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2 years ago

Please help I don’t understand this.

Mathematics

1 answer:

tresset_1 [31]2 years ago

3 0

The average rate of change of g(x) over the interval [2, 8] is given by

(g (8) - g (2)) / (8 - 2)

In other words, it's the slope of the line through the points (2, g (2)) and (8, g (8)).

Use the definition of the function to evaluate it at the points in the numerator:

• 8 ≥ 4, so using the second piece, g (8) = -0.5(8) + 8 = 4

• 2 < 4, so g (2) = 5(2) + 1 = 11

Then the average rate of change is

(g (8) - g (2)) / (8 - 2) = (4 - 11) / 6 = -7/6

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Need help fast!!! Algebra question!!!

ddd [48]

AVERAGE between 90 and 100%
means not including 90 and 100% but not including 90 or 100%

average=(sum of values in set)/(how many values in the set)

so
4 exams, so there are 4 values
average=(sum)/4

the sum is the known+unknwon
sum=76+99+86+x

so
90<average and average <100
or
90<average<100

lets say average=a

a=sum/number
a=(76+99+86+x)/4

90<(76+99+86+x)/4<100
90<(76+99+86+x)/4 and (76+99+86+x)/4<100

solve each for x and find intersection

90<(76+99+86+x)/4
times 4 both sides
360<261+x
minus 261 both sides
99<x

(76+99+86+x)/4<100
times 4 both sides
261+x<400
minus 261 both sides
x<139

so

99<x<139
since max score is 100
99<x<100

interval notaion is
[99,100]

answer is 2nd one

3 0

3 years ago

Read 2 more answers

Cody's Gym charges a $15 fee to join and $30 per month. Tyler's Gym charges a $30 fee to join and $20 per month. Write an inequa

posledela

Answer:

After (3/2) months Tyler's gym would be a better deal.

Step-by-step explanation:

Let x the number of months

Cody's Gym charges a $15 fee to join and $30 per month

y₁= 15 + 30x (1)

Tyler's Gym charges a $30 fee to join and $20 per month

y₂ = 15 + 30x (2)

See the attached figure which represent the graph of y₁ (with blue color) and y₂ (with red color)

The point of intersection between y₁ and y₂ is ( 3/2 , 60)

After 3/2 months Tyler's Gym charges will be less than Cody's Gym charges

So, the inequality will be:

After (3/2) months Tyler's gym would be a better deal.

3 0

3 years ago

2 Which expression is equivalent to

love history [14]

The second option square root of 2^5

6 0

3 years ago

Read 2 more answers

Write an equation for the translation of y = |x|. 13 units down

olga55 [171]

The idea for transitions for an equation like this is
$y = m|x - h| + k$
where m = slope
h = how much left or right (note the negative)
k = how much up or down

moving 13 down would mean
k = -13

so
$y = |x| - 13$
D. would be your answer

7 0

3 years ago

Mr. Montes is writing a short, three-question, true or false quiz for his Algebra 2 classes. He had planned on using a random an

belka [17]

Answer:

There are 4 questions to answer here and the answers are given below:

1. COMBINATION

2. SET 2

3. {S2, S3, S4, S5}

4. { } OR ∅

Step-by-step explanation:

The key topics here are PERMUTATION & COMBINATION and SETS & VENN DIAGRAMS.

The assignment has 5 questions in all. The options for each question are listed below and separated by commas:

1. True, False

2. True, False

3. A, B, C, D

4. A, B, C, D

5. A, B, C, D

Mr. Montes derives his answers from a random answer generator; same way Amisha generated her answers by random selection.

QUESTION 1

If you want to find the odds that Amisha got at least 3/5 of the answers correctly, would you use a permutation or a combination?

ANSWER TO QUESTION 1

You would use a combination. Note that as much as 'permutation' is distinctly defined from 'combination', in many complex cases both are used to derive the solution. In this case though, a combination is used. For each of the 5 questions, there are a number of possible answers. Questions 1 and 2 have only two possible answers (also known as options) while questions 3, 4 and 5 have four possible answers/options to choose from. Amisha can only have one set of five answers; each to each question. So this is a combination! If you want to find the odds that Amisha got at least 3 of her 5 answers correct, you would use a combination of the various possible answers to check.

QUESTION 2

Find "Set 1 ∩ Set 2" and explain the notation in the sentence.

ANSWER TO QUESTION 2

First list out relevant information:

- The correct answers to questions 3, 4 and 5 are respectively C, B, A

- The universal set consists of five students: S1, S2, S3, S4, S5 hence

Ц = {S1, S2, S3, S4, S5}

Next, enlist the elements of each defined set

Set 1: {S1, S2, S3, S4, S5} Set 2: {S2, S3, S4} Set 3: {S4, S5}

Note: Set 1 is equal to the universal set.

Now this notation "∩" means "intersect". It requires an action - checking out which elements in one set also appear in a second set and then bringing those elements to form a new set.

In the case of this question, we're to find Set 1 intersect Set 2. The elements present in Set 1 and also present in Set 2 are {S2, S3, S4}.

If you look closely, you'll observe that these are the same elements in Set 2! This brings to remembrance, one of the laws of sets:

The intersect of any subset and the universal set (recall that Set 1 happens to be equal to or have the same elements as the universal set) is equal to that subset.

So the answer to question 2 is

Set 1 ∩ Set 2 = Set 2

QUESTION 3

Find "Set 2 ∪ Set 3" and explain the notation in the sentence.

ANSWER TO QUESTION 3

The notation ∪ represents "union". This is the act of putting together the elements in two sets, to form a new set. In this activity, if an element appears in both sets, it is only written once in the new set, not twice.

So, Set 2 union Set 3 = {S2, S3, S4, S5}

As earlier stated, Student 4 isn't appearing twice in the new set.

QUESTION 4

Find the ' of Set 1 and explain the notation in this sentence.

ANSWER TO QUESTION 4

The symbol ' means "complement of a set". Finding the complement of a set is like subtracting the elements of that set from the universal set.

Since Set 1 contains the same elements as the universal set, subtracting Set 1 from the universal set will give you nothing. In this case, the complement of Set 1 is a null set!

Set 1 ' Ц = { } or ∅

where the empty bracket symbol and the slashed zero symbol represent null set.

Kudos!

3 0

3 years ago