![Find The Average Rate Of Change Of Over The Interval (0,9 ]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/5liJxvl2ycvOtPHKNCaJ8YVvhbk6WT6V.png)
Answers
Answer:
3. 10/9
4. 34
Step-by-step explanation:
The average rate of change of f(x) over the interval a ≤ x ≤ b is:
[tex]\sf \dfrac{f(b)-f(a)}{b-a}[/tex]
Problem 3
Given interval: 0 ≤ x ≤ 9
From inspection of the graph:
f(0) = -7f(9) = 3[tex]\sf average \ rate \ of \ change=\dfrac{f(9)-f(0)}{9-0}=\dfrac{3-(-7)}{9}=\dfrac{10}{9}[/tex]
Problem 4
Given:
function f(x) = x³ - 9xinterval: 1 ≤ x ≤ 6⇒ f(1) = (1)³ - 9(1) = -8
⇒ f(6) = (6)³ - 9(6) = 162
[tex]\sf average \ rate \ of \ change=\dfrac{f(6)-f(1)}{6-1}=\dfrac{162-(-8)}{5}=34[/tex]
Related Questions
what is 3.1 converted into a simplified fraction?
Answers
Answer:
31/10
Step-by-step explanation:
Answer choices:
A: y=x
B: y=1/4x -2
C: y= -x + 7/4
D: y= 7/4x -2
Answers
Answer:
b: y=1/4x -2
Step-by-step explanation:
It says the answer in the question. the slope on the graph is really just 1 though.
what is the value of x
Answers
Answer: x=17
Step-by-step explanation:(6x+x+4x)+(10+17-34)=180
we know this because triangles always equal 180o so the 3 angles equa; 180 so 187/11 + 17
how many feet is the answer?
Answers
Answer:
The Inch To Feet Calculator is available online here for free at BYJU'S. One inch is equal to 0.083333 feet. One foot is equal to 12 inches.
Step-by-step explanation:
08.02 mc the function
Answers
Step-by-step explanation:
Question 2(Multiple Choice Worth 1 points)
(08.02 MC)
The function f(t) = 4t2 − 8t + 7 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).
f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 3 meters from the ground
f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground
f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground
whatever but please mark ma as BRAINLIEST answer please its a requestsIn the following diagram,
A
∥
B
.
Use complete sentences to explain how the special angles created by the intersection of
A
and
B
by
D
can be used to solve for
x
.
Solve for
x
, showing all of your work.
Find the measure of
∠
6
.
Answers
Answer:
x=24
<6=79°
Step-by-step explanation:
We can see that if we add 3x+7 and 4x+5, it will total a 180-degree angle. This allows us to solve for x. 3x+7+4x+5=180 7x+12=180 7x=180-12 7x=168 x=24 We can also see that angle six is the same as the angle 3x+7. Since we know x=24, we can solve for those angles. 3(24)+7= 72+7=79 So <6=79 degrees
huong spent $20.83 on a magazine and seven candy bars. If the magazine cost $4.94, then how much was each candy bar?
Answers
Answer:
$2.27
Step-by-step explanation:
Huong's expense is the sum of the cost of the magazine and the cost of 7 candy bars. If c represents the cost of a candy bar, then Huong's expense was ...
$4.94 +7c = $20.83
7c = $15.89 . . . . . . . . subtract 4.94
c = $2.27 . . . . . . . . divide by 7
Each candy bar was $2.27.
PLEASE HELP PLEASE HELP I WILL BRAINLIEST
Answers
Answer:
65°
Step-by-step explanation:
<JKL=90°
<KJM+<JKL+<JML=360°
77°+90°+128°+<JML=360°
<JML=65°
Twenty-five students were asked to rate—on a scale of 0 to 10—how important it is to reduce pollution. A rating of 0 means “not at all important” and a rating of 10 means “very important.” Here is a dot plot of their responses. Explain why a rating of 6 is not a good description of the center of this data set.
Answers
Considering the dot plot, we have that only 7 of the 25 measures are ratings of at most 6, that is, 6 is less than both the mean and the median of the distribution, hence it is not a good description of the center of this data set.
What is a dot plot?A dot plot is a graph shows the number of times each measure appears in the data-set.
From the plot given in this exercise, it is found that only 7 of the 25 measures are ratings of at most 6, that is, 6 is less than both the mean and the median of the distribution, hence it is not a good description of the center of this data set.
More can be learned about dot plots at https://brainly.com/question/24912483
the median value for this data set is
Answers
Answer:
275
Step-by-step explanation:
because it is in between 270 and 280
Sort all of the following triangle side lengths into if each set would form a right, acute, or obtuse triangle.
Answers
Answer:
acute, acute, obtuse*, right, obtuse
Step-by-step explanation:
The Pythagorean theorem is used as a reference for classifying triangles from their side lengths. If the sum of the squares of the short sides is equal to the square of the long side, then the triangle is a right triangle. If the long side is too short, then triangle is acute. If the long side is too long, the triangle is obtuse.
__
The math can be tedious, so it is convenient to let a spreadsheet do it. The results are attached.
The first two triangles are acute; the 4th one is a right triangle, and the remaining two are obtuse.
_____
Additional comment
* Note that triangle #3, with side lengths 2, 4, 6, is classified as "obtuse" because the largest angle is greater than 90°. In fact, with those side lengths, the largest angle is 180°. Some would argue it isn't a triangle at all because its area is 0 and it looks like a line segment.
(Our spreadsheet doesn't care if the triangle inequality is not satisifed. It is only concerned with the Pythagorean theorem.)
If the whale drawing is 5 cm long, find the scale for the drawing.
Answers
Answer:
Scale (and/or) Scale Factor = 91.44
Step-by-step explanation:
First convert 15ft to cm
15ft = 457.2cm
Now divide the real whale size by the drawing
457.2 / 5 = 91.44
So the scale is 91.44
The whale is 91.44 times bigger than the drawing
can someone please help me
Answers
Answer:
1.6
Step-by-step explanation:
There are 5 points from -1 to -2 if you count by 0.2 then you get 0.6 put that with the numbers on the line and you get 1.6
Towns Kand L are shown on a map.
N
a) Work out the actual distance
between towns Kand L.
b) A third town, M, is 150 km due
South of town K.
Mark M on the map with X.
c) Measure the bearing of town L
from town K.
Scale: 1 cm represents 50 km
Answers
A picture frame measures 18 cm by 20 cm on the outside, and 168 cm?
of picture shows.
Find the width of the frame around the picture.
The width of the frame is
cm.
Answers
Answer:
hello
( 20 - 2 x ) ( 18 - 2 x )
= 360 - 40 x - 36 x + 4 x²
= 4 x² - 76 x + 360
Step-by-step explanation:
You were elected the student council president for the next year at your school. After vacation is over, you have to plan a school carnival for the new school year. You are studying last year’s event and know that 210 people attended last year’s school carnival. The total amount of money collected for tickets was $710. Prices were $5 for regular admission, $3 for students, and $1 for children. The number of regular tickets sold was 10 more than twice the number of children’s tickets sold. Determine how many of each kind of ticket were sold.
Answers
The number of regular tickets are 70, the number of student tickets are 110 and the number of children tickets are 30.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, you are studying last year’s event and know that 210 people attended last year’s school carnival.
The number of regular tickets sold was 10 more than twice the number of children’s tickets sold.
Let the number of children tickets be x.
Then, number of regular tickets be 2x+10
Let the number of student tickets be y.
You are studying last year’s event and know that 210 people attended last year’s school carnival.
x+2x+10+y=210
3x+y=200 --------(I)
The total amount of money collected for tickets was $710.
Now, 5(2x+10)+3y+x=710
10x+50+3y+x=710
11x+3y=660 --------(II)
Substitute y=200-3x in equation (II), we get
11x+3(200-3x)=660
11x+600-9x=660
2x=60
x=30
Substitute x=30 in equation (I), we get
3(30)+y=200
y=110
Number of regular tickets =2x+10
= 70
Therefore, the number of regular tickets are 70, the number of student tickets are 110 and the number of children tickets are 30.
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
#SPJ2
The area of a rectangular piece of metal is 1,984 square centimeters. The perimeter is 188 centimeters. What are the dimensions of the piece?
Answers
Answer:
There are 2 options:
x = 32 cm and y = 62 cmx = 62 cm and y = 32 cmStep-by-step explanation:
That's a rectangular piece, therefore let's consider the width to be x and the length to be y.
A = width * length
1) A = x * y = 1,984 cm^2
P = 2 * (width) + 2 * (length)
2) P = 2x + 2y = 188 cm
Isolate x or y in one of the equations.
xy = 1,984 cm^2
y = 1,984 cm^2 / x
Now plug it in the second equation.
2x + 2y = 188 cm
2x + 2 * (1,984 / x) = 188
Now we have only one variable. Now just solve it alegebraically.
2x + (3,968 / x) = 188
Multiply both sides by x in order to get rid of the fraction.
[tex]2x^{2}[/tex] + 3968 = 188 x
Substract both sides by 188 x
2x^2 + 3968 - 188x = 0
Now divide by 2 to make the equation simpler.
x^2 - 94x + 1984 = 0
use the quadratic formula:
[tex]\frac{94 + \sqrt{(-94)^2 - 4(1)(1984)} }{2(1)} = 62\\\frac{94 - \sqrt{(-94)^2 - 4(1)(1984)} }{2(1)} = 32[/tex]
[tex]x1 = \frac{-b + \sqrt{b^2 - 4ac} }{2a} \\x2 = \frac{-b - \sqrt{b^2 - 4ac} }{2a}[/tex]
x is either 62 or 32.
let's find y:
y = 1,984 / x
y = 1,984 / 62 = 32
y = 1,984 / 32 = 62
There are 2 options:
x = 32 cm and y = 62 cmx = 62 cm and y = 32 cm
y²=(x-y)(x²+y) find the derivative
Answers
Answer:
0
Step-by-step explanation:
The diagram shows two straight lines. Both lines intersect at point A. У y = 4x A х A y = -2 Identify the coordinates of point A. (3-2) (-2,-5) , -8 (-2,2) () (2-2 ) A B D
Answers
Answer:
Point [tex]A[/tex] is at [tex](-1/2,\, -2)[/tex].
Step-by-step explanation:
The intersection [tex](x,\, y)[/tex] of two lines in a plane could be found by solving a linear system of two unknowns ([tex]x[/tex] and [tex]y[/tex]) and two equations (one for each line.)
In this question, the equation of the two lines are [tex]y = 4\, x[/tex] and [tex]y = -2[/tex], respectively. The corresponding system of equations would be:
[tex]\left\lbrace \begin{aligned} & y = 4\, x \\ & y = -2\end{aligned} \right.[/tex].
Solve this system for [tex]x[/tex] and [tex]y[/tex]:
[tex]y = (-2)[/tex].Substitute [tex]y = (-2)[/tex] into the first equation and solve for [tex]x\![/tex]: [tex]x = (-1/2)[/tex].Therefore:
[tex]\left\lbrace \begin{aligned} & x = -\frac{1}{2} \\ & y = -2\end{aligned} \right.[/tex].
Thus, the coordinates of this intersection [tex](x,\, y)[/tex] would be [tex](-1/2,\, -2)[/tex].
Evaluate the algebraic expression 4y + x - w, when w = 12, x = 10, y = 5 and z = 9.
Answers
Answer:
Step-by-step explanation:
simply plug in the given values for the letter and do the math.
4(5) + 10 - 12 = 20+10-12 = 18.
Answer:
18
Step-by-step explanation:
w=12
x=10
y=5
z=9
4 (5)+10-12
20+10-12
BODMAS
addtition then subtraction
20+10=30
30-12
=18
Brainiest please
Consider the equation − 7 x − 6 y = − 18
Answers
Answer: The answer is simply O
Step-by-step explanation: In this algebraic problems is very common to find an answer like that since you step to step process is basically canceling out the terms. We make disappear X and Y because that’s gonna count as a 1 unit value so don’t write x and y. It’s only 0
Which of the following numbers is the sum of 82.545 and 128.580 written with the correct number of significant digits? A. 211.1225 B. 211.125 C. 211.13 D. 211.130
Answers
When we add 82.545 and 128.580 we get a total of 211.125, now the closest number to the answer is B. 211.125Addition of Numbers
Mathematical OperationsGiven Data
Number one = 82.545Number two = 128.580Apart from addition of numbers there are other mathematical operations we can perform on integer numbers like in our example above
they are
SubtractionMultiplicationDivisionModulus ---This will return the remainder of the numbers when dividedTotal Number = 82.545 + 128.580Total Number = 211.125
Learn more about Mathematical Operations of numbers here:https://brainly.com/question/10679598
Answer:
B
Step-by-step explanation:
Took the test, have a good day.
Draw a pair of perpendicular lines
Answers
Answer:
+
perpendicular lines are lines that meet at a 90 degree angle
Step-by-step explanation:
percent of students with brown eys
Answers
Answer:
between 55 to 79 percent
CAN SOMEONE PLS ANSWER THIS QUESTION FAST
I WILL MARK BRAINLIEST
Answers
Answer:
20%
Step-by-step explanation:
add up all the values, then do 9 (alex's score) and divide it by 45 (total that was added up)
Answer:
A. 9
Step-by-step explanation:
Add all basketball shots then divide by 5
Mt. Everest, the tallest mountain in the world, is 29,029 ft tall. K2, the world’s second tallest mountain is 28,251 ft tall. How much taller is Mt. Everest than K2?
Answers
Answer:
778ft
Step-by-step explanation:
what is the area of the triangle
Answers
Answer:
Use this to answer your question :)
Step-by-step explanation:
The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.
Answer:
54 units²
Step-by-step explanation:
Formula we use,
→ Area = ½ × b × h
Now the area of the triangle is,
→ ½ × b × h
→ ½ × 18 × 6
→ 9 × 6
→ 54 units²
Hence, the area is 54 units².
Need help with these geometric questions
Answers
Check the picture below.
a)
notice, since lines KP and NL are parallel, they make up the same angle in purple when they hit line MK, and both triangles share the green angle at M.
b)
notice, LP = LK = 14, and in an isosceles twin sides stemming from a vertex make twin angles.
Complete the table by filling in the elapsed tine.
Help pls
Answers
Answer:
RADIUS
==================================
PROBLEM
Mary’s bicycle wheel has a circumference of 226.08 cm². What is its radius?
SOLUTION
We can solve this problem using the circumference formula in which π stands for ( 3.14 ), C stands for circumference itself and r stands for radius.
\bold{Formula \: || \: C = 2πr}Formula∣∣C=2πr
\tt{226.08 = 2(3.14) r}226.08=2(3.14)r
'Now to find the radius,Substitute 226.08 for c which is circumference in the formula.
\begin{gathered} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{C = 2πr} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{226.08 = 2(3.14)\red{r}} \\ \\ \: \: \: \: \: \: \: \: \large \tt{ \frac{226.08}{6.28} = \cancel\frac{6.28 \red{r}}{6.28} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt\green{C = 36}}\end{gathered}
C=2πr
226.08=2(3.14)r
6.28
226.08
=
6.28
6.28r
C=36
To check:
\begin{gathered} \small\begin{array}{|c|}\hline \bold{circumference }\\ \\ \tt{C = 2πr} \\ \tt{C = 2(3.14) (36\:cm) } \\ \tt{C = 2(113.04\:cm) } \\ \underline{\tt \green{C = 226.08\:cm }} \\ \hline \end{array} \end{gathered}
circumference
C=2πr
C=2(3.14)(36cm)
C=2(113.04cm)
C=226.08cm
FINAL ANSWER
If Mary's Bicycle has a circumference of 226.08 cm then the radius is 36.
\boxed{ \tt \red{r = 36}}
r=36
==================================
#CarryOnLearning
Answer:
1 = 0.56
2 = 0.43
3 = 0.55
4 = 0.49
5 = 0.70
Step-by-step explanation:
I not sure
1. There are 1,200 students at Woodland Hills Elementary. Approximately 600 of
the students take the bus home. 50% of the students that do not take the bus
ride their bicycles home. Approximately how many students ride their bicycles
home?
A 100
B 200
С 300
D 400
E 500
Answers
1,200 divide by 600 = 2 students
2 students multiply by 50% is 100 students.
So, approximately 100 students ride their bicycles home.
(If not correctly, I am truly sorry)