Answers
Step-by-step explanation:
For the cubic function to be an increasing function, dy/dx > 0 for all real values of x.
dy/dx
= d/dx [4x³ + 4px² + 16x - 9]
= 12x² + 8px + 16.
We have 12x² + 8px + 16 > 0.
=> 3x² + 2px + 4 > 0,
where a = 3, b = 2p and c = 4.
For the quadratic function to have a range that is always positive, the discriminant must be less than 0.
(in order to have no real roots)
We have b² - 4ac < 0.
=> (2p)² - 4(3)(4) < 0
=> 4p² - 48 < 0
=> p² - 12 < 0
=> p² < 12
=> -√12 < p < √12
=> -2√3 < p < 2√3.
That was a very long process but hopefully you understand all of it!
Related Questions
PLEASE HELP I WILL HAVE TO DO MATH AGAIN IF I DONT GET THIS RIGHT PLEASE HELP
Answers
Answer:
9
Step-by-step explanation:
Su restaurante: "Hola hijo, este sábado tenemos que hacer las compras de la semana. Nuestro presupuesto es S/ 400 y acordamos distribuirlos así con tu mamá: 25 % en verduras, 15 % en lácteos, 30 % en menestras, 20 % en frutas y el resto en artículos de limpieza. ¿Podrías ayudarnos diciéndonos cuánto dinero utilizaremos para cada cosa? 1
Answers
Answer:
Verduras= $100
Lacteos= $60
Menestras= $120
Frutas y verduras= $80
Limpieza= $40
Step-by-step explanation:
Presupuesto= $400
Primero determinamos la proporción a gastar en cada rubro:
Verduras= 0.25
Lacteos= 0.15
Menestras= 0.3
Frutas y verduras= 0.2
Total= 0.9
Limpieza= (1 - 0.9) = 0.1
Ahora, la cantidad de dinero:
Verduras= 0.25*400= $100
Lacteos= 0.15*400= $60
Menestras= 0.3*400= $120
Frutas y verduras= 0.2*400= $80
Limpieza= 0.1*400= $40
Total= $400
Electricity Bill Charges
First 200 units 22p per unit
Remaining units 15p per unit
Mr Powers checks his electricity bill.
Here are his meter readings.
New reading:
Old reading
6538 units
6245 units
a)
Use subtraction to calculate the number of units used.
b)
Calculate the cost of the number of units used.
Answers
Answer:
a) 293 units
b) £57.95
Step-by-step explanation:
a)
New reading: 6538 units
Old reading : 6245 units
The amount use is the difference between the two readings.
6538 - 6245 = 293
Answer: 293 units
b)
293 is the same as 200 units plus another 93 units.
The first 200 units are charged at 22p per unit
Cost of the first 200 units: 200 units * 22p/unit = 4400p
Remaining units are charged at 15p per unit
Cost of the additional 93 units: 93 units * 15p/unit = 1395p
Total charge: 4400p + 1395p = 5795p = £57.95
Answer: £57.95
I need help please and thank you !
Answers
Answer:
π(12x^3y^5z)^2
Step-by-step explanation:
I doubt your teacher would want you to evaluate the whole thing but if they do leave a comment
Jan 258:00:56 AM
Watch help video
Write the equation of the line that passes thought the points (0,4) and (-9, -3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:
The equation of the straight line in point-slope form
[tex]y - 4 = \frac{7}{9} (x-0)[/tex]
The equation of the straight line
7x -9y +36 =0
Step-by-step explanation:
Step(i):-
Given that the points (0,4) and (-9,-3)
The slope of the line
[tex]m = \frac{y_{2} - y_{1} }{x_{2}- x_{1} } = \frac{-3-4}{-9-0} = \frac{7}{9}[/tex]
Step(ii):-
Equation of the straight line passing through the point (0,4) and having slope m = 7/9
[tex]y - y_{1} = m (x-x_{1} )[/tex]
[tex]y - 4 = \frac{7}{9} (x-0)[/tex]
9 y - 36 = 7x
9y = 7x + 36
[tex]y = \frac{7x}{9} +\frac{36}{9}[/tex]
Slope - intercept form
[tex]y = \frac{7x}{9} +4[/tex]
Final answer:-
The equation of the straight line in point-slope form
[tex]y - 4 = \frac{7}{9} (x-0)[/tex]
The equation of the straight line
7x -9y +36 =0
The base of a rectangular pyramid has a length of 4 feet and a width of 3 feet. The height of the pyramid is 6 feet. Find the volume of the pyramid.
Answers
Answer:
24
Step-by-step explanation:
volume of the pyramid=length*width* height*1/3
PLS HELP
what is the slope of the line that contains these points
x 15,17,19,21
————————-
y -10,2,14,26
Answers
Answer:
6
Step-by-step explanation:
(15 , -10) (17 , 2)
slope (m) = rise/run = (2 - -10) / (17 - 15) = 12/2 = 6
2-(-10), or 2+10 since you’re subtracting a negative and they cancel out is equal to 12. Now take your two x points, 15 and 17. 17-15 is equal to 2. Take 12 and divide it by the 2, which is then 6. Hope this helps.
5. An airplane takes 4 hr to travel a distance of 4100 km. Another airplane travels at a speed
which is 200 km/hr less than first airplane. How long will it take to travel the same distance by
the second airplane?
Answers
Answer:
4.969696 hours
Step-by-step explanation:
The distance traveled is shown through the following equations
Distance = velocity * time
This means that
4100=velocity*4
This means that ariplane 1 travles at 1025 km/hr
We can then subtract 200 from this to find that airplane two travels at a speed of 825 km/hr
Now we need to find how long it takes for that plane to travel 4100
So using the same equation
4100=825*time
Divison will tell us that the answer is around 4.9696 hours which is pretty much 5
Amber has been working very hard and finally got a salary increase of 100%. She was earning $200 per week. How much is she earning now? *
Answers
Answer:
$400
Step-by-step explanation:
Given that:
Earnings per week for Amber = $200
Total increase in the salary as per Amber's hard work = 100%
To find:
Earnings of Amber now?
Solution:
We are given the initial salary and its percentage increase.
We have to find the increased value of salary.
Increase in the salary = 100% of $200
[tex]\Rightarrow \dfrac{100}{100}\times \$200\\\Rightarrow \bold{\$200}[/tex]
Amber's Current salary = Initial salary + Increase in the salary
Putting the values of the initial salary and increase in the salary:
Amber's Current salary = $200 + $200 = $400
*100 POINTS*
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answers
Answer:
y = -2x - 4
Step-by-step explanation:
In order to write down the equation of this line in slope-intercept form we will need to know the slope and the y intercept. Since the y intercept is the value of y when x = 0, from this we know that in our case the y intercept is - 4. Now in order of find the slope we can choose any two points on the linear function and then divide the rise by the run of the slope (if you want to understand this more you can read about how to find the slope). In our case I took two points (-2, 0) and (0, -4). Form here we know that the slope is....
Let "m" be the slope...
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1} }= \frac{-4 - 0}{0 + 2} = \frac{-4}{2} = -2[/tex]
We know that the slope-intercept looks like y = mx + b (where m is the slope and b is the intercept) so since we know both the slope and the y interest we can conclude the following.
The equation of the linear function show is y = -2x - 4
PLZZ HELP FOR BRAINLIEST
What is the y-intercept of the graph?
Answers
Answer:
-5
Step-by-step explanation:
What is the solution?
Group of answer choices
(0,20
No Solution
(0,-2)
(1,0)
Answers
2x + 4y = 24
if y = -3
then x = ____?
Answers
Answer:
x = 18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
2x + 4y = 24
y = -3
Step 2: Solve for x
Substitute in y: 2x + 4(-3) = 24Multiply: 2x - 12 = 24Isolate x term: 2x = 36Isolate x: x = 18Write and solve an inequality that represents the number of apples, x, you can buy if each apple costs .75 cents and you have to spend less than $9.
Answers
Answer:
0.75x<9
Step-by-step explanation:
0.75x<9
0.75/0.75x < 9/0.75
x<12
which is better Financial manager or accountant?
Answers
Answer:
Financial manager sounds more professional.
Step-by-step explanation:
Diego is solving the equation x2 – 12x = 21
Which value must be added to both sides of the equation to make the left side a perfect -square trinomial?
A
36
B
32
с
144
D
4
Answers
Answer:
[tex]36[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 12x = 21[/tex]
Required
Make a perfect square
First, get the coefficient (k) of x
[tex]k = -12[/tex]
Divide by 2
[tex]\frac{k}{2} = \frac{-12}{2}[/tex]
[tex]\frac{k}{2} = -6[/tex]
Square this result:
[tex](\frac{k}{2})^2 = (-6)^2[/tex]
[tex](\frac{k}{2})^2 = 36[/tex]
Hence, 36 when added to the left-hand side makes it a perfect square trinomial
Find the probability P(E or F) if E and F are mutually exclusive, P(E)=0.41 and P(F) = 0.47
P(E or F) =
Answers
Answer:
P(E or F)=P(E)+P(F)=0.41+0.47=0.88
As per the probability of an event, the probability P(E or F) is 0.88, when E and F are mutually exclusive.
What is probability of an event?"Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes how likely they are.
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. "
Given, the probability of the event E is P(E) = 0.41
The probability of the event F is P(F) = 0.47
Now, the probability P(E or F) is
= P(E) + P(F)
= 0.41 + 0.47
= 0.88
Therefore, P(E or F) = 0.88
Learn more about the probability of an event here: https://brainly.com/question/13974679
#SPJ2
Given that f(x) = x2 – 14x + 45 and g(x) = 2 – 9, find f(x) – g(x) and
express the result in standard form?
Answers
Answer:
x2-14x+52 is the answer in my calculation.
PLEASE HELP ILLL DO ANYTHJNG ITS MY LAST QUESTION PLS HELP!!
Answers
Answer: dont know im lost
Step-by-step explanation:
Answer:
y = 2x - 3
Step-by-step explanation:
We first need to find y, which is the slope of the line, in this case is 2/1 or 2. b is the y-intercept, or where the line crosses they y-axis, which here is -3. Now you have y = 2x - 3.
A triangle has side lengths of n, n – 3, and 2(n − 2). If the perimeter of the triangle is at least 37 units, what is the value of n?
OA.
n> 11
OB
n> 8
O C.
n > 10.5
OD
n > 7.5
Answers
Answer:
n = 11
Step-by-step explanation:
The side length of a triangle are n,n-3 and 2(n-2).
The perimeter of the triangle, P = 37 units
We need to find the value of n.
Perimeter = sum of all sides
n+n-3 +2(n-2) = 37
2n-3+2n-4 = 37
4n -7 = 37
4n = 37+7
4n = 44
n = 11
So, the value of n is 11.
To have the same volume, figures must have the same: (select all that apply)
O base area
O length
O height
O base shape
Answers
Answer:
Height and Base Area
Step-by-step explanation:
If two space figures have the same height and the same cross-sectional area at every level, then they have the same volume
- Cavaleri's Principle
what is 1,005 x 105 i need help please
Answers
Answer:
105525
Step-by-step explanation:
Answer:
1,005 x 105 = 105,525
Hope this helped! Have a great weekend.
20 points!
I need help!
I will also be doing a 50 point giveaway later!
Answers
Answer:
Step-by-step explanation:
6x + 3y = 12 solve for y
Answers
Answer:
Y= -2x+4
Step-by-step explanation:
Put it in slope intercept form
y=mx+b
Now subtract 6x on both sides to get y isolated
3y=12-6x
Now divide 3 on both sides to get y by itself
y=4-2x
Now in slope intercept form is
y= -2x+4
what angles are adjacent
Answers
Answer:
2 and 6
Step-by-step explanation:
Adjacent angles require a common vertex, side, and the interiors don't overlap.
Two step equations
HURRY PLEASE!!!!!!!!!!!!!!!!!!!
Raj paid a total of $155 to purchase 5 books from a book club. Each book cost the same amount. The total cost included a shipping and handling fee of $15. What was the price of each book?
Answers
28 each book 155-15=140 and then 140÷5=28
Hi
Can you check my answer please
Answers
Answer:
That is correct!
Step-by-step explanation:
Hope i could help!!!!!!!!
A package of 8 batteries costs $ 4.72 .What is the cost per battery?
Answers
Answer:
The cost of each battery is .59
Step-by-step explanation:
Divide 4.72 by 8 to get the answer
Answer:
$0.59
Step-by-step explanation:
$4.72 is the total cost of 8 batteries.
So, $4.72 ÷ 8 = $0.59
PLEASE ANSWER TODAY ASAP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
A rectangle is 18 meters long and 25 meters wide.
What is the area of the rectangle?
1/40 m²
1/20 m²
/220 m²
5/16 m²
Answers
To find out the area of a rectangle, you multiply the length by the width.
18 x 25 = 250
Answer: 450 m²
Answer:
18 x 25 = 250
Answer: 450 m²
Step-by-step explanation:
Jev doesn't know you I am sorry...
What information could you use to solve the word problem below? Check all that apply.
Answers
Answer:
I am not sure but I think the '' D'' answer is correct