What must be true about the average rate of change between any two points on the graph of an increasing function?
Answer:
If a function is increasing, the average rate of change between any 2 points must be positive.
If we have an increasing function, the average rate of change between any two points must always be positive.
What must be true about the average rate of change?
For an increasing function f(x), we have that if:
b > a
Then:
f(b) > f(a).
Now, we define the average rate of change on an interval (a, b) as:
[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]
In this case, because:
b > a
f(b) > f(a)
Then:
b - a > 0
f(b) - f(a) > 0.
So both numerator and denominator are positive, which implies that the quotient must be positive.
Then, if we have an increasing function, the average rate of change between any two points must always be positive.
If you want to learn more about average rate of change, you can read:
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Solve.
(4b^2 + 4)12b^2 - 5)
The volume V of a pyramid is given by the formula V = Bh where B is the area of the base and h is the height
v = 216 cm
B - 36 cm
a. Solve the formula for h
b. Find the height of the pyramid
The height is
centimeters
Answer:
A. V/B=H B. The height, h, is 6 cm.
Step-by-step explanation:
A. Rearrange the formula V=Bh by dividing both sides by B to isolate h.
B. Plug in the Volume and Base into your rearranged formula to find the height. 216/36= h. h=6
a. The formula for height is h = V/B.
b. The height of the pyramid is 6 centimetres.
What is the total surface area of a given pyramid ?The total surface area of a pyramid is the surface area of the triangular sides in addition to the surface area of the triangular base.
According to the given question we have the volume of the pyramid which is 216 cm³ and base is also given which is 36 cm.
Given V = Bh
∴ h = V/B.
h = 216/36
h = 6 cm.
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what is 4/9 times what equals 12
Step-by-step explanation:
4/9A = 12
A = 12×9/4
= 27
......
Salazar is driving 70 miles per hour. At this rate, how long will it take for him to travel 840 miles?
Answer:
12 hours
Step-by-step explanation:
Step 1:
70 : 1 Ratio
Step 2:
70 : 1 = 840 : x Equation
Step 3:
840 = 70x Multiply
Step 4:
x = 840 ÷ 70 Divide
Answer:
12 hours
Hope This Helps :)
I need help please! this is on EDGE2020 !
Answer:
D
Step-by-step explanation
A. there are 6 triangles so not this
B. Only 2 rectangles
C. 6 triangles once again
D. everything matches
Answer:
for every 6 triangles there are 2 rectangles
Nathan received a package for his birthday the package wait $5,910,000 milligrams select the conversions that are equivalent to 5,910,000. Mark all that apply.
59,100 kilograms
59.1 centigrams
591,000 centigrams
5.91 kilograms
Answer:
5.91 kilograms
591,000 centigrams
Step-by-step explanation:
These two are WRONG:
59,100 kilograms
59.1 centigrams
598x 10 reminder of 3
Answer:
you wrote that a bit wrong
Step-by-step explanation:
What reference angle will you use to determine cos 480° ?
A.)30°
B.)45°
C.)60°
D.)0°
One analog clock loses 3 minutes every 2 hours and another analog clock gains 3 minutes every 4 hours. At noon, the owner sets the correct time on both clocks and leaves on a business trip. When he returns home in less than two weeks, the clocks show the same time. What time do the clocks show? PLEASE HELP ASAP
Answer:
12 noon
Step-by-step explanation:
Clock 1 loses 3 minutes every 2 hours. Now, 2 hours = 120 minutes.
This means, it has speed of 120 - 3 = 117 minutes for every 2 hours.
Thus, in 1 hours, it's speed = 117/2 = 58.5 min/hr
Clock 2 gains 3 minutes every 4 hours
Which means in an hour, it gains ; 4/3 minutes
Thus, it's speed an hour is; 60 + 4/3 = 61.333 min/hr
Now, When he returns home in less than two weeks, the clocks show the same time.
let's say the number of hours he was away is x. For the 2 clocks to show the same time, it means they have to show it by 12 noon at another day since it was at noon that he set the correct times before leaving.
Thus, they will both be showing 12 noon.
What is the mixed number form of 27/4 SOMEONE PLS HELP
Answer:
6 [tex]\frac{3}{4}[/tex]
Elias bought 7 new shirts for school.
Five shirts cost $60.90. He also bought
a pair of pants for $14.99. Without tax,
what is the total amount Elias spent?
Answer:
$100.25
Step-by-step explanation:
This question says that 5 shirts cost $60.90, so you would divide the two numbers to find out the price of 1 shirt
$60.90÷5=$12.18
Then you would just solve this equation
T=$12.18x+$14.99
T= Total Money Spent
x= Number of Shirts
Plug in the 7 shirts and solve
T=$12.18(7)+$14.99
T=$85.26+$14.99
T=$100.25
What is the mean score what is the median of the score brookewood medical center
Step-by-step explanation:
The mean of a set a score is simply the average score.
To find the mean, simply sum the individual scores and divide by the total number of scores;
Mean of a set of score = [tex]\frac{Total scores}{Number of scores}[/tex]
Another way to find the mean is using:
Mean = [tex]\frac{summation of all f(x)}{summation of all the frequency}[/tex]
Multiply the frequency of each score with the score and divide by the sum of all of the frequency.
2. The median is the middle score;
Arrange the data set from the lowest to the highest, the median is the one that falls in the middle.
If there are two numbers find their sum and divide by 2.
What is the square root of 36?
A.4
B.6
C.8
D.10
Answer:
B 6
Step-by-step explanation:
because 6x6 is 36
Answer:
6
Step-by-step explanation:
6×6=36 bdhdgsjsbdbd
a. -3x2 + 4x +5 for x =-2
Answer:
9
Step-by-step explanation:
2/10=g/20 in proportions
Answer
Step-by-step explanation:
10g = 40
g = 4
1x2x3x4x5 will make brainliest
Answer:
120
Step-by-step explanation:
I wrote down the equation on paper and solved it
The product of the given numbers is 120.
The given expression is 1×2×3×4×5.
Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Here, 1×2×3×4×5 = 120
Therefore, the product of the given numbers is 120.
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Which value of n makes this equation true?
3n + 3
5
5n– 1
9
OA.
n=-16
OB.
n=-2
O C.
n= 2
OD.
n = 16
Answer:
the answer is A. -16
Step-by-step explanation:
3(-16)+3= -45
-45/5=
-9
5(-16)-1=-81
-81/9=
-9
-9=-9
8
Kevin cycles past his mum who is sitting on a park bench. What is the relative speed
if Kevin is cycling at 20 km/h?
Include a unit in your answer.
Answer:
Kevin cycles past his mum who is sitting on a park bench. What is the relative speed if Kevin is cycling at 20 km/h?
Step-by-step explanation:
20 km/h
A bakery sells 3 muffins for every 5 pizza pies. The bakery sold a total of 24 muffins and pizza pies together. How many of each kind did the bakery sell?
6 muffins and 18 pizza pies
9 muffins and 15 pizza pies
15 muffins and 6 pizza pies
18 muffins and 6 pizza pies
Answer:
b
Step-by-step explanation:
9 muffins and 15 pizza pies. im pretty sure
The area base of this rectangular prism is 256 in2. What is the volume of the rectangular prism?
Step-by-step explanation:
volume of the rectangular prism is obtained from the following equation :
rectangular prism base area × rectangular prism height
so the volume is : 256 × h
Translate the following sentence into an algebraic inequality: The quotient of a number, x, and nine is less than eight more than the product of five and the same number x.
Answer:
x/9-8x+5x
Step-by-step explanation:
I can't help but to solve it:
x/9=9x
9x-8x+5x=6x
= 6x
Pls help me
8th grade math
Answer:
y-intercept = 7
Step-by-step explanation:
y intercept is where the line meets with the y axis which is the vertical axis.
hope this helped!
cómo se escribe el número 88,317
Answer:
ochenta y ocho mil trescientos diecisiete
Step-by-step explanation:
eighty-eight thousand three hundred seventeen
Answer:
80,000 + 8,000 + 300 + 10 + 7
eighty-eight thousand three hundred seventeen
Step-by-step explanation:
hola <3 espero que haya ayudado
Luisa wants to use place-value blocks to show 367+215. How many tens blocks will she need to show the sum by regrouping?
Answer:
She will need 58 tens blocks but there is a leftover amount of 2 so that would be 2 ones as well.
Step-by-step explanation:
357+215=582/10=58.2 (2 is the remander and thats how I got 2 ones as well)
Easy question for easy points
Answer:
50 berries left over
Step-by-step explanation:
55 berries 1700 berries
--------------- = -------------------
1 jar x jars
Using cross products
55x = 1700*1
Divide each side by 55
55x/55 = 1700/55
x = 1700/55
Changing to a mixed number
55 goes into 1700 30 times
30 *55 =16501700-1650 = 50
x = 30 50/55 = 30 10/11
There are 50 berries left over
Answer:
50 berries left over
Step-by-step explanation:
55 berries 1700 berries
--------------- = -------------------
1 jar x jars
Using cross products
55x = 1700*1
Divide each side by 55
55x/55 = 1700/55
x = 1700/55
Changing to a mixed number
55 goes into 1700 30 times
30 *55 =16501700-1650 = 50
x = 30 50/55 = 30 10/11
There are 50 berries left over
Step-by-step explanation:
BILL IS IN A CLASS OF 15 BOYS AND 35 GIRLS. 30% OF THE STUDENTS IN
THE CLASS TAKE THE BUS TO SCHOOL. HOW MANY STUDENTS DO NOT TAKE
THE BUS TO SCHOOL?
Step by step explanation plz I need to show my work!
Answer:
35
Step-by-step explanation:
15+35=50
50=total number of students
50*0.3 = 15
50 - 15 = 35
35 students do not take the bus to school
Simplify 5^2•5^4
A. 5•8
B. 5^8
C. 5^2
D. 5^6
Can someone help me answer this question :)
Answer:
Step-by-step explanation:
find the slope 1/2
then write it as y-4=1/2(x+6)
then u get y=1/2x+7
Answer:
Slope-intercept form: [tex]y = \frac{x}{2} + 7[/tex] Standard form: [tex]2y - x = 14[/tex]I hope this helps!
Find the value of x in the attached shape
Answer:
x = 110
Step-by-step explanation:
This shape is a heptagon. A heptagon's interior angles add up to 900 degrees. You can solve for x by finding the sum of all known values, and subtracting that sum from 900.
105 + 150 + 140 + 135 + 125 + 135 = 790
900 - 790 = 110
Answer:
it's the haptagon so it's sum of all sides is equall to900 degree
so first add the side accept x and subtract it with 900 degree
the answer will be 110 degre
hope it helps u