There are five sign changes, so there are five or, counting down in pairs, three or one negative solutions. Then my answer is:There are two or zero positive solutions, and five, three, or one negative solutions.In the above example, the maximum number of positive solutions (two) and the maximum number of negative solutions (five) added up to the leading degree (seven). It will always be true that the sum of the possible numbers of positive and negative solutions will be equal to the degree of the polynomial, or two less, or four less, or....This can be helpful for checking your work. For instance, if I had come up with a maximum answer of "two" for the possible positive solutions in the above example but had come up with only, say, "four" for the possible negative solutions, then I would have known that I had made a mistake somewhere, because 2 + 4 does not equal 7, or 5, or 3, or 1
There are four, two, or zero positive roots, and zero negative roots.
Descartes' Rule of Signs can be useful for helping you figure out (if you don't have a graphing calculator that can show you) where to look for the zeroes of a polynomial. For instance, suppose the Rational Roots Test gives you a long list of potential zeroes, you've found one negative zero, and the Rule of Signs says that there is at most one negative root. Then you know that you've found every possible negative root (rational or otherwise), so you should now start looking at potential positive roots.Similarly, if you've found, say, two positive solutions, and the Rule of Signs says that you should have, say, five or three or one positive solutions, then you know that, since you've found two, there is at least one more (to take you up to three), and maybe three more (to take you up to five), so you should keep looking for a positive solution.
i need the answerrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answer:
The first number is zero, and the second number is 17
Step-by-step explanation:
If we triple the first number (which is zero), it would still equal zero. Then, if you double the second number the answer would be 34.
have a good day!! :)
Which linear equation can be used to represent a line perpendicular to Line W passing through point (-3,-2)?
line is x=8 on graph PLEASE HELP!
Answer:
x=-3
hope this helps!!:)
Step-by-step explanation:
) Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000 . Find the maximum revenue Luci can make selling cookies in one day
Answer:
The maximum revenue Luci can make selling cookies in one day is $4,004,000.
Step-by-step explanation:
Given;
x = −2000 p + 4000 ..................... (1)
Revenue = xp
Revenue = (−2000 p + 4000)p =
Revenue = −2000p^2 + 4000p .................... (2)
The price at which Luci will the maximum profit can be calculated by finding the derivative of equation (2), equating to 0, and then solve for p as follows:
−4000p + 4000 = 0
4000 = 4000p
p = 4000 / 4000
p = 1
This implies that the price at which Luci will the maximum profit is $1.
Substituting p = 1 into equation (2) to obtain the maximum revenue Luci can make selling cookies in one day, we have:
Revenue = (−2000 * 1)^2 + (4000 * 1)
Revenue = −2000^2 + 4000
Revenue = 4,000,000 + 4000
Revenue = 4,004,000
Therefore, the maximum revenue Luci can make selling cookies in one day is $4,004,000.
The range for a set of data, A. is 6.2
The range for another set of data, B. is 7.1.
Compare the spread of set A and B.
what
Answer:
0.9
Step-by-step explanation:
range=highest-lowest
=7.1-6.2
=0.9
Please help me anyone I’m kinda stuck
Answer:
z's exponent = 5
Step-by-step explanation:
the degree of monomial is basically all of the exponents added up
so:
x's exponent + y's exponent + z's exponents = the degree
So:
1+2+z's exponent = 8
(since x to the power of 1 = x)
3+z's exponent = 8
Subtract 3 from each side:
z's exponent = 5
how fast was a plane flying if it traveled 40 kilometers in 30 minutes
Answer:
80 km/hr
Step-by-step explanation:
0.5 hour = 30 min
40 km in 30 min
80km in 60 min
Directions - Identify the key components, create an exponential equation, then answer the questions.
Exponential Form: y=a.6, a is the starting value, b is the base (rate).
In a small town, the stray dog population is rapidly increasing there are currently 15 stray dogs, and it is estimated that the population will triple every year.
How many dogs will there be after 1 year? 2 years? 3 years?
1) a =
4) Dogs after 1 years =
2) b =
5) Dogs after 2 years =
3) Equation:
6) Dogs after 3 years =
Answer:
Directions - Identify the key components, create an exponential equation, then answer the questions.
Exponential Form: y=a\cdot b^{x},\ a\ is\ the\ \textit{starting}\ \textit{value},\ b\ is\ the\ base\ (rate).\y=a⋅b
x
, a is the starting value, b is the base (rate).
In a small town, the stray dog population is rapidly increasing. there are currently 15 stray dogs, and it is estimated that the population will triple every year. How many dogs will there be after 1 year? 2 years? 3 years?
1) a = 15
4) Dogs after 1 years = 45
2) b = 3
5) Dogs after 2 years = 135
3) Equation:
y= 15 ×3x
6) Dogs after 3 years =
405
Step-by-step explanation:
What is the volume of the rectangular prism
Answer:
Step-by-step explanation:
you got this i believe in you!
The answer and the step by step explanation pleasee
Answer:
C
Step-by-step explanation:
Given
V = lwh ( isolate w by dividing both sides by lh )
[tex]\frac{V}{lh}[/tex] = w → C
A student pays for 8.6 pounds of apples with a $10 bill. How much change does the student receive?
What do you do first to solve the problem?
Answer: - $9.70.
Step-by-step explanation:
D. Solve the following problems:
in a 100 kilometer trip, jojo uses 12 liters of gasoline, how many liters of gasoline will he use on a trop of 350 kilometers?
Step-by-step explanation:
100 = 12
300 + 50 = 36 + 6 = 42 L
Factor: w^2 + 16w + 63
Answer:
(w+7)(+9) I worked it out but not sure how to attach do yea
Step-by-step explanation:
Answer: (w + 7) (w + 9)
Step-by-step explanation: factor using the ac method
9.5=25/t+(-8) helppppppppp
Answer:
437.5Step-by-step explanation:
I will REALLY answer your question :)
9.5 = 25/t + -8
The first step here is to simplify t + -8. If you add a negative of something, you also subtract. This can be rewritten as:
9.5 = 25/t - 8
Now, we need to add 8 to undo the subtraction.
17.5 = 25/t
Now, to undo the division, we will multiply the whole equation by 25.
17.5 x 25 = 437.5
(marking brainliest or however you spell it)
may someone help me on this? please?? thank you if you tried to help!
Answer:
6.4
Step-by-step explanation:
To do this you just have to multiply 40 by 2 to get 80 and than divide by 12.5 and you get 6.4
In the triangle ABC , Angle A = 46° and Angle B = 83°. How large is the exterior angle at C?
This is a problem with no diagram
Answer:
180 - 46 - 83 = 51 is the measure of angle C
the exterior angle at angle C, and angle C, are supplementary. since angle C is 51 because of the interior angle triangle sum theorem, then the exterior angle is: 180 -51 = 129 degrees.
Step-by-step explanation:
I hope this helps :)
The lines AB and CB intersect at B
(a) Find the co-ordinates of the midpoint of AB
(b) Find the equation of the line CB
Step-by-step explanation:
Soln
given,
from the figure
coordinate of B is (5,3),
A(7,0) and C(0,4)
A. solution
let, M(x,y) be the mid point of AB
A(7,0) = (x1,y1)
B(5,3) = (x2,y2)
we know
x = (x2+x1)/2
or, x = (5+7)/2
or, x = 12/2
or, x = 6
and for y
y = (y2+y1)/2
or, y = (3+0)/2
or, y = 3/2
therefore M(x,y) = (6,3/2)
B. solution
let,
C(0,4) = (x1,y1)
B(5,3) = (x2,y2)
equation of line is ;
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
or, (y - 4)/(x -0) = (3 - 4)/(5 - 0)
or, (y - 4)/(x - 0) = -1 / 5
by cross multiply
or, 5×(y - 4) = -1×(x)
or, 5y - 20 = -x
or, x + 5y = 20 is the required equation.
50 POINTS
If you are going 60 mph, how many miles will you go in 45 minutes?
Answer:
You would go 45 miles.
Step-by-Step Explanation:
If you are going 60 mph you would be going 1 mile per minute
URGENT! PLEASE HELP ME!
Martin had read 70% of a book. He has 3 more pages to finish. How many pages are there in the book?
Answer:
15
Step-by-step explanation:
15x3=70
Answer:
5.1 pages
Step-by-step explanation:
70% of 3 is 2.1 and 2.1 + 3 = 5.1
What is m∠N?
A. 19°
B. 68°
C. 95°
D. 112°
Answer:
B.68.......................
Ana uses Talk-A-Lot and Peter uses Talk-to-Me. Each company charges
the same amount per hour of talk time, however Ana and Peter will never
be charged the same amount. Write a system of equations that could
represent the situation. Explain.
Answer:
They both talk for a different amount of time
On Thursday, a local hamburger shop sold a combined total of 417 hamburgers and cheeseburgers. The
number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were
sold on Thursday?
Let H represent Hamburgers.
Let cheeseburgers represent 2H .
H + 2H = 417
3H = 417
H = 417/3
H = 139 hamburgers
2H = 2 * 139 = 278 cheeseburgers
Therefore, there were 139 hamburgers sold on Thursday.
HELP HELP HELP POINTS GIVEN POINTS GIVENN
All except for the leg
In a standard deck of cards, what is the probability of drawing a card with the suit of clubs?
Answer (round) to the hundredth place value.
Answer:
[tex]\frac{1}{4}[/tex]
= 0.25
Step-by-step explanation:
In a standard deck of cards, there are 52 cards. The standard deck of cards also has 13 clubs. Probability is;
[tex]\frac{wanted- outcomes}{total- outcomes}[/tex]
The wanted outcomes is a clubs, the total outcomes are the total number of cards in the deck, hence;
[tex]\frac{13}{52}[/tex]
Simplify;
[tex]\frac{1}{4}[/tex]
In ΔUVW, u = 8.1 cm, v = 8.4 cm and ∠W=102°. Find the length of w, to the nearest 10th of a centimeter.
Answer:12.8
Step-by-step explanation:
Below are a picture of parallel railroad tracks intersecting the parallel edges of a road.
Find x
factorise x^3 - 5x
please help, would be greatful
The vertical jump record at Teresa's school is 23 inches. On Field Day
Teresa jumped 2 feet 3 inches. Did Teresa break the record?
Answer:
yes
Step-by-step explanation:
two feet is 24 inches plus 3 = 27 inches
x + 4 =7
Solve the equation for the value of the variable show all work someone please help
Answer:
x = 3
Step-by-step explanation:
x + 4 = 7 ( isolate x by subtracting 4 from both sides )
x = 3
Which of the following functions best describes this graph?
A. y = (x - 3)(x + 1)
B. y = x - x +5
C. y = x? -5x + 6
D. y = (x - 1)(x - 1)
Answer: D: Y=(x-1)(x-1)
Step-by-step explanation:
The function described by the graph is [tex](x-1)^2[/tex].
Therefore, the correct answer is Option D. y = ( x - 1 ) ( x - 1 )
Given data:
The function is represented as f(x) = y
Now, the value of f(x) is plotted below:
To plot the graph, start by determining some key points and then connecting them.
When x = 0:
f(0) = 1
So, the point is (0, 1).
When x = 1:
f(1) = 0
So, the point is (1, 0).
When x = 2:
f(2) = 1
So, the point is (2, 1).
The graph of [tex]f(x) = (x - 1)^2[/tex] is a parabola that opens upwards. The vertex of the parabola is at the point (1, 0), which corresponds to the minimum value of the function.
As x moves further away from 1 in either direction, the function increases.
Hence, the parabolic function is [tex]f(x) = (x - 1)^2[/tex].
To learn more about parabola, refer:
https://brainly.com/question/24042022
#SPJ7
Please help me out with this one, I don't know how to do this one
Answer:
3/14 or about 21%
Step-by-step explanation:
Just divide the number of black cars by the total number of cars.
15/70 = 3/14