f(x) = x + x^2 - x+6, x2 - *+6, (-2, 0] absolute maximum (x, y) = х absolute minimum (x, y) =
Answers
The absolute minimum is (x, y) = (-2, -4), and the absolute maximum is (x, y) = (0, 6).
Based on the given function f(x) = x + x^2 - x+6 and the domain (-2, 0], we can find the absolute maximum and minimum values by evaluating the function at the critical points and endpoints.
To find the critical points, we take the derivative of the function:
f'(x) = 2x
Setting f'(x) = 0, we get x = 0 as the only critical point.
Next, we evaluate the function at the endpoints:
f(-2) = -4
f(0) = 6
Therefore, the absolute minimum occurs at x = -2 with a value of -4, and the absolute maximum occurs at x = 0 with a value of 6.
Know more about Absolute maximum here;
https://brainly.com/question/29030328
#SPJ11
Related Questions
Plsss help meeee :))
Answers
Answer:
i think 6(k)^2 ?
Step-by-step explanation:
Aidan picks apples at the rate of 11 apples every minute.How many apples would he pick in 36 minutes
Answers
Answer:
396 apples
Step-by-step explanation:
11 x 36 = 396
I hope this helps :)
GIVING BRAINEST FOR THE PERSON WHO GETS THIS RIGHT
The table represents a linear function.
x y
-5 -4
-2 2
1 8
3 12
Identify the intercepts of the line.
Write the equation of the line in standard form.
Answers
An economy is described by the following equations:
C = 1,800 + 0.6 (Y – T)
I p = 900
G = 1,500
NX = 100
T = 1,500
Y* = 9,000
a. Complete the table shown below to find short-run equilibrium output. Consider possible values for short-run equilibrium output ranging from 8,000 to 9,000.
Answers
The completed table shown below to find short-run equilibrium Output (Y)C = 1,800 + 0.6(Y – T)IpG = 1,500NX = 100C + I + G + NX8,0003, 5001006,580
Why Consider possible values for short-run equilibrium?To complete the table shown below to find short-run equilibrium output, possible values for short-run equilibrium output ranging from 8,000 to 9,000, let us first calculate the equilibrium output.
Given the following equations:
C = 1,800 + 0.6(Y – T)Ip = 900G = 1,500NX = 100T = 1,500Y* = 9,000
We can calculate the equilibrium output using the following equation:
Y = C + I + G + NXwhere,C = 1,800 + 0.6(Y – T)I = 900G = 1,500NX = 100T = 1,500Substituting the given values in the above equation,
we get;Y = 1800 + 0.6(Y - 1500) + 900 + 1500 + 100Y = 5400 + 0.6Y - 900 + 1500 + 100Y = 7800 + 0.6YSolving the above equation, we get;
Y = 9000This is the equilibrium level of output.
Now, using the possible values for short-run equilibrium output ranging from 8,000 to 9,000, we can complete the table as follows:
Output (Y)C = 1,800 + 0.6(Y – T)I pG = 1,500NX = 100C + I + G + NX8,0003,6009001,5001006,1008,1003,8409001,5001006,3409,0004,0809001,5001006,580
Therefore, the completed table shown below to find short-run equilibrium output is:
Output (Y)C = 1,800 + 0.6(Y – T)IpG = 1,500NX = 100C + I + G + NX8,0003,6009001,5001006,1008,1003,8409001,5001006,3409,0004,0809001,5001006,580
Learn more about equilibrium
brainly.com/question/30807709
#SPJ11
Which number is less than 8.350
Answers
the answer is
8.349 : )
because it is 1 less than 8.350 : )
The alignment between the magnetic tape and head in a magnetic tape storage system affects the performance of the system. suppose that 10% of the read operations are degraded by skewed alignments, 5% of the read operations are degraded by off-center alignments , and the remaining read operations are properly aligned. the probability of read error is 0.01 from a skewed alignment, 0.02 from an off-center alignments,and 0.001 from a proper alignment .what is the probability of a read error?
Answers
The probability of a read error is approximately 0.195%.
The probability of a read error can be calculated as the sum of the probabilities of read errors from each type of alignment, weighted by the probability of each type of alignment occurring.
The probability of a read error from a skewed alignment is:
0.10 * 0.01 = 0.0010
The probability of a read error from an off-center alignment is:
0.05 * 0.02 = 0.0010
The probability of a read error from a proper alignment is:
0.85 * 0.001 = 0.00085
The total probability of a read error is the sum of the probabilities from each type of alignment:
0.0010 + 0.0010 + 0.00085 = 0.00195
So the probability of a read error is approximately 0.00195 or 0.195%.
You can learn more about probability at
https://brainly.com/question/13604758
#SPJ4
I ordered some books online for myself and friends. Each book costs $13 and the store charges a flat rate for shipping of $20. Write an algebraic expression to show the total cost of the books. Let n represent the number of books.
Answers
Answer:
13n+20
Step-by-step explanation:
Answer: the answer is 13n+20
Step-by-step explanationn: IM TAKING THE TEST
Arie's pet shop is selling geckos at 12 and a half percent off! if geckos were originally $20 each, what is the sale price?
Answers
DIscount = 121/2 % 0ff
\(\begin{gathered} \text{Sales price = 12}\frac{1}{2}\text{ }\times\text{ 20} \\ \text{ =}\frac{\frac{25}{2}}{100}\text{ }\times20\text{ } \\ \text{ } \\ \text{ =}\frac{25}{200}\text{ }\times20\text{ = }\frac{500}{200}\text{ = \$2.5} \end{gathered}\)Nick determines that the quotient of 1/8 and 4 is 32. Review his work.Nick makes a mistake. What mistake does Nick make?
I’ll give brainliest no links HURRY PLS
Answers
Answer:
1/8 ÷ 4/1 = 1/32
write an equation of the parabola in vertex form calculator
Answers
A parabola's vertex form equation is as follows:
y = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola.
To use a calculator to find the equation of a parabola in vertex form, you would typically need to know the coordinates of the vertex and at least one other point on the parabola.
Determine the vertex coordinates (h, k) of the parabola.
Identify at least one other point on the parabola (x, y).
Substitute the values of the vertex and the additional point into the equation y = a(x - h)^2 + k.
Solve the resulting equation for the value of 'a'.
Once you have the value of 'a', substitute it back into the equation to obtain the final equation of the parabola in vertex form.
Note: If you provide specific values for the vertex and an additional point, I can assist you in calculating the equation of the parabola in vertex form.
To know more about Parabola, visit
brainly.com/question/29635857
#SPJ11
PLEASE HELP ASAP! WILL MARK BRAINLIEST
Answers
Answer:
201.06
Step-by-step explanation:
https://rb.gy/xgo4xh
Answer:
A=64π
Step-by-step explanation:
A=π\(r^{2}\)
radius=8
A=π\(8^{2}\)
A=64π
≈201.06
simplify
Q1) 3x + 5y - x + 2y
Q2) 3g + 5h + 4g - 2h
Q3) 4p + 2p - 3p
Answers
Answer:
1) 2x+7y
2) 7g+3h
3) 3p
Step-by-step explanation:
Combine like terms.
3x - (1)x = 2x, and 5y + 2y = 7y, so you could say 2x + 7y.
I hope this helps :)
Answer:
3x-x+5y+2y
Step-by-step explanation:
after putting the like terms together then add or subtract as given.
2x+7y as our final answer.
3g+4g+5h-2h
7g+7h
since our final answer is factorisable we write our final answer as 7(g+h)
4p+2p-3p
since our terms are all alike we just go directly to adding and subtracting.
3p as our answer
please help me to solve problems
Answers
Step-by-step explanation:
a.= 6
c.=7
f.=3
i only know this
14. Given: trapezoid WXYZ with midsegment ST. If WZ = 15 and ST = 20, find the length
of XY.
A. 10
B. 25
C. 5
D. 35
Answers
What coefficient should be placed before the CO2?
Answers
Answer:
C2H5OH(1)+O2(g)-->CO2+3H20(1)
Step-by-step explanation:
Answer:
i think it's 4 but im not sure
Step-by-step explanation:
what is the counter example for 'if you do not eat beef then you're not vegetarian'
Answers
Answer: If you're not vegetarian, then you do not eat beef.
Step-by-step explanation:
Dismiss the 'if' and 'then':
- you do not eat beef
- you're not vegetarian
Now, all you have to do is switch their places:
- you're not vegetarian
- you do not eat beef
Now add the 'if' and 'then' back:
If you're not vegetarian, then you do not eat beef.
evaluate the iterated integral by converting to polar coordinates. 1 0 2 − y2 6(x + y) dx dy y
Answers
We are given the iterated integral:
∫(y=0 to 1) ∫(x=0 to 2-y^2) 6(x + y) dx dy
To convert this to polar coordinates, we need to express x and y in terms of r and θ. We have:
x = r cos(θ)
y = r sin(θ)
The limits of integration for y are from 0 to 1. For x, we have:
x = 2 - y^2
r cos(θ) = 2 - (r sin(θ))^2
r^2 sin^2(θ) + r cos(θ) - 2 = 0
Solving for r, we get:
r = (-cos(θ) ± sqrt(cos^2(θ) + 8sin^2(θ)))/2sin^2(θ)
Note that the positive root corresponds to the region we are interested in (the other root would give a negative radius). Also, note that the expression under the square root simplifies to 8cos^2(θ) + 8sin^2(θ) = 8.
Using these expressions, we can write the integral in polar coordinates as:
∫(θ=0 to π/2) ∫(r=0 to (-cos(θ) + sqrt(8))/2sin^2(θ)) 6r(cos(θ) + sin(θ)) r dr dθ
Simplifying and integrating with respect to r first, we get:
∫(θ=0 to π/2) [3(cos(θ) + sin(θ))] ∫(r=0 to (-cos(θ) + sqrt(8))/2sin^2(θ)) r^2 dr dθ
= ∫(θ=0 to π/2) [3(cos(θ) + sin(θ))] [(1/3) ((-cos(θ) + sqrt(8))/2sin^2(θ))^3 - 0] dθ
= ∫(θ=0 to π/2) [1/2sqrt(2)] [2sin(2θ) + 1] dθ
= (1/2sqrt(2)) [(1/2) cos(2θ) + θ] (θ=0 to π/2)
= (1/2sqrt(2)) [(1/2) - 0 + (π/2)]
= (π + sqrt(2))/8
Therefore, the value of the iterated integral, when converted to polar coordinates, is (π + sqrt(2))/8.
To learn more about iterated integral refer below
https://brainly.com/question/31433890
#SPJ11
Please help I don’t get it
Answers
Answer:
1.03
Step-by-step explanation:
10.52-1.25=9.27
9.27/3=1.03
2x - 3y = 6
3x + y = 32
Answers
Answer:
what
Step-by-step explanation:
i dont understand....
a 2 kg block is placed at the top of an incline and released from rest near earth’s surface and unknown distance h above the ground. the angle θ between the ground and the incline is also unknown. frictional forces between the block and the incline are considered to be negligible. the block eventually slides to the bottom of the incline after 0.75 s. the block’s velocity v as a function of time t is shown in the graph starting from the instant it is released. how could a student use the graph to determine the total energy of the block-earth system?
Answers
Therefore , the distance travelled by the 2kg block is 281.25m and the energy of the block earth is 14.0625 J
What is force?It can push or pull. Acceleration is caused by unbalanced forces.
The Newton is the symbol for a force (abbreviation is N).The force required to cause a mass of one kilogramme to alter its velocity by one metre per second (m/s) per second is one Newton. The formula is: 1 N = 1 kg m/s2 (kilogram metre per second squared)
Here,
Let s represent the block's total distance travelled.
As a result, the block's work will be equal to the potential energy contained in the spring.
It is given as,
(mgsinθ)×s= 1/2 k\(x^{2}\)
( √2 ×10×sin45 ∘ )×s= 1/2 ×100 x (0.75*0.75)
s=281 . 25m
Thus, the distance travelled by the block is 281 . 25m.
For energy :
=> 1/2 m v^2
=> 1/2 * 2* (3.75)^2
=> 14.0625 J
Therefore , the distance travelled by the 2kg block is 281.25m and the energy of the block earth is 14.0625 J
To know more about Force , visit
https://brainly.com/question/2193360
#SPJ4
The distance travelled by the 2kg block is 281.25m and the energy of the block earth is 14.0625 J
What is meant by work in physics?When an object is moved over a distance by an external force, at least a portion of that force must be applied in the direction of the displacement. This is known as work in physics.
Define energy.The ability to exert a force that causes an item to move is what is meant by the definition of energy as the "power to accomplish work."
Let s= total distance travelled by block.
Therefore, the block's work will be equal to the spring's potential energy.
According to given information,
(mgsinθ)×s= 1/2 k
( √2 ×10×sin45 )×s= 1/2 ×100 x (0.75*0.75)
s=281 .25m
Therefore, the distance travelled by the block is 281 . 25m.
For energy we have:
=> E= 1/2 m v^2
=> E= 1/2 * 2* (3.75)^2
=>E= 14.0625 J
So , the distance travelled by the 2kg block is 281.25m and the energy of the block earth is 14.0625 J.
To learn more about work visit the link:
https://brainly.com/question/25573309
#SPJ4
a) Is {a, e,i,o,u} a subset of {a,b,c,d,e,f,g,h,i)
Why?
Answers
Answer:
No
Step-by-step explanation:
u and o arent elements of {a, b, c, d, e, f, g, h, i}
Estimate the length of the hypotenuse. 57 C07 D KUP H
Answers
We can estimate that the length of the hypotenuse is about 8.6 units.
Estimating the length of the hypotenuseWe can use the Pythagorean theorem to estimate the length of the hypotenuse of the right triangle formed by the given opposite and adjacent sides.
The Pythagorean theorem states that:
c^2 = a^2 + b^2
where c is the length of the hypotenuse, and a and b are the lengths of the other two sides of the right triangle.
Substituting the given values, we get:
c^2 = 7^2 + 5^2
c^2 = 49 + 25
c^2 = 74
To estimate the length of the hypotenuse, we can take the square root of both sides:
c ≈ √74
c ≈ 8.6 (rounded to one decimal place)
Read more about right triangles at
https://brainly.com/question/2437195
#SPJ1
Quadrilateral ABCD quadrilateral WXYZ, AB = 15, BC = 27 and the scale factor of WXYZ to ABCD is. Find XY (to the nearest tenth)
Answers
Given, Quadrilateral ABCD quadrilateral WXYZ, AB = 15, BC = 27Scale factor of WXYZ to ABCD is x y is a corresponding side of the quadrilateral WXYZ. Let ABCD be any arbitrary quadrilateral and WXYZ be its corresponding quadrilateral.
Then, the scale factor of quadrilateral WXYZ to quadrilateral ABCD is given as: scale factor `= "corresponding side of WXYZ"/"corresponding side of ABCD" `Now, we need to find XY, which is a corresponding side of the quadrilateral WXYZ .So, scale factor `= "XY"/"AB "`We have AB = 15, and the scale factor = `sqrt((27+24+12)/15)` = `3sqrt(13)`Therefore, `3sqrt(13) = "XY"/"15"` => `"XY" = 45sqrt(13)/13` = 123.7 (to the nearest tenth)Hence, the value of XY is approximately equal to 123.7 units (to the nearest tenth).
Learn more about Quadrilateral ABCD here:
https://brainly.com/question/1935431
#SPJ11
James lives in san francisco and works in mountain view. in the morning, he has 333 transportation options (bus, cab, or train) to work, and in the evening he has the same 333 choices for his trip home.
Answers
The probability that James will take the same mode of transportation twice is 1/9.
To find the probability that James will take the same mode of transportation twice, we need to calculate the probability of each individual transportation option and then multiply them together.
In the morning, James has 3 transportation options: bus, cab, or train. Since he randomly chooses his ride, the probability of selecting any particular option is 1 out of 3 (assuming all options are equally likely).
Therefore, the probability of James selecting the same transportation mode in the morning and evening is 1/3.
Hence, the probability that James will take the same mode of transportation twice is 1/3 multiplied by 1/3:
P(same mode of transportation twice) = 1/3 * 1/3 = 1/9.
Therefore, the probability that James will take the same mode of transportation twice is 1/9.
To know more about probability:
https://brainly.com/question/31828911
#SPJ4
use long division to find 514/28.
Answers
Using the long division method we get the answer for 514/28 as 18.216 as the quotient and 17344 as the remainder.
Given the expression is 514/28
Following are the steps to use the long division method.
Step 1: Find the appropriate integer to divide the supplied value by.
Step 2: To determine the amount to be removed from the payout, multiply the integer (quotient) and divisor.
The third step is to deduct the amount from the dividend.
Step 4: Subtract the remainder and any additional digits from the dividend.
28 | 514.00 00 00 |18.216
18 | 504
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
462 | 10 00
+ 2 | 924
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
4641 | 7600
+ 1 | 4641
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
46426 | 295900
+ 6 | 278556
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
17344
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
Hence we get the required answer.
Learn more about Long division here:
brainly.com/question/25289437
#SPJ1
What is 74% of 50??????
Answers
Answer: 37
Step-by-step explanation:
: )
Answer:
37
Step-by-step explanation:
Question 2 An exponential model y = a.6 passes through the points (0,9) and (3,243). What are the values of a and b?
Answers
Answer:
a = 9, b = 3
Step-by-step explanation:
The exponential function is
y = a \(b^{x}\)
Find a and b by using the points it passes through
Using (0, 9 ) then
9 = a \(b^{0}\) ( \(b^{0}\) = 1 )
a = 9
y = 9 \(b^{x}\)
Using (3, 243 ) then
243 = 9b³ ( divide both sides by 9 )
27 = b³ ( take the cube root of both sides )
b = \(\sqrt[3]{27}\) = 3
y = 9\((3)^{x}\) ← exponential equation
Jessica is purchasing new photo frame for a photo. What measurement does Jessica need to know about the photo before she starts?
Answers
in base $10$, the number $2013$ ends in the digit $3$. in base $9$, on the other hand, the same number is written as $(2676) {9}$ and ends in the digit $6$. for how many values of $b$ does the base-$b$-representation of $2013$ end in the digit $3$?
Answers
There are no values of $b$ for which the base-$b$-representation of $2013$ ends in the digit $3$. For a number to end in the digit $3$ in base-$b$ representation, it must be congruent to $3$ modulo $b$.
We can rewrite $2013$ as $2 \cdot 10^3 + 0 \cdot 10^2 + 1 \cdot 10^1 + 3 \cdot 10^0$. Now, if $2013$ is congruent to $3$ modulo $b$, it means that $2 \cdot 10^3 + 0 \cdot 10^2 + 1 \cdot 10^1 + 3 \cdot 10^0$ is also congruent to $3$ modulo $b$.
Simplifying the expression, we have $2000 + 0 + 10 + 3$. Since the base-$b$-representation is formed by multiplying each digit by the corresponding power of $b$, we can rewrite the expression as $2 \cdot b^3 + 1 \cdot b^1 + 3 \cdot b^0$. We can now observe that the constant term $3 \cdot b^0$ will always be congruent to $3$ modulo $b$. However, the other terms $2 \cdot b^3$ and $1 \cdot b^1$ will not be congruent to $3$ modulo $b$ for any positive value of $b$. Therefore, the base-$b$-representation of $2013$ cannot end in the digit $3$ for any value of $b$.
Hence, there are no values of $b$ for which the base-$b$-representation of $2013$ ends in the digit $3$.
Learn more about congruent here:
brainly.com/question/33002682
#SPJ11
PLEASEEE HELP ME IM STUCK ON LETTER B IM NOT SURE WHAT TO DO PLEASE HELP ILL MARK BRAINLIEST LOL CAN YOU ALSO SHOW WORK THANK YOU VERY APPRECIATED !!! ILY<3
Answers
Answer:
a.80 b. 150
Step-by-step explanation:
Answer:
Step-by-step explanation:
A regular octagon can be divided radially into 8 congruent, isosceles triangles. Each triangle has a vertex angle of 360°/8 = 45° and base angles of 67.5° each.
Height of triangle = 7.5tan(67.5°) ≈ 18.1 ft
Area of triangle = 0.5(15)(18.1) = 135. ≈ 8 sq ft
Area of octagon = 8(135.8) = 1086 sq ft