Answer:
Positive Roots: 2 or 0
Negative Roots: 1
Step-by-step explanation:
f (x) = 6x3 − 3x2 + 5x + 9
To find the possible number of positive roots, look at the signs on the coefficients and count the number of times the signs on the coefficients change from positive to negative or negative to positive.
f (x) = 6x3 − 3x2 + 5x + 9
Since there are 2 sign changes from the highest order term to the lowest, there are at most 2 positive roots (Descartes' Rule of Signs). The other possible numbers of positive roots are found by subtracting off pairs of roots (2 − 2).
Positive Roots: 2 or 0
To find the possible number of negative r oots, replace x with −x and repeat the sign comparison.
f (−x) = 6(−x)3 − 3(−x)2 + 5 (−x) + 9
Simplify each term.
Apply the product rule to −x.
f (−x) = 6 ((−1)3x^3) − 3(−x)^2 + 5 (−x) + 9
Raise −1 to the power of 3.
f (−x) = 6 (−x^3) − 3(−x)^2 + 5 (−x) + 9
Multiply −1 by 6.
f (−x) = −6x^3 − 3(−x)^2 + 5 (−x) + 9
Apply the product rule to −x.
f (−x) = −6x^3 − 3 ((−1)^2(x^2)) + 5 (−x) + 9
Raise −1 to the power of 2.
f (−x) = −6x^3 − 3 (1x^2) + 5 (−x) + 9
Since there is 1 sign change from the highest order t erm to the lowest, there is at most 1 negative
root (Descartes' Rule of Signs). Negative Roots: 1
The possible number of positive roots is 2 or 0, and the possible number of negative roots is 1. Positive Roots: 2 or 0
Negative Roots: 1
a line is parallel to y=-2x+1 and intersects the point (4,1). what is the equation of this parallel line
Answer:
y=-2x+9
Step-by-step explanation:
I need help finding JKLM
Answer:
JKLM = 96 in^2
Step-by-step explanation:
294/21 = 14
21/12 = 14/x
21 * x = 12 * 14
21x=168
x=8
A = L*W
A=12*8
A=96 in^2
Help Pleaseeeeeeeeeeeeee!!!!!!!!! Help!!!!!!!
Answer:
i think its C and E
Step-by-step explanation:
( correct me if im wrong, i hope this helps!! )
The online store charges a flat rate of $4.99 for shipping. Ashley is buying a book for $21.93. She could buy the same book with a hardcover for $2.50 more.
Pls help extra points and mark brainlist easy reading
Answer:
sneaking
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
(lol optional): add my sc: tealyn337
36 over 9 = g over 1
Answer:
4/1
Step-by-step explanation:
g is 4
y - 6 + x; use x = 6, and y = -2
Answer:
If you want y-6+x solved, it's -2
Step-by-step explanation:
Substitute 6 for x and -2 for y and you get (-2 - 6 + 6 =?). -2 - 6 = -8. -8 +6 = -2.
Simple way to do this is the given -6 and the 6 cancel out and that leaves the -2 from the y.
Solve.
y= 2x + 4
y= 2x2
Answer:
5 terms
Step-by-step explanation:
The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed, with mean μ = $633 and standard deviation σ = $45.
(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.)
(b) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.09? (Round your answer to the nearest dollar.)
$
Answer:
(a) 0.3863
(b) $693
Step-by-step explanation:
Mean μ = $633
Standard deviation σ = $45.
(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.)
We solve this question using the z score formula
z = (x-μ)/σ
where:
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x > $646
z = $646 - $633/$45
z = 0.28889
Probability value from Z-Table:
P(x<646) = 0.61367
P(x>646) = 1 - P(x<646) = 0.38633
Approximately = 0.3863
The probability that the actual costs will exceed the budgeted amount is 0.3863
(b) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.09? (Round your answer to the nearest dollar.
Let the budgeted amount = x
Converting 0.09 to percentage = 0.09× 100% = 9%
100 - 9% = 91%
We find the z score of 91%
= 1.341
We are to find x
Using z score formula
z = (x-μ)/σ
1.341 = x - 633/45
Cross Multiply
1.341 × 45 = x - 633
60.345 = x - 633
x = 60.345 + 633
x = $693.345
Approximately to the nearest dollar is $693
what is the reciprocal of -1/5
Answer:
5/-1
Step-by-step explanation:
The reciprocal is just flipping the fraction.
What is equivalent to 5^3•5^4
Answer:
[tex] {5}^{7} [/tex]
Step-by-step explanation:
[tex]5^3•5^4 = {5}^{3 + 4} = \purple{ \bold{ {5}^{7} }}[/tex]
4km : 370m in simplest form
Answer:
2km to 185 meters
Step-by-step explanation:
answered
A swimming pool containing 2000l of water is 1/16 full. How many litres of water is required to make the pool half full
1
SEE ANSWER
Answer:
16,000 liters
Step-by-step explanation:
Assuming the pool does not curve in any direction and is a big box with 90° corners:
1/16. 2,000 liters
2/16. 4,000 liters
3/16. 6,000 liters
4/16. 8,000 liters
5/16. 10,000 liters
6/16. 12,000 liters
7/16. 14,000 liters
8/16. 16,000 liters
9/16. 18,000 liters
10/16. 20,000 liters
Answer:
Half full = 16,000 liters
Need to add 14,000 more liters
Step-by-step explanation:
Proportions and Fractions
The swimming pool contains 2,000 liters of water and it's said to be 1/16 full. this means that the total capacity of the pool is:
2,000 liters * 16 = 32,000 liters
It's required to calculate how many liters of water are required to make the pool half full.
This can be found by dividing the above number by 2, thus:
Half capacity of the pool = 32,000 / 2 = 16,000 liters
We'll provide the following answer in case it's required.
To reach half capacity, it would be necessary to add
16,000 liters - 2,000 liters = 14,000 liters of water to the existing amount.
Anna is selling boxes of cookies and tubs of popcorn for a Student Council fundraiser. On Monday, she made $40 selling 4 boxes of cookies and 2 tubs of popcorn. On Tuesday, she made $35 selling 1 box of cookies and 3 tubs of popcorn.
Write a system of equations to represent the cost of a box of cookies, x, and the cost of a tub of popcorn, y.
Answer:
5 boxes of cookies and 5 tubs of popcorn = $75
Step-by-step explanation:
To find y divide what is sold by 4 boxes of cookies and x by 2 tubs of popcorn.
The solution is
The cost of box of cookies x = $ 5
The cost of tub of popcorn y = $ 10
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the cost of cookies be = x
Let the cost of popcorn be = y
And ,
On Monday, Anna made $40 selling 4 boxes of cookies and 2 tubs of popcorn
Substituting the values in the equation , we get
4x + 2y = 40 be equation (1)
And ,
On Tuesday, Anna made $35 selling 1 box of cookies and 3 tubs of popcorn
Substituting the values in the equation , we get
x + 3y = 35 be equation (2)
On simplifying both equations , we get
Multiply equation (2) by 4 , we get
4x + 12y = 140 be equation (3)
Subtracting equation (1) from equation (3) , we get
10y = 140 - 40
10y = 100
Divide by 10 on both sides of the equation , we get
y = $ 10
So , the cost of tub of popcorn is $ 10
Substituting the value of y in equation (2) , we get
x + 3y = 35
x + 30 = 35
Subtracting 30 on both sides of the equation , we get
x = $ 5
So , the cost of box of cookies is $ 5
Hence , the cost of cookies is $ 5 and cost of popcorn is $ 10
To learn more about equations click :
https://brainly.com/question/19297665
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What is an angle that is supplementary KFA?
Given:
A diagram.
To find:
An angle that is supplementary to ∠KFA.
Solution:
Supplementary angle: Two angles are called supplementary angles if they are lie on the same side of a straight line and their sum is 180 degrees.
From the given diagram, it is clear that ∠KFA lies on the intersection of lines HL and IK.
∠KFA and ∠DFA lie on the same side of a straight line IK.
∠KFA and ∠KFL lie on the same side of a straight line HL.
So, ∠DFA and ∠KFL are the angles supplementary to ∠KFA.
We need only one supplementary angle. So, we write either ∠DFA or ∠KFL.
Therefore, an angle that is supplementary to ∠KFA is ∠KFL.
What is the value of (4)5/(4)3?
He me out with this question
Answer:
I believe the answer is B.
Help plssss with my exit ticket
Answer: 200.96 ft^2
Step-by-step explanation:
area of circle = (3.14 (pi))r^2
Radius is 6 (16 (the diameter)/2 = 8)
Answer:
Answer is H 200.96 :) Have a Happy Thursday!!
It is known that the distance in metres through which a body falls freely varies directly as the square of the time taken. If a body falls through 80 metres in 4 seconds, find the distance it would fall in 5 seconds.
step-by-step easy explanation, please.
Answer:
K = 5 ; 125 m
Step-by-step explanation:
body falls through 80 metres in 4 seconds, find the distance it would fall in 5 seconds.
Given that:
Distance α (Timetaken)²
Distance = d ; Timetaken = t
d = Kt²
K = constant of proportionality
80 = k4²
80 = 16k
K = 80 / 16
K = 5
Distance it would fall in 5 seconds ; t = 5
D = Kt²
D = 5 * 5²
D = 5 * 25
D = 125
It will fall a distance of 125 m in 5 seconds.
Find the slope of the line going through the given pair of points.
(-4, 0) and (0, -3)
Answer:
Step-by-step explanation:
Do this worksheets if someone do I will make him or her brainly if correct.
Answer:
in the picture above
Step-by-step explanation:
I hope that it's a clear solution and explanation.
EFGH is an isosceles trapezoid. If EH=4x-27 and FG=x+9, find the value of x.
PLEASE HELP ASAP!
Answer:
If EFGH is an isosceles trapezoid,
if
EH=4x-27+
FG=x%2B9+
EG=3y%2B19
FH=11y-21
then EH=FG and EG=FH
set up equations:
4x-27=x%2B9 .......solve for x
4x-x=27%2B9
3x=36
x=36%2F3
3y%2B19=11y-21.......solve for y
11%2B19=11y-3y
30=8y
y=30%2F8
y=15%2F4
y=3.75
so,x=12 and y=3.75
you can also check the length of equal sides and equal diagonals:
EH=4%2A12-27+=21
FG=12%2B9+=21
EG=3%283.75%29%2B19=30.25
FH=11%283.75%29-21=30.25x=12
Step-by-step explanation:
Identify the slope and y- intercept y=2x + 2
Answer:
Slope:2
Y-int:2
Step-by-step explanation:
y=m(slope)x+b(y-int)
Answer:
Slope is 2, Y-intercept is 2
Step-by-step explanation:
Point-slope form is y=mx+b
m=slope
b=y-intercept
Hope this helped.
Need answer ASAP. Will give brainliest
Answer:
b
Step-by-step explanation:
V 34
Answer:
B
Step-by-step explanation:
credit to the other person
The dimensions of a cylindrical water tank are shown below.
18 yd
o
58,320 yd
3,240 yd
60 yd
O
19,440 yd
15,270 yd3
Which of the following is the best estimate of the volume of
this water tank?
✓15
Is this rational or irrational
Answer:
irrational
Step-by-step explanation:
√15 is not a rational number it's a irrational number
:-))
Answer:
Irrational
Step-by-step explanation:
Rational numbers are those that can be written in the form a/b where a and b are both integers with no common factors.
sqrt15 cannot be written in that form, therefore it is irrational.
A soccer team is saving money to buy new uniforms. The total cost for the uniforms is $88.74. There are 9 players on the team, and each player needs to save the same amount.
How much money does each player need to save?
A
$9.86
B
$98.60
C
$798.66
D
$788.66
Answer: A
Step-by-step explanation: $88.74÷9=$9.86
$88.74 is the total amount
9 players, and each player has to pay the same amount
we have to divide it evenly in 9 pieces, so we divide $88.74 into 9 groups which then equals $9.86
Hope this helps!
Find the missing side or angle.
Round to the nearest tenth.
b=26
a=25
c=5
B=[? ]°
Answer:
The anwer for Acellus people is B=96 degrees
Step-by-step explanation:
need help SHOW YOU WORK PLS
Find the measure of each angle. a. Angle A = ? b. Angle B = ? c. Angle C = ?
Answer:
angle A=140
angle B=105
angle C=60
angle A=140
angle B=105
angle C=60
Step-by-step explanation:
PENN