What is the average rate of change over the interval [0.75, 1.125]? Explain the meaning of the average rate of change.
![What Is The Average Rate Of Change Over The Interval [0.75, 1.125]? Explain The Meaning Of The Average](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/Tyo92R0A71o5a7mLmuSSJEXlzzJLRAo4.png)
Answers
Answer:
1) The average rte of change = 6
2) The average rate of change over an interval is the ratio of the total change in the determinate variable or function (values of the output of the function) to the change in the indeterminate variable (values of the input of the function)
Step-by-step explanation:
1) The average of change of the function is found as follows;
At x = 0.75, y = -0.5, at x = 1.125, y = 1.75
Therefore, the average rate of change = (1.75 - (-0.5))/(1.125 - 0.75) = 6
2) The average rate of change over an interval on a graph or of a curve is found by dividing the difference between the y-coordinate values of the two points on the graph by the difference of the x-coordinate values of the two points.
Related Questions
Equivalent expressions for 24x - 12
Answers
Answer:
(3x−4)(8x−3)
Step-by-step explanation:
30 x + 7 (3 - 4 x) =
Answers
Answer:
I'm a bit rusty. But try 58x +21
Hope I helped you.
PLEASE HELPPP WILL GIVE BRAINLIEST As the students were approaching the park, they noticed a huge tower that was just being completed. Lucas and Jacob were part of the group responsible for looking at advertising. They couldn't help but to think that one of the main attractions of the park would be the ride involving this tower. It was a bright, sunny day. As they got off the bus, they collected the mathematical materials provided by their teacher. These materials included: pencil, paper, eraser, calculator, measuring tape, a clinometer (a tool used to measure vertical angles). They walked through the park until they reached the shadow of the tower. They looked up and couldn't believe how high it was.
Explain how the height of the tower might be calculated from the materials they have, using similar triangles.
If they are going to advertise the height of the tower in a brochure that is being created, they want to be sure of their answer. Describe how they could use the materials they have and trigonometry to determine the height of the tower.
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Answer:
a) By multiplying the length of the shadow of the tower to the ratio of the height of the exposed pencil placed in the ground to the length of the pencil's shadow the height of the tower can be found
b) Height of the tower = Level to which the clinometer was raided + length of the shadow of the tower × tan (Angle of elevation of the top of the tower)
Step-by-step explanation:
a) The steps to measure the length of height of the tower using similar triangles are as follows;
Whereby the ground over which the tower is located is flat, place the pencil in the ground and ensure that it is upright and standing on its own
1) Measure the length of the shadow of the pencil
2) Measure the height of the exposed (above the ground) pencil
3) Find the ratio of the height of the exposed pencil to the length of the pencil's shadow
4) Measure the length of the shadow of the tower
5) Multiply the length of the shadow of the tower to the ratio of the height of the exposed pencil to the length of the pencil's shadow to find the height of the tower
b) To measure the height of the tower by trigonometry and the materials they have, we have;
1) Measure the length of the shadow of the tower using the measuring tape. Record the length as l
2) From the end of the length of the shadow of the tower, measure the angle of elevation of the top of the tower using the clinometer. Record the angle of elvation as θ
3) Measure the distance from the ground the clinometer was raised to measure the height of the shadow and record it as H₁
The height of the tower can then be found by the following formula;
Height of the tower, h = H₁+ length of the shadow of the tower × tan(θ)
h = H₁ + l × tan(θ)
Take the equation 103=-7(x+8)+7(x+7). Jamie says this equation has no solution. Mick says it does. Who is correct? Why?
Answers
[tex] 👋 [/tex] Hello ! ☺️
Step-by-step explanation:
[tex] 103 = - 7(x + 8) + 7(x + 7) [/tex]
[tex] 103 = - 7x - 56 + 7x + 49 = 0x + 7 [/tex]
0x= 7 => x ∉ |R
[tex]\boxed{\color{gold}{S = ∅}} [/tex]
Jamie is right.
* Any number multiplied by 0 gives 0.
A 3 L bottle of oil costs $36 and contains 12 cups. Dinesh puts 1 cup of oil, 10 garlic gloves and 1 cup of lemon juice in each batch of hummus recipe that he makes. Dinesh makes 5 batches of hummus. What is the total cost of oil that he uses in the 5 batches of his recipe?
Answers
Answer:
$15
Step-by-step explanation:
Let's start by figuring out how much 1 cup of oil costs.
12 cups of oil is 36$
Let's set up a proportion.
12/36=1/x
Cross Multiply
12x=36
Divide both sides by 12.
x=3
1 cup of oil is $3.
Dinesh makes 5 batches of hummus, and each batch requires 1 cup of oil.
5*1=5
This means he needs 5 cups of oil.
5*3=15
He used $15 worth of oil in the 5 batches of his recipe.
However, since it is impossible to buy 5/12 bottles of oil, he would have needed to spend $36.
what value of (m) makes this equation true
Answers
Answer:
-71
Step-by-step explanation:
(M+3)/4=-17
M+3=-17*4
M+3=-68
M=-68-3
M=-71
I NEED HELP FAST PLEASE
Answers
Please Give me Brainliest, Thank You
Anna can do a job in 4 days. After she has worked for 1 day, she is joined by Sylvia, and it takes them 2 days working together to finish the job. How long would it have taken Sylvia to do the whole job by herself?
Answers
Answer: 8 days.
Step-by-step explanation:
Given that Anna can do a job in 4 days. After she has worked for 1 day, she is joined by Sylvia, and it takes them 2 days working together to finish the job.
Since Anna has already worked for 1 day, she would have worked the remaining days for 3 days. But she is joined by Sylvia, and it takes them 2 days working together to finish the job.
That is,
1/3 + 1/S = 1/2
Where S is the number of days Sylvia to do the job being completed in 2 days.
1/S = 1/2 - 1/3
1/S = (3 - 2)/6
1/S = 1/6
S = 6
The job Anna would have done for 3 days, will take 6 days for Sylvia.
The 1 days used by Anna will be 2 days for Sylvia.
Therefore, the total days that will take Sylvia to do the whole job by herself will be 2 + 6 = 8 days
Anyone know how to do this?
Answers
Answer:
120, 68, 72, 36, 32, 41, 31 (Left to right, top to bottom)
Step-by-step explanation:
When looking at the tree, we start from left to right. That means the numbers on the left are larger and get smaller as we move to the right. The very first one on the left is 120 since there are 120 in the theater.
We know that 72 are female so we can put that in the lower bubble of the second column. From this information, we can find the # of males.
140-72=68. We can put 68 in the upper bubble of the second row.
We can first finish the male side with ice cream. We know 36 purchased ice cream which goes in the top bubble on the right. Now we subtract to find the remainder. 68-36=32. 32 goes right below 36
Now we go to the female side. 41 bought ice cream. This goes in the one 3rd down on the right. 72-41=31. 31 goes right below 41
Answer:
There are 120 people (both male and female)
48 male = 36 bought ice cream
12 without an ice cream
72 female = 41 bought ice cream
31 without ice cream
Hope it helps :>
The square of 1 3/4 is
Answers
Answer:
169/16
Step-by-step explanation:
13/4
what is a square at first
a square is the result of multiplying a number by itself
so the square of 13 will be 169
and the square of 4 will be 16
so easy...bingo
Explanation:
1 3/4 = 7/4
(7/4)^2 = 7^2/4^2 = 49/16
49/16 = 3 1/16
9.356, 9.543, 9.376, 10.459
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Arrange the terms in ascending order.
9.356 , 9.376 , 9.543 , 10.459
The mean of a set of numbers is the sum divided by the number of terms.
9.6835
Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
9.4595
what is used to draw and measure angle
Answers
Answer: measuring an angle can be done using a protractor and drawing an angle can be done with help of a scale and a compass or directly by a protractor
Step-by-step explanation:
Hope this helps you!!
Answer:
A protractor
Step-by-step explanation:
Just an easy answer!
The utility industry had 428.5 thousand jobs in 2010 and is expected to decline at an average rate of 3 thousand jobs per year from 2010 to 2020. Assuming this holds true, what will be the utility’s percent change from 2010 to 2020?
Answers
Answer:
Utility's percent Change from 2010 to 2020 = 7%
Step-by-step explanation:
Jobs available at the utility industry in 2010= 428.5 thousand
Average rate of decline = 3 thousand
Years between 2010 and 2020
Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100
Total change in jobs:
There are 10 years between 2010 and 2020
Jobs decline at an average of 3 thousand per year
Total change in jobs= 10 years × 3 thousand
= 30 thousand
Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100
= 30 thousand / 428.5 thousand × 100
= 0.07 × 100
= 7%
Utility's percent Change from 2010 to 2020 = 7%
1) what is the answer to 2^-2x2^-4
Answers
Answer:
[tex]\frac{1}{64}[/tex]
I hope this helps!
Answer:
1/64
Step-by-step explanation:
mentally calculated
no explanation
The shape of a dome can be modeled by the equation 2 h d =− + 2 100 where h is the height (in feet) of the dome from the floor d feet from its center. How far from the center of the dome is the height 50 feet?
Answers
Answer:
The distance from the centre of the dome is 2000 feet
Step-by-step explanation:
We have an equation representing the distance from the centre of the dome.
We can now make the subject of the formula.
d = 2100 -2(h)
We are asked to find the value of d when the value of h is = 50 feet.
To do this, we simply plug in the value for h into the equation and solve the equation.
d = 2100 - 2(50)
d = 2100 -100
d = 2000 feet.
Hence the distance from the centre of the dome is 2000 feet
Mr. Salazar assigns the same number of homework questions each school day. The ratio table below shows the total
number of homework questions assigned after a certain number of school days.
Homework
Number of days Total number of questions
5
40
8
64
11
88
14
?
After 14 days, how many total homework questions have been assigned?
102
112
152
192
yes
Answers
Answer:
112
Step-by-step explanation:
Everything is multiplied by 8
Answer:112
Step-by-step explanation:
Took quiz
how to find the 30th term in a sequence
Answers
Answer:
just use the formula
an=a+(n-1)dStephen and Aaron solved the same equation using two separate methods
Answers
BUT WHERE IS EQUATIONS. THEN HOW CAN I HELP YOU.???
equivelnt to 3(4h+2k)
Answers
Answer:
I would assume it would be 12h+6k
Answer:
Step-by-step explanation:
Use distributive property
a(b+c) = a*b + a*c
3(4h + 2k) = 3*4h + 3 *2k
= 12h + 6k
It costs Doug $30 to set up a cupcake stand. He charges $2 for every cupcake he sells. If Doug makes $48 of profit in one day, how many cupcakes does he sell? 14 cupcakes 24 cupcakes 12 cupcakes 39 cupcakes
Answers
Answer:
It is 39 cupcakes.
Since he charges $2 per cupcake (39), it is 78.
He makes profit so subtract 30 from 78 and you get $48.
Answer:
39
Step-by-step explanation:
f(x) =x^2 +4x-60 and g(x) =x-6, find (f•g) (x) and express the result in standard form
Answers
Answer:
[tex](f o g)(x) = f(g(x))\\ = f(x-6)\\ = (x-6)^{2} +4(x-6)-60\\ = x^{2} -12x+36+4x-24-60\\ = x^{2} -8x-48\\ = (x-12)(x+8)[/tex]
Step-by-step explanation:
how do i solve (−7z 4 )(7z)
Answers
Answer:
-49z^5
Step-by-step explanation:
(−7z^ 4 )(7z)
Multiply the numbers together
-7*7 = -49
Add the exponents
z^4 * z = z^4 * z^1 = z^(4+1) = z^5
Put back together
-49z^5
There are 65 children in a form 1. There are 15 more boys than girls. What is
the ratio of boys to girls, in its simplest form?
Answers
Answer:
8:5
Step-by-step explanation:
there are 25 girls, and 40 boys, so you find the common factor between them,which is 5 and divide each number by 5.
25/5=5 girls
40/5=8 boys
so the ratio of boys to girls is 8:5
Four students each wrote an equation. Which two students wrote equations that have no solution?
Answers
Answer:
Beto and Mark
Step-by-step explanation:
To know which of the equations written by the four students has no solution, let's try to solve each.
Beto's equation:
[tex] 3m = 3m + 5 [/tex]
[tex] 3m - 3m = 3m + 5 - 3m[/tex]
[tex] 0 = 5 [/tex] (This is incorrect. 0 ≠ 5. This is not a solution)
Lila's Equation:
[tex] 9r + 4 = 4 + 9r [/tex]
[tex] 9r + 4 - 9r = 4 + 9r - 9r [/tex]
[tex] 4 = 4 [/tex] (this is correct)
Mark's equation:
[tex] 6 - n = -n + 2 [/tex]
[tex] 6 - n + n = -n + 2 + n [/tex]
[tex] 6 = 2 [/tex] (incorrect. 6 ≠ 2)
Wanda's Equation:
[tex] 8u - 2 = 2u + 8 [/tex]
[tex] 8u - 2 + 2 = 2u + 8 + 2 [/tex]
[tex] 8u = 2u + 10 [/tex]
[tex] 8u - 2u = 2u + 10 - 2u [/tex]
[tex] 6u = 10 [/tex]
[tex] \frac{6u}{6} = \frac{10}{6} [/tex]
[tex] u = \frac{5}{3} [/tex]
If you plug in the value of u into the original equation, the equation would be balanced. Therefore, this is a solution.
Beto and Mark we equations that have no solution.
How many real number solutions does the quadratic below have? y=2x^2-10x+6
Answers
Answer:
2 real number solutions.
Step-by-step explanation:
You check the value of the discriminant b^2 - 4ac.
Here it = (-10)^2 - 4*2* 6)
= 100 - 48
= 52. (Positive)
This means that it has 2 real number solutions.
If the discriminant = 0 it has one real number solution and if negative it has no real number solutions.
Answer:
i think its 2 real number
Step-by-step explanation:
how do u solve for 16=17-t
Answers
Answer:
t = 1
Step-by-step explanation:
16=17-t
Subtract 17 from each side
16-17=17-17-t
-1 = -t
Multiply each side by -1
1 = t
Answer:
move 17 to the other side and subtract it from 16 leaving u with -1=-t and the divide it by -1 leaving you with t=1
Step-by-step explanation:
please help I need it urgently
Answers
Answer:
240m²
Step-by-step explanation:
1/2bh
1/2(16)(30)
240m²
Simplify (-5) ^3 125 -15 15 -125
Answers
Answer:
=−17265
Step-by-step explanation:
(−5)3(125)−1515−125
=−17265
Answer:
-125
Step-by-step explanation:
HAVE A GREAT DAY EVERYONE...find the measure of angle b
Answers
Answer:
119 degrees
Step-by-step explanation:
as the straight line has an angle of 180 degrees and we already know that a part of it is 61 degrees so we just subtract 61 from 180 and the answer we receive is 119
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs \$3.25$3.25dollar sign, 3, point, 25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most \$30$30dollar sign, 30 before tax. The restaurant only sells pancakes in stacks of 444 pancakes for \$5.50$5.50dollar sign, 5, point, 50. Let SSS represent the number of stacks of pancakes that Benjamin buys. 1) Which inequality describes this scenario?
Answers
Answer:
3.25+5.50S≤30
and he can aford 16 pancakes
Step-by-step explanation:
i got the question right
The inequality that describes the situation is of:
[tex]3.25 + 5.5S \leq 30[/tex]
------------------------
The first step in building the inequality is modelling Benjamin's spendings.He buys a chocolate milk that costs $3.25, plus S stacks of pancakes, each at $5.50. Thus, in total, his spendings are of:[tex]T = 3.25 + 5.5S[/tex]
He wants the bill to be of at most $30, that is, his spending has to be at most $30, thus:[tex]T \leq 30[/tex]
[tex]3.25 + 5.5S \leq 30[/tex]
Which is the inequality that models the situation.
A similar problem is given at https://brainly.com/question/17495861