Answers
Mark brainliest if satisfied
Answer:
First Option {-2 , 0 , 2}
Step-by-step explanation:
A critical point occurs when the derivative is 0 or undefined.
The function in the question is undefined at x = 2 and at x = -2 because if we put x = 2 or x = -2 the denominator becomes 0 hence anything divided by 0 is undefined, and the derivative equals 0 at x = 0 so the critical points are
{-2 , 0 , 2}
Use the quotient rule to find the derivative of the function then equal it to zero
[tex]y=\frac{x^2-1}{x^2-4}\\\\\frac{dy}{dx}=\frac{(x^2-4)(2x)-(x^2-1)(2x)}{(x^2-4)^2}\\\\0=\frac{(x^2-4)(2x)-(x^2-1)(2x)}{(x^2-4)^2}\\\\0=2x^3-8x-2x^3+2x\\0=-6x\\x=0[/tex]
Related Questions
Sarah and her friends ordered a pizza. Sarah ate 5 1 of the pizza. Her friend John ate 20% and her friend Jules ate half of the pizza. How much pizza is left over?
Answers
Given:
Sarah ate [tex]\dfrac{1}{5}[/tex] of the pizza.
Her friend John ate 20%.
Her friend Jules ate half of the pizza.
To find:
The remaining part of the pizza.
Solution:
We have,
Sarah ate = [tex]\dfrac{1}{5}[/tex] of the pizza.
John ate = [tex]20\%[/tex] of the pizza.
= [tex]\dfrac{20}{100}[/tex] of the pizza.
= [tex]\dfrac{1}{5}[/tex] of the pizza.
Jules ate = [tex]\dfrac{1}{2}[/tex] of the pizza.
Total part of a pizza they ate = [tex]\dfrac{1}{5}+\dfrac{1}{5}+\dfrac{1}{2}[/tex]
= [tex]\dfrac{2+2+5}{10}[/tex]
= [tex]\dfrac{9}{10}[/tex] of the pizza.
Now, the remaining pizza is
Remaining pizza = 1 - Total part of a pizza they ate
= [tex]1-\dfrac{9}{10}[/tex] of the pizza.
= [tex]\dfrac{10-9}{10}[/tex] of the pizza.
= [tex]\dfrac{1}{10}[/tex] of the pizza.
Therefore, the remaining pizza is [tex]\dfrac{1}{10}[/tex] of the pizza.
What is the solution to the equation -6x + 9 – 4x = 14?
Answers
[tex] - 6x + 9 - 4x = 14 \\ - 6x - 4x = 14 - 9 \\ - 10x = 5 \\ x = \frac{5}{ - 10} \\ x = - \frac{1}{2} \\ x = - 0.5[/tex]
 Can someone pleaseeee help if you’re correct I’ll give u brainlist
Answers
Answer:
p=65
Step-by-step explanation:
180-50=130
130/2=65
A school basketball team has an expense account and a fundraising account. After t weeks, the balance of the expense account is (450−70t) dollars and the balance of the fundraising account is (275+48t) dollars.
a. Write an expression in simplest form that represents the total amount (in dollars) in both accounts after t weeks.
Answers
Answer: 707$ because
Step-by-step explanation: if you do the math you can only get this number the wrong and right way
If y = 80 when x = 32, find x when y = 100.
Answers
Answer:
when y=80 the value of x is 32 and when y=100 what is the value of x so Criss cross 80=32
and 100= x so the answer will be 32*100 divided by 80 is equal to 40 I guess it's 40 the value of x is 40 in my guess
When 17 is divided by K ; where k is a positive integer less than 17 the remainder is 3 .What is the remainder when the sum of the beta possible values of Kivided by 17.
Answers
Answer:
The remainder is 4.
Step-by-step explanation:
Note: This question is not correctly stated. It is therefore correctly restated before answering the question as follows:
When 17 is divided by k; where k is a positive integer less than 17, the remainder is 3. What is the remainder when the sum of the possible values of k is divided by 17?
The explanation of the answer is now given as follows:
Since k < 17, it implies that the possible values of k must be from between 1 and 16 inclusive.
Between 1 and 16, only 7 or 14 will give a remainder of 3 when either of them is used to divide 17. Therefore, 7 and 14 are the possible values of k.
Therefore, we have:
Sum of the possible values of k = 7 + 14 = 21
Also, we have:
Sum of the possible values of k divided by 17 = 21 / 17 = 1 with a remainder of 4.
Therefore, the remainder is 4 when the sum of the possible values of k is divided by 17.
My equation equals 180. With the 3 variables missing
Answers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, and it needs additional information before it can be answered.
However, a possible question could be that we generate an equation that has 3 variables and equals 180.
A possible question is:
The sum of three consecutive numbers is 180. What is the highest number?
And the solution is as follows:
Let the three numbers (in order of smallest to greatest) be x, y and z
So, the sum is:
[tex]x + y + z = 180[/tex]
Since the numbers are consecutive, then the following relationship exist:
[tex]y = x + 1[/tex]
[tex]x = x + 2[/tex]
Substitute x + 1 for y and x + 2 for z in [tex]x + y + z = 180[/tex]
[tex]x + x + 1 + x + 2 = 180[/tex]
Collect Like Terms
[tex]x + x + x = 180 - 3[/tex]
[tex]3x = 177[/tex]
Solve for x
[tex]x = 177/3[/tex]
[tex]x = 59[/tex]
The value of the highest being is:
[tex]z = x + 2[/tex]
[tex]z = 59 + 2[/tex]
[tex]z = 61[/tex]
You can generate as many equation as possible
A cube has a side length of 6 cm. What is the volume of the cube, in cubic centimeters
Answers
Answer:
V=216cm³
Step-by-step explanation:
V=216cm³
Pls help
y = 2x + 2
4x - y = -6
Answers
Answer:
x = - 2, y = - 2
Step-by-step explanation:
Given the 2 equations
y = 2x + 2 → (1)
4x - y = - 6 → (2)
Substitute y = 2x + 2 into (2)
4x - (2x + 2) = - 6 ← distribute and simplify left side
4x - 2x - 2 = - 6
2x - 2 = - 6 ( add 2 to both sides )
2x = - 4 ( divide both sides by 2 )
x = - 2
Substitute x = - 2 into (1) and evaluate for y
y = 2(- 2) + 2 = - 4 + 2 = - 2
solution is x = - 2, y = - 2
You decide to market your own custom computer software. You must invest $3,255 for computer hardware, and spend $2.90 to buy and package each disk. If each program sells for $13.75, write a system of equations and determine how many disks you must sell to break even.
Answers
Answer:
13.75x = 3,255 + 2.90x
Step-by-step explanation:
Given that,
Amount invested on computer hardware = $3,255
Amount invested to buy and package each disk = $2.90
Selling price for each program = $13.75
We need to find the equation that is used to find how many disks you must sell to break even. Let there are n disks that you must sell.
ATQ,
$3,255 is a fixed amount. $2.90 and $13.75 depends on x.
So,
13.75x = 3,255 + 2.90x
We can solve the above equation to find the no. of disks.
13.75x - 2.90x = 3255
10.85x = 3255
x = 300
Hence, you must sell 300 disks to break even.
combine the like terms to make a simplified expression: -2w - 5w
I really suck at these types of math im sorry
Answers
Answer:
-7w
Step-by-step explanation:
-2w - 5w are like terms because they both have "w"
-2 - 5 = -7
A company loses $5,400 as the result of a manufacturing defect. Each of the 8 owners have agreed to contribute an equal amount, x, to help pay for the losses.
Part A
Which expression shows the total loss after the owners contribute some money?
Answers
Answer:
x=$5400:8
$5400:8x = total loss after the owners contribution
The expression shows the total loss after the owners contribute some money is 8x = 5400
Equation
An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the amount contributed by each owner as loss.
Since there are 8 owners sharing a loss of $5400, hence:
8x = 5400
x = 675
The expression shows the total loss after the owners contribute some money is 8x = 5400
Find out more on equation at: https://brainly.com/question/13763238
Find the solution of the system of equations.
- 7x – 4y = -44
7x - 3y = 16
Answers
Answer:
{x,y} = {5,8}
Step-by-step explanation:
[1] 7x-3y+5=16
[2] 4y=3x+17
[1] 7x - 3y = 11
[2] -3x + 4y = 17
// Solve equation [2] for the variable y
[2] 4y = 3x + 17
[2] y = 3x/4 + 17/4
// Plug this in for variable y in equation [1]
[1] 7x - 3•(3x/4+17/4) = 11
[1] 19x/4 = 95/4
[1] 19x = 95
// Solve equation [1] for the variable x
[1] 19x = 95
[1] x = 5
// By now we know this much :
x = 5
y = 3x/4+17/4
// Use the x value to solve for y
y = (3/4)(5)+17/4 = 8
The machine that Holley operates tightens 40 bolts every 3 minutes. The bolts are delivered to her machine station in boxes containing 1,000 bolts each. Which equation can be used to determine t, the number of minutes it takes Holley's machine to tighten a box of 1,000 bolts at the same tightening rate?
Answers
Answer:
75
Step-by-step explanation:
Choose the number sentence whose product is 5.85.
A. 1.7 x 3.5
B. 26 x 2.25
C. 4.5 x 2.3
D. 1.3 x 4.5
Answers
Answer:
D
1.3 times 4.5 is 5.85
Answer:
D
Step-by-step explanation:
BRAINLYEST please
In the worlds coolest freezer sodium gas was cool to temperature of 78.5 below zero and then called 194.65 more what was the new temperature of the sodium gas
Answers
Answer:
[tex]-273.15^{\circ}\text{C}[/tex]
Step-by-step explanation:
[tex]T_i[/tex] = Initial temperature of sodium gas = [tex]-78.5^{\circ}\text{C}[/tex]
[tex]\Delta T[/tex] = Change in temperature of sodium gas = [tex]-194.65^{\circ}\text{C}[/tex]
[tex]T_f[/tex] = Final temperature of sodium gas
Change in temperature of gas is given by
[tex]\Delta T=T_f-T_i\\\Rightarrow T_f=\Delta T+T_i\\\Rightarrow T_f=-194.65+(-78.5)\\\Rightarrow \Delta T=-273.15^{\circ}\text{C}[/tex]
The new temperature of sodium gas is [tex]-273.15^{\circ}\text{C}[/tex].
can you help me please?
Answers
Answer:
it is a it the first one. 7/13
Answer:
A.
Step-by-step explanation:
The bottom number is the same so leave then and just add the top.
Makes 7/13
What is the length of AC?
A. Square root of 2
B. Square root of 5
C. 3
D. 5
Answers
Answer:
B. √5 units
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point A (-3, 2)
Point C (-1, 3)
Step 2: Find distance d
Substitute [DF]: [tex]d = \sqrt{(-1+3)^2+(3-2)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(2)^2+(1)^2}[/tex]Exponents: [tex]d = \sqrt{4+1}[/tex]Add: [tex]d = \sqrt{5}[/tex]PLEASE HELPpppppppppppppppp
Answers
Answer: 140%
Step-by-step explanation:
Cost of the coats = $45 each
Selling price of the coat = $63 each
The percent of the purchase price that is the sales price would be:
= 63/45 × 100
= 7/5 × 100
= 140%
Therefore, the answer is 140%.
Need help with question
Answers
Find the slope of the line that contains (7, -4) and (3, -3).
Answers
Answer:-1/4
Step-by-step explanation:because that is the answer i got
Answer:
1 , 3
Step-by-step explanation:
Try using rise over run
I have a half-full bottle of water and it has more than 8 ounces in it. What would be the expression
Answers
Answer:
The equivalent expression is [tex]\frac{1}{2}\cdot V_{max} > 8\,oz[/tex].
Step-by-step explanation:
The best approach consists in translating the sentence given in the question into mathematical terms until an expression is complete:
(i) I have a half-full bottle of water
Translation: I use a bottle with a maximum volume capacity [tex]V_{max}[/tex], measured in ounces, a half of it is full of water:
[tex]\frac{1}{2}\cdot V_{max}[/tex]
(ii) And it has more than 8 ounces in it
Translation: The volume occupied by the water is greater than 8 ounces. Hence, we get the following inequation:
[tex]\frac{1}{2}\cdot V_{max} > 8\,oz[/tex]
What time is it exactly 1,440,000 minutes after 10 pm
Answers
Answer:
The answer is 11 PM
Step-by-step explanation:
1,440,000 minutes is the same as 24,000 hours. Then, you add that to 10pm of that day and you get 11 pm. It is the same as multiplying 24 x 1000 hrs. it is like adding 1000 days to that since it is 24 hrs in one day. Hope this helped!!
Answer:
11:00 pm
Step-by-step explanation:
1,440,000 minutes, convert it into hours and you get 24,000 hours. Since 24 hours equal a day 24,000 is 1,000 days. Attach 10:00 pm since its exactly 1,000 days after and you get 11:00 pm.
I need these 2 questions please!!! And if you can do the bottom one I’ll give you brainliest
Answers
Answer:
for the first one the answer is .50 . for the second one you put for every .50 there is 3.50 and for number 3 for 7 is 49
How come nobody answers my questions? Like wth, I'm stuck but everyone else is getting their questions answered left and right.
Answers
Answer:
That is a good question and it might be your question you are trying to find the answer and maybe your question looks hard
Hope this help :)
Step-by-step explanation:
Is -4 a integer yes or no
Answers
Answer:
Yes
Step-by-step explanation:
A integer is any number that's not a fraction.
Answer:
yes
Step-by-step explanation:
integer are numbers that aren't a fraction
Costs of homes can be very different in different parts of the United States. a. A 450-square-foot apartment in New York City costs $540,000. What is the price per square foot? Explain or show your reasoning. b. A 2,100-square-foot home in Cheyenne, Wyoming, costs $110 per square foot. How much does this home cost? Explain or show your reasoning.
Answers
Answer:
The cost of homes per square foot differs in different part of the United states. The cost of homes per square foot is gotten by using the formula:
cost of homes per square foot = Cost of apartment / area of apartment
1) Cost of apartment = $540000, area of apartment = 450 ft²
cost of homes per square foot = Cost of apartment / area of apartment = $540000/ 450 ft² = $1200 / ft²
2) cost of homes per square foot = $110/ ft², area of apartment = 2100 ft²
cost of homes per square foot = Cost of apartment / area of apartment
$110 / ft² = Cost of apartment / 2100 ft²
Cost of apartment = $110 / ft² × 2100 ft² = $231000
Step-by-step explanation:
Hope this helps plz mark brainiest
The other person that answered this never got their brainliest bc there was only one answer so now you can give them a brainliest plz do.
How does the graph change between point A and point C?
O The graph increases, then decreases.
O The graph decreases, then remains constant.
O The graph decreases, then increases.
O The graph increases, then remains constant.
Answers
Answer:
The answer is option D. Best of luck
Answer:
the last one
the graph increases , then remains constant
Point M is the midpoint of point A and point B. Find the coordinates of point B .
A(-7,-10) M( -19/2 , -9/2)
Answers
Answer:
coordinate of point b is 12,1 by midpoint formula
Step-by-step explanation:
take mp formula and evaluate by putting value it will give you x again same process then it will give you u
A friend purchases items from a website and resells them on her own website. She typically marks up her merchandise 40%. If she purchased an item for 15$, what price should she set for the item?
Answers
Answer:
$21
Step-by-step explanation:
Step one:
given
she purchased an item for $15
marks up her merchandise 40%.
let us find 40% of $15
and add the answer to the initial price of the item
Step two:
40/100*15
=0.4*15
=$6
Hence the price should she set for the item is
=15+6
=$21