25
1/2 = 0.5
2/5 = 0.4
9.
6 3/4 = 6.75
6 1/2 = 6.5
6 5/6 = 6.83
6 3/8 = 6.375
10.
1 7/12 = 1.583
1 2/3 = 1.6 or 1.7
What is 50 x 79 x 27 + 69
106,719
Answer:
[tex]50 \times 79 \times 27 + 69 \\ \\ = 106,650 + 69 \\ \\ = 106,719[/tex]
Answer:
173790.07374
Step-by-step explanation:
if u apply DMAS rule it will give u same answer if u simply do this it will again give u same answer for sure!
first multiply each then add 60
pls mark this brainliest
n thanks
Ryan has two jobs. He earns $9 per hour for x hours babysitting his cousins and he earns $18 per hour for y hours working at the coffee shop. Ryan will work both jobs. He is able to work no more than 10 hours a week, due to school commitments. Ryan wants to earn at least $72 a week, working a combination of both jobs.
Answer:
Umm I don't think you wrote out the whole question...
Step-by-step explanation:
$18 nine hours, $9 one hour = $177
$18 eight hours, $9 two hours = $162
$18 seven hours, $9 three hours = $153
$18 six hours, $9 four hours = $144
$18 five hours, $9 five hours = $135
$18 four hours, $9 six hours = $126
$18 three hours, $9 seven hours = $117
$18 two hours, $9 eight hours = $108
$18 one hour, $9 nine hours = $99
When plotting points on the coordinate plane
below, which point would lie on the x-axis?
(6,0)
(0, 2)
(3.8)
(5,5)
Answer:
(6,0)
Step-by-step explanation:
How are the hypotenuse and legs of a right triangle related?
Answer:
The sum of the legs is equal to the hypotenuse.
Step-by-step explanation:
I hope that this helps u..
Answer:
The relation between the sides and angles of a right triangle is the basis for trigonometry. The side opposite the right angle is called the hypotenuse (side c in the figure). The sides and the adjacent to the right angle are called legs (or catheti, singular: cathetus).
need help asap please !!
Answer:
17
Step-by-step explanation:
As we know that when diagonals bisect each other it gets divided into two equal parts so
CG = CE
6z - 85 = z
6z - z = 85
5z = 85
z = 85 / 5
Therefore z = 17
Hope it will help :)
Answer:
[tex]\displaystyle 17[/tex]
Step-by-step explanation:
[tex]\displaystyle 6z - 85 = z → 85 = 5z; 17 = z[/tex]
I am joyous to assist you at any time.
Bebe's Bakery can bake 175 loaves of bread in 5 hours as shown on the double number line diagram below. 5 Number of Hours Loaves of Bread 175 At that rate, how many loaves of bread can Bebe's Bakery bake in 8 hours? A. 35 loaves B. 240 loaves C. 280 loaves D. 350 loaves
Answer:
double number line diagram below. 5 Number of Hours Loaves of Bread 175 At Bakery bake in 8 hours? A. 35 loaves B. 240 loaves
Step-by-step explanation:
12x-20=n(3x-5) plzzzz help fast
Answer:
n=4 x=4
Step-by-step explanation:
3-5 = -2
12-20 = -8
find their what they have in common = 4
12·4= 48
3·4= 12
rearrange = 48-20 = n (12-5)
we should end up with 28 = n · 7
now we just need to figure out what ? · 7 = 28 which is 4
n = 4
I'm not sure if I did this correctly but I hope it helps
Each bill at a restaurant includes an 18% tip. Which of the following bill amounts and tips could be from this restaurant? Select Yes or No.
Answer:
1. Yes
2. No
3. No
4. Yes
What is the decimal Expansion of the following fraction?
Answer:
B
Step-by-step explanation:
1/25 = 0.04 only. this is surely the anwer
PLEASE HELP, Will give brainliest if u help and 38 points.
You are deciding between two laptops to purchase. The first laptop has an initial value
of $2000 but loses 14% of its value every year. The second laptop has an initial value
of $1200 but loses 11% of its value every year.
a. Write functions that represent the values (in dollars) of the laptops after t years.
Then graph the functions in the same coordinate plane.
b. Find the approximate monthly percent decrease in value for each laptop.
C. Which laptop should you buy if you plan on selling the laptop in 5 years? Explain
your reasoning
Step-by-step explanation:
a)
The first laptop
Initial value- $2000Value loss - 14% every yearFunction for value- V(t) = 2000*0.86^tThe second laptop
Initial value- $1200Value loss - 11% every yearFunction- V(t) = 1200*0.89^tb)
Monthly percent decrease
The first laptop:
14%/12 = 1.16%The second laptop:
11%/12 = 0.92%c)
The second laptop will lose less value in 5 years hence is better choice
See the graph attached
Natalie has 16 close friends. How many ways can she choose 5 to E
bridesmaids in her wedding?
Answer:
80 ways
Step-by-step explanation:
You just miltiply 16 by 5 and you get your answer. Hope this helps!!!!!