Answer:
Step-by-step explanation:
y=3x^2 has a parabolic graph with its vertex at the origin, (0, 0).
y=3x^2 + 3 has the same graph shape, but its vertex and every other point are 3 units higher (away from the origin) up.
Simplify (12x3 - 8x2) - (3x3 + 9x2 + x - 7).
Answer:
9x^3-17x^2-x+7
Step-by-step explanation:
Distribute the negative you'll get
(12x^3-8x^2)+(-3x^3-9x^2-x+7)
Combine like terms
12x^3-3x^3=9x^3 , -8x^2-9x^2=-17x^2 , -x , +7
Putting it all together:
9x^3-17x^2-x+7
PLISSSS HELP IS FOR A TEST!!!!
The vertices of quadrilateral MNPQ are M(28, 1), N(3, 4), P(7, 21), and Q(24, 24).
a. The coordinates of M' are (16,4) after a translation. State the translation rule.
b. Use GeoGebra to complete a 90° rotation around the origin
Answer:
56=78b
Step-by-step explanation:
The vertices of quadrilateral MNPQ are M(28, 1), N(3, 4), P(7, 21), and Q(24, 24).
a. The coordinates of M' are (16,4) after a translation. State the translation rule.
b. Use GeoGebra to complete a 90° rotation around the origin
A ball is thrown upward and its height after seconds can be described by formula 5.6. Find the maximum height the ball will reach.
The maximum height reached by the ball is 20 units at 1.2 unit time.
What is Maxima and Minima ?The extrema of a function are the maxima and minima. The highest and minimum values of a function inside the specified ranges are known as maxima and minima, respectively. Absolute maxima and absolute minima are terms used to describe the function's maximum and minimum values, respectively, throughout its full range.
The curve of a function has peaks and troughs called maxima and minima. A function may have any number of peaks and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph. Maxima will be the curve's highest point within the specified range, while minima will be its lowest.
Extrema is the result of maxima and minima combined. The graph in the graphic below shows several peaks and falls. We obtain the function's maximum and lowest values at x = a and 0 respectively, and at x = b and c respectively. The valleys are the minima and all the peaks are the maximum.
The equation is given as
h = [tex]-10t\x^{2} + 24t + 5.6[/tex]
Differentiating both side with respect to t we get
[tex]\frac{dh}{dt} = -20t + 24[/tex]
To reach maximum value [tex]\frac{dh}{dt} = 0[/tex]
⇒20t = 24
⇒ t = 1.2
So the maximum height reached = [tex]-10 *(1.2)\x^{2} + 24*1.2 + 5.6 = 20[/tex]
To learn more about Maxima and minima refer to :
https://brainly.com/question/14384831
#SPJ4
Show Your Work Find the area of the sector
Answer:
look at the picture I sent
△ABC, BD &CE are the altitude of the ide AC & AB and BD=CE. Prove that △BCD≅△CBE
We have proved that △BCD≅△CBE.
What are congruent triangles?
Congruent triangles are triangles that have the same size and shape. They have the same angles and corresponding side lengths.
By the RHS congruence condition if the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of another right triangle then both right triangles are congruent.
It is given that BD=CE and BC is the hypotenuse of small triangles CEB and BDC
So, In right triangles BCD and CBE
BC=CB=common side⋯⋯[hypotenuse]
And BD=CE=given⋯⋯[sides of right triangles]
So, by RHS condition
△BCD≅△CBE.
Hence, we have proved that △BCD≅△CBE.
To learn more about congruent triangles, visit:
https://brainly.com/question/2938476
#SPJ4
We have proved that △BCD≅△CBE.
What are congruent triangles?
Congruent triangles are triangles that have the same size and shape. They have the same angles and corresponding side lengths.
By the RHS congruence condition if the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of another right triangle then both right triangles are congruent.
It is given that BD=CE and BC is the hypotenuse of small triangles CEB and BDC
So, In right triangles BCD and CBE
BC=CB=common side⋯⋯[hypotenuse]
And BD=CE=given⋯⋯[sides of right triangles]
So, by RHS condition
△BCD≅△CBE.
Hence, we have proved that △BCD≅△CBE.
To learn more about congruent triangles, visit:
brainly.com/question/2938476
#SPJ4
Please help!! 10 minutes left!!
What is the constant term of 2x 3?
The constant term in the expression 2x + 3 is 3.
The term expression in math is called as the algebraic expression consists of unknown variables, numbers and arithmetic operators.
Here we have the expression 2x + 3.
Now, we have to find the constant term in the expression.
As per the definition of expression, we know that the expression has two part one is variable part and the remaining second part is the constant parts.
As the name suggest, the variable part contains the unknown value like x, y etc. that changes value of the expression depending upon the given value.
Another term is constant, where its value can't be changed.
While we looking into the given expression here we have identified that
=> 2x is the variable term because the value of the term is changed based on the value of x.
Therefore, the constant term is 3.
To know more about Expression here.
https://brainly.com/question/14083225
#SPJ4
H)
how many five- card hands are possible that contain at least three kings?
==========================================================
Explanation:
We'll break things up into cases. The phrasing "at least 3" means "3 or more".
We either will have 3 kings or 4 kings.
----------------------------------------------
Case A) There are exactly 3 kings.
Use the nCr combination formula. There are n = 4 kings total and we select r = 3 of them. That gives 4C3 = 4 ways to pick the 3 kings.
Put another way: there are 4 ways to leave a certain king out of the hand.
Then we have 52-4 = 48 cards that aren't a king, and we need to fill the remaining r = 2 slots. Through the nCr formula, you should find that 48C2 = 1128
To recap, we found
4 ways to pick the three kings1128 ways to pick the other two cards that aren't kingsThat gives 4*1128 = 4512 ways to have case A happen.
----------------------------------------------
Case B) There are exactly 4 kings
4C4 = 1, so there's only one way to select all the kings. The order doesn't matter. Then we have 48 cards to pick from for the fifth slot.
Overall there are 1*48 = 48 ways to have case B play out.
----------------------------------------------
There were 4512 ways to have case A happen, and 48 ways to have case B happen.
These cases are mutually exclusive to allow us to simply add the counts:
4512+48 = 4560
This is why the final answer is 4560
A. Prepare the journal entry to close the balance in the Factory overhead account to cost of goods sold.
The question is incomplete. The complete question is :
A company's Factory Overhead T-account shows total debits of $630, 000 and total credits of $716,000 at the end of the year. Determine whether there is over- or underapplied overhead using the T-account below. Prepare the journal entry to close the balance in the Factory Overhead account to Cost of Goods Sold.
Solution :
The credit of the factory overhead means Applied overhead and the debit of the factory overhead is the actual overhead incurred.
Here, applied overhead is more than the actual overhead incurred so it is the factory overheads the over appalled.
The Factory overheads
Amount($) Amount($)
Actual overhead 630,000 Applied overhead 716,000
Over applied 86,000
Journal entry to close balance in factory overhead
Account title and explanation Debit($) Credit($)
Factor overheads 86,000
Cost of goods sold 86,000
What is the parent graph of the function, g(x) = 3VX-2
Answer:
2
Step-by-step explanation:
The parent graph is the one used to create a new function by any of the transformations (reflection about an axis, horizontal/vertical shifts, stretches/compressions).
Start with the square root function
[tex]f(x)=\sqrt{x}[/tex]
Multiply by 3 (vertical stretch)
[tex]h(x)=3\sqrt{x}[/tex]
Replace x with x - 2 (shift to right 2 units)
[tex]g(x)=3\sqrt{x-2}[/tex]
Nilda has 40 points on a game show. She answers the next question incorrectly and loses 50 points. Sketch a number line to find the new score.
Manish and Ravi are reading the same series of books. As of today, Manish has read a total of 544 pages. If he reads at the same pace, after 8 days he will read a total of 928 pages.
The total number of pages that Ravi has read is modeled by the equation y=51x+594, where x is the number of days after today, and y is the total number of pages read.
Who will finish the series first? Why?
Select the response that correctly answers both questions.
Responses
Ravi will finish first, because he has already read more than Manish as of today, and he reads more than Manish each day.
Ravi will finish first, because he has already read more than Manish as of today, and he reads more than Manish each day.
Ravi will finish first, because even though Manish has read more as of today, Ravi reads faster overall.
Ravi will finish first, because even though Manish has read more as of today, Ravi reads faster overall.
Manish, because even though Ravi has read more as of today, Manish reads faster overall.
Manish, because even though Ravi has read more as of today, Manish reads faster overall.
Manish will finish first because he has already read more than Ravi as of today, and he reads more than Ravi each day.
The person that will finish the series first is;
Ravi will finish first, because even though Manish has read more as of today, Ravi reads faster overall.
How to interpret Linear Equation Problems?The general equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Total pages manish has read as at today = 544 pages
He reads at the same pace and after 8 days he has read 928 pages. Thus, the equation that represents the number of pages that Manish has read is; 928 = 8m + 544
922 - 544 = 8m
m = 378/8
m = 47.25
Thus, his rate is 47.25 pages per day
The equation for Ravi is y = 51x + 594
This shows a rate of 51 pages per day
Thus, Ravi will finish first
Read more about Linear Equation Problems at; https://brainly.com/question/13738662
#SPJ1
-6+(-2) pls help me.
Answer:
-8
Step-by-step explanation:
-6+(-2)
-6 - 2
= -8
-8
6+2=8
Then make it negative
Therefore the answer is -8
Mark me brainliest
Hi! I need some help with this (:
Answer:
the answer is 5 lists
hope this helps
Sandra has taken 3 Test this Quarter. She has scored an 78%, 76%, and a 93%. Sandra wants
to earn at least and 85% for the Quarter. What score will she need to earn on her Final Test in
order for her to Average at least an 85% for the Quarter? Then Explain what your answer
means.
*****This Question is similar to Question #8 in Thursdays Homework Quiz.
1. Write an Equation or Inequality you use to help you solve this Question. 5 pts.
2. Solve the Equation or inequality. 5 pts.
3. Explain what your answer means based on your solution you get. 10 pts.
Sandra needs to score at least 87.67% to get an average score of 85%.
What is average?Let's look at the average formula in more detail in this part and use some examples to illustrate how it may be used. The following is an example of the average formula for a specific set of data or observations: Average = (Sum of Observations) ÷ (Total Numbers of Observations).
Given, Sandra has taken 3 Test this Quarter. She has scored an 78%, 76%, and a 93%.
Now as per the question she needs 85%.
The average of the 1st three tests is 78+76+93/3 = 247/3 = 82.33
Now to get 85%, we have to average out as 82.33+x/2 = 85
x+82.33 = 85*2 = 170
x = 170-82.33 = 87.67
Hence, Sandra needs to score at least 87.67% to get an average score of 85%.
Learn more about the average visit:
brainly.com/question/20118982
#SPJ4
Why is a 5th interval called perfect?
The 5th interval is called perfect
Interval notation is a method to represent an interval on a number line.
The 5th interval is called perfect
Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers. For example, the set of numbers x satisfying 0 ≤ x ≤ 5 is an interval that contains 0, 5, and all numbers between 0 and 5.
Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5.
To learn more about interval:
https://brainly.com/question/29197921
#SPJ4
multi-step equations
Hugo began his science experiment with 22 grams of sugar crystals. During the experiment, the change in the mass of the sugar crystals was
6 grams.
What is the final mass of the sugar crystals?
Answer:
I don't think there's enough information here to answer your question
im 12 and struggling help me please i need my grades up
Answer:
you would multiply 17% by 228,000
Step-by-step explanation:
you would get 177840
Suppose the average score on a national test is 600,with a standard deviation of 50. If each score is increased by 10, what are the new mean and standard deviation
On solving the provided question we can say that the new Mean = 610 mean .
What is mean?
A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). is 50.
What is mean?
A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean).
The mean score is calculated by dividing the total number of tests taken by all of the scores. The mean will therefore rise if you give each test a higher mark. The standard deviation is calculated as the square root of the product of the power of two of all test results, multiplied by the number of tests, and then subtracted from the mean.
Each score you raise by 10 will result in a 10 change in the mean. But as there will be no change in the distance between each score and the mean, the standard deviations will also not change.
Mean = 600
Average deviation is 50.
Scores went up by 10
Mean = 610
Average deviation is 50.
To know more about mean visit:
https://brainly.com/question/30094057
#SPJ4
Find the area. The figure is not drawn to scale. Please show work
Answer:
I believe it is 27.6
Step-by-step explanation:
I'm not really sure, I just multiplied. Hope this helps.
Find the values of x and y.
Answer:
X=65
Y=40
Step-by-step explanation:
2x+10=140
-10 -10
2x=130
÷2 ÷2
x=65
Y=180-140
Y=40
what is 7/8 x 40 equal.
ASAP PLEASE WILL GIVE BRAINLIEST
The two (2) possible locations of point F include the following: F. [7, 9.5].
How to determine the coordinates of F?In this scenario, line ratio would be used to determine the coordinates of the point on the directed line segment that partitions the segment into a ratio of 5 to 3.
Mathematically, line ratio can be used to determine the coordinates of F and this is modeled by this mathematical expression:
F(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
Given the following parameters:
Point (x, y)= (4, 11)
Point (x, y) = (8, 9)
m:n = 3:1
Substituting the given parameters into the line ratio formula, we have;
F(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
F(x, y) = [(3(8) + 1(4))/(3 + 1)], [(3(9) + 1(11))/(3 + 1)]
F(x, y) = [(24 + 4)/(3 + 1)], [(27 + 11)/(3 + 1)]
F(x, y) = [(28)/(4)], [(38)/(4)]
F(x, y) = [7, 9.5]
Read more on line ratio here: brainly.com/question/14457392
#SPJ1
A pet store has 15 puppies, 6 kittens, and 8 hamsters. Alice, Bob, and Charlie each want to buy a pet. For variety, they each want a different kind of pet. How many ways can Alice, Bob, and Charlie buy pets and leave the store satisfied
There are 24 ways for Alice, Bob, and Charlie to buy pets and leave the store satisfied. They could each buy a puppy, a kitten, and a hamster, or they could each buy a different combination of the three types of pets.
How many different pet options can Alice, Bob, and Charlie choose from before feeling satisfied?Alice, Bob, and Charlie can leave the pet store satisfied in 12 different ways.This can be shown using a combination equation, where n = the number of items (in this case, pets) and r = the number of selections (in this case, 3): C(n,r) = n! / (r! × (n - r)!). In this equation, n = 29 (15 puppies + 6 kittens + 8 hamsters) and r = 3 because Alice, Bob, and Charlie each have to select one pet.When plugging these numbers into the equation, the result is C(29,3) = 29! / (3! × (29 - 3)!) = 29! / (3! × 26!) = 8649 / 514880 = 12 different ways. Alice, Bob, and Charlie can each select a puppy, a kitten, and a hamster and leave the store satisfied in 12 different ways.Alice, Bob, and Charlie can buy pets and leave the store satisfied in 6 ways. Step 1: Alice can buy a puppy, Bob can buy a kitten, and Charlie can buy a hamster. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 2: Alice can buy a kitten, Bob can buy a hamster, and Charlie can buy a puppy. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 3: Alice can buy a hamster, Bob can buy a puppy, and Charlie can buy a kitten. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 4: Alice can buy a puppy, Bob can buy a hamster, and Charlie can buy a kitten. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 5: Alice can buy a kitten, Bob can buy a puppy, and Charlie can buy a hamster. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 6: Alice can buy a hamster, Bob can buy a kitten, and Charlie can buy a puppy. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. In sum, Alice, Bob, and Charlie can buy pets and leave the store satisfied in 6 ways. Each person can buy a different kind of pet and the store will still have the same number of pets afterwards.To learn more about the combination theory refer to:
https://brainly.com/question/27824009
#SPJ4
Find three consecutive positive integers such that the sum of their squares is 2354. What is the largest integer?
Answer:
The largest integer is 29.
Step-by-step explanation:
Let the consecutive positive integers are x, x+1 and x+2.
The square of sum of squares of three consecutive positive integers is 2354 such that,
[tex]x^2+(x+1)^2+(x+2)^2=2354\\\\x^2+x^2+2x+1+x^2+4+4x=2354\\\\3x^2+6x+5=2354\\\\3x^2+6x- 2349=0[/tex]
It is a quadratic equation whose solution is given by :
x = 27 and x = -29
First positive integer = 27
Second positive integer = 27+1 = 28
Third positive integer = 27+2 = 29
Hence, the largest integer is 29.
factor the trinomial 2xsquared + 5x -42
Basic quadratic expression:
[tex]ax^2+bx+c[/tex]
[tex]2x^2+5x-42[/tex]
Factoring a quadratic expression when a ≠ 0
1. Multiply a and c values (ac=k)
[tex]2(-42) = -84[/tex]
2. Find a factor pair whose sum adds to b and has the product of k
[tex]-7,12[/tex]
[tex]-7(12)=-84[/tex] [tex]-7+12=+5[/tex]
3. Replace the middle term (bx) with newfound values
[tex]2x^2 +12x-7x-42[/tex]
4. Factor by grouping
[tex]2x(x+6) -7(x+6)[/tex]
if done correctly the expression in the parentheses will be the same5. Perform the last factorization
[tex](2x-7)(x+6)[/tex]
you can verify your answer by expanding the factors to get the same expression in the beginningHelp.
Cannot figure out fractions
Answer:
62 [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
Find the measure of the missing angles.
Answer:
b = 70 degrees
c= 110 degrees
Step-by-step explanation:
What are 2 types of domain names?
TLDs are the most common type of domain name and are typically three or more characters after the final dot in a domain name. ccTLDs are two-letter domains that represent a specific country or region.
Domain names are used to identify websites on the internet. There are two main types of domain names: top-level domains (TLDs) and country code top-level domains (ccTLDs).
TLDs are the most common type of domain name and are typically three or more characters after the final dot in a domain name. Examples of TLDs include .com, .org, .net, .edu, and .gov.ccTLDs are two-letter domains that represent a specific country or region. Examples of ccTLDs include .us for the United States, .au for Australia, .ca for Canada, .uk for the United Kingdom, and .fr for France.
When registering a domain name, users should choose a TLD or ccTLD that best suits their needs. For example, if they are targeting a global audience, they should consider a .com TLD. If they wish to target a specific country, they should consider a ccTLD.
Learn more about domain here
https://brainly.com/question/13113489
#SPJ4