Answer:
The average rate of change is -75
Step-by-step explanation:
The Average Rate of Change (ARC)
It's a measure of how much the function changed per unit, over a given interval.
Given a function F(x) and an interval between x=a and x=b, the average rate of change is:
[tex]\displaystyle A=\frac{F(b)-F(a)}{b-a}[/tex]
The function is:
[tex]F(x)=-x^3+24x^2-179x+495[/tex]
and it's required to find the ARC between x=2 and x=5.
Calculate F(2) and F(5):
[tex]F(2)=-2^3+24*2^2-179*2+495=225[/tex]
[tex]F(5)=-5^3+24*5^2-179*5+495=75[/tex]
The ARC is:
[tex]\displaystyle A=\frac{75-225}{5-3}=\frac{-150}{2}=-75[/tex]
The average rate of change is -75
odd number is bivisiblety of 2
What is the slope of the line that passes through the points (4, 3) and (1, -5)?
Answer:
y = − x +1
Step-by-step explanation:
The equation of the line having slope of
−
1
, passing through point
(
4
,
−
3
)
is
y
−
y
1
=
m
(
x
−
x
1
)
or
y
+
3
=
−
1
(
x
−
4
)
or
y
=
−
x
+
1
[Ans]
Samantha is collecting quarters for a school fundraiser. She wants to wrap what she has already collected into coin rolls. Each coin roll holds 40 quarters. If Samantha has 479 quarters, how many coin rolls will she need?
Answer:12
Step-by-step explanation:
Given
Each coin roll can hold 40 quarters
There are a total of 479 quarters
So, no of coin roll [tex]=\dfrac{\text{Total quarters}}{\text{Holding capacity of each coin roll}}[/tex]
[tex]\Rightarrow \frac{479}{40}=11.975[/tex]
As no of coin rolls cannot be in decimal
[tex]\therefore[/tex] there are 12 coin rolls
In the school library, there is 28 fiction items to every three non-fiction items. which is the best estimate of how many total items there are in the library if there are 52 nonfiction items?
Answer:
there will be 537 items in the library
Step-by-step explanation:
3 Serafina is solving a number puzzle that involves three integers, e, f, and g,
where e is negative. The product of e and fis – 15. The product of e and g
is 6. The product of fand g is – 10. What are the values of e, f, and g?
Show your work.
Answer:
19 maybe?
Step-by-step explanation:
i really need help with this question it's due today
The temperature outside was 4 degrees Celsius in the morning. It has fallen by 8 degrees. What is the temperature?
Answer:
-4 degrees
Step-by-step explanation:
4 - 8 = -4
Answer:
-4 Celsius
Step-by-step explanation:
A 6th grade math teacher can grade 15 homework assignments in 24 minutes. If he works at the same rate, how long should it take him to grade 36 homework assignments? [Type your answer as a decimal number.]
Answer:
its 57.6
Step-by-step explanation:
Your bill at Lawrys comes out to $40 for a steak dinner. You top the waiter 15%. How much did you tip him
Answer: Pretty sure it’s $6.00
Step-by-step explanation: I already answered it on your other question
There is an outbuilding that has an area of 80 square feet. The rectangle on the blueprint that represents the outbuilding has an area of 20 square inches. If the actual outbuilding has a wall length of 10 feet, what is the length of that wall on the blueprint . A) 3 B) 4 C) 5 D) 6
Answer:
B) 4
Step-by-step explanation:
There is an outbuilding that has an area of 80 square feet. The rectangle on the blueprint that represents the outbuilding has an area of 20 square inches. If the actual outbuilding has a wall length of 10 feet, what is the length of that wall on the blueprint . A) 3 B) 4 C) 5 D) 6
The length of the wall on the blue print can be calculated as:
20 square feet ÷ 5
= 4 feet
During the summer, a river's height decreases by 0.05 inch every day. What is the change in the
river's height after 20 days?
Answer:
it decreases by 1 inch total
Step-by-step explanation:
if it decreases by .05 inches per day for 20 day, then that would be .5 times 20, which equals 1, so in total, the river decreased 1 inch
On Tuesday, Abel had $164.25
in his bank account. On Wednesday, he withdrew $68.50
from his account. After depositing $286.50
on Friday, how much money did Abel have in his account?
Answer: $382.25
Step-by-step explanation: Subtract 68.50 from 164.25, then add 286.50.
Suppose that a sequence is defined as follows
a1=-3 an=2an-1+10 for n is greater than or equal to 2
Answer:
idek im doing this for points for my test
Step-by-step explanation:
Mathematics-Algebric expressions and identity for class 8
1) Find the product of the following pairs of monomials
qus) 4p^3,-3p
Answer:
-12p^4
Step-by-step explanation:
4p^3*(-3p)
-12p^4
Can someone please help me?
Answer:
y=2x
Step-by-step explanation:
Aaron is 6 years old, Beth is 9 years old and Charlie is 15 years old. They are going to share £5940 in the same ratio as their ages. How much do they each receive?
Answer:
[tex]Aaron=1188[/tex]
[tex]Beth=1782[/tex]
[tex]Charlie=2970[/tex]
Step-by-step explanation:
From the question we are told that
Ratio 6:9:15
Total amount to e shared N=£5940
Generally the Ratio can divide the Total amount mathematically as follows
Ratio
6:9:15/3=2:3:5
Sum of ratio
2+3+5=10
For Aaron
[tex]A=\frac{2}{10} *5940[/tex]
[tex]A=1188[/tex]
For Beth
[tex]B=\frac{3}{10} *5940[/tex]
[tex]B=1782[/tex]
For Charlie
[tex]C=\frac{2}{10} *5940[/tex]
[tex]C=2970[/tex]
Check answer
[tex]A+B+C=5940\\1188+1782+2970=5940[/tex]
ummmm questions 2 plus 59
Answer:
61
Step-by-step explanation:
6 squared + b squared = 24 squared solve for B
Answer:
b = 6√15
Step-by-step explanation:
6² + b² = 24²
36 + b² = 576
b² = 540
b = √540
b = √9 · √60
b = 3 · √60
b = 3 · √4 · √15
b = 6 √15
Please hellllppppp me!!
Answer:
Just set up an equation. You'll be fine
Step-by-step explanation:
I don't want to do it.
Answer:
10. 40+ 3*q = Total Points
11. m + 240 ÷ 9 = Miles per Hour
2x - 8y = 16 and 3x - 2y = 19 How would I solve by substitution?
Write a coordinate proof given quadrilateral ABCD with vertices A (3, 2), B (8, 2), C (5, 0), and D (0, 0).
Plot the point and graph the quadrilateral.
Answer:
Step-by-step explanation:
There is really no way to show that of I know of without drawing it but here is this. I hope this helps and not really exact on position but that is very close.
What date would be four months prior to January 31st?
Answer:
It should be May 24 I am sorry if i am incorrect
Help me with this pls
Answer:
B. 60=(4x-20)
Step-by-step explanation:
They are the same degree so they must equal eachother
Answer:
hello
Step-by-step explanation:
I think option (B)
because we can say that
60=(4x-20) ( ver. opp. angle )
help me and ill give brainlist
its a sqaure so the angles are 90 degress each.
90 - 38 = 52
answer: C. 52
Answer:
c = 52*
Step-by-step explanation:
If we assume that both shaded triangles are equivalent, and we know that the total angle of a square's corner is 90*, to find the missing angles of the unshaded area (angle z) we just subtract 38 from 90.
90 - 38 = 52*.
m JIS = 2x + 55, m JIH=163,
and m SIH = x + 108. Find x.
answer
ar sjdh elsyxn to give sjdh d
Zachary is deciding between two landscaping companies for his place of
business. Company A charges $40 per hour and a $100 equipment fee.
Company B charges $30 per hour and a $150 equipment fee. Let A represent
the amount Company A would charge for t hours of landscaping, and let B
represent the amount Company B would charge for t hours of landscaping.
Write an equation for each situation, in terms of t, and determine the interval
of hours, t, for which Company A is cheaper than Company B.
A=
B=
Answer:
Step-by-step explanation:
A= 40t + 100
B= 30t + 150
A = 40t + 100
B = 30t + 150
Sorry I don't understand the 2nd part
According to the income section shown below from the 1040EZ form,
which of the following on line 2 would make the taxpayer ineligible to use this form?
A P E X ANSWER PLEASE I NEED ANSWER ASAP PLEASE AND THANK YOU!
Answer:
A) interest in the amount of $1,600
Sorry, this is late!
Step-by-step explanation:
Line 2 states that a taxpayer is ineligible to use the form if their total taxable interest is over $1,500. Answer A implies that the interest rate is $1,600 which applies perfectly.
The thing on line 2 that would make the taxpayer ineligible to use this form is D, None of the above.
What is a 1040EZ form?This refers to the tax form in the United States that is used for people below the age of 65 and have dependents that earn less than $100,000 yearly.
Hence, we can see from line 2, we can see that it is stated that taxable interest is more than $1,500 and the person becomes ineligible and none of the answer choices satisfies this, so option D is the answer.
Read more about 1040EZ form here:
https://brainly.com/question/11155394
#SPJ2
please help me please will give brainliest to anyone who is good
Answer:
C
Step-by-step explanation:
The terms are being added together, therefore you must be looking for the sum. The answer C is the only one that represents this. It shows all three terms being added together, without then performing another operation after the addition.
Answer:
C
Step-by-step explanation:
The sum of x², 7x and 2 is the same as saying x²+7x+2
WILL MARK BRAINLIEST IF YOUR ANSWERS ARE CORRECT!!!!!
1. what are the focus and the directrix to a parabola and how do they help you understand about a parabola ?
2. how are the center, radius, and a point on the circle expressed algebraically?
Answer: 1. What are the focus and directrix of a parabola? Parabolas are commonly known as the graphs of quadratic functions. They can also be viewed as the set of all points whose distance from a certain point (the focus) is equal to their distance from a certain line (the directrix).
2.The center-radius form is: (x−h)2+(y−k)2=r2 Here, the center point is denoted by (h,k) and r is the radius of the circle.
Step-by-step explanation:
In a class A of 25 students, 20 passed in first class; in another class B
of 30 students, 24 passed in first class. In which class was a greater
fraction of students getting first class?
Answer:
class A 20/25 = 4/5
class B 24/30 = 4/5
they are both the same
Answer:
Both classes have the same fraction (80% or 4/5).
Step-by-step explanation:
20 is 4/5 of 25, so 80% of students in Class A passed in first class.
24 is 4/5 of 30, so 80% of students in Class B passed in first class.
Both 20/25 and 24/30 simplify to 4/5, or 80%, so both classes have the same fraction of students passing.
