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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what is Midsegment of a Triangle Theorem
Answer: The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.
Step-by-step explanation:
A thin human hair is about 1.7 x 1- to the power of -5 meter in diameter. write this measurement in standard notation.
Answer:
Nut
Step-by-step explanation:
nut
Solve for x.
28
42
16
x
what is the product of 50x0.08 M
Answer:
4
Step-by-step explanation:
What is 65% written as a decimal?
A. 0.065
B. 0.65
C. 6.5
D. 65
Answer:
b.0.65
Step-by-step explanation:
i think it is I'm sorry if it's not
Answer:
b. 0.65
Step-by-step explanation:
How do I find the z score that separates the middle 37% of the distribution from the area in the tails of the standard normal distribution
Step-by-step explanation:
I hope this answer is Wright
A soccer player practices kicking the ball into the goal from halfway down the soccer field. The time it takes for the ball to get to the goal from the time it is kicked averages about three seconds. The soccer field is 90 meters long. The player wants to know the average velocity of the ball.
Is there enough information to calculate this?
A: No, only average speed can be calculated from the distance of 90 meters and the time of three seconds.
B: No, only average speed can be calculated from the distance of 45 meters and the time of three seconds.
C: Yes, displacement is 45 meters, elapsed time is three seconds, and the direction is toward the goal.
D: Yes, displacement is 90 meters, elapsed time is three seconds, and the direction is toward the goal.
Answer: D
Step-by-step explanation:
the distance is 90m and the time is max 3 to goal so the answer is D
What is the greatest common factor of 21, 35, and 49?
Answer:
GCF = 7
hope this helps
Answer:
:)
Step-by-step explanation:
21 = 3 • 7, 35 = 5 • 7, 49 = 72
go add the snap carmel.bratz
Which equation represents the unit fraction shown in the diagram? A grid model with 100 squares. 20 squares are shaded.
Answer:
20 over 100 = 1 over 5
Step-by-step explanation:
solve by substitution
y = -21 – 4x
8x + 8y = -24
You can use a calculator if you want :)
Answer:
A. -0.02
Step-by-step explanation:
-[tex]\frac{5}{25}[/tex]=-[tex]\frac{1}{5}[/tex]
1/5 is 20%
-1/5 is -20%
-.02% is greater because it's closer to zero
what is 385/6 as a proper fraction
Answer:233/6
Step-by-step explanation:
385/6=233
What is the discriminant of the equation 3x^2-4=2x
Given equation : 3x² - 4 = 2x
We have to find discriminant of the equation [tex].[/tex]
⭆ 3x² - 4 = 2x
⭆ 3x² - 2x - 4 = 0
By comparing this equation with ax²+bx+c, we get
a = 3b = -2c = -4Discriminant (D) = b² - 4ac
⭆ D = (-2)² - 4(3)(-4)
⭆ D = 4 + 48
⭆ D = 52
Hope It Helps!( 4.5 x 10 ⁴ ) ÷ (300) =
Answer:150
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
60000/23/35767755x100000=? whats he answer?
Answer:7.293428542
Step-by-step explanation:Calulator :D
Five notebooks cost $20 at this rate how much would 4 notebooks coat?
Answer:
$16
Step-by-step explanation:
if 5=20 then 20÷5=4 and 4x4=16
Answer:
16
Step-by-step explanation:
$20/5notebooks=$4 each
4$*4notebooks=16$
Boleslaw: How many yards for 8 uniforms?
One uniform equals 12 yards, so multiply 8x12 and you get 96 yards.
i need help this is timed i will mark u as brainliest.
Answer:
-8
Step-by-step explanation:
np
Answer:
I'm not very sure but it might be 12.
I'm very sorry if this is incorrect and I am going to vote myself 2 stars so you see this last
i-i dont deserve these points
Demarcus wants at least $18 to buy a
shirt. He already has $4. Write
the inequality that could be used to find
how much more money, m, Demarcus
needs?
Answer:
18= 4+ x
Step-by-step explanation:
What is the perimeter of the rectangle?
5 feet
6 feet
12 feet
X 36 feet
Answer: I think the answer is b
Step-by-step explanation:
Which of the following is expanded form of ( x-5)2
Answer:
2x -10
Step-by-step explanation:
(x-5)2=
use 2 to multiply the bracket (x-5)
that is 2x-10
A certain shade of pink us created by adding 3 cups of red paint to 7 cups of white paint
Answer:
A certain shade of pink us created by adding 3 cups of red paint to 7 cups of white paint
Step-by-step explanation:
Constant of proportionality is the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.
To make color pink,
for every 3 cups of red , we need 7 cups of white.
Let 'r' be the cups of red required
let 'w' be the cups of white required
so , as per the question
for 3 r we need = 7 w
r = 7/3 w
so, 7/3 is constant of proportionality
Jake and Logan are partners in business. Jake makes $2in profit for $5 that Logan makes. if Logan makes $20 profit on the first item they sell, how much profit does jake make
Answer:
Jake will make 8$
Step-by-step explanation:
20/5=4
4x2=8
a faucet is leaking at a constant rate of 6/10 of a gallon of water in 3/4 of an hour. how much water leaks in 1 hour?
Answer:
0.8
Step-by-step explanation:
6/10=0.6
0.6/3=0.2
0.2*4=0.8
I hope it's correct
Solve the inequality.
negative 2 times left parenthesis 6 plus s right parenthesis is greater than or equal to negative 15 minus 2 s
What is the slope of a line that contains the points (-6 , 1) and (4 , -4)?
Answer:
-1/2
Step-by-step explanation:
For this question we use the slope formula: [tex]m = (y_{1} - y_{2})/(x_{1}-x_{2})[/tex]
chug and plug: m = (1 - (-4))/(-6-4)
m = -0.5 or [tex]-\frac{1}{2}[/tex]
The slope of a straight line passing through the points (-6 , 1) and (4 , -4) is -1/2.
What is Slope of a straight line?The slope of a straight line measures the rate of change of variable 'y' with respect to independent variable 'x'. Mathematically -
m = (y₂ - y₁)/(x₂ - x₁)
Given is a line that passes through the points (-6 , 1) and (4 , -4).
The slope of a straight line passing through two points is given by -
m = (y₂ - y₁)/(x₂ - x₁)
The coordinates given are (-6 , 1) and (4 , -4).
Substituting them in the formula, we get -
m = (- 4 - 1)/(4 + 6)
m = (- 5)/(10)
m = -1/2
m = -1/2
Therefore, the slope of a straight line passing through the Points (-6 , 1) and (4 , -4) is -1/2.
To solve more questions on Straight lines, visit the link below-
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−6.5(n−5)=18.2 what is the value of n?
Answer: The value of n is 2.2
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Hold up i know the answer.
Step-by-step explanation:
Sunshine City was designed to attract retired people. Its current population of 75,000 residents has a mean age of 63 years and a standard deviation of 17 years. The distribution of ages is skewed to the left. A random sample of 250 residents of the city had a mean of 61.4 and a standard deviation of 19. Show work for any necessary calculations. (6 pts) a) Identify the variable of interest. b) Describe the center and spread of the population of Sunshine City. c) Describe the center and spread of the random sample of Sunshine City residents taken. What shape does it probably have
Answer:
a) Identify the variable of interest.
Ages of the residents
b) Describe the center and spread of the population of Sunshine City.
Center of the population of Sunshine city = 63 years
Spread of the Population of Sunshine city = 17 years
c) Describe the center and spread of the random sample of Sunshine City
residents taken.
Center of the random sample of Sunshine city = 61.4 years
Spread of the random sample of Sunshine city = 19 years
What shape does it probably have:
It has a skewed(left) shape
Step-by-step explanation:
a) Identify the variable of interest.
Ages of the residents
The center of a distribution tells us about the Mean or Median of the distribution
The spread of a distribution tells us about the standard deviation of the population
b) Describe the center and spread of the population of Sunshine City.
Center of the population of Sunshine city = Mean of the population of Sunshine city = 63 years
Spread of the Population of Sunshine city = Standard Deviation of the population = 17 years
c) Describe the center and spread of the random sample of Sunshine City
residents taken.
Center of the random sample of Sunshine city = 61.4 years
Spread of the random sample of Sunshine city = 19 years
What shape does it probably have:
It has a skewed(left) shape
This is because the mean is farther out to the left side of the tail of the distribution.
If f(x) = 4x +4, g(x) = – 2x2 - 4x + 5, and h(x)= - 8x2 + 7, find g(1).
Answer:
-1
Step-by-step explanation:
g(1) = -2*1^2 - 4*1 + 5