Answer:
The average rate of change of the function is 22.
Step-by-step explanation:
The given function is :
[tex]f(x)=x^4-5x[/tex]
We need to find the average rate of change of the function on the closed interval (0, 3).
The average rate of change of a function in interval (a,b) is given by :
[tex]R=\dfrac{f(b)-f(a)}{b-a}[/tex]
Here, a = 0 and b = 3
[tex]R=\dfrac{(3^4-5(3))-(0^4-5(0))}{3-0}\\\\=\dfrac{66}{3}\\\\=22[/tex]
So, the average rate of change of the function is 22.
Answer:
22
Step-by-step explanation:
(f(3)-f(0))/3
=66/3
=22
Help please, I'm stuck on this :/
Do you have a calculator? you can solve it by substituting x.
y=16x^2
0: y = 16(0)^2 = 16(0) = 0
(x = 0 , y = 0)
0.5: y = 16(0.5)^2 = 16(0.25) = 4
(x = 0.5 , y = 4)
1: y = 16(1)^2 = 16(1) = 16
(x = 1 , y = 16)
1.5: y = 16(1.5)^2 = 16(2.25) = 36
(x = 1.5 , y = 36)
2: y = 16(2)^2 = 16(4) = 64
(x = 2 , y = 64)
2.5: y = 16(2.5)^2 = 16(6.25) = 100
(x = 2.5 , y = 100)
3 : y = 16(3)^2 = 16(9) = 144
(x = 3 , y = 144)
4: y = 16(4)^2 = 16(16) = 256
(x = 4 , y = 256)
if you multiply a negative number by itself, it will become positive. So, -4, -3, -2.5, -2, -1.5, -1, -0.5 will be the same as the positive 4, 3, 2.5, 2, 1.5, 1, 0.5.
I'm not sure about the pattern, but if you graph it, it'll be symmetrical across the y-axis.
Elle wanted to order candy online.
Company A is offering 212 pounds of chocolate for $32.50 at a unit rate $
per
,
while Company B is offering 245 pounds of the same chocolate for $35.00 at a unit rate $
per
.
Which company is offering the lowest price per pound?
Company
has the lowest price per pound.
im in 7 grade
Answer:
Company A
Step-by-step explanation:
Company A 212 ÷ 32.5 = 6.52307692307
Company B 245 ÷35=7
are behind on your classes?
yes. how'd you knowwww?
Answer:
no
Step-by-step explanation:
I AM BLACK AND PROUD
BLACK LIVES_or no lives
im not sure what u mean but if ur choosing one or the other I think no lives....
Answer:
blm matters
Step-by-step explanation:
The movie theater capacity is at most 435. write an Inequalitie
Answer:
x ≤ 435
Step-by-step explanation:
Let the capacity of the theater be represented by x. The movie theater has a capacity of 435, which implies that it can hold nothing more than or maximum of 435 people. Thus the number of people for the theater could be less than 435, but not more than 435.
Expressing this with inequality, we have;
x ≤ 435
where x is the movie theater capacity.
The cost to go bowling is $7 per game (g) plus $6 to rent a pair of shoes. Which mathematical expression can be used to show the cost to go bowling
Answer:
y= 7g+6
Step-by-step explanation:
Answer:
The expression is 7+6. your welcome!
49x2 - 81 is an example of the difference of two
squares. All polynomials that are a difference of two
squares factor in a very specific way. Which of the
following would represent the factorization of a polynomial
that was the difference of two squares.
(x - 25)
(9x – 100)
(25x – 4)(25x – 4)
(x-4) (x-9)
(4x + 3)(4x - 3)
Answer:
(4x + 3)(4x - 3) represents the factorization of a polynomial that was the difference of two squares as it is written as product of sum and difference of two numbers.
Step-by-step explanation:
Formulas are used to factorize the polynomials.
In the given question, we can see a difference of squares
the difference of squares can be factorized using the formula
[tex]a^2-b^2 = (a+b)(a-b)[/tex]
Here a^2 and b^2 are squares and factorized as sum and difference of numbers.
So in the given options,
(4x + 3)(4x - 3) represents the factorization of a polynomial that was the difference of two squares as it is written as product of sum and difference of two numbers.
PLEASE HELP
All of the following are rational except
O 3.14159...
o o
O 0.125
00
Answer:
3.14159...
Step-by-step explanation:
pi is not rational number
Answer:
A. 3.14......
Step-by-step explanation:
3.14159 is called pi! Pi is not rational, it is irrational.
What does the graph look like for the equation y=|x+3|
Answer:
Step-by-step explanation:
Options
A positive
B negative
C zero
D undefined
I’ll give you brainlest
Answer:
A
Step-by-step explanation:
i want it now
The first company charges $40 per backpack and a $10 shipping fee for the order and the second company charges $38 per backpack and $16 shipping fee. How many backpacks would a customer need to order from either company so that the cost of the order was the same from both companies
Answer: 3
Step-by-step explanation:
Multiply $40 by 3 then add 10 to get 130.
Multiply $38 by 3 then add 16 to get 130.
The number of backpacks a customer would need to order from either company so that the cost of the order was the same for both companies is 3 backpacks.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
First company:
Charges per backpack = $40
Shipping fee = $10
We can write an equation for the cost of x backpacks of the first company:
10 + 40x _____(1)
Second company:
Charges per backpack = $38
Shipping fee = $16
We can write an equation for the cost of x backpacks for the second company:
16 + 38x ______(2)
The number of backpacks a customer would need to order from either company so that the cost of the order was the same for both companies:
From (1) and (2) we get,
10 + 40x = 16 + 38x
Subtract 10 on both sides
10 + 40x - 10 = 16 + 38x - 10
40x = 6 + 38x
Subtract 38x on both sides.
40x - 38x = 6
2x = 6
Divide 2 on both sides.
x = 3
Thus,
The number of backpacks a customer would need to order from either company so that the cost of the order was the same for both companies is 3 backpacks.
Learn more about equations here:
https://brainly.com/question/27996921
#SPJ2
Which answer choice below best represents the equation for the graph above?
y=−12x+2
y=2x+2
y=−12x−2
y=12x+2
Mathias and his brother divided 2,030 marbles equally use compatible numbers to estimate how many marbles each brother received
Answer:
each brother received 1,015 marbles cus 2,030 divided by 2 is 1,015.
This diagram shows a right square pyramid and some of its dimensions. What is the volume of the pyramid?
A) 48 cubic inches
B 60 cubic inches
C 144 cubic inches
D) 180 cubic inches
Please I need help :(
Answer:
Volume of square Pyramid is 48 cubic inches.
Option A is correct option.
Step-by-step explanation:
Height of Pyramid = 4 in
Length of Base = 6 in
We need to find volume of square pyramid
The formula used is:
[tex]Volume\: of\: Square\: Pyramid=\frac{1}{3}\times A \times h[/tex]
Where A is area of base and h is height.
[tex]Area\: of\: Base =(Length)^2= 6^2 = 36[/tex]
Now, putting values of A = 36 and h = 5 and finding volume
[tex]Volume\: of\: Square\: Pyramid=\frac{1}{3}\times A \times h\\Volume\: of\: Square\: Pyramid=\frac{1}{3}\times 36 \times 4\\Volume\: of\: Square\: Pyramid=12 \times 4\\Volume\: of\: Square\: Pyramid=48 \: cubic\:inches[/tex]
So, Volume of square Pyramid is 48 cubic inches.
Option A is correct option.
Pls help 20 points question on the photo
Answer:
9
Step-by-step explanation:
The squares are the same so
3x + 7 = 5x + 1
6 = 2x
x = 3
area = length * length
3 * 3 = 9
GEOMETRY, pls help!!!
Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the
supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60
and spoons for $5.40. Last April Molly's Custom Kitchen Supplies spent $37.90 on materials for forks
and spoons. They sold the finished products for a total of S147.20. How many forks and how many
spoons did they make last April?
Write the equation for the cost of making forks and spoons:
Write the equation that represents the money made from selling forks and
spoons:
They made
forks "type in the number only
They made
spoons *type in the number only
9514 1404 393
Answer:
7 forks20 spoonsStep-by-step explanation:
Let x and y represent the numbers of forks and spoons made, respectively.
The cost of materials is ...
1.70x + 1.30y = 37.90
The revenue from sales is ...
5.60x + 5.40y = 147.20
You can solve these by any of your favorite methods. A graph is attached. It shows the solution is (x, y) = (7, 20).
They made 7 forks and 20 spoons.
_____
Additional working out
The equation coefficients are not "nice" multiples of each other, so elimination and substitution will require multiplying both equations by some numbers. If we're going to that trouble, we may as well use Cramer's Rule or a variation of the "cross multiplication method". The latter is relatively straightforward and can be easy to remember. It tells you the solution to ...
ax +by +c = 0
dx +ey +g = 0
is ...
1/(ae-db) = x/(bg-ey) = y/(cd-ga)
Here, that becomes ...
1/(1.70·5.40-5.60·1.30) = x/(1.30·(-147.20)-5.40·(-37.90))
= y/(-37.90·5.60-(-147.20·1.70))
1/1.9 = x/13.3 = y/38
x = 13.3/1.9 = 7 . . . number of forks
y = 38/1.9 = 20 . . . number of spoons
__
The above solution formula may be more easily remembered in terms of the cross-multiplication pattern that gives the method its name. When the coefficients are written in two rows of four, with the last being a repeat of the first:
a b c ad e g deach of the three denominators (of 1, x, and y) is the difference of products in adjacent columns, formed in an X fashion: ae-db, bg-ec, cd-ga. Note that the equations are written in "general" form, which is similar to "standard" form, but with all of the non-zero terms on the left of the equal sign. (This has the effect of changing the sign of the constants: 1.7x+1.3y=37.9 ⇒ 1.7x+1.3y-37.9=0)
Use the Distributive Property to find (z - 5)(2 + 3).
Answer:
5z - 25
Step-by-step explanation:
(z - 5)(2 + 3)
2z + 3z - 10 - 15
5z - 25
One week Isabella bought 2 bags of apples 3 bags of oranges. Next week she bought 1 bag of apples and 2 bags of oranges what expression shows the difference
Answer:3x+5y
Step-by-step explanation:
What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the
function g(x)=(x-4)2+2?
O-4
O-2
O2
O4
Answer:
-4
Step-by-step explanation:
When we talk of the horizontal translation, we are dealing with a change in the x value
Initially we had x alone while we had x-4 in the second
What this mean is that there is a change of -4
Answer:
Step-by-step explanation:
i put -4 and wrong, pretty sure its 4
I need help can you help me
equation: 3x = ax +b
Answer:
a = 3
b = 0
Step-by-step explanation:
Equations that have infinite solutions are equations that equal itself.
Example: 13y = 13y has infinite solutions
We need to find the values of a and b so that it equals 3x.
Therefore, a = 3 and b = 0.
Help I’m struggling on this .
Answer:
x = 50 degrees!
Help please will give brainiest
Answer:
The last one
Step-by-step explanation:
PLEASE HELP AS SOON AS POSSIBLE!!!
Which calculation will ALWAYS have a result greater than 1?
(A.) 1/89 × a number less than 1
(B.) 1 1/2 – a fraction less than 1/2
(C.) 2/5 + a fraction less than 1/2
(D.) 10 × a number less than 1
Answer:
B
Step-by-step explanation:
Pls help and SHOW workings
Answer:
94 = m∠1
Step-by-step explanation:
32 + 62 = m∠1
94 = m∠1
What is the measure of
A 54°
D. 66°
B. 56°
E. 114°
C. 58°
Answer:
66 I think might he wrong
Step-by-step explanation:
I'm not sure if its right
A line passes to the point (4,6) and has a slope of -3/4. Which is the equation of the line
Answer:
Step-by-step explanation:
use point-slope formula [ y- y1 = m(x - x1) ] with the point you are given as point 1 (x1,y1) = (4,-6) and the slope m that you are also given m = -3/4
y-y1 = m(x -x1)
y-(-6) = -3/4(x -4)
y + 6 = -3/4(x-4)
you can work this toward the slope-intercept formula of y = mx +b by doing the following
y + 6 = -3/4x +3 (distribute the -3/4)
y = -3/4x + 3 -6 ( move the 6 to the other side )
y = -3/4x - 3
there you go :) choice 1 looks good if you're still able to put in the answer
Simplify. [3 • (3 – 9)] + 9 –4.5 9 45 –9
this is your answer -45189/2000
Tickets to a show cost $5.50 for adults and $4.25 for students. A family is purchasing 2 adult tickets and 3 student tickets. What is the exact cost?
Answer:
$23.75
........................
Answer: $23.75
Step-by-step explanation:
$5.50a+$4.25s
$5.50(2)+$4.25(3)
= $23.75
a= is adult tickets
s=student tickets
(1 + 3²)·(12-7)²÷5
can u pls help me with the question
Answer:
I'm pretty sure the answer is 50
Step-by-step explanation:
______________________________
1.) Calculate 3 to the power of 2:[tex]3^2=9[/tex]
Equation at the end of Step 1:
[tex]\frac{(1+9)(12-7)^2}{5}[/tex]2.) Add 1 and 9:[tex]1+9=10[/tex]Equation at the end of Step 2:
[tex]\frac{10(12-7)^2}{5}[/tex]3.) Subtract 7 from 12:[tex]12-7=5[/tex]
Equation at the end of Step 3:
[tex]\frac{10*5^2}{5}[/tex]4.) Calculate 5 to the power of 2:[tex]5^2=25[/tex]
Equation at the end of Step 4:
[tex]\frac{10*25}{5}[/tex]5.) Multiply 10 and 25:[tex]10[/tex] × [tex]25=250[/tex]
Equation at the end of Step 5:
[tex]\frac{250}{5}[/tex]6.) Divide 250 by 5:[tex]250[/tex] ÷ [tex]5=50[/tex]
______________________________
