Answers
Given:
The graph of a function.
To find:
The average rate of change of h over the interval [tex]5\leq t\leq 9[/tex].
Solution:
The average rate of change of a function f(x) over the interval [a,b] is:
[tex]m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
So, the average rate of change of h over the interval [tex]5\leq t\leq 9[/tex] is:
[tex]m=\dfrac{h(9)-h(5)}{9-5}[/tex]
From the given graph it is clear that [tex]h(9)=7,h(5)=3[/tex]. Substituting these values, we get
[tex]m=\dfrac{7-3}{9-5}[/tex]
[tex]m=\dfrac{4}{4}[/tex]
[tex]m=1[/tex]
Therefore, the average rate of change of h over the interval [tex]5\leq t\leq 9[/tex] is 1.
Related Questions
The image below shows F with perpendicular tangent lines at points A and B.
Will be reported if you add something that does not match the question
Answers
Answer:
∠AFB= 90°∠ADB= 360-90
270Shape AFBC →is a Square because every angle is 90 degrees.--------------------------
hope it helps...
have a great day!!
Pls solve I will mark brainliest
Answers
Answer:
292.5
Step-by-step explanation:
1/2*13(20cm+25cm)
Please help me for my cousin
Answers
Which expression is equivalent to (3x + 4)(2x - 3)?
Answers
Answer:
Step-by-step explanation:
If there are choices, you should list them. It's a guess about which is correct. I'll list 2 of them.
(3x + 4)(2x - 3) can be
(2x - 3)(3x + 4) or
F: 3x*2x = 6x^2
O:3x * -3 = - 9x
I : 4 * 2x = 8x
L: 4 * - 3 = - 12
When added, you get
6x^2 -9x + 8x - 12
6x^2 - x - 12
The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1.
Why are the events not independent?
The sum of P(A) and P(B) is greater than P(A and B).
The product of P(A) and P(B) is greater than P(A and B).
The product of P(A) and P(B) is not equal to P(A and B).
The sum of P(A) and P(B) is not equal to P(A and B)
Answers
Answer:
the correct answer is the product of PA) and P(B) is not equal to P(A and B)
square OABC is drawn on a centimetre grid. O is (1,3) A is (3,3) B is (3,5)
Answers
Answer:
you have to tell us the question honey
10 points !
what is 20% of 30 ?
Answers
Answer:
6
Step-by-step explanation:
Of means multiply
20% * 30
Change to decimal form
.20 * 30
6
Answer:
6
Step-by-step explanation:
[tex]20\% \ of \ 30 = \frac{20}{100} \times 30 = \frac{1}{5} \times 30 = 6[/tex]
Triangle JKL has the coordinates listed: J (5, -8), K (10, -8), L (7, -4) Where is J’ after a reflection over the y-axis?
Answers
The Rule for reflection over the y-axis is given by (x,y) to (-x,y).
so, J' (-10,-8)
✐----------------------
hope it helps...
have a great day!
Answer:
J' Coordinates = (-5, -8)
Step-by-step explanation:
We know that in the coordinate point J (5, -8);
x-value = 5
y-value = -8
In order to reflect J over the y-axis, we will keep the y-value of the coordinate same and then reverse the x-value to it's opposite, Therefore the J' coordinates would be;
x-value = -5
y-value = -8
J' Coordinates = (-5, -8)
Hope this helps!
Jimmy and Jennifer are selling pies for a school fundraiser. Customers can buy apple pies and blackberry pies. Jimmy sold 10
apple pies and 2 blackberry pies for a total of $80. Jennifer sold 10 apple pies and 3 blackberry pies for a total of $100. Find the
cost each of one apple pie and one blackberry pie.
Answers
Answer:
One apple pie is $4 and one blackberry pie is $20
Step-by-step explanation:
Create a system of equations where a is the cost of one apple pie and b is the cost of one blackberry pie:
10a + 2b = 80
10a + 3b = 100
Solve by elimination by multiplying the top equation by -1, then adding the equations together:
-10a - 2b = -80
10a + 3b = 100
Add these together:
b = 20
So, one blackberry pie is $20. Plug in 20 as b into one of the equations, and solve for a:
10a + 2b = 80
10a + 2(20) = 80
10a + 40 = 80
10a = 40
a = 4
So, one apple pie is $4.
One apple pie is $4 and one blackberry pie is $20
Please help with this, will give brainliest.
Answers
Answer:
A) 4 cats
Step-by-step explanation:
let x = 16-y
substitute to get:
18(16-y) + 30y = 432
288 - 18y + 30y = 432
12y = 144
y = 12
x = 4
f
is inversely proportional to
√
g
.
When
f
=
12
,
g
=
36
Work out
g
when
f
=
8
Answers
Answer:
g = 81.
Step-by-step explanation:
f = k/√g where k is a constant
When f = 12 g = 36, so:
12 = k/√36 = k/6
k = 12*6 = 72.
So the relation is:
f = 72/√g
When f = 8:
8 = 72/√g
8√g = 72
√g = 72/8 = 9
g = 9^2 = 81.
Anybody else panicking while trying to finish their classes?
(please say it's not just me)
Answers
Answer:
no it's me too haha
Step-by-step explanation:
yes currently i am taking my pre calc final and am definitely failing it
Please help
1< |x– 2| < 5
Answers
Answer:
[tex]1 < |x -2|< 5\\1< |x-2| = |x-2| > 1\\-1 >x-2 \ , \ x-2<1\\1>x \ , \ x >3\\\\|x-2|<5 = -5 < x-2<5 = -3 <X<7\\\\Therefore , by \ merging \ overlapping \ intervals \\\\-3<x<1\quad \mathrm{or}\quad \:3<x<7[/tex]
reduce 9/45 to simplest terms in fractions
Answers
Answer:
1/5
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
1/5.
Step-by-step explanation:
Divide top and bottom of the fraction by 9.
Find the mean of this data set: 11, 13, 13, 11, 13
Answers
Answer:
I'm saososowowo3iwiqiwuwuwuwbabahaqbqnwnwnwnwnwnwnwnwnwnwnwnwnwnwnwnwnen
Answer:
I'mnot really sure if it might be correct but I believe it's 12.2 :))
determine the value of x.. i will give brainliest
Answers
Answer:
Step-by-step explanation:
8x-1+6x+13=180 degree(being co interior angle)
14x=180-12
x=168/14
x=12
Please help?!?!
Thanjss
Answers
Answer:
Step-by-step explanation:
y= mx+ b helps you find the equations of the lines
y= x+2 is the line with slope m=1, and y-intercept b=2
y= -4x-3 is the line with slope m=-4, and y-intercept b=-3
y > x+2 because is a dotted line
y ≤ -4x-3 because is a solid line
Answer:
aha i see yo bbg
Step-by-step explanation:
(lipbite)
please help, I got 8 of these wrong already :(
Answers
Answer:
●{22,28,35} ○{5,12,13}○{25,70,74} ○{48,56,73}Find the area of a circle with the radius of 73 feet
Answers
Answer:
Step-by-step explanation:
area of a circle=πr^2
=3.14*(73)^2
=3.14*5329
=16733.06 ft^2
Answer:
A = 5329 pi ft^2
If we approximate pi with 3.14
A = 3.14*5329=16733.06 ft^2
If we use the pi button
A =16741.54725 ft^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 73
A = pi ( 73) ^2
A = 5329 pi ft^2
If we approximate pi with 3.14
A = 3.14*5329=16733.06 ft^2
If we use the pi button
A =16741.54725 ft^2
PLEASE HELP DUE IN 5 MINUTES!! NO LINKS! HELP WITH THE FIRST ONE ONLY!
Answers
Answer:
PR=130, MPR=180, MRT=180, MT=130 HOPE THIS HELPED
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLYIST!!!!!
Find the area of each figure.
Answers
Answer:
area of triangle=base*height/2
=4*5/2
=20/2
=10m^2
Step-by-step explanation:
Find the volume of the cylinder when its height is 13 ft, and its radius is 12
ft. Round to the nearest tenth."
Answers
V = pi * r^2 * h
= 3.14 * 12^2 * 13
= 3.14* 144 * 13
= 5878.08
Karen can make 14 cakes in 6 hours. how many cakes can she make in 15 hours?
Answers
Answer: 35 cupcakes!
Step-by-step explanation:
hmm need help please
Answers
Answer:
Hello! answer: b = 5
Step-by-step explanation:
13 × 13 = 169 12 × 12 = 144 169 - 144 = 25 5 × 5 = 25 therefore b = 5 hope that helps!
13x13=169
169-144=25
5^2= 25
B=5 feet
Use the given area A of the rectangle to find the value of x . A rectangle with its length labeled left-parenthesis 4 x plus 3 right-parenthesis feet and width labeled left-parenthesis 4 x minus 5 right-parenthesis feet. The area of the rectangle is 209 square feet.
Answers
Answer:
x = 4
Step-by-step explanation:
Length = (4x + 3) feet
Width = (4x - 5 )feet
Area = Length x Breadth
209 = (4x + 3)(4x - 5)
209 = 4x( 4x -5) + 3 (4x -5)
[tex]209 = 16x^2 -20x +12x -15\\\\0 = 16x^2 -8x -15 -209\\\\16x^2 -8x -224 = 0[/tex]
[tex]Quadratic \ Equation \ with a = 16, b = -8, c = -224 \\\\x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\Substitute \ a, b, c \ in \ the \ equation.\\\\x = \frac{-b + \sqrt{b^2 -4ac}}{2a}, x =\frac{-b \ - \sqrt{b^2 -4ac}}{2a}\\\\x = \frac{8+ \sqrt{64 +14336}}{32}, x = \frac{8- \sqrt{64 +14336}}{32}\\\\x = \frac{8+ \sqrt{14400}}{32}, x = \frac{8-\sqrt{14400}}{32}\\\\x = \frac{8+120 }{32}, x= \frac{8-120}{32}\\\\x = \frac{128}{32} , x = \frac{-112}{32}\\\\x = 4 , x = \frac{-7}{2}[/tex]
Since measure of length or width cannot be negative, we take x = 4
Suppose you have budgeted for 3 expenditures, $100, $150 and $50. However the amount that you have spent is $95, $175 and $20. Did you spend more or less than what was budgeted? By how much? (Show Your Work)
Answers
Answer:
Spent less than budget by $10
Step-by-step explanation:
→ Work out total budget
100 + 150 + 50 = 300
→ Work out total expenditure
95 + 175 + 20 = 290
For the equation y = 2x2 − 5x + 18, choose the correct application of the quadratic formula.
Answers
help mee please its math
Answers
Answer:
m<D = 34
Step-by-step explanation:
Exterior angles thm:
3x - 2 + 68 = 9x - 6
3x + 66 = 9x - 6
3x - 9x = -6 - 66
-6x = -72
x = 12
<D:
3x - 2
3(12) - 2
36 - 2
34
What is the common denominator of 1/a+1/b in the complex fraction ((1/a-1/b)/(1/a+1/b)? A^2b^2 a-b a+b ab
Answers
Answer:
D. abStep-by-step explanation:
1/a + 1/b = b / ab + a / ab = (b + a) / abThe common denominator is ab
Correct choice is D
Answer:D
Step-by-step explanation:
Assume the selling price of your house calculate the
commission amount of your house if the commission rate
is 5•/•
Answers
Answer:
$14000
Step-by-step explanation:
Given that :
Commission 5% of sale price
Sale price of house = $280,000
Commission = 5% of $280,000
Hence,
Commission = 0.05 * $280,000
Commission = $14,000