Answer:
Maximum Value: ∞
General Formulas and Concepts:
Calculus
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
f(x) = 3x² + x³
Step 2: Find Derivative
Basic Power Rule: f'(x) = 2 · 3x²⁻¹ + 3 · x³⁻¹Simplify: f'(x) = 6x + 3x²Step 3: Analyze
We see that our derivative is the graph of some sort of parabola. The parabola would be opening upwards.
Therefore, the maximum value of the derivative would be ∞, as the parabola's output y infinitely increases.
24 hour fitness charges $250 as a registration fee and $15 per month. How much would you pay to be a member of 24 hour fitness for a year?
Answer:
430 dollars per year
Step-by-step explanation:
The formula to use is...
C=250+15x
C is the cost per year
250 is the flat fee
15 is the cost per month
x is the number of months
Shondra is counting the money in the cash register at the end of her shift. All that is left to count are $5 bills and $10 bills. There are 32 bills in the stack and they are worth $220. How many of each denomination did she have?
Let x represent the number of $5 bills and let y represent the number of $10 bills.
Choose the 2 equations that would best represent this scenario and select the correct solution from the drop down list. You will select 3 answers in total.
Answer and Step-by-step explanation: x represent the number of $5 bills and y, the number of $10 bill and, in total there are 32 bills, so
x + y = 32
In terms of value, there is a total of $220. The equation for it is
5x + 10y = 220
The 2 equations which best represent the scenario are
x + y = 32 (I)
5x + 10y = 220 (II)
To know how many bills there are, we have to solve the system. There are many way to solve it and one of them is
1) Multiply (I) by -5:
-5x - 5y = -160 (III)
2) Add equation (III) to equation (II):
-5x - 5y = -160
5x + 10y = 220
0x + 5y = 60 (IV)
3) Solve equation (IV)
5y = 60
y = 12
4) Replace value of y in equation (I) and find value of x:
x + 12 = 32
x = 20
In the proposed scenario, Shondra had 20 $5 bills and 12 $10 bills.
Answer: x=20 and y=12
Step-by-step explanation:
Rita feeds her dog 2/5 pounds of dog food for each meal Rita has just bought 10 punds of dog food. for how many meals will this food last
Answer:
25 meals
Step-by-step explanation:
If Rita feeds her dog 2/5 pounds of dog food for each meal, this means;
2/5 pounds = 1 meal
To get the number of meals she will feed if she buys 10 pounds, we will say;
10 pounds = x meals
Divide both equations to get x;
(2/5)/10 = 1/x
Cross multiply;
2/5 x = 10 * 1
2x/5 = 10
2x = 50
x = 50/2
x = 25
Hence the 10pounds food will last 25 meals
PLS HELP ME ASAP I DONT HAVE TIME IT ALSO DETECTS IF ITS RIGHT OR WRONG
Answer:
5 hours
Step-by-step explanation:
Let x represent the amount of hours that ralph can do.
Let y represent the money he earned.
Let m represent how much he earns per hour.
Let b represent the initial fee
y=mx+b
y=33x + 24
189=33x+24
Solve for x:
189=33x+24
165 = 33x
x=5
Anely and Sandra get paid per project. Anely is paid a project fee of $40 plus $11.50 per hour. Brenda is paid a project fee of $28 plus $16.75 per hour. Write an expression to represent how much a company will pay to hire both.
( ) + ( )=
Answer:
$68 to hire and 28.25 per hour to hire both
Step-by-step explanation:
The 6 students
10,8,14,7,13,12. Find the mean and median round to the nearest tenth
Answer:
median is 10 or 12 and the mean is 10.6
Step-by-step explanation:
7, 8, 10, 12, 13, 14
Some doctors recommend that men drink 3 liters of water every day. There are approximately 29.6 milliliters in 1 fluid ounce. Which measurement is closest to the number of fluid ounces in 3 liters?
F.101 fl oz
G.33 fl oz
H.10 fl oz
J.89 fl oz
Answer:
G.
Step-by-step explanation:
Question 6
1 pts
Verizon charges a $100 initial contract fee, then $70 a month for a basic cell
phone plan. What is the slope (rate of change)?
Answer:
Slope is rate of change, so define your values.
-$100 is the initial fee
-$70 is charged per month
per month is the constant rate of change
70 is the slope
The slope (rate of change) of the function is 70.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given:
Verizon charges a $100 initial contract fee,
then $70 a month for a basic cell phone plan.
Let the x be the number of months.
So, the equation,
y = 70x + 100
By comparing with the slope-intercept form,
y = mx + b, where m is the slope.
So, m = 70.
Therefore, 70 is the slope.
To learn more about the slope;
brainly.com/question/3605446
#SPJ2
What is 16 percent of 4?
Answer:
0.64
Step-by-step explanation:
% besically means out of 100 so:
16/100 times 4
64/100
0.64
pls help :( i’ll give brainliest
Answer:
x=12; Converse of conrresponding angles postulate
Step-by-step explanation:
On parrallel lines the corresponding angles are equal. To find x we can set up the equation up like this:
8x-17=5x+19
Solve
X=12
The converse used was the Converse of Corresponding Angles Postulate
Cuantos minutos hay en 4 horas
Answer:
240
Step-by-step explanation:
Answer:
240 minutos.
Step-by-step explanation:
How many minutes are in 4 hours. Multiply 60 by 4. 60x4=240 minutes.
how to write y-2=-1/3 (x+6) in standard form and why PLZ HELP
[tex]y-2=-\frac{1}{3}(x+6)\\y=-\frac{1}{3}(x+6)+2[/tex]
Simply move -2 to another side.
[tex]y=-\frac{x}{3}-2+2[/tex]
Distribute -1/3 in (x+6)
[tex]y=-\frac{x}{3}[/tex] ---> Answer
Answer:
x + 3y = 0
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y - 2 = - [tex]\frac{1}{3}[/tex] (x + 6) ← distribute
y - 2 = - [tex]\frac{1}{3}[/tex] x - 2 ( add 2 to both sides )
y = - [tex]\frac{1}{3}[/tex] x ( multiply through by 3 to clear the fraction )
3y = - x ( add x to both sides )
x + 3y = 0 ← in standard form
pls help me solve this
Answer:
x=10
Step-by-step explanation:
Because BC is a mid segment
Answer:
10
Step-by-step explanation:
These are similar triangles, which means that the ratio between 16 to 8 will equal x+10 to x. This could be written out as 16/8 = x+10/x. 16/8 is 2, which means that x+10 is twice the amount of x. We can write this out as 2x = x+10. We can then simplify this and get x = 10
I’m using the rest of my points please help! I’m so lost and my math teach never explained it and would only talk about politics
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Answer:
The translation 3 units down and 5 units to the left
Step-by-step explanation:
Graph of |x| is the one starting in the origin and the other one is the other picture
11. What is the range of values of x for a triangle's third side given side measures
of 8 and 15 for the other two sides?
A) Between 8 and 15
B) Between 7 and 23
C) Less than 7, greater than 23
D) Between 8 and 23
Answer:
B
Step-by-step explanation:
:-)
Answer:
between 7 and 23
Step-by-step explanation:
Find the value of each angle.
Answer:
1)112°
2)68°
3)90°
4)90°
5)22°
6)158°
Step-by-step explanation:
Answer:
1. 112º
2. 68º
3. 90º
4. 90º
5. 22º
6. 158º
Step-by-step explanation:
4 - vertical angle to 90º
3 - supplementary to 90º, 180º - 90º = 90º
2 - vertical angle to 68º
1 - supplementary to 68º
5 - all angles in a triangle add up to 180, 180º - 90º - 68º = 22º
6 - supplementary to 22º
Please help will mark the brainliest
Answer:
y=-x-2 this is the answer
у = 4х – 1
у = 2х – 5
How do you solve this, by using substitution?!
Answer:
x = -2, y = -9
Step-by-step explanation:
You can substitute the value of y into y. The first equation shows that y is equal to 4x -1, so we can switch this with the y in the second equation.
y = 2x -5 will become
4x - 1 = 2x - 5
Add 5 to both sides
4x + 4 = 2x
Subtract 4x from both sides
4 = -2x
Divide both sides by -2
-2 = x
Now we plug this number into an equation to find y.
y = 4x - 1 becomes
y = 4(-2) - 1
Simplifying it, we have:
y = -8 - 1
y = -9
Sarah purchased 2 pounds of cheese for $8.00. Arun purchased ½ pound of cheese for $2.50. How much more does Arun pay per pound of cheese?
Answer:
$1 more per pound
Step-by-step explanation:
Sarah: 8/2= $4
Arun: 2.5*2 = 5
Arun pays $1 more per pound of cheese than Sarah
Answer:
2.50x2=5
Step-by-step explanation:
2.0+2.0=4
.50+.50=1
4+1=5
1/4 of the original price is marked down if the sales price is 128.00 what is the original price DONT not round your answer to the nearest hundredth
Answer:
Ipguifiyfohvlbouviyfiyfyivojviyc itcitditcyivuy if it go
Solve this inequality for X.
81 – 11: < 55
OA. 1 > 21
I < 113
OB.
Ос.
3
OD.
I< -21
Answer:
infinity
pick any answer, its a trick question, it says, SOLVE INEAQUALY
A bag contains 4 red marbles and 6 blue marbles. Brandon selects one marble from the bag. Without replacing the marble he then
selects a second marble. What is the probability he selects a red marble given that he first selects a blue marble?
A)1/5
B)2/5
C3/5
D)4/15
HELP ASAP ILL GIVE BRAINLIEST
for geometry help thanks <33
Answer:
12
Step-by-step explanation:
On,Saturday, Alexa babysat her neighbors kids for 180 minutes. Then, on Sunday she babysat her little brother for 2 hours.how many hours did she babysit on Saturday and Sunday .
Answer:
5 hours
Step-by-step explanation:
To change minutes to hours you will have to divide the total minutes by 60 (because 60 minutes is in one hour), in this situation it would look like this:
180/60 = 3
So, Alexa babysat for 3 hours on Saturday.
Now, just add the 3 hours from Saturday and 2 hours from Sunday and you get a total of 5 hours!
I hope this helps!!
- Kay :)
In an equation, y varies directly as x varies. If y = 72 when x = 12 what is the value of x when y = 48?
Answer:
8
Step-by-step explanation:
y=kx where k is a constant.
72=12k
k=72/12=6
y=6x
48=6x
x=48/6=8
Which number line represents the solution set for the inequality -1/2x>4
Answer: D
Step-by-step explanation: D because if your turn 1/2 into a decimal point it 0.5 (don't forgot to add the negative) and so i then divided -0.5 from x and just got x then you have to do the same for the other side. So i took 4 and divided it by -0.5 and got -8 to the expression would be x is greater then or equal to -8. you plot the dot at -8 and the line goes in front of it because it is lesser or equal to x (remember you reverse the problem if you say it back words so don't get confused), but after my long explanation just pick D
Jonah earns $12.50 per hour as a marketing intern.
If he works for 4.5 hours, how many dollars does he
earn?
8
8.2
9
56.25
Answer:
its D/ 56.25
Step-by-step explanation:
because the other numbers are too small
The milligrams of aspirin in a person's body is given by the equation a = 500 x (3/4)^t , where is the number of hours since the patient took the medicine. In the equation, what does the 500 tell us about the situation?
Answer:
m=y8+2x
Step-by-step explanation:
NEED HELP ASAP ILL GIVE BRAINLIST
Each time he read his book, Paul recorded the number of minutes he spent reading and the number of pages he read in that time. He graphed this information, and decided that number of pages and time are related proportionally. Which graph is most likely the graph of his information?
Answer: the first one. the graph is right side up.
Answer:
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Step-by-step explanation:
HEELLLPPP ILL GIVE BRAINLIEST
A tree casts a shadow 24ft long. A 6ft man casts a shadow 8ft long. The triangle formed by the tree and its shadow is similar to the triangle formed by the man and his shadow. How tall is the tree?
Answer:
The answer would be 18 ft tall