Answer:
C.
Step-by-step explanation:
We need to apply Mean Value theorem here.
We just need to calculate the average rate of change for each interval.
A) x=0 to x=4
We have the points (0,8) and (4,0) are the points that correspond to the endpoints of the given interval.
(8-0)/(0-4)
8/-4
-2
Not this choice
B) x=4 to x=8
We have the points (4,0) and (8,2) are the points that correspond to the endpoints of the given interval.
(2-0)/(8-4)
2/4
1/2
Not this choice
C) x=8 to x=12
We have the points (8,2) and (12,10) are the points that correspond to the endpoints of the given interval.
(10-2)/(12-8)
8/4
2
This one works.
D) x=12 to x=16
We have the points (12,10) and (16,1) are the points that correspond to the endpoints of the given interval.
(1-10)/(16-12)
-9/4
The table is an illustration of mean value theorem
[tex]\mathbf{f'(c) =2}[/tex] on the interval (8,12)
If a function is differentiable, then:
[tex]\mathbf{f'(c) =\frac{f(b) - f(a)}{b - a}}[/tex]
(a) (0,4)
This gives
[tex]\mathbf{f'(c) =\frac{f(4) - f(0)}{4 - 0}}[/tex]
[tex]\mathbf{f'(c) =\frac{f(4) - f(0)}{4}}[/tex]
From the table, we have:
[tex]\mathbf{f'(c) =\frac{0 - 8}{4}}[/tex]
[tex]\mathbf{f'(c) =\frac{- 8}{4}}[/tex]
[tex]\mathbf{f'(c) =-2}[/tex]
(b) (4,8)
This gives
[tex]\mathbf{f'(c) =\frac{f(8) - f(4)}{8 - 4}}[/tex]
[tex]\mathbf{f'(c) =\frac{f(8) - f(4)}{4}}[/tex]
From the table, we have:
[tex]\mathbf{f'(c) =\frac{2-0}{4}}[/tex]
[tex]\mathbf{f'(c) =\frac{2}{4}}[/tex]
[tex]\mathbf{f'(c) =\frac{1}{2}}[/tex]
(c) (8,12)
This gives
[tex]\mathbf{f'(c) =\frac{f(12) - f(8)}{12 - 8}}[/tex]
[tex]\mathbf{f'(c) =\frac{f(12) - f(8)}{4}}[/tex]
From the table, we have:
[tex]\mathbf{f'(c) =\frac{10-2}{4}}[/tex]
[tex]\mathbf{f'(c) =\frac{8}{4}}[/tex]
[tex]\mathbf{f'(c) =2}[/tex]
Hence, [tex]\mathbf{f'(c) =2}[/tex] on the interval (8,12)
Read more about mean value theorems at:
https://brainly.com/question/3957181
I’ll give brainliest and a 100 points
Answer:
130.5ft²
Step-by-step explanation:
Hello There!
The figure shown is a composite figure ( so we can't find the area of it using one formula )
That being said we want to break the irregular figure into regular figures in which the area can simply be found using a formula
The figure would be broken in to the following shapes
A rectangle with a width of 4 ft and a length of 9 ft
A rectangle with a width of 8 ft and a length of 9 ft
A triangle with a height of 5 ft and a base of 9 ft
Now that we have broken the irregular figure into regular shapes we want to find the area of each individual shape
For the smaller rectangle:
The area of a rectangle can simply be calculated by multiplying the width and length
So A = 9 * 4
9 * 4 = 36
so the area of the smaller rectangle is 36ft²
For the larger rectangle
Once again the area can simply be found by multiplying the width and length
A = 8 * 9
8 * 9 = 72
so the area of the larger rectangle is 72ft²
For the triangle
To find the area of a triangle we want to use this formula
[tex]A = \frac{bh}{2}[/tex]
where b = base and h = height
We have already identified the base and height so all we have to do is plug in the values into the formula
[tex]A=\frac{5*9}{2} \\5*9=45\\\frac{45}{2} =22.5[/tex]
so the area of the triangle is 22.5ft²
Finally we add the areas of each regular figure
22.5 + 72 + 36 = 130.5
so we can conclude that the area of the composite figure is 130.5ft²
Complete the transformations below.
Then enter the final coordinates of the figure.
A(-3,4)
B(1,2)
C(-2,1)
A'' (-6, [?])
B'' ([],[])
C"" ([],[]).
1) Reflect across X - axis
2 <1, -3>
3) Dilate K = 3
Answer:
B'''(6, -15), C'''(-3, -12)
Step-by-step explanation:
For point B,
[tex]B(1,\,2) \to B'(1,\,-2) \to B''(2,\,-5) \to B'''(6,\,-15)[/tex]
For point C,
[tex]C(-2,\,1) \to C'(-2,\,-1) \to C''(-1,\,-4) \to C'''(-3,\,-12)[/tex]
Reflecting a point across the x-axis: leave the x-coordinate the same; replace the y-coordinate with its opposite.
<1, -3> These are translations: add 1 to x, subtract 3 from y.
Dilate k=3: multiply both x and y by 3.
PLEASE HELP THIS IS DUE I HAVE BEEN TRYING AND DONT UNDERSTAND IT!!!!
Answer:
Step-by-step explanation:
Moving a coordinate left will subtract from the x coordinate (left 3 means subtract 3 from x coordinate)
Moving a coordinate right will add to the x coordinate (right 3 means add 3 to x coordinate)
Moving a coordinate down will subtract from the y coordinate (down 3 means subtract 3 from y coordinate)
Moving a coordinate up will add to the y coordinate (up 3 means add 3 to y coordinate)
Reflect means flip the sign of the corresponding coordinate
reflect over x axis flip the sign of x coordinate
reflect over y axis flip the sign of y coordinate
g(x)=2x-x when x=-5
What is the answer to this please solve
9514 1404 393
Answer:
-5
Step-by-step explanation:
The given linear equation simplifies to ...
g(x) = 2x -x
g(x) = x
For x = -5, this is ...
g(-5) = -5
A shop is selling notebooks for £1.50 each. They have a buy one get one free offer on. How many notebooks can be brought for £22?
Answer:
28
Step-by-step explanation:
22÷1.50=14.6
=14
14×2=28
Please help giviing brainliest!!!
Answer:
2 1/2 x 3 1/2 x 7 = 61 1/4
the more you take the more you leve behind
Answer:
Footsteps is the answer.
Hope it helps!!!
Value of X. Please give step by step so I understand
Answer:
The value of x is 15.
Step-by-step explanation:
Since the base is 40 inches long, and the two triangles are congruent - both are right triangles and have sides x and their bases equal - you know that each base of a triangle is 20 inches long. Using the Pythagorean Theorem, you can get that [tex]x^2+20^2=25^2[/tex]. Solve for x by isolating the variable on one side: [tex]x^{2} =25^{2} - 20^{2}[/tex] ⇒ [tex]x^{2} = 625 - 400[/tex] ⇒ [tex]x^{2} = 225[/tex] ⇒ [tex]x^{2} =225[/tex] ⇒ [tex]x=\sqrt{225}[/tex] ⇒ [tex]x=15[/tex] inches.
Help me out here.........
Answer:
G. 10.5 pounds
Step-by-step explanation:
96 oz + 72 oz = 168 oz
There are 16 oz in one pound
168 oz / 16 oz = 10.5 pounds.
Please be sure to mark this as brainliest if it helpd you!
Answer:
Step-by-step explanation:
Total ounces = 96 + 72 = 168 ounces
1 ounce =
0.0625 pound
168 ounces = 10.5 pound
Option G is the correct answer
A man bought 5 laptops and a desktop for taka 229600. If a laptop costs taka 32750 find the cost of the desktop
Answer:
65850
Step-by-step explanation:
Answer:
65,850
Step-by-step explanation:
5 laptops costs 163,750(5x32750). Total costs of 229,600-laptops 163,750=costs of desktop 65850.
Does the mapping diagram represent a function? Why or why not?
Answer:
If I was you I can go
for A because the function name is one to many
how would you know if a polynomial is prime?
Whats 9x6 pls helpppppllll
Answer:
54
Step-by-step explanation:
simplify 4 1/4 hours:45 minutes
Answer:
[tex]4\frac{1}{4}[/tex] hours : 45 minutes
[tex]4\frac{1}{4}[/tex] hours : [tex]\frac{3}{4}[/tex] hours
255 minutes : 45 minutes
Answer:
49 1/4
Step-by-step explanation:
4 1
4
+ 45
= (4 + 45) + (
1
4
+ 0 )
= 49 +
1
4
+ 0 × 4
= 49 +
1
4
+
0
4
= 49 +
1 + 0
4
= 49 +
1
4
=
49 1
4
Which of the following angle pairs
are
NOT congruent?
Answer:
<2 and <8
Step-by-step explanation:
the number of bacteria present in a culture after t minutes is given as b=10e
Answer:
Step-by-step explanation:
I have no clue I just need 5 pionts
Help me & like actually answer instead of putting the link thing cause I don’t know how to do that lol please & thank you :)
Answer:
f(x) = 120+15x
Step-by-step explanation:
the constant is 120 because that is the money that he already has and is an unchanged quantity. for every week he gains $15. that means that he gains 15x after x weeks.
Help me plz it’s important
A laundry basket contains 9 socks, of which 3 are blue.
What is the probability that a randomly selected sock will be blue?
Write your answer as a fraction or whole number.
P(Blue) = ?
Answer:
3
Step-by-step explanation:
Which equation has a slope of –2 and passes through the point (5, 0)?
A. y = 2x + 5
B. y = 2x + 10
C. y = –2x + 5
D. y = –2x + 10
Answer:
D. y = –2x + 10
Step-by-step explanation:
1) First, write the equation of the line in point-slope form with the given information. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].
Since [tex]m[/tex] represents the slope, substitute -2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (5,0) into the formula as well. This gives the following equation:
[tex]y - 0 = -2(x-5)\\y = -2(x-5)[/tex]
2) Expand the right side of the equation to find the answer:
[tex]y = -2(x-5)\\y = -2x+10[/tex]
So, option D is correct.
17. Which economic instability becomes a problem during a recession?
A. Producer Price Index
B. Inflation
C. Unemployment
Find sin 0
16
20
A.
В.
C.
D.
13
Answer:
dont know im sorry
Step-by-step explanation:
select all expression that are equivalent to 64 2/3.
Answer:
Option B and DStep-by-step explanation:
As,
[tex] {64}^{ \frac{2}{3} } = {(\sqrt[3]{64})}^{2} = \sqrt[3]{ {64}^{2} } [/tex]
Find a polynomial that has the given degree and zeros.
Degree 3 with -1, 3, and -5 as zeros
[tex]x^{3} + {?}x^{2} + {?}x + {?}[/tex]
You can write such a cubic polynomial in terms of its roots using the factor theorem:
(x - (-1)) (x - 3) (x - (-5)) = (x + 1) (x - 3) (x + 5)
Now just expand this:
(x + 1) (x - 3) (x + 5) = x ³ + (1 - 3 + 5) x ² + (-3 + 5 - 15) x - 15
… = x ³ + 3x ² - 13x - 15
un campo de fútbol mide de largo 105m y de ancho 65m¿cuál es el área total del campo de fútbol?
Answer:
6825
Step-by-step explanation:
area=largo X ancho
area= 105 x 65= 6825
Help plss
2. This is Josh’s solution for the equation :
Is Josh’s solution correct? Explain.
Answer:
x = 7
Step-by-step explanation:
in Josh solution, the steps are correct till
(x-3)² = 16. After this
√(x-3)² = √16
x-3 = 4
x = 4+3 = 7
No, Josh is incorrect the roots of the quadratic equation are 19 & -13.
What is a quadratic equation ?An equation is quadratic in form if it can be written in the form of ax + bx + c = 0, where a, b, and c are constants and x is the variable.
Given that,
The quadratic equation,
x² - 6x - 7 = 0
we can calculate the roots of the equation by using the formula:
x = -b + √(b² - 4ac) / 2a
In the given equation,
a = 1
b = -6
c = -7
x = -(-6) + √((-6)² - 4x1x(-7)) / 2
= (6 + 8)/ 2
x = 7, -1
Hence, Josh's solution is not correct.
To know more about quadratic equation check:
https://brainly.com/question/30098550
#SPJ3
Circles Test
Find the circumference of each circle. Round your answer to the nearest whole
CAN SOMEONE PLEASE HELP ME
Answer:
[tex]12.3[/tex]
Step-by-step explanation:
[tex]\bar{x}=\frac{6+17+15+11+10+9+18}{7}=12.3[/tex]
MAJOR HELP PLSSS!!!!!
Young company expects to double their profits every year for the next 10 years. If their profits were $5000 this year, which expression represents the profits after 10 years
A.5,000x2x10
B.5,000x2^10
C.5,000^2x10
D.5,000^10
Answer:
Suppose profits were $1
At 1 yr profit = 2 (2)^1
2 yr = 4 (2)^2
3 yr = 8 (2)^3
10 yr = 1024 (2)^10
So the correct answer should be 5000 * (2)^10
HELP ME PLS!!!
I need help :(
Answer:
Step-by-step explanation:
Remark
I nearly found the length of a chord PQ. Be careful you don't make the same mistake. It is an arc which is part of the circumference.
Equation
Length of arc PQ = angle/360 * 2* pi * r
Givens
Angle = 110
r = 4 in
Solution
Length of arc PQ = 110/360 * 2 * 3.14 * 4
Length of arc PQ = 0.305555 * 6.28 * 4
Length of arc PQ = 7.67555
Length of arc PQ = 7.68