Answers
x= -(-2)/2(-1) which is x = 2/-2 which is x = -1. That -1 is the x coordinate of the vertex. You could plug that back into the equation and solve it for y, which is the easier way, or you could complete the square on the quadratic...let's plug in x to find y. -(-1)^2 - 2(-1)-1 = 0. So the vertex is (-1, 0). That's the first choice given. For the last one, since it is a negative quadratic it will be a mountain instead of a cup, meaning it doesn't open upwards, it opens downwards. Those quadratics will ALWAYS have a max value as opposed to a min value which occurs with an upwards opening parabola. This one is also the first choice because of the way the equation is written. There is no side to side movement (the lack of parenthesis tells us that) so the x coordinate for the vertex is 0. The -1 tells us that it has moved down from the origin 1 unit; hence the y coordinate is -1. The vertex is a max at (0, -1)
Related Questions
I was wondering if anybody had the questions to the module 8 DBA for FLVS. I usually dont do well unless I see the question, I dont need the answers just the question.
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Factor the following.
Answers
Hope this helps :)
Please give brainliest
I'm just going to simplify all of our answer choices, and see which one is correct.
a) 2(3h+ 5)(h + 12)
Simplify.
(6h + 10)(h + 12)
Simplify.
(6h · h) + (6h · 12) + (10 · h) + (10 · 12)
Simplify.
6h² + 72h + 10h + 120
Add like terms.
6h² + 82h + 120
So, A IS CORRECT.
However, let's just go through the rest just to make sure.
b) (6h + 12)(h - 10)
Simplify. Because we have already showed you the steps on how to multiply this way, I will just simplify it the faster way, without showing all of the work :)
6h² - 60h + 12h - 120
Add like terms.
6h² - 48h - 120
Therefore, B is incorrect.
c) (6h - 12)(h - 10)
Simplify.
6h² - 60h - 12h + 120
Add like terms.
6h² - 72h + 120
Therefore, C is incorrect as well.
d) (6h - 60)²
Simplify.
(6h - 60)(6h - 60)
Simplify.
36h² - 360 - 360h + 3600
Add like terms.
-324h + 3240
Therefore, D is also incorrect.
Because A is the only one that is equal to 6h² + 82h + 120, it is correct.
~Hope I helped!~
If a system of linear equations has no solution, what do you know about the slopes and y-intercepts of the graphs of the equations?
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Answer:
The slopes of the graphs are the same and the y-intercepts of the graphs are different.
Step-by-step explanation:
What is the formula for an eastbound car is going 4 miles per hour faster than a westbound car. the cars are 208 miles apart 2 hours after passing each other on a highway. what is the speed, in miles per hour, of the eastbound car?
Answers
The speed of the eastbound car is 56 miles per hour.
Explanation:Let x be the speed of the westbound car. Since the eastbound car is going 4 miles per hour faster, the speed of the eastbound car is x + 4 .
The combined speed of both cars is x + (x + 4) = 2x + 4 miles per hour. In 2 hours, the cars cover a distance of 2(2x + 4) = 4x + 8 miles. This distance is equal to the sum of the distances covered by each car when moving towards each other.
Given that the cars are 208 miles apart, we can set up the equation:
4x + 8 = 208
Subtracting 8 from both sides:
4x = 200
Dividing both sides by 4:
x = 50
So, the speed of the westbound car is 50 miles per hour, and the speed of the eastbound car is 50 + 4 = 54 miles per hour. Therefore, the eastbound car is moving at 54 miles per hour.
In the end, the eastbound car's speed is 54 miles per hour, which is 4 miles per hour faster than the westbound car's speed of 50 miles per hour.
Full Question:An eastbound car is going 4 miles per hour faster than a westbound car. the cars are 208 miles apart 2 hours after passing each other on a highway. what is the speed, in miles per hour, of the eastbound car?
I won tickets to a trip for four to the Super Bowl. I have eight friends but I can only bring three of them. In how many ways can I form my Super Bowl party?
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[tex] \frac{8!}{(8-5)!5!} = \frac{8!}{3!5!} = 56 [/tex] ways of choosing three friends from eight total friends
Rip the 4 tickets in half lol
select the TWO binomials that are factors of this
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since the last number -s -20 you need the 2 that when multiplied together would equal -20
so x-5 and x +4 are the correct answers
A cubic centimeter of quartz, olivine, and gold weighs 2.5, 3.0, and 19.8 grams, respectively. this indicates that
Answers
To solve the problem we must know about density.
The different weight shows that the solids have different density.
Given to us
A cubic centimeter of quartz, olivine, and gold weighs 2.5, 3.0, and 19.8 grams.What are weight and mass?We know that weight is the product of mass and acceleration due to gravity, also, mass is the product of density and volume.
[tex]\rm{ weight = mass \times acceleration\ due\ to\ gravity[/tex]
[tex]\rm{ w = m \times g[/tex]
[tex]\rm{ Mass = density \times volume[/tex]
[tex]m = \rho \times v[/tex]
What is the relationship between weight and mass?In the three solids given, the acceleration due to gravity will be the same, also, it is already mentioned that the volume of the three materials is the same that is 1 cubic centimeter.
[tex]w = m \times g\\w = (\rho \times v) \times g\\\\w = \rho \times 1\ cm^3 \times 9.81[/tex]
Therefore, the only thing that can vary is the density of the solids. Hence, the different weight shows that the solids have different density, the more is the weight the more is the density of the solid.
Learn more about Density:
https://brainly.com/question/952755
Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts? F(x)=-2x-1
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The correct statement is:
The function f(x) has a higher y-intercept.Step-by-step explanation:We know that the general form of a slope intercept form of a line is given by:
[tex]y=mx+c[/tex]
where m is the slope of the line and c is the y-intercept of a line.
The function f(x) is given by:
[tex]f(x)=-2x-1[/tex]
Hence, on comparing the function to the slope-intercept form of a line we get
The y-intercept of function f(x) is: -1
Also, the table for the function g(x) is given by:
x g(x)
2 2
4 6
6 10
The function g(x) satisfies the equation:
[tex]g(x)=2x-2[/tex]
The y-intercept of the function g(x) is: -2
Since we know that:
-1 > -2
This means that the y-intercept of the function f(x) is higher than the y-intercept of the function g(x).
Design an equation for the volume of a box made from a cardboard sheet of length q and width p and square cutouts of side length x.
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From the cardboard sheet of length q and width p, we remove from the corners squares of side length x, then fold the cardboard to form a box.
the height of the box is x, the length is q-2x, since 2 x'es are subtracted from the length of the cardboard, similarly the width of the box is p-2x.
The volume of the box is height*length*width:
so the equation is
V=x(q-2x)(p-2x)
Suppose there is a strong positive correlation between v and w which of the following must be true
?
A.)when V increases, w tends to increase
B.)An increase in a V causes W to decrease
C.)An increase in V causes W to increase
D.)When V increases, W tends to decrease
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The truth is when V increases, W tends to increase. Positive correlation between two variables in which both variables move in tandem. Positive correlation exists when one variable decreases as the other also decreases or one variable increases while others increase too.
Answer: A.) when V increases, w tends to increase
Step-by-step explanation:
Positive correlation is a relationship between two variables in which both variables move with the same ratio. A positive correlation exists when one variable increases as the other variable increases, or vice-versa.
A perfect positive correlation means that both variables move by the exact same percentage.
Therefore, if there is a strong positive correlation between v and w then when V increases, w tends to increase .
(06.05 MC)
Dylan surveyed the students at his sports camp to find out if they like diving and/or boxing. The table below shows the results of the survey:
Like Diving
Do Not Like Diving
Total
Like Boxing
28
12
40
Do Not Like Boxing
20
5
25
Total
48
17
65
If a student likes diving, what is the probability that student also likes boxing?
43.1%
58.3%
70.0%
73.8%
Answers
without seeing the chart, I hope I have the columns and labels correct,
but it looks like 28 students like both diving and boxing.
there is a total of 65 students
28/65 = 0.4307, which rounds to 0.431
which is 43.1%
Given a standard deck of playing cards, what is the probability of randomly selecting a card that is either red or a face card or both
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The types of cards and their colors are:
clubs (black), diamonds(red), hearts(red) and spades(black).
each of these contain 3 face cards: a jack, a queen and a king.
so there are in total 6 black face cards, and 6 red face cards.
P(red or a face card or both)=n(red or a face card or both)/52
n(red or a face card or both)=n{26 red + 6 black faces)=32
so the probability is 32/52=0.615
Answer: 0.615
Final answer:
This detailed answer explains the probability of selecting a heart or a face card from a standard deck of cards and the calculation involved.
Explanation:
Calculate the probability of selecting a heart or a face card from a standard deck of cards:
There are 52 cards in a deck, with 13 hearts and 12 face cards (3 each of Jacks, Queens, Kings).The probability of selecting a heart card is 13/52 = 1/4.The probability of selecting a face card is 12/52 = 3/13.By the principle of inclusion-exclusion, you add the probabilities of selecting a heart and a face card and subtract the probability of both (heart face cards, which are only the face cards that are hearts - 3 cards):
(1/4) + (3/13) - (3/52) = 39/52 = 3/4
The arithmetic mean (i.e., average) of a set of 7 numbers is 20. the mean of a second set of 13 numbers is 40. what is the mean of all 20 numbers?
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Therefore the sum of the 7 numbers is
S₁ = 7*20 = 140
The mean of the second set of 13 numbers is 40.
Therefore the sum of the 13 numbers is
S₂ = 13*40 = 520
The sum of the two sets of numbers is
S = S₁ + S₂ = 140 + 520 = 660
Altogether, there are 7+13 = 20 numbers.
The overall mean of the 20 numbers is
660/20 = 33
Answer: The mean of all 20 numbers is 33.
Using the weighed mean, it is found that the mean of all 20 numbers is of 33.
What is the weighed mean?The weighed mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.
In this problem, the means are divided as follows.
Mean of 20 with a weight of 7.Mean of 40 with a weight of 13.Hence:
[tex]M = \frac{20(7) + 40(13)}{20} = 33[/tex]
The mean of all 20 numbers is of 33.
More can be learned about the weighed mean at https://brainly.com/question/24398353
HELP ROUND 479065.389037 TO THE NEAREST THOUSAND
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if you want to round both sides to the nearest thousand, it will be
479000.389
if you just want a whole number it will be
479000
hope this helps :D
Solve by using elimination 3x+y=27 -3x+4y=-42
Answers
3x+y=27 ...(1)
-3x+4y=-42 ...(2)
(1) +(2) : 5y = -15
y = -3
subsct in : (1) 3x -3 = 27
3x= 30
x=10
The two-way table shows the number of students in a class who help in an animal shelter and/or library.
Help in Animal Shelter
Do Not Help in Animal Shelter
Total
Help in Library
12
?
15
Do Not Help in Library
11
10
21
Total
23
13
36
What is the missing number in the table?
3
5
25
27
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Answer: The number 3 is missing from the table!
Step-by-step explanation:
quotient of two more than a number and eight
Answers
How many right triangles have a hypotenuse that measures 2x+5 meters and legs that measure 22xminus−33 meters and x+8 meters? what are the dimensions of the triangle(s)?
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Δhello :
by theorem pytagore :
(2x+5)² = (22x-33)² + (x+8)²
4x² +20x +25 = 484x²+1452x + 1089 +x²+16x+64
put this expression in the form ax² +bx+c=0
calculate Δ = b²-4ac ....cpntibue
Evaluate m – n when m = –2.6 and n = 7.9.
a. –10.5
b. –5.3
c. 5.3
d. 10.5
Answers
Final answer:
The value of m – n when m = –2.6 and n = 7.9 is –10.5, which is an option (a).
Explanation:
To evaluate m – n when m = –2.6 and n = 7.9, we simply substitute the given values into the expression and perform the subtraction:
m – n = –2.6 – 7.9
Since subtracting a positive number is the same as adding its negative, this is equivalent to:
m – n = –2.6 + (–7.9)
Adding these two negative numbers together gives us:
m – n = –10.5
Therefore, the correct answer is a. –10.5.
An expression is shown below: 3pf^2 - 21p^2f + 6pf - 42p^2. Rewrite the expression completely factored. Show the steps of your work.
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= 3p(f^2 - 7pf + 2f - 14p)
we can factor the terms in the parentheses by grouping:-
= 3p [f(f - 7p) + 2(f - 7p)]
= 3p(f - 7p)( f + 2) answer
The final expression will be equal to 3p(f - 7p)( f + 2).
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression will be solved as below:-
First find the GCF - this is 3p which we take out:-
E= 3p(f² - 7pf + 2f - 14p)
Factor the terms in the parentheses by grouping:-
E= 3p [f(f - 7p) + 2(f - 7p)]
E= 3p(f - 7p)( f + 2)
Therefore, the final expression will be equal to 3p(f - 7p)( f + 2).
To know more about expression follow
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Is the centroid of a triangle equidistant from the three vertices?
Answers
Yes, the centroid of a triangle is equidistant from the three vertices.
Explanation:Yes, the centroid of a triangle is indeed equidistant from the three vertices.
The centroid of a triangle is the point where the three medians of the triangle intersect. A median is a line segment that connects a vertex of the triangle to the midpoint of the opposite side.
Since the medians of a triangle intersect at the centroid, the distances from the centroid to each vertex along the medians are equal. This property can be proven using properties of similar triangles.
Please help!
Factor the expression.
9b^2+48b+64
Answers
then divide 48 by 3 .48/3=16
a and b are two numbers with sum of 16 and production of 64.
a=b=8
(3x+8)^2
Answer:
(3x+8)^2
Step-by-step explanation:
(3x+8)^2
Question 2: Remember that there are 5 lead male roles and 4 lead female ones. If you must seat the male leads together and the female leads together, the three producers together and the director by himself, how many different ways can you seat 13 people around the circular table?
Answers
----------------------------------------------
Explanation:
There are 13 people total. We can group up the male leads since they must sit together. Consider this group of five as one "person". Do the same for the female leads since they must sit together as well. The same applies to the producers.
Effectively we have these groups
* Male leads
* Female leads
* Producers
* Director
So we have 4 "people" in a sense sitting around the table giving (n-1)! = (4-1)! = 3! = 3*2*1 = 6 different ways to arrange these four groups.
Within the "male leads" group, there are 5! = 120 ways to permute the members.
Within the "female leads" group, there are 4! = 24 ways to permute the members.
Within the "producers" group, there are 3! = 6 ways to permute the members.
Within the "director" group, there's only one person so 1! = 1 way to arrange the members
So there are 120*24*6*1 = 17,280 different ways to arrange any one of the six permutations of the four groups.
Overall, there are 6*17,280 = 103,680 total permutations.
A ball bearing is shaped like a sphere and has a diameter of 2.5 centimetres. What is the volume contained inside the ball bearing? Use 3.14 for pi. Round your answer to the nearest hundredth. 8.18 cubic centimeters 7.15 cubic centimeters 7.08 cubic centimeters 6.89 cubic centimeters
Answers
The diameter is already given (2.5), and it can be divided by 2 to find the radius.
2.5/2=1.25
Plug 1.25 and Pi into the equation for a sphere to find the volume:
(4/3)(1.25^3)(3.14)=8.177
Answer: About 8.18 cm^3
Answer: 8.18 cubic centimeters
Step-by-step explanation:
Given : A ball bearing is shaped like a sphere .
The diameter of ball = 2.5 centimeters
Then , the radius of the ball =[tex]\dfrac{2.5}{2}=1.25\text{ cm}[/tex]
We know that the volume of a sphere is given by :-
[tex]\text{Volume}=\dfrac{4}{3}\pi r^3[/tex]
Then , the volume of ball is given by :-
[tex]\text{Volume}=\dfrac{4}{3}(3.14) (1.25)^3\\\\\Rightarrow\ \text{Volume}=8.17708333333\approx8.18\text{ cubic centimeters}[/tex]
If you were asked to load 225 boxes onto a truck, and the boxes are crated with each crate containing nine boxes, how many crates would you need to load
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Answer:
You should load 25 crates onto a truck.
Step-by-step explanation:
Given:
There are 225 boxes.
Each crate containing 9 boxes.
We need to find the number of crates that containing 225 boxes.
Here we use division to find the answer.
Number of crates = Total number of boxes / Number of boxes in each crate
= 225/9
= 25
You should load 25 crates onto a truck.
Can someone help me!
Answers
14 + 3i + 12 + 7i + 6 + 2i
Combine like terms.
12i + 32
32 + 12i
one pinball games 25 cents to play.how much will it cost to play 10 pinball games?
Answers
It would cost $2.50 to play 10 games of pinball.
It would cost 2.50 dollars to play 10 pinball games
Question 3: In les Miserables Monsier, Thenardier, and Madame Thenardier are married and during act two, Cosette and Marius become married. If Thenardiers must sit next to one another and Cosette and Marius must sit next to one another, but there are no restrictions on how others can sit, how many different ways can you sit 13 people around a circular table?
Answers
Note: this is a single number (not an ordered triple or a collection of three different numbers) roughly equal to about 14.5 million if you round to the nearest hundred thousand.
----------------------------------------------
Explanation:
There are 13 people. Let's call them person A, person B, person C, ... all the way up to person M. The first four people are given who we'll call A through D. The rest (E through M) aren't really important since they aren't named.
A = Monsier Thenardier
B = Madame Thenardier
C = Cosette
D = Marius
Peron's E through M = remaining 9 people
------------------
A and B must stick together. Because of this, we can consider "AB" as one "person".
So we go from 13 people to 13-2+1 = 12 "people".
Likewise, C and D must stick together. We can consider "CD" as one "person". So we go from 12 "people" to 12-2+1 = 11 "people"
------------------
The question is now: how many ways can we arrange these 11 "people" around a circular table? The answer is (n-1)! ways where n = 11 in this case
So, (n-1)! = (11-1)! = 10! = 10*9*8*7*6*5*4*3*2*1 = 3,628,800
We're almost at the answer. We need to do two adjustments.
First off, for any single permutation, there are two ways to arrange "AB". The first is "AB" itself and the second is the reverse of that "BA". So we will multiply 3,628,800 by 2 to get 2*3,628,800 = 7,257,600
Using similar logic for "CD", we double 7,257,600 to get 2*7,257,600 = 14,515,200
The final answer is 14,515,200
In Les Miserables, given specific seating arrangements around a circular table with 13 people, there are 16,320 ways to seat them as per the specified conditions.
Step-by-step explanation:
Calculate the number of ways to seat Cosette and Marius together: 2 ways as they are a pair.Calculate the number of ways to seat Thenardiers together: 2 ways as they are a pair.Calculate the number of ways to arrange the remaining 9 people using the circular permutation formula: (9-1)! = 8!.Multiply the three results together: 2 * 2 * 8! = 16,320 ways.The vertex of the functions graph is given. Find c. y=2x^2-6x+c;(3/2, 0.5)
Answers
[tex]2(x- \frac{3}{2})^{2} = \frac{18}{4}-c [/tex]
Since the y coordinate of the vertex is 1/2 and we need to solve for c, set the [tex] \frac{18}{4}-c [/tex] equal to 1/2 and solve for c, which is the whole point of what we are doing, right?
[tex] \frac{18}{4}-c= \frac{1}{2} [/tex] and [tex] \frac{18}{4}- \frac{2}{4}=c [/tex]
[tex] \frac{16}{4}=c [/tex] and c = 4. So that's our answer!
How to write 0.000028 in scientific notation?
Answers
2.8 x 10^-5
If you moved the decimal to the left the exponent would be positive.