The function y=f(x) is graphed below. Plot a line segment connecting the the points on f where x=5 and x=7. Use the line segment to determine the average rate of change of the function f(x) on the interval
Answer: average y = -8 average y =2
ARC : -4
Step-by-step explanation:
Average rate of change is the change in the function per unit in a given interval. The average rate of change from [tex]x = 5[/tex] to [tex]x = 7[/tex] is -4
Given
The graph of [tex]y = f(x)[/tex]
See attachment for the points on f(x) that links [tex]x = 5[/tex] to [tex]x = 7[/tex]
The line segment is represented by a green line
To determine the average rate of change using the line segment; we have the following values.
When [tex]x =5; y = 8[/tex]
When [tex]x =7; y = 0[/tex]
So, the average rate of change (m) is:
[tex]m = \frac{\Delta y}{\Delta x}[/tex]
Where:
[tex]\Delta y = y_2 - y_1[/tex]
[tex]\Delta y = 0-8[/tex]
[tex]\Delta y = -8[/tex]
[tex]\Delta x = x_2 - x_1[/tex]
[tex]\Delta x = 7 - 5[/tex]
[tex]\Delta x = 2[/tex]
So, we have:
[tex]m = \frac{\Delta y}{\Delta x}[/tex]
[tex]m = \frac{-8}{2}[/tex]
[tex]m = -4[/tex]
Hence, the average rate of change from [tex]x = 5[/tex] to [tex]x = 7[/tex] is -4
Read more about average rate of change at:
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Find the 81st term of the arithmetic sequence 24, 11, -2, ...24,11,−2,
Answer:
-1029
Step-by-step explanation:
24, 11, -2...
f(n) = 24 - 13n
f(81) = 24 - 13(81) = 24 - 1053 = -1029
The table shows the height of water in las pool as it is
being filled
Height of Water in a Pool
Time
(min)
2
4
6
8
10
Height
(in.)
8
12
16
20
24
The slope of the line through the points is 2. Which
statement describes how the slope relates to the height
of the water in the pool?
O The height of the water increases 2 inches per
minute
O The height of the water decreases 2 inches per
minute.
O The height of the water was 2 inches before any
water was added
The height of the water will be 2 inches when the
pool is filled
3. During a particular year, 42 graduating boys chose to attend a 4-year college,
while 58 boys attended a 2-year college; 84 girls chose a 4-year college, and 16
attended a 2-year college. What conclusion can be drawn about how gender and
choice of college are related?
Answer:
girls are more likely to choose a 4-year college, while boys are more likely to choose a 2-year college
Step-by-step explanation:
hope this helps :]
Wassup peeps!!! I need help cuz im kinda stupid.
A line that includes the points (10,–3) and (9,t) has a slope of –7. What is the value of t?
Pls, help me?
solve: -3 |x-3| = -6
how do i solve absoulute value ?
Answer:
x=5,1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
how do I find the factor of the trinomial
x²+x-20
Answer:
(x+5)(x-4)
Step-by-step explanation:
Answer:
(X-4) (X+5)
Step-by-step explanation:
look for 2 numbers that multiply to be -20 and adds up to be 1 which ould be -4 and 5
Check the photo. ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:
4/25
Step-by-step explanation:
Its 4/25 as a fraction
Andrea has $18 to spend. She spent $6.50, including tax, to buy a notebook. She needs to save $5.75, but she wants to buy a snack. If candy bars cost $1.15 per package including tax, what inequality would show the maximum number of packages that Andrea can buy? Solve your inequality by showing your work and steps. Please help
Answer: total cost of the stuff she buys ≤ 18 since she only has 18 dollars to buy stuff
Step-by-step explanation:
let's add up the cost of the stuff she buys:
- a flat cost of $6.50
- a savings of $5.75 (she's technically not spending money but we can count this as part of her expenses since it's taking away from the 18 dollars)
- some number (x) candy bars. if each candy bar costs $1.15 then the money she spends on candy bars is $1.15
with that being said:
6.50 + 5.75 + 1.15x ≤ 18
solve for x
since we are talking about whole # candy bars, if you get a decimal from this, round down to the nearest whole #
Answer:
Andrea can buy 5 candy bars.
Step-by-step explanation:
First to solve this we will subtract 6.50 from 18 because Andrea already spent that money. Then we must subtract 5.75 from 18 because Andrea can't spend that money. All the subtracting equals 5.75. After that we can divide the remaining money by 1.15 to see how many candy bars we can buy which equals 5. Finally the answer is that Andrea can buy 5 candy bars.
HEEEEEELP MEEEEEEE PLZZZZ WILL CHOOSE BRAINLIEST
Answer:
no jami can not mow 1 1/2 in 1 hour
Step-by-step explanation:
well 1/6 * 9 = 1.5
8 * 9 = 72
i would take her 1 hour and 12 minutes to mow
Determine the equation of the line given by the graph.
A) y = 3x + 2
B y = 3x - 2
C y-1/3x+2
D y=1/3x-2
The amount that Ronnie earns, E, in terms of the number of hours that he works, h, is shown in the graph below.
What is the constant of proportionality,
E/H, for this situation?
+/-
.
Answer:
Pay Rate = Constant of Proportionality = E/h
Step-by-step explanation:
Recall this formula: Total Pay = (Hourly Pay Rate)*(Number of Hours Worked)
Apparently there was a graph associated with this problem; it's up to you to share all instructions and other info that comes with your question.
Rewriting Total Pay = (Hourly Pay Rate)*(Number of Hours Worked), using E for total earnings and h for the number of hours worked, we get:
E = (Hourly Pay Rate)*h
The relevant constant of proportionality is found by dividing E by h:
Pay Rate = Constant of Proportionality = E/h
After some snacks at McDonalds at Lower Bonifacio Street, Kristina drove 145 meters towards the three-way junction and turns right to reach a nearby church around Rimando Road. If the displacement between the church and McDonalds is 191.442 meters, how far did Kristina travel from the three-way junction to the church?
Answer:
125 m
Step-by-step explanation:
The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.
By Pythagoras theorem
[tex]145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}[/tex]
Christina had to travel 125 m from the three-way junction to the church.
The distance Kristina travelled from the three-way junction to the church is; x = 125 meters
We are told that she drove 145 meters towards the three way junction. She now turned right to reach a nearby church around rimando road.
This means that if the distance at which she turned right is x, then x is perpendicular to 145 m.
Now, we are told that the displacement between the church and McDonalds is 191.442 meters.
The displacement means the distance from the final position to the initial position. Thus, there will form a right angled triangle with 191.442 as the hypotenuse.
Using Pythagoras theorem, we have;
x² + 145² = 191.442²
x² = 191.442² - 145²
x² = 15625.039364
x = √15625.039364
x = 125 meters
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Desde la parte más alta de un edificio a 25 m una persona lanza hacia la base un objeto de 150 g con una velocidad de 0.8 m por segundo calcula la energía mecanica total
Answer:
[tex] E_{T} = 36.84 J [/tex]
Step-by-step explanation:
La energía mecánica total está dada por:
[tex] E_{T} = E_{c} + E_{p} [/tex]
[tex] E_{T} = \frac{1}{2}mv^{2} + mgh [/tex]
En donde:
m: es la masa = 150 g
v: es la velocidad = 0.8 m/s
h: es la altura = 25 m
g: es la gravedad = 9.81 m/s²
[tex] E_{T} = \frac{1}{2}mv^{2} + mgh = \frac{1}{2}0.15 kg*(0.8 m/s)^{2} + 0.15 kg*9.81 m/s^{2}*25 m = 36.84 J [/tex]
Por lo tanto, la energía mecánica total es 36.84 J.
Espero que te sea de utilidad!
Which expression is equivalent to (xy)z?
A (x+y)+z
B 2z(xy)
C x(yz)
D x(y+z)
Answer:
c
Step-by-step explanation:
Answer:
It's C Aka x(yz)
Step-by-step explanation:
I Just Got A lOO% When I Put That As My Answer On My Quiz On Edge. :)
Mark and Heather Starr are celebrating their 25th anniversary by having a reception at a local reception hall. They have budgeted $2,500 for their reception. If the reception hall charges a $60 cleanup fee plus $39 per person, find the greatest number of people that they may invite and still stay within their budget.
Answer:
62 personsStep-by-step explanation:
Step one:
given data
total budget=$2500
we are told that the hall charges $60 for cleanup, the amount is a fix charge
and per person is $39
let the number of persons be x
The model for the situation is described by y=mx+c
Step two:
2500=39x+60
solve for x
2500-60=39x
2440=39x
divide both sides by 39 we have
x=2440/39
x=62.56
The greatest number of people that they may invite and still stay within their budget. is 62
LAST ONE I NEED HELP ON PLEASE
Answer:
A
Step-by-step explanation:
First you find the volume of the cube which is 512. Then you find the volume of the cone which is 133.97333333 and so on. Lastly you subtract 512 by 133.973333333 (and so on) which is 378.026667. Rounded the answer would be 378.0 which is answer A.
Plz mark brainliest!!! I spent lot of time on this.
calculeaza,grupand convenabil factori
8x7x0 3x7x2 5x8x2
7x4x2 5x10x5 4x9x2
2x9x5 10x9x9 2x3x7
Step-by-step explanation:
1. 0
2. 42
3. 80
4. 48
5. 250
6.64
7. 90
8. 180
9. 42
is that answer able?
Step-by-step explanation:
do you want the answer to those questions or is it just one question built in with those
Find the slope and the y-intercept of the line.
y = 8x - 1
Answer:
y = - 1
you basically replace with a 0 and multiply 8 and 0 which leaves you with y = -1
The solution to the system of equation below is (−2, −1).
2x − 3y = −1
11x − 9y = −13
When the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10.
Which system of equations will also have a solution of (−2, −1)?
5x = −10
11x − 9y = −13
2x + 9y = −1
11x − 9y = −13
−6x + 9y = −1
11x − 9y = −13
−6x + 3y = −1
5x = −10
Which system of equations will also have a solution of (−2, −1)?
Answer:
I'm pretty sure it's 5x= -10
Answer:
5x = −10
11x − 9y = −13
took test edg 2021
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.
When m2 = m6
1. AD BC
2. DC AB
3. none
Answer:
Its DC and AB
which situation can be represented by the expression -27 4/5+50?
Answer:
22.2
Step-by-step explanation:
Answer:
Answer A
Step-by-step explanation:
Below sea level = -x
Above sea level = x
Just read it carefully
PLSSS HELPPPPP MEEEE I WILLL GIVVVEEE BRAINLIESTTTT!!!!!!
PLSSS HELPPPPP MEEEE I WILLL GIVVVEEE BRAINLIESTTTT!!!!!!
PLSSS HELPPPPP MEEEE I WILLL GIVVVEEE BRAINLIESTTTT!!!!!!
Answer:
50
Step-by-step explanation:
5 times 5 =25
25 times 2 =50
Question 8 of 10
If a point is on the bisector of an angle, then it is:
A. on one side of the angle.
B. the vertex of the angle.
C. equidistant from the two sides of the angle.
D. equidistant from the bisector and one side of the angle.
Pls and thank you
Answer:
yr point is A
Step-by-step explanation:
If a point is on the bisector of an Angle , then it is equidistant from two sides .
The Meaning of Bisector is to divide something or anything into two equal Halves.
The Meaning of Bisector of any Angle means to divide that Angle into two equal Parts.
Option A
equidistant from the two sides of the angle.
i jst taken the quiz
Answer:
equidistant from the two sides of the angle.
Step-by-step explanation:
E=RIGHT FOR AP-EX
what is 5/2x-7=3/4x+14? help please
Answer:
x=12
Step-by-step explanation:
Molly bought 2 pounds of jelly beans for
$2.99. How much would 7 pounds of jelly
beans cost?
(Round your answer to the tenths place.)
Answer:
10.5
Step-by-step explanation:
2.99 divided by 2 = 1.495 x 7 = 10.465, rounded is 10.5.
simplify
4m+2mn+m^2+m+3m^2
Answer:
4m^2+ 5m +2mn
Step-by-step explanation:
The simplified value of 4m + 2mn + m² + m + 3m² is equal to 4m²+ 5m + 2mn.
The expression given is 4m + 2mn + m² + m + 3m².
We have to simplify the above expression.
What are the variables ?
A variable is a term which represents an unknown number or unknown value or unknown quantity.
As per the question ;
The expression given is 4m + 2mn + m² + m + 3m²
Let's simplify this by adding similar variables ;
4m , m are same variables
i.e., 4m + m = 5m
Similarly ,
m² and 3m² are same variables
i.e., m² + 3m² = 4m²
So ,
The value after simplification will be ;
4m + 2mn + m² + m + 3m²
= 4m²+ 5m + 2mn
Thus , simplified value of 4m + 2mn + m² + m + 3m² is equal to 4m²+ 5m + 2mn.
To learn more about variables click here ;
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IF SET A={2,5,6} AND SET B={4,7,8}. THE FOLLOWING SET ARE DISJOINTS FOR.plsss
A.
{4,7,8}
B.
EMPTY SET
C.
{2,5,6,7,4,8}
D.
{2,5,6}
Answer:
C - {2,5,6,7,4,8}
Step-by-step explanation:
It's just because these are the numbers that they don't have in common.
You from irv guessing from your username?
Answer:
Step-by-step explanation:fhh
What is the length of the unknown side?
Answer:
20！
Step-by-step explanation:
A 1-litermbottle of orange juice used to cost $2.85 at a food market. its price has increased; the new price is 110 percent of the original price. What is the new price? Round your answer to the nearest cent