Given:
The function is:
[tex]f(x)=x^3-x[/tex]
To find:
The average of change of f(x) over the interval [1,5].
Solution:
We have,
[tex]f(x)=x^3-x[/tex]
At x=1, we have
[tex]f(1)=(1)^3-(1)[/tex]
[tex]f(1)=1-1[/tex]
[tex]f(1)=0[/tex]
At x=5, we have
[tex]f(5)=(5)^3-(5)[/tex]
[tex]f(5)=125-5[/tex]
[tex]f(5)=120[/tex]
The average of change of f(x) over the interval [a,b] is
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
Now, the average of change of f(x) over the interval [1,5] is
[tex]m=\dfrac{f(5)-f(1)}{5-1}[/tex]
[tex]m=\dfrac{120-0}{4}[/tex]
[tex]m=\dfrac{120}{4}[/tex]
[tex]m=30[/tex]
Therefore, the average of change of f(x) over the interval [1,5] is 30.
The product of x and -8 is more than 72. What are all possible values of x?
Answer: x < -9
Step-by-step explanation:
-8x > 72
x < -9 when dividing a negative number in an inequality, change the sign to opposite.
the number are less than -9.
y = -(x - 5) write the equation in slope-intercept form.
Answer:
y=-x+5
Step-by-step explanation:
Find the value of x that will make A||B
A-
2x + 50
5x - 80
B-
x = [?]
Answer:
30
Step-by-step explanation:
If A||B then the sum of given angles must be equal to 180°
2x + 50 + 5x - 80 = 180 add like terms
7x - 30 = 180 add 30 to both sides
7x = 210 divide both sides by 7
x = 30
One day of the week is selected at random. To the nearest tenth of percent, what is the probability that the chosen day is Saturday A: 28.5 B: 50.0 C: 14.3 D: 85.7
Answer:
C
Step-by-step explanation:
=1/7 X 100
=14.3
I hope this helps a bit
If someone could help me with this problem ^^ it would be greatly appreciated
Answer:
So ur answer would be
-19 x^2+ 9xy- 11 y^2
NEED HELP please!! 30 points!!!
Answer: What are you asking ?
Step-by-step explanation:
Suppose that there are 630 seats in a row. If the person to be seated is needed to sit next to someone, then what is the fewest number of seats that need to be occupied?
Answer:
Its 210
Step-by-step explanation:
What is the measure of AC? Thanks!!
Answer:
arc AC = 21 degrees
Step-by-step explanation:
2(3x-1.5) = 3x+9
6x-3 = 3x+9
3x = 12
x = 4
arc AC = 3(4) + 9 = 21
I need help with the first few, the others I have already done. Pls help I'm almost failing
Answer:
Step-by-step explanation:
15. (x + 6)(x + 1)
16. (m - 19)(m + 2)
17. (y - 8)(y - 2)
18. (p + 12)(p - 3)
19. (c - 15)(c + 3)
20. (w - 8)^2
21. (a + 15)(a - 2)
22. (x - 30)(x + 3)
23. 3(5r - 4)(5r + 4)
24. 5(3x - 1)(3x + 1)
25. mn(m - n)(m + n)
26. 6a(a - 2b)(a + 2b)
27. 3(x + 8)(x - 3)
28. 2(m - 1)^2
29. x(x + 13)(x - 4)
30. 4y(y + 6)(y - 5)
Can someone please help? f(x) = |x − 2| − 4 and g(x) = 1/2x − 2 solve algebraically for x.
Answer:
x = 8, x = 0 intercepts: (8,2) (0,-2)
Step-by-step explanation:
|x − 2| is a positive value, x can be x ≥ 2 or x ≤ 2
when x≥2, then
y = x-2-4 =x-6 and y = 1/2x - 2
x-6 = 1/2x-2
1/2x=4
x = 8
When x≤2
y = -(x-2)-4 = -x - 2
y = 1/2x - 2
-x - 2 = 1/2x - 2
x = 0
Given: f(x) = 8x4 + 2x3 – x + 3 and g(x) = -5x3 + 7x + 2
Simplify: f(x) + g(x)
Answer:
Step-by-step explanation:
[tex]8x^4+2x^3-x+3-5x^3+7x+2\\ \\ 8x^4-3x^3+6x+5[/tex]
An account with an initial balance of $4000 earns 6.5% interest for 5 years.
What is the ending balance?
Enter your answer in the box.
The ending balance is $5,480.
Given that,
The initial balance is $4,000.The rate of interest is 6.5%.And, the time period is 5 years.Based on the above information, the calculation is as follows:
[tex]= \$4,000 \times (1 + 0.065)^5[/tex]
= $5,480
Therefore, the ending balance is $5,480.
Learn more: brainly.com/question/16115373
Answer: Hi, the ending balance is 5,300
Step-by-step explanation:
I took the test and got an 100. Hope this helps!
please helppppp!!!!!!
Answer:
B
Step-by-step explanation:
Solve in substitution
Joanna is reading a storybook. The ratio of the number of pages she read to
the pages that remain to be read is 7:3. If the book contains 500 pages in all,
how many pages did Joanna read and how many pages remain to be read?
Answer:
The amount of pages that remain to be read is 150 pages
Step-by-step explanation:
Okay if we know it's in 7:3 ratio we can easily add them both to get 10, then divide 10 by 500 to get 50. SO we now know that 50 is 1 unit and since the ratio says 3 units is the answer, we multiply 50 by 3 to get 150.
Kareem exercise more than 59 minutes per day
Answer:
Ok. What is the question?
Step-by-step explanation:
The sum of two numbers is 23. Twice one number increased by 6 is the same as 4 times the other number decreased by 2. What is the largest of the two numbers?
Answer:
One number is 4.2, the other is 18.8
Step-by-step explanation:
1.) x+y=23
(x+6y)x2=4
2.) (x+6y)x2=4 = 2x+12y=4
3.)Use elimination/substitution to solve
2x+12y=4 = x+6y=2 = x=2-6y
2-6y+y=23
4.)Solve for y
2-5y=23 -> -5y=21 -> y=4.2.
5.)Solve for x
x+4.2=23
x=18.8
I may be wrong so let me know if I am
Which is a positively skewed distribution?
WILL MARK BRAINLIEST!!!!
Answer:
D
Step-by-step explanation:
D is positively skewed
When simplified, what is the exponential
form of the following expression 3⁴.35.36
Answer:
[tex]3^4*3^5*3^6 = 3^{15}[/tex]
Step-by-step explanation:
Given
[tex]3^4*3^5*3^6[/tex]
Required
Simplify
To do this, we apply laws of indices:
[tex]a^m * a^n = a^{m+n}[/tex]
So:
[tex]3^4*3^5*3^6 = 3^{4+5+6}[/tex]
Add the exponents
[tex]3^4*3^5*3^6 = 3^{15}[/tex]
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
-5x + 26 = -44
Answer:
14
Step-by-step explanation:
-5x+26=-44
-26 -26
-5x=-70
5 5
x=14
Answer:
x=14
Step-by-step explanation:
Let's solve your equation step-by-step.
−5x+26=−44
Step 1: Subtract 26 from both sides.
−5x+26−26=−44−26
−5x=−70
Step 2: Divide both sides by -5.
−5x−5=−70−5x=14
Answer:
x=14
Problem 2
Label the diagrams that show these two methods for calculating 19x50
solve -2(x + 4) + 9 < -11 then graph.
Answer:
-2x-8+9<-11
-2x+1<-11
-2x<-11-1
-2x<-12
divide both sides by -2
x>6
A company needs to take 10 sample sensor readings. If the sensor collects data at 1/2
of a sample per second, how long will it take the company to take all 10 samples?
An airplane is flying overhead at a constant elevation of 405 ft. A person is viewing the plane from a position 3040 ft from the base of a radio tower. The airplane is flying horizontally away from the person. If the plane is flying at the rate of 640 ft/s, at what rate is the distance between the person and the plane increasing when the plane passes over the radio tower? At the moment the plane passes over the tower, the distance between the person and plane is changing at a rate of ________ft/s
Answer:
δL/δt = 634,38 ft/s
Step-by-step explanation:
A right triangle is shaped by ( y = distance between aircraft and ground which is constant and equal to 405 f ) a person who is at ground level 3040 f away from the tower distance x = 3040 f and the line between the aircraft and the person. Then we can use Pythagoras theorem and write
L ( distance between aircraft and person )
L² = x² + y² or L² = x² + (405)²
Taken partial derivatives with respect to t we get:
2*L*δL/δt = 2*x*δx/t + 0
Then L*δL/δt = x*δx/dt
At the moment of the aircraft passing over the tower
x = 3040 ft δx/δt = 640 ft/s and L = √ ( 3040)² + (405)²
So L = √9241600 + 164025 L = √9405625 L ≈3066,9 ft
Then:
δL/δt = 3040*640/ 3066,9 units [ ft * ft/s / ft ] ft/s
δL/δt = 634,38 ft/s
I give brainlyiest or however you spell it lol. And PLZ HELP ME
Answer:
brainliest also gimmie a sec to figure it out
Step-by-step explanation:
Answer:
Put 2 dots in the spot above 9 by clicking on the space above the numbers. Put 3 above 10. Put 2 above 11. Put 2 above 12.
Help
Find x. Round to the nearest tenth.
27
26.2
Answer:
14.0°
Step-by-step explanation:
Reference angle = x
Hypotenuse = 27
Adjacent = 26.2
Apply trigonometric function, CAH:
Cos x = Adj/Hyp
Cos x = 26.2/27
Cos x = 0.97037037
x = Cos^{-1}(0.97037037)
x = 13.9823107°
x = 14.0° (nearest tenth)
Graph the linear equation ax +by = c, where a = 0, b = 1, and c = 1.5.
Step-by-step explanation:
ax +by = c
0(x) + 1(y) = 1.5
Answer:
ax +by = c,
by substituting value
0×x+1×y=1.5
y=1.5
Multiply (-6 + i)(-2 + 9i).
a 45 - 130i
b 95 - 52i
c 3 - 56i
d 120 - 21i
e None of the above
anyone wanna be friends cause im boreeed
Answer:
b
Step-by-step explanation:
go with that and you may win at this multiply question
Answer:
C) 3-56i
Step-by-step explanation:
I can be friends
A restaurant offers the following limited lunch menu.
Main Courses Ham, Chicken, Fish
Vegetables Corn, Green Beans
Beverages Coffee, Tea, Milk, Soda, Shakes
Desserts
Ice Cream, Brownies
If one item is selected from each of the four groups, in how many ways can a meal be ordered?
Answer:
144 options.
Step-by-step explanation:
multiplication
Which of the following is a true statement?
Snowstorms are caused by high humidity at the South Pole in May.
Florida's climate is a result of high average temperatures, latitude and precipitation.
Wind movement in the desert is caused as air is heated and sinks below the horizon.
Storms occur in Florida due to a difference in latitude between its east coast and west coast.
Florida's climate is a result of high average temperatures, latitude and precipitation. please awnser my question its about the gift shop