Answer:
[tex]P(x) = -\frac{11}{12}(x+2)(x+1)(x-3)[/tex]
Step-by-step explanation:
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Zeros of -2,-1, and 3
This means that:
[tex]P(x) = a(x - (-2))(x - (-1))(x - 3) = a(x+2)(x+1)(x-3)[/tex]
Passes through the point (2, 11).
This means that when [tex]x = 2, P(x) = 11[/tex]. We use this to find the leading coefficient.
[tex]P(x) = a(x+2)(x+1)(x-3)[/tex]
[tex]a(2+2)(2+1)(2-3) = 11[/tex]
[tex]-12a = 11[/tex]
[tex]a = -\frac{11}{12}[/tex]
So the polynomial is:
[tex]P(x) = -\frac{11}{12}(x+2)(x+1)(x-3)[/tex]
Estimate 62% of 196.
HELPPPPPPPPP PLEASEEEEEE
I WILLL MARK YOU BRILL
Statistics - Please Help!!!
The question is in the screenshot.
Answer: See the table below (attached image)
SSb = 2345SSt = 5639DFb = 5DFw = 54MSb = 469=============================================================
Explanation:
I'll start at the right side of the table and work my way toward the left side.
I recommend you have a one way ANOVA formula sheet handy. Such a formula sheet should be located somewhere in the ANOVA chapter of your stats textbook, or toward the appendix section. There are various free online resources to search out as well.
On that formula sheet you should find that
(MSb)/(MSw) = F
where MSb and MSw are the mean squares between and within respectively.
We can find the value of MSb like so
(MSb)/(MSw) = F
MSb = F*MSw
MSb = 7.682*61
MSb = 468.602
This rounds to 469, so we'll go with MSb = 469. The reason I'm rounding is that I've done a similar problem in the past, and the computer system wanted me to round to the nearest whole number. Also, note how every value of the table given to us consists of whole numbers. Of course, your teacher may want you to keep the decimal value instead. So I would ask for clarification if possible.
Since we're going with MSb = 469, this means 469 goes in the last box of row 1.
-----------------------------------------------
Now go back to your reference sheet to locate this formula
MSw = (SSw)/(DFw)
Rearrange this formula to get
DFw = (SSw)/(MSw)
Now plug in the values we have from the table to find,
DFw = (SSw)/(MSw)
DFw = (3294)/(61)
DFw = 54 which goes in the box found in the second row.
-----------------------------------------------
Now recall that
DFb + DFw = df
where DFb is the degrees of freedom between and df is the total degrees of freedom, which in this case is 59.
Using the table and the value we found earlier, we can see that,
DFb = df - DFw
DFb = 59 - 54
DFb = 5 this goes in the second box of row one (ie above the 54).
-----------------------------------------------
Also on your formula sheet, you should see something like
MSb = (SSb)/(DFb)
where each lowercase 'b' stands for "between", and the other abbreviations are what were discussed earlier.
That formula rearranges into
SSb = (DFb)*(MSb)
Then we can use the values we calculated earlier to find
SSb = (DFb)*(MSb)
SSb = (5)*(469)
SSb = 2345 this goes in the first box of row one.
----------------------------------------------
Lastly, computing the total sum of squares (SSt) will simply involve us adding the two SSb and SSw values to get
SSt = SSb + SSw
SSt = 2345 + 3294
SSt = 5639 this goes in the box of row three.
----------------------------------------------
To summarize, we have these values to fill into the table
SSb = 2345SSt = 5639DFb = 5DFw = 54MSb = 469where we have these abbreviations
SS = sum of squaresMS = mean squareDF = degrees of freedomb = betweenw = withinCheck out the diagram below for the filled in values.
To summarize the formulas used, we basically have the template of
MS = (SS)/(DF)
for both between and within. And we also have the formula F = (MSb)/(MSw). So effectively, the values are found through various division formulas or rearrangements of such. I'm referring to working along any given row. For any given column, we add up the values to get the totals, though that of course does not apply to MS or F.
Admittedly, ANOVA tables and concepts can be confusing because there are a lot of variables and steps going on. But once you get used to it, it's not too bad if you can see how the patterns are emerging (the division and additions I was referring to earlier).
You are dealt a card from a standard 52 card deck , what is the probability of getting an ace
Answer:
0.1538
Step-by-step explanation:
Probability of being dealt with an ace of a 8 =
= Number of ace + number of an 8 in the deck / Total number of cards in the deck
= (4+4) / 52 = 8/52 = 0.1538
Therefore 0.1538 is the required probability here.
Answer:
[see below]
Step-by-step explanation:
There are four aces in a standard deck of cards.
[tex]\frac{aces}{cards}=\frac{4}{52}= 0.076923076923...[/tex]
0.076923076923... ≈ 0.077
0.077 = 7.7%
There is an approximate 7.7 percent chance that you will get an ace.
Hope this helps.
I make $1,850 every two weeks after the government taxes me. Before taxes it’s $2,500. Tell me what percentage that is please.
Answer:
it would be dependent on wherre you live in the country give backround
The difference of two number is 3.Their sum is 13.Find the numbers
Answer:
8,5
Step-by-step explanation:
x-y=3
x+y=13
2x=16
x=8, y=5
Answer: 8 and 5
Step-by-step explanation:
x - y = 3
x + y = 13
------------------ (add the two equations)
2x = 16
x = 8
8 + y = 13 (substitute x as 8 into one of the equations)
y = 5
What is the value of x?
Answer:
Option A = 6
Step-by-step explanation:
3x- 5 = x+ 7 ( as diagonals r equal in a recangle)
3x-x = 7+ 5
2x = 12
x = 12/ 2 = 6
I hope im Right !!
Please help me ASAP please
Answer:
297 cm²
Step-by-step explanation:
11x11=121
4x1/2x11x8=176
121+176=297
Which is the graph of a logarithmic function
Brad and Terrence are working on some math problems. Today, Terrence completed 15 math problems. This is 3 more than twice the number of problems that Brad completed. A)Write an equation that can used to find , b, the number of math problems that Brad completed.
Answer:
2b + 3 = 15
b = 6
Step-by-step explanation:
Please help and don’t scam for points
Answer:
I'm guessing the equation would be 5x=30 and x would = 6
Step-by-step explanation:
5x = 30
5 5
x = 6
Simplify.
(-216) ^-1/4
Answer:14 or 0.25
Step-by-step explanation:
It’s basically already written there but decimal form is 0.25
Evaluate the cosine angle X please !
Answer:
in right angled triangle
h =√(24²+7²)=25
cos X = base/hypotenuse=24/25
9. Density measures
A. how much liquid is in an object.
C. how tightly packed an object's particles are.
B. the amount of space an object takes up.
D. the amount of matter contained in an
object.
Answer:
How tightly packed an object's particles are.
What value of x makes the equation below true? 6x − 7 = 26
A.5
B.5.5
C.6
D.6.5
Answer:
B
Step-by-step explanation:
6x-7=26
6x=33
x=5.5
Answer:
B
Step-by-step explanation:
I need more letters ssssjsjsks
Here is the picture
Answer: It's the first option
Step-by-step explanation: positive 2x because it is going up 2, 1 to the right (rise/run) and +5 because it touches the y-axis at 5. -2x because it's going down 2, 1 right (rise, in this case negative/run) and -2 because it touches the y-axis at -2.
Suppose that you borrow $3000.00 from a friend and promise to pay back $4935.00 in 3 years. What simple interest rate will you pay? The simple interest rate is % (Round to the nearest tenth as needed.)
Answer:
the simple interest rate is 18.00%
Step-by-step explanation:
The computation of the simple interest rate is shown below:
Amount = Principal × (1 + rate)^years
$4,935 = $3,000 × (1 + rate)^3
After solving it, the rate of percentage is 18.00%
Hence, the simple interest rate is 18.00%
a cuántos gramos equivale y 250 gramos
Answer:
Me puedes dar más información?...Pliss
Answer: Para esto nesesitamos mas informasion asi no te la podemos responder cariño.
Step-by-step explanation:
we are working on solving system of equations by substitution. can you please explain how to get the answer for
5x+y=2
x+y=10
Answer:
try symbolab calculator it will give you a step by step explanation
Answer:
x= -2
y= 12
Step-by-step explanation:
5x + y = 2..................eqn 1
x + y = 10 ..................eqn 2
from eqn 1
5x + y = 2, u substitute by making 'y' the subject
y = 2 - 5x .................eqn 3
put eqn 3 into eqn 2
x + y = 10
x + 2 - 5x = 10
x - 5x = 10 - 2
-4x = 8
x = 8 / -4
x = -2
put x = -2 into eqn 1
5x + y = 2
5(-2) + y = 2
-10 + y = 2
y = 2 + 10
y = 12
7.4 as a mixed fraction
7.4 in fix fraction will look like this:
[tex]7 \frac{2}{5} [/tex]
If you buy a 64 ounce carton of juice for 3.69, how much is the unit price to the nearest 10th of a cent
Answer:
£ 0.058
Step-by-step explanation:
Hope it is helpful....
If 3n + 7 = 25, then find the value of the expression 8n - 3]
In ∆ DEF and ∆ XYZ, DE = XY, angle E = angle Y and EF = YZ. Name the
test of congruency by which both the triangles are congruent.
Answer:
n=6,
SAS,
63
Step-by-step explanation:
3n+7=25
3n=25-7
3n=18
n=18/3
n=6
_______________________________
ΔDEF is congruent to ΔXYZ
DE=XY(side)
<E=<Y (angle)
EF=YZ (side)
by SAS congruence criteria ΔDEF=ΔXYZ
_________________________
(Linear pair)
180°-117°
=63
Answer=63
Help me with this pls
Answer:
x = 34
Step-by-step explanation:
4x + 10 + x = 180
5x + 10 = 180
-10 -10
5x = 170
divide by 5
x = 34
_____________________
4(34) + 10
136 + 10
=146 and 34
Is landing on an odd number on a 6 sided dice impossible,unlikely,equally likely,likely, or certain?
y = 2x - 9
Determine the slope and the y-intercept (entered as an ordered pair) of the equation above. Reduce all fractions to lowest terms.
Slope:
y-intercept:
117
x
x + 3
Find the value of x.
Answer:
114 I believe........
..
Answer:
what?
Step-by-step explanation:
Answer ASAP ASAP needed now
Answer:
C
Step-by-step explanation:
tanθ = opposite/adjacent ---> θ = arctan(opposite/adjacent)
opposite = 51
adjacent = 68
θ = arctan(51/68)
Maria has a recipe for pumpkin bread. She uses 3 ½ cups of flour to make 2 loaves of pumpkin bread. Alex will follow the same recipe. He will make b loaves of pumpkin bread using f cups of flour. Write an equation that represents the relationship between b and f.
Answer:
b + 1.75f
Step-by-step explanation:
1.75 cups are used for every loaf of pumpkin bread.
Answer:
f(4/7)=b
Step-by-step explanation:
3+1/2=7/2
(7/2)x=2
x=4/7
the constant of the equation is 4/7
so take f and b and put f in place for 7/2 cups and b for 2 loaves of bread.
f(4/7)=b
Hope that helps :)
Please help me with this
Answer:
SAS
Step-by-step explanation:
be carful, don't exactly know if sas is right
The graph shows a proportional relationship between a family's distance from home and the time they spent driving. What is the constant of proportionality? What does the point (1,49) represent?
Answer:
Step-by-step explanation:
Graph shows the proportional relationship between a family's distance from home and the time spent by them in driving.
Distance from home ∝ time
Distance from home = k(time)
Here 'k' = proportionality constant
For a point (1, 49) on the graph,
49 = k(1)
k = 49 miles per hour
And point (1, 49) will represent 49 miles in 1 hour.
Option (3) is the answer.