Answer:
The value of n for this data is 6
Step-by-step explanation:
The given data is:
3, 12, 15, 25, 30, 40
In a set of given data, n is used to represent the number of values in a dataset. The values are also called observations. Hence, the total number of observations in a dataset are denoted by n.
In the given dataset, total values are 6.
So,
n = 6
Hence,
The value of n for this data is 6
What is the value of x in the equation 2.5(5x-5)=10+4(1.5+0.5x)
Answer:
x= 19/7
Step-by-step explanation:
PlS HELP QUICKLY :One of the roots of the equation x2−bx+c=0 is equal to 5. Find c in terms of b.:
Guys pls help and find what C is equal to.
Answer:First suppose that the roots of the equation
x2−bx+c=0(1)
are real and positive. From the quadratic formula, we see that the roots of (1) are of the form
b±b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2.
For the root or roots to be real, we require that b2−4c≥0, that is, b2≥4c. In order for them to be positive, we require that
b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√>0.
This immediately tells us that b>0, but we can go further. We can rearrange this to get
b>b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√,
which (assuming that b>0) is true if and only if
b2>b2−4c,
since both sides of the inequality are positive so we may square. But then
4c>0.
That is, if the roots are real and positive then b>0 and b2≥4c>0.
Now suppose that b>0 and b2≥4c>0.
Then the roots of (1) are real since b2−4c≥0, and b>0 guarantees that the root b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√ is positive.
So it remains to show that b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√>0. We have that
4c>0,
so that
b2>b2−4c,
then square rooting shows that
b>b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√,
so the roots of (1) are real and positive, as required.
Approach 2
the curve y equals x squared minus b x plus c showing two positive roots for y equals zero
This is intended to be a proof without words! We have from the diagram that:
If c, b and b2−4c are all positive, there are two real positive roots for x2−bx+c=0 (if b2=4c, we have two real positive equal roots).
If there are two real positive roots for x2−bx+c=0, then c and b are positive and b2−4c is non-negative.
(Why is the distance between the roots b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√?)
Approach 3
When solving problems about the roots of polynomials, it is often useful to find expressions those roots must satisfy and see if this tells us anything new. If α and β denote the roots of the equation, then
x2−bx+c=(x−α)(x−β)=x2−(α+β)x+αβ
and so α+β=b and αβ=c.
We also know that the roots of a quadratic equation are real if and only if the discriminant is non-negative, that is, if and only if b2−4c≥0.
Using these facts, if α and β are both real and positive, then b=α+β>0, c=αβ>0 and b2≥4c, as above.
Conversely, if b>0 and b2≥4c>0, then we know the discriminant is positive and hence both roots are real. We also have that
αβ>0(2)
and
α+β>0.(3)
As α and β are both real, by (2), we know that α and β are either both positive or both negative. However, if α and β were both negative, then (3) could not possibly hold. Hence α and β are both positive, as required.
We now sketch on a graph the region where b>0, c>0 and b2≥4c:
The curve b squared = 4 c as a quadratic with the c-axis vertical and the b-axis horizontal. The region below it is shaded.
The region of the b-c plane for which b>0, c>0 and b2≥4c
Sketch the region of the b-c plane in which the roots of the equation are real and less than 1 in magnitude.
We know that in order for the roots to be real we need b2≥4c as in the first part. We now need to find the region where
−1<b±b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2<1.(4)
We have b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2≤b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2 so we only need to consider the values for which both
−1<b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2andb+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2<1.
Firstly, we will consider the values for which
b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<2.
Rearranging gives
b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<2−b.
So b<2, as the square root is non-negative, and we can square both sides to get
b2−4c<4−4b+b2,
which we may rearrange to find c>b−1.
We will now consider the values for which
−2<b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√.
Similarly, we can rearrange to get
b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<b+2.
So b>−2, and we can, as before, square to get
b2−4c<b2+4b+4,
and hence c>−b−1.
To sketch the graph, we start by considering the boundary curves b2=4c, c=b−1 and c=−b−1, and the points at which they intersect. We can see that the two lines only intersect when b=0 and c=−1, and the lines intersect the curve when
b2=4b−4andb2=−4b−4
which rearrange to
(b−2)2=0and(b+2)2=0.
This tells us that each line intersects with the curve in only one place and so these lines must be tangent.
Is there a way we could have deduced this directly from (4)?
What do the lines being tangent signify in terms of our equation x2−bx+c=0?
Is this a representation of a well-known property of these equations?
Sketching the graph then yields the following picture:
The graph with the previous curve and the lines 4 c = 4 b minus 4 and 4 c = minus 4 b - 4. Each line touches the curve once and the two lines intersect at (0, minus 1). The region between the three lines/curves is shaded.
The shaded region is where b2≥4c, c>b−1, c>−b−1 and −2<b<2
We might notice that when we derived the inequalities c>b−1 and c>−b−1, a lot of the work we did was very similar.
We might also notice that the graph above is symmetric about the c axis. Why is this?
Does the graph give us any ideas about how we might deduce one inequality from the other?
Step-by-step explanation:
Mr. Jordan plans to leave the total of his savings to his four children. If they all are to receive the same amount of inheritance and the total savings that he has is $501,052.40, how much will each of them receive?
Answer:
$125,263.10
Step-by-step explanation:
In order to calculate the total amount that each one of the children will receive we simply need to divide Mr. Jordan's total savings by the total amount of children that he has. This will evenly divide his savings to the children so that each one has the exact same amount.
501,052.40 / 4 = 125,263.10
Therefore, each of the four children will receive a grand total of $125,263.10
(picture)
for each number on the left,place a check mark under the numbers it is divisible by.
45- 3, 5, 9
369- 3, 9
7870- 2, 5, 10
1976- 2, 4,
6003- 3, 9
136- 2, 3, 4
1674- 2, 3, 6, 9
35496- 2, 3, 4, 6, 9
How do I answer questions that I don't know
Answer:
look it up
Step-by-step explanation:
Try and find a way to look it up.
Answer:
Im gussing you are talking about this website/app you dont have to answer all the questios you ca skip them if you dont know them and find another one to answer
Step-by-step explanation:
Find the common difference of the arithmetic sequence –8, -2, 4, ...
Answer:
d = 6Step-by-step explanation:
[tex]a_1=-8\\a_2=-2\\a_3=4\\\\d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}\qquad\qquad \{n\ge2\}\\\\\left{\big{a_2-a_1=-2-(-8)=-2+8=6}\atop\big{a_3-a_2=4-(-2)=4+2=6\quad\ \,}\right\}\implies\ \ d=6[/tex]
Express this ratio in its simplest form.
240cm : 3.6m
Please helpppp meee
Answer:
the answer is 90° because you need to figure out the degree.
Step-by-step explanation:
2 and 3 equals to 6 .
That's how you got that.
ms kim borrowed 1350 to buy to used a automobile if she repays 75 a month how many months will it take ro pay back the loan
Answer:
18 months
Step-by-step explanation:
since 1350/75 is 18
Wendell would like to make some chocolate chips cookies. His recipe calls for the use of 1/2 cups of sugar per batch.he has 3 1/4 of sugar in his apartment. Accidentally, drops 1 cup of sugar on the floor. How many whole batches of sugar cookies can he make with the sugar he had leftover
Answer:
He can make 4 batches of sugar cookies.
Step-by-step explanation: 4x1/2=2 and because he lost 1 cup, he only has 2 cups left
Solve 14+3n=5n−6 . Check your solution.
n= __
Answer:
N = 10
Step-by-step explanation:
Subtract 3n from both sides
14 = 2n - 6
add 6 to both sides
20 = 2n
divide by 2
n = 10
Answer:
n = 10
I hope this helps!
help i’m timed pllzzzzz
Answer:
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
Step-by-step explanation:
The standard form of trinomial is given as:
[tex]ax^2+bx+c[/tex]
And the factored form is:
[tex](px+r)(qx+s)[/tex]
In order to find the values of a,b and c in terms of p,q,r and s we will take the factored form, multiply it and then compare it with the standard form.
So,
[tex](px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs[/tex]
Now comparing it with the standard form of trinomial
We will compare the co-efficients of x^2, x and the constant
By comparing, we get
[tex]a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s[/tex]
Hence,
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
Solve: -68.1 * 0.8
A) -54.48
B) 68.9
C) 54.48
D) -68.9
Answer:
A) - 54.48
Step-by-step explanation:
Just plug it into the calculator like this; (-68.1) x 0.8, which equals -54.48.
the answer is negative because you multiplied a positive # and a negative #.
The equation w = 6m+4, relates how a dog's weight varies with age, where m represents its age in months, and the w represents its weight in pounds. How many months before the dog weighed 58 pounds?
Answer:
9 monthsStep-by-step explanation:
Given the relationship of the dogs weight ang its age modeled by the equation;
w = 6m+4
m represents its age in months, and;
w represents its weight in pounds
Given
w = 58pounds
Required
number of months m before the dog weigh 58pounds;
Substitute w = 58 into the function and get m as shown;
w = 6m + 4
58 = 6m + 4
subtract 4 from both sides
58-4 = 6m+4-4
54 = 6m
divide both sides by 6
54/6 = 6m/6
9 = m
m = 9
Hence it will take 9months before the dog will weigh 58 pounds
when divided by 6 i am 200 when divided by 4 i am 200
Answer:
umm
Step-by-step explanation:
what? XD wdym
confusion...
What are some reasons to live I could use them right now
Answer:
mom will be sad
Step-by-step explanation:
YOU ARE A BEATIFUL AND AMAZING PERSON DONT DIE ON ME LIKE THIS
monique gave half of her necklace to her younger sisters. then she bought 4 new ones. if she now has 18, now many did she have originally
Answer:
She originally had 7 necklaces.
Step-by-step explanation:
She now has 18 necklaces. She bought four more. That would be 18 - 4 = 14. She gave half of them to her sisters. 14 divided 2 is 7.
Answer:
i think 28 possibly
Step-by-step explanation:
because she bought 4 new ones so 18-4 =14x2 =28?
i don't know if im right but hopefully this helped
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:
Which statement best describes the relationship between the positions of the two players?
Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Answer:
The answer is B.
Step-by-step explanation:
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:
A coordinate plane is shown. There is a point at negative 6, 3 labeled Dog 1. There is a point at negative 6, negative 3 labeled Dog 2.
PLEASE HELP !! BRAINLIEST AND 10 POINTS
Subtract: 3.8 - 2.923. Explain in your own words how you would solve this, in detail, from start to finish.
Answer:
Step-by-step explanation:
3.8-2.923
Change to 3.800 to match the number of digits in the second number. Work from right to left. 3 minus 0 is 7. work our way over until the end. You should get 0.877 for an answer.
PLEASE HELP ILL MARK YOU BRAINLIEST
Answer:
C
Step-by-step explanation:
Answer:
C i think
Step-by-step explanation:
Solve for C p=b+c/5 I need help
Answer:
Step-by-step explanation:
p = b + c/5 Subtract b from both sides
p - b = c/5 Put brackets around the left side
(p - b) = c/5 Multiply by 5
5(p - b) = c
HELP PLZZZZZZZZZZ ITS DUE NOW
Answer:
yes its a right trinagle
Step-by-step explanation:
well first it has a right corner which is a right angle you can tell by putting your hand like a L
Leila and Jo are two of the partners in a business. Leila makes $3 in profits for every $4 that Jo makes. If Jo makes $60 profit on the first item they sell, how much profit does Leila make? pls help U_O
Answer:
54
Step-by-step explanation:
hi
I need the answer quickly
I cannot see the text. If you take another picture zoomed in I will answer it.
Answer:
The country Australia had the greatest percentage of its students report being right hand dominant with approximately 86%
My grandfather is shrinking. He decreases in size 1/4 cm each year. What is his total change in height over 5 years. Write your answer using negative numbers
Answer:
That old mans change in height is -1 1/4 over 5 years.
Step-by-step explanation:
Answer:
-5/4 cm would be the answer.
Step-by-step explanation
This is the answer because -1/4 cm multiplied by 5 years would equal -5/4 cm.
Confused and I need help please
Which graph shows the solution set of the compound inequality 1.5 x minus 1 greater-than 6.5 or 7 x + 3 less-than negative 25?
A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded between the two circles.
A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.
A number line goes from negative 10 to positive 10. An open circle appears at negative 4. The number line is shaded from negative 4 toward negative 10.
A number line goes from negative 10 to positive 10. An open circle appears at positive 5. The number line is shaded from positive 5 toward positive 10.
Answer:
After solving the compound inequality [tex]1.5x-1>6.5 \ or \ 7x+3<-25[/tex] we get [tex]\mathbf{x>5 \ or \ x<-4}[/tex]
Option B is correct.
Step-by-step explanation:
We are given compound inequality: [tex]1.5x-1>6.5 \ or \ 7x+3<-25[/tex]
We will first solve the inequalities to find the value of x, then will draw the graph.
[tex]1.5x-1>6.5 \ or \ 7x+3<-25\\1.5x-1+1>6.5+1 \ or \ 7x+3-3<-25-3\\1.5x>7.5 \ or \ 7x<-28\\x>\frac{7.5}{1.5} \ or \ x<\frac{-28}{7}\\x>5 \ or \ x< -4[/tex]
So, after solving the compound inequality [tex]1.5x-1>6.5 \ or \ 7x+3<-25[/tex] we get [tex]\mathbf{x>5 \ or \ x<-4}[/tex]
Now, the number line will be as shown in figure.
The description as given in options is:
A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.
so, Option B is correct.
Answer:
the answer is b
Step-by-step explanation:
2020 edge
Use the distributive property to write an expression that is equivalent to the sum of 9 and 54.
9(1 + 6)
9(9 + 6)
9(1 + 54)
9(1) + 9(54)
Answer:
A-9(1=6)
Step-by-step explanation:
Correct on edg
pls answer QUICK PLSSSS
Step-by-step explanation:
1) 13.57
+2.93
With this, we subtract from the back Meaning we add starting from back to forward;
13.57
+2.93
16.50
We have that because when you add 7 and 3 you get 10 so we write the 0 there and add the remaining 1 to the 5 making it 6 and then 6 plus 9 will give you 15 then we write the 5 then we add the remaining 1 to the 3 making it 4 then we add the 4 to the 2 making it 6 after this there is no remainder so we just write the 1.