What is the average rate of change of the function in the table at the interval x = -1 to x = 1?
Answers
Answer:
the answer is undefined
Step-by-step explanation:
If a function, f(x), is continuous (that is, has values for every x in the interval) from x=- 1 to x=1 ), then the average rate of change is:( total amount that f(x) changes ) / (total amount that x changes)( f(1) - f(-1) ) / ( (1) - (-1) )( f(1) - f(-1) ) / 2The variable x changes from (-1) to (1). That value is 2. [note: (1)-(-1) ]The function changes from f(-1) to f(1). You must determine f(1)-f(-1) and use that value as the numerator.Fill in the values to determine the average rate of change: ( f(1) - f(-1) ) / 2However, if the plot of y values is not a function, and there is some x value between -1 and 1 for which f(x) is undefined, then the rate of change of y from f(-1) to f(1) is also undefined.
Related Questions
A series of isosceles triangles are drawn between two red line segments.
a
= 22°.
Work out
x
, explaining each stage of your working in the comment box.
Answers
Based on the definition of isosceles triangle, the value of x in the given diagram is: 84°.
What is an Isosceles Triangle?An isosceles triangle has two base angles of equal length.
Given that, a = 22°, and using the information in the image attached below, we have the following:
m∠1 = a = 22° (base angles)
m∠2 = a + m∠1 = 22 + 22 = 44° (external angle theorem)
m∠3 = m∠2 =44° (base angles)
m∠4 = 180 - (180 - m∠2 - m∠3) - m∠1 = 180 - (180 - 44 - 44) - 22
m∠4 = 70°
m∠5 = m∠4 = 70° (base angles)
m∠6 = 180 - (180 - m∠5 - m∠4) - m∠3
m∠6 = 180 - (180 - 70 - 70) - 44
m∠6 = 96°
m∠7 = m∠6 = 96° (base angles)
x = 180 - m∠7
x = 180 - 96
x = 84°
Therefore, based on the definition of isosceles triangle, the value of x in the given diagram is: 84°.
Learn more about isosceles triangle on:
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i will give brainliest
Answers
Answer:
x =< 5
Step-by-step explanation:
We have to solve 2x + 3 <= 13
2x + 3 <= 13
=> 2x =< 13 - 3
=> 2x =< 10
=> x =< 5
Answer:
x > 8
Step-by-step explanation:
[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]
[tex]-2x+3-3 < -13-3[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-2x < -16[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
[tex]\left(-2x\right)\left(-1\right) > \left(-16\right)\left(-1\right)[/tex]
[tex]\;Simplify[/tex]
[tex]2x > 16[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2x}{2} > \frac{16}{2}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x > 8[/tex]
[RevyBreeze]
Consider this quadratic equation.
x + 2x + 7 = 21
The number of positive solutions to this equation is
The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is
Answers
Answer:
Rounded to the nearest hundredth, is X=4.67
Step-by-step explanation:
5 - (x + 5) > -2(x+4)
Answers
Answer:
5-(1+5)= -1
-2(1+4)=-10
Step-by-step explanation:
Answer:
x>16
Step-by-step explanation:
5-(x+5) cancels out to just x
If i use elmer's glue for my fake nails will they stay
im at school Help
Answers
Answer:
Yes, you can use school glue. PVA white/Elmer's glue will work just fine. What is the best nail strengthener? Just don't use nail strengthener, it almost does the opposite of what you want.
Answer:
well they will stay but not as long as nail glue.
I think
27. When can you say that the event is independent?
A. If the fact that A occurs does not affect the probability of B occurring.
B. If the fact that A occurs affect the probability of B occurring.
C. If the fact that events A and B can occur at the same time.
D. If the fact that events A and B cannot occur at the same time.
Answers
Answer:
A is the most appropriate answer.
Step-by-step explanation:
if the fact that A occurs does not affect the probability or possibility of B occurring.
one digit even prime numbers
a.finite b. infinite
Answers
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
hope this helps
i took this test
Every conditional has two parts. The part following "IF" is the ____ and the part following "THEN" is the ____.
Answers
Answer:
hypothesis is the answer for the fist blank
Step-by-step explanation:
The GCF of 12 and 28 is _____.
Answers
greatest common factor 12 and 28 is 4
The greatest common factor (GCF) of 12 and 28 is 4.
To find the GCF, you can determine the factors of both numbers and identify the greatest common factor they share.
As we know that a factor is a number that entirely divides another number.
To put it another way, any two integers that multiply to generate a result are factors of the result.
For 12, the factors are 1, 2, 3, 4, 6, and 12.
For 28, the factors are 1, 2, 4, 7, 14, and 28.
The common factors of 12 and 28 are 1, 2, and 4.
Among them, the greatest common factor is 4.
Therefore, the GCF of 12 and 28 is 4.
Learn more about the Greatest Common Factor here:
brainly.com/question/18905667
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In the game of Pick-A-Ball, there are 10 colored balls: 2 red, 4 white, and 4 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen. It is common in games of chance to be rewarded for obtaining unlikely results. For example, in the game of poker, hands that are less likely to occur tend to trump hands that are more likely to occur. That same concept applies in this game. It costs $10 to play Pick-A-Ball, and your prize is the reciprocal of the probability of obtaining your exact sequence of results, expressed in dollars. For example, if the probability of obtaining your exact sequence of results is 0.10, your prize is 1/0.10
Required:
What is the probability of selecting the color of ball that you just selected?
Answers
Answer:
The probability of selecting the color of ball that you just selected(a red ball) is [tex]P(r) = \frac{2}{10}[/tex]
Step-by-step explanation:
From the question we are told that
The total number of colored balls is n = 10
The number of red balls is r = 2 red
The number of white ball is w = 4
The number of blue balls is b = 4
The number of balls to be selected is N = 2 balls
The cost of playing picking a ball is c = $10
The winnings is [tex]k = \$ P(A)[/tex]
Here P(A) is the probability of obtaining the exact sequence of result and from the question it is P(A) = 0.10
Generally my price according to the question is
[tex]k = \frac{0.10 }{10}[/tex]
=> [tex]k = 0.01 [/tex]
Let assume we selected a red ball
Generally the probability of selecting a red ball is mathematically represented as
[tex]P(r) = \frac{2}{10}[/tex]
these numbers form an addition and subtraction fact family 6,7,13 choose the fact family formed by these numbers a 7+13=20 13+7=20 13-13=0 13-0=13 b 7+0=7 6+0=6 13-0=13 13-13=0 c 7+6=13 6+7=13 13-6=7 13-7=6 c 7+6=13 13=7+6 13-6=7 7=13-6 is it abc or d
Answers
Hannah has a bag that contains orange chews, lemon chews, and lime chews. She performs an experiment. Hannah randomly removes a chew from the bag, records the result, and returns the chew to the bag. Hannah performs the experiment 74 times. The results are shown below:
An orange chew was selected 39 times.
A lemon chew was selected 17 times.
A lime chew was selected 18 times.
Based on these results, express the probability that the next chew Hannah removes from the bag will be orange chew as a decimal to the nearest hundredth.
Answers
Based on these results, probability that the next chew Hannah removes from the bag will be orange chew is 0.53.
What is the probability of picking an orange chew?Probability determines how likely it is that event would occur. The probability that an event would occur lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
The probability of picking an orange chew = 39 / 74 = 0.53
To learn more about probability, please check: https://brainly.com/question/795909
7 Jamila has a large toy box and a small toy box The large box is 120 cm long and 90 cm high. Each length of the small box is one-sixth the length of the large box
Write the length and height of the small box. Show your working
LENGTH of small box: .......cm
HEIGHT of small box: ......cm
Answers
Answer:
length = 20 cm
height = 15 cm
Step-by-step explanation:
Large Toy Box
length = 120 cmheight = 90 cmGiven:
Each length of the small toy box is one sixth of the corresponding lengths of the large toy box.Therefore, to calculate the length and height of the small toy box, multiply the length and height of the large toy box by one sixth:
[tex]\sf length=120 \times \dfrac16=\dfrac{120 \times 1}{6}=\dfrac{120}{6}=20 \ cm[/tex]
[tex]\sf height=90 \times \dfrac16=\dfrac{90 \times 1}{6}=\dfrac{90}{6}=15 \ cm[/tex]
Therefore,
length = 20 cmheight = 15 cmAnswer:
length = 20 cm , height = 15 cm
Step-by-step explanation:
calculate [tex]\frac{1}{6}[/tex] of the dimensions by dividing the large box dimensions by 6
length of small box = 120 cm ÷ 6 = 20 cm
height of small box = 90 ÷ 6 = 15 cm
[tex]-(a+b)+a[/tex]
Its so hard please help me quickly
Answers
Answer:
-b
Step-by-step explanation:
❖ Step 1: Apply distributive property.
[tex](-1)(a) + (-1)(b)+a[/tex] [tex]-a-b+a[/tex]❖ Step 2: Combine like terms.
[tex](-a+a)+(-b)[/tex] [tex]-b[/tex]Therefore, the answer is -b.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Finding the surface area of a right triangular prism
Answers
Answer:
The formula that is used to calculate the surface area of a triangular prism is, Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh; where 'b' is the bottom edge of the base triangle, 'h' is the height of the base triangle, L is the length of the prism and S1, S2 and S3 ...
5kg of food is £45 jim buys 3kg how much does it cost
Answers
€27
Why
45/5=9
Meaning that for 1kg if food it’s €9
So
9*3=27
Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are
(4, –5), what are the coordinates of B'?
(2, 3)
(1, –9)
(–3, –4)
(6, –13)
Answers
Answer:
(6,-13)
Step-by-step explanation:
substitute x=4 and y=-5.
Therefore,
B(4, -5 ) → B(4+2,-5-8)
Simplify
B(4,-5) → (6,-13)
or you can do:
(4, -5) ⇒ (4+2, -5-8) = (6, -13)
Lenvy~
Answer:
(6, –13)
Step-by-step explanation:
The answer above is correct.
there are 36 pupils in mr. castro mathematics class mr. castro wants to seperate the class into equal group for doing an activity. what are the five diffrent ways that the teacher can do to the group he class?
Answers
Answer:
He can use the factors of 36 to determine the number of groups he can divide the class into such that they are equal.
The Factors (excluding 1) are;
2, 3, 4, 6, 9, 12, 18
Using these therefore he can divide them;
Into 3 groups each with 12 people.Into 4 groups each with 9 people.Into 6 groups each with 6 people. Into 9 groups each with 4 people. Into 12 groups each with 3 people.An internet company charges $12 per gigabyte of data plus a monthly service charge of $18. Last month, Niki's bill was $78. Write an equation to find how many gigabytes of data Niki used last month.
Let x represent the number of gigabytes of data Niki used.
Multiply the number of gigabytes by the cost per gigabyte. Add the service charge and set it equal to the price of the bill.
Answers
Answer:
12x+18=78
Step-by-step explanation:
12x+18=78
-18 -18
12x=60
x=5
Dave bowers collects u.s gold coins. He has a collection of 47 coins. Some are $10 coins, and the rest are $20 coins. If the face value of the coins is $670, how many of each denomination does he have?
Answers
670=10(a)+20(b)
47=a+b
a is amount of $10 coins=27
b is amount of $20 coins=20
A bus makes a stop at 2:30, letting off 13 people and letting on 4. The bus makes another stop ten minutes later to let off 2 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?
Answers
Answer:
The original number of passengers on the bus decreased by 10 after the second stop
Now, at 2:30:
15 passengers got off and 9 got on.
This means that:
number of passengers = x - 15 + 9
number of passengers = x -6
10 minutes later:
4 passengers got off the bus
This means that:
number of passengers = (x-6) - 4
number of passengers = x - 10
By comparing, we can note that:
The original number of passengers on the bus decreased by 10 after the second stop
3)
Solve the quadratic equation by taking square roots.
3x^2 – 8 = 12
Answers
Answer:
The answer is in the photo
Step-by-step explanation:
Use the discriminant to find what type of solutions the equation has,
3x^2+ 7x = 7
Answers
=
−
7
±
133
6
x=
6
−7±
133
Magan owns a small business selling bagels. He knows that in the last week 39
customers paid cash, 9 customers used a debit card, and 59 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with a
debit card as a fraction in simplest form.
Answers
Using it's concept, it is found that there is a [tex]p = \frac{9}{107}[/tex] probability that the next customer will pay with a debit card.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there were 39 + 9 + 59 = 107 purchases, of which 9 were paid with debid cards, hence:
[tex]p = \frac{9}{107}[/tex]
There is a [tex]p = \frac{9}{107}[/tex] probability that the next customer will pay with a debit card.
More can be learned about probabilities at https://brainly.com/question/14398287
Answer: 9/107
Step-by-step explanation:
Ordered pair for 3x + 5y = 2
9x + 11y = 14
Answers
Answer:
y = -3/5x +2 y = -9/11 + 14
Step-by-step explanation:
3x + 5y = 2(subtract 3x on both sides)
5y = -3x +2(divide by 5)
y = -3/5x + 2
9x + 11y = 14 (subtract 9x on both sides)
11y = -9x + 14 (divide by 11)
y = -9/11x + 14
Answer:
Step-by-step explanation:
-9x - 15y = -6
9x + 11y = 14
-4y = 8
y = -2
3x + 5(-2) = 2
3x - 10 = 2
3x = 12
x = 4
(4, -2)
which is the right one???
Answers
Ston:A
ep-by-step explnswer:
anati
I need the mathematical language pls
Answers
What is the domain of this graph
put in final form (only the awnser)
Answers
Rename the fraction 1/4 using the least common denominator,12
Answers
Answer:
3/12
Step-by-step explanation:
to rename the fraction with the common denominator of 12, u have to multiply 1/4 by 3/3 to get 3/12. You can check ur answer by simplifying your answer. 3/12=1/4
Answer:
3/12
Step-by-step explanation:
12÷4=3 so I would be 3/12
Explaining Equivalent equations
What are equivalent equations? How do you find them?
Write a few sentences describing them.
Answers
Answer:
Equivalent equations are equations that have exactly the same solution. To find equivalent equations, it is best to solve them individually to find the solutions. The ones with the same solution in the end are considered equivalent equations.
Answer:
Sample Response: Equivalent equations have the same solution. You can create equivalent equations by performing the same operations on each side of the equation. You can check for equivalence by finding the solution for each equation.
Step-by-step explanation: