You can use the given function to evaluate the expected sales at year 2009 and 2015 and use the net difference divided by time as the average rate of change.
The average rate of change in expected sales from 2009 to 2015 is given by $12,059,941
How to find the average rate of change of something?Let the thing that is changing be y and the thing with which the rate is being compared is x, then we have the average rate of change of y as x changes as:
[tex]\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where when
[tex]x = x_1, y = y_1\\and \\x = x_2, y = y_2[/tex]
Using the above method to calculate the needed average rateSince the sales is given by the function [tex]g(t) = t^3 - 2t^2 + 4t - 7[/tex], and the inputs are 2009 and 2015, thus, evaluating g(t) (sales) at those values of t, we get:
[tex]g(2009) = 8023737057[/tex] (replaced 2009 with t and calculated)
[tex]g(2015) = 8096096703[/tex] (replaced 2015 with t and calculated)
Using these values to calculate the average rate
[tex]\text{average rate} = \dfrac{g(2015) - g(2009)}{2015 - 2009} = \dfrac{72359646}{6} = 12059941\\[/tex]
Thus,
The average rate of change in expected sales from 2009 to 2015 is given by $12,059,941
Learn more about rate of change here:
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Y-4x=3 and 2x-3y=21 solve by substitution
Answer:
(-3,-9)
Step-by-step explanation:
Two circles with radii 3.5 cm and 2.5 cm touch each other internally. Find the distance between their centres.
Answer:
1cm
Step-by-step explanation:
Kindly refer to the attached image for clarity
Given data
Let the big circle have a radius R= 3.5cm
and the small circle have a radius r= 2.5cm
From the image, we can see that the distance between the two centers is the difference of the radii
Distance= R-r
Distance= 3.5-2.5= 1cm
Hence the distance is 1cm
Identify the zeros of the function f(x) = 2x2 − 2x + 13 using the quadratic formula.
MUST SHOW WORK
Answer:
x= 1±5i/2
Step-by-step explanation:
Can someone help please?
Answer:
16
Step-by-step explanation:
since he needs 32 points to get to 75 points,
soo you just dividi the points you need by the points you get by every question since it's 2 for every question you just need half of the question needed to get to 32 points soo divide it by 2 and the answer you get is 16.
90° clockwise rotation
Help please
Answer:
E' (-2,5)
F' (-3,1)
G' (-2,-1)
H' (0,3)
Step-by-step explanation:
The rule for 90 degree clockwise rotation is (h,k) -> (k,-h). This means flip the x-value's sign and then switch x and y's position. For example E (-5,-2), first flip x's sign (5,-2) and then switch x and y's places (-2,5).
use the distributive property to write the following expressions in expanded form
Is it only me or u didn't add a pic
Use this system of equations to answer the questions that follow.
4x – 9y = 7
–2x + 3y = 4
What number would you multiply the second equation by in order to eliminate the x-terms when adding to the first equation?
What number would you multiply the second equation by in order to eliminate the y-terms when adding to the first equation?
Answer:
To eliminate the x-terms, multiply the second equation by 2.
To eliminate the y-terms, multiply the second equation by 3.
Step-by-step explanation:
The first step of solving by elimination requires that you eliminate either the x-terms or y-terms by making the two terms have the same coefficient, but opposite signs.
So, if you wanted to eliminate the x-terms, you could multiply the second equation so that its x term has the same coefficient as the x-term in the first equation, but with opposite signs. The x-term in the first equation is 4x. The x-term in the second equation is -2x. They already have opposite signs, so we just need the -2x to become -4x. -4x divided by -2x is 2, thus you would multiply the second equation by 2.
If you wanted to eliminate the y-terms, the process is the same. The y-term in the first equation is -9y and the y-term in the second equation is 3y. Again, they already have opposite signs, we just need 3y to become 9y. 9y divided by 3y is 3, thus you would multiply the second equation by 3.
Answer:
to eliminate x, u would multiply second equation by 2
to eliminate y, u would multiply second equation by 3
Step-by-step explanation:
Which expression is equivalent to 8x -2y + x + x?
A. 4x
B. 8x
C. 6x - 2y
D. 10x -2y
Answer:
It is "C"
Step-by-step explanation:
I know this because I just did this test
f(x)=2*+3
What is the value of f(-2)
Answer:
3 1/4
Step-by-step explanation:
Answer:
f(-2)=7
Step-by-step explanation:
f(-2)=2^-2+3
f(-2)=4+3
f(-2)=7
Which two planets are most similar in their composition?
1.Earth and Mars
2.Venus and Saturn
3.Venus and Jupiter
4.Earth and Neptune
Answer:
1. Earth and Mars
Step-by-step explanation:
Earth, Venus, and Mars all have roughly similar bulk compositions: about one third of their mass consists of iron-nickel or iron-sulfur combinations; two thirds is made of silicates
1.
Radii of the circles are given below, find their areas.
(1) 28 cm
(2) 10.5 cm (3) 17.5 cm
Answer:
i have done the solution calculate yourself
Dos aviones salen del mismo aeropuerto,uno se dirige hacia el norte y el otro,al oriente.Cuando estan a 1580 km de distancia uno del otro,uno de ellos ha recorrido 800 km¿Que distancia ha recorrido el otro avion?
Answer: El otro avión recorrió a distancia de 1362.5 km.
Step-by-step explanation:
Vamos a definir:
Norte es el eje y-positivo.
Oriente (o este) es el eje x-positivo.
Y también sabemos que si tenemos los puntos (a, b) y (c, d)
La distancia entre esos puntos es:
Distancia = √( (a - c)^2 + (b - d)^2)
Ahora, uno de los aviones va hacia el norte, entonces si el aeropuerto está en la posición (0, 0), después de un rato viajando hacia el norte su nueva posición va a ser (0, A)
Mientras que el que va al oeste va a tener una nueva posición (B, 0)
La distancia entre ellos es:
Distancia = √( (B - 0)^2 + (0 - A)^2) = √( B^2 + A^2)
Sabemos que cuando la distancia entre ellos es 1580 km, uno de ellos ha recorrido 800km, asumamos que A = 800km.
Entonces tenemos la ecuación:
1580 km = √( B^2 + (800km)^2)
(1580km)^2 = B^2 + (800km)^2
(1580km)^2 - (800km)^2 = B^2
√((1580km)^2 - (800km)^2 ) = B = 1362.5 km
El otro avión recorrió a distancia de 1362.5 km.
can someone help me with this
Answer:
C≈81.68
Step-by-step explanation:
I hppe this helps! ^^
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Answer:
3/4x+2
Step-by-step explanation:
We can see the y intercept is 2 so our equation looks like this
y=mx+2
We just need to solve for m
We can take the point
(4,5)
and plug it in
5=4x+2
solve for x
x=3/4
Steve earns $9.45 less than twice the amount Bill earns. Steve earns $152.55. How much does Bill earn? Write an equation, Use x to represent the amount Bill earns.Immersive Reader
(5 Points) HELP
Solve the compound inequality −3 ≤ 3x + 3 ≤ 6 and graph the solutions.
x is greater than or equal to 0
x is less than or equal to 1
put the equation in desmos to graph the inequality
please help For Points Please.ASAP
SOME PLS ANSWER THIS WITH STEPS I WILL GIVE BRAINLIEST AND THANKS
Answer:
The slope of the line is 4.
Step-by-step explanation:
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] when the points given are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug the given points (1,12) and (2,16) into the equation
[tex]slope = \frac{16-12}{2-1}\\slope =\frac{4}{1} \\slope=4[/tex]
I hope this helps!
On Monday, Kylee rode 5 miles on a bike. On Tuesday, he rode 11 times more than he did Monday. On Wednesday, he rode an additional 12 miles.
How many miles has Kylee ridden so far this week?
Step-by-step explanation:
67 miles
A pizza has a circumference of 60 cm. The pizza is divided in half so that there are two halves. "The circumference of my half pizza is 30cm" Jenny thinks. Is that right? Explain why?
Answer:
yes because 30 is half of 60
Step-by-step explanation:
Answer:
yes, jenny is right.
Step-by-step explanation:
half of 60, is 30, (60/2 = 30)
hope this helps :)
a brainliest would most certaintly be appreciated :)
If r=3q + 2 and q = 1/3n for n = 1,2 or 3,
what is the least possiable value of r ?
A. 1
B. 2 1/9
C. 2 1/3
D. 3
Answer:
D. 3
Step-by-step explanation:
For n = 1:
q = 1/3 * 1 = 1/3
r = 3 * 1/3 + 2 = 1 + 2 = 3
For n = 2:
q = 1/3 * 2 = 2/3
r = 3 * 2/3 + 2 = 2 + 2 = 4
For n = 3:
q = 1/3 * 3 = 1
r = 3 * 1 + 2 = 3 + 2 = 5
Therefore, from the values of r that we found (3, 4, 5), the minimal value is 3.
Answer:
C
Step-by-step explanation:
21/ 3 is the answer of this question
Write 6x10 to the power of 2 in standard notation.
Round 2,641 to the nearest thousand
Answer: 2,641⇒3,000
Step-by-step explanation:
2 6 4 1
Thousand Hundred Ten one
------------------------------------------------------------------
Question:
Round 2,641 to the nearest thousand
Solve:
When the number is less than 5, you move down
When the number is greater or equal to 5, you move up
2 is the thousands place
the number before 2 is 6 on the hundreds place
6 is greater than 5, so you move up
Hope this helps!! :)
Please let me know if you have any questions
help pls asap ........
Answer:
(x²+6x+8)
I hope this helps
Step-by-step explanation:
(x+2) (x+4)
(x²+4x+2x+8)
(x²+6x+8)
Calculate the slope given points (1,2) and (3, 4).
And reduce or simplify your answer if possible. Please watch your signs.
Answer:
slope: 1
Step-by-step explanation:
(1, 2) and (3, 4)
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(4 - 2) / (3 - 1)
Simplify the parentheses.
= (2) / (2)
Simplify the fraction.
2/2
= 1
This is your slope.
Hope this helps!
I don’t know how to write it down on a piece of paper
what is the nth term of 5,11,17,23
Answer:
6n - 1.
Step-by-step explanation:
Arithmetic sequence.
a1 = 5, d = 6.
nth term = a1 + d(n - 1)
= 5 + 6(n - 1)
= 5 + 6n - 6
= 6n - 1.
Factor each expression by finding the GCF.
8 + 16 =
8 ( 1 + 16)
2 (4 + 16)
8 ( 1 + 2)
4 (2 + 6)
The Crayola company can make 245 crayons in 4 minutes. How long did it take them to make 980 crayons?
Answer:
16
Step-by-step explanation:
<3 :3
A rectangular prism that measures 7 centimeters by 5 centimeters by 12 centimeters.
Answer:
420 centimeters
Step-by-step explanation:
12 x 7 x 5 = 420