The average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4] is 111.
According to the given question.
We have a function g(x) = 7x^2 + 8x^3.
And a interval [-3, 4].
As we know that, the average rate of change of y over an interval between 2 points (a, f(a)) and (b, f(b)) is the slope of the secant line connecting the 2 points.
To calculate the average rate of change between the 2 points we use the formula
f(b) - f(a)/ b - a
Therefore, the average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4] is given by
[7(4)^2 + 8(4)^3 - 7(-3)^(2) - 8(-3)^3]/4 + 3
= [112 + 512 - 63 + 216]/7
= 777/7
= 111
Hence, the average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4] is 111.
Find out more information about average rate of change here:
https://brainly.com/question/13235160
#SPJ1
what is the value of x??
please help!
Answer:
x=29
Step-by-step explanation:
the degree of a straight line is 180°
180-149
=31
x+2=31
x+2-2=31-2
x=29
Two angles are supplementary. The measure of the larger angle is 36 degrees less than 8 times
the measure of the smaller angle. Find the measures of both angles.
Answer:
The measures of the angles are 16° and 164°.
Step-by-step explanation:
Let the smaller angle be x and the larger angle be 8x+36.
Supplementary angles add up to 180°.
Small angle + Large angle = 180°
x + 8x + 36 = 180
9x + 36 = 180
9x = 180 - 36
= 144
x = 144 ÷ 9
x = 16
8x+36 = 8(16)+36
= 164
What is the result of 6÷3/8?
Answer:
16
Step-by-step explanation:
you can convert to a decimal
Answer:
6÷3/8
2/8
1/4
-------------------------
Does this curve appear to have a positive slope or a negative slope? Why do you suppose that is the case?
Answer:
It has a negative slope
Step-by-step explanation: It's going down
negative slope, because the quantity (y axis) decreases as the price (x axis) increases, creating a downward slope
Write the equation of the line in slope-intercept form that has a slope of 3 and passes through (5, -1)
Answer:
y = 3x - 16
Step-by-step explanation:
In this question, we have to write an equation in slope-intercept form with the given information.
Slope-intercept form: y = mx + b
We already know our slope: 3
However, we don't know what are y-intercept (b) is.
To find this, plug the given information in the equation and solve for b:
-1 = 3(5) + b
-1 = 15 + b
Subtract 15 from both sides.
-16 = b
This means that our y-intercept will be -16.
Now, plug in our new information to the equation:
y = 3x - 16
The equation y = 3x - 16 will be your answer.
Answer:
y = 3x - 16
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope: 3
Points: (5, -1)
y = 3x + b
-1 = 3 ( 5 ) + b
-1 = 15 + b
b = -16
y = 3x - 16
Use the extended form find the perimeter of the square shape of 10cm and 18cm
2y-10=6x
plz help me
Answer: simplifying
Step-by-step explanation:
2y + -10 = 6x
Reorder the terms:
-10 + 2y = 6x
Solving
-10 + 2y = 6x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 2y = 10 + 6x
Combine like terms: -10 + 10 = 0
0 + 2y = 10 + 6x
2y = 10 + 6x
Divide each side by '2'.
y = 5 + 3x
Simplifying
y = 5 + 3x
Step-by-step explanation:
your well come...
what is the product in simplest terms of the mixed number below 2 1/2 × 3 1/2
Answer:
A. 8 3/4
Step-by-step explanation:
2 1/2 x 3 1/2 =
5/2 x 7/2 =
35/4 =
8 3/4
it 30 the answer is 30
The expression on the left side of an equation is shown below.
3(x+1)+9=0
If the equation has no solution, which expression can be written in the box on the other side of the equation?
O 3(x+4)
0 24x+6) + x
O 4(x - 3) - x
O 3(x+1)+9x
Please help with steps??? Question: Find the solution for a system of equations by elimination
2x- 3y=6
5x +7y = -14
Answer:
x = -84, y = -58
Step-by-step explanation:
2x - 3y = 6 --- Equation 1
Equation 1×5: 10x - 15y = 30 --- Equation 2
5x + 7y = -14 --- Equation 3
Equation 3×2: 10x + 14y = -28 --- Equation 4
I will eliminate 10x.
Equation 4-2:
10x - 15y - 10x + 14y = 30-(-28)
-y = 30+28
= 58
y = -58
Substitute y =-58 into Equation 1.
2x - 3y = 6
2x - 3(-58) = 6
2x - (-174) = 6
2x + 174 = 6
Find 2x.
2x = 6-174
= -168
Find x.
x = -168 ÷ 2
x = -84
Find the polynomial equation of lowest degree, with real coefficients and leading coefficient 1 1 that has the given roots.
Answer:
x^4 + 2x^3 + 3x^2 + 2x + 2 = 0
Step-by-step explanation:
The computation of the polynomial equation of the lowest degree is shown below
As we know that the complex roots would always arise in the conjucate pairs
As -i is a root, i is also a root
As -1 + i is a root
And, -1 is also a root
Now the polynomial equation would be
(x + i)(x - i)(x + 1 - i)(x + 1 - i) = 0
(x^2 - i^2)[(x + 1)^2 - i^2] = 0
(x^2 + 1)[(x + 1)^2 + 1] = 0
(x^2 + 1)(x^2 + 2x + 2) = 0
x^4 + 2x^3 + 3x^2 + 2x + 2 = 0
A test has 25 questions.
If peter gets 80% correct, how many questions did peter MISS!
(Whoever answers can you please give me a clear explanation?)
Answer:
Peter missed five questions.
Step-by-step explanation:
Since the test has twenty-five questions, and Peter got 80% correct...
80/100 = __/25 <--What number is the numerator?
Well, to get from 100 to 25, you have to divide by 4. 100/4 = 25.
Now, what is 80/4? If you do the math, you should get 20.
25 (Total Questions) - 20 (Questions Correctly Answered) = 5 (Questions Incorrectly Answered)
The ration of red marbles to white ones is 13 to 12. If there are 3,081 red marbles how many white ones are there?
Answer:
2844
Step-by-step explanation:
13 is to 12 as 3081 is to x. 13/12 = 3081/x. 12 * 3081 = 13x.
36972 = 13x. divide both sides by 13, you're left with 2844.
Im getting 37in^2
But is saying incorrect
Answer:
42 in^2
Step-by-step explanation:
the 2 triangles have a total area of 3*4*(1/2)*2 = 12 in^2
the middle rectangle has an area of 5*2.5 = 12.5 in^2
the left rectangle has an area of 3*2.5 = 7.5 in^2
the right rectangle has an area of 4*2.5 = 10 in^2
adding up all 4 gets 42 in^2
What is square root of 16 multiply by 35
$1,000 is borrowed at an interest rate of 8% per year.
a. How much is owed at the end of one year if interest is compounded:
i. monthly?
ii. continuously?
b. How much is owed at the end of three years if interest is compounded
continuously?
Answer:
1 (240000)
2 (8000)
3(8160000)
Tyreke can complete 5 problems in 8 minutes.
How long will it take him to complete 30
problems?
Answer:
48 minutes
30/5 = 6
6 x 8 = 48
Answer: 48
Step-by-step explanation:
if Tyreke can solve:
5 problems in 8 minutes
30 problems in ? minutes
(30*8)/5=48
Help meeee pleaseeeeee
Answer:
432
Step-by-step explanation:
8x9=72
72x6=432
с
If 2x – 3y = 2 and xy = 8 then find the value of 4x2 +9y2.
(d) If 4x – 5y = 6 and xy = 8 then find the value of 16x2 + 25y2.
Answer:hmmmmm
Step-by-step explanation:
HELP QUICKLY PLEASE Which of these is used to find the estimated age range of a fossil?
Absolute dating
Half-life
Index fossils
Radioactive dating
Answer:
Step-by-step explanation:
Radioactive dating becouse they look how long the fossils were there
due in 40mins help please!!
Answer:
(4,5)
Step-by-step explanation:
Order these numbers from least to greatest.
-33, 0.5, -5.87,
17/25
Answer:
-5.87,-33,0.5,17/25
Answer:
-33, -5.87, 0.5, 17/25.
Step-by-step explanation:
Thanks for the points!
Have a great day!
Stay safe and healthy!
Happy holiday seasons!
May I please have brainliest?
please help!!! due in 40mins i really need the answers
The steps are :
[tex]x + 2y = 13 - - - (1)[/tex]
[tex] - x + y = 5 - - - (2)[/tex]
[tex](1) + (2)[/tex]
[tex]x + 2y + ( - x) + y = 13 + 5[/tex]
[tex]3y = 18[/tex]
[tex]y = 6[/tex]
[tex]substitute \: y = 6 \: into \: (2)[/tex]
[tex](2)⇒[/tex]
[tex] - x + 6 = 5[/tex]
[tex] - x = - 1[/tex]
[tex]x = 1[/tex]
Therefore, you have to insert the values into the coordinates form so the answer willl be (1 , 6).
Suppose that y varies directly with x and y = 10 when x = 20. What is y when x = 15?
Given that,
y varies directly with x and y = 10 when x = 20.
To find,
The value of y when x = 15.
Solution,
[tex]y\propto x\\\\y=kx[/tex]
Put x = 20 and y = 10
[tex]k=\dfrac{y}{x}\\\\k=\dfrac{10}{20}\\\\=\dfrac{1}{2}[/tex]
Put k = 1/2 and x = 15 to find the value of y.
[tex]y=\dfrac{1}{2}\times 15\\\\=7.5[/tex]
So, the value of y is 7.5
A rectangle measures 54 feet by 72 feet. What is the length, in feet, of
the diagonal of the rectangle?
a. 48 ft
b. 90 ft
c. 110 ft
d. 2268 ft
e. 8100 ft
length (l) =54
breath (b) =72
l²+b²= diagonal²..........(Pythagoras theorem) and (all sides of rectangle are 90degree)
(54)²+(72)²=diagonal²
2916+5184=diagonal²
8100=diagonal²
90= diagonal.............(taking square root)
length of diagonal is 90ft
i hope it helps
have a nice day and thanks for asking this question
(3 x (6 + 4) - 22] x 2 = ?
Answer:
16
Step-by-step explanation:
[3 x (6 + 4) - 22] x 2
[3 x 10 - 22] x 2
[30 - 22] x 2
8 x 2 = 16
Plz HELP BRAINLIEST IF CORRECT THANKS
Answer:
5
Step-by-step explanation:
Rise over run... slope formula:
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
x=0, y=0
x=1, y=5
[tex]\frac{5-0}{1-0}=\frac{5}{1} =5[/tex]
In ΔRST, r = 40 cm, s = 88 cm and t=70 cm. Find the measure of ∠S to the nearest degree.
Answer:
102.835≈103
Step-by-step explanation:
Answer: 103
Step-by-step explanation: Trust
Shelby has x number of clothing items on her bed. She will hang 21 of the items in her closet
and will drop off of the remaining items to a local donation center. Write a function to
represent the number of items Shelby will donate as a function of x, the number of clothing items
on her bed.
Answer:
F(x)1/3x-7
Step-by-step explanation:
f(x)=(x-21)x1/
=/x-21
The number of items Shelby will donate as a function of x is f(x)=x-21.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
Given that Shelby has x number of clothing items on her bed. She will hang 21 of the items in her closet and will drop off of the remaining items to a local donation center. Therefore, we can write,
Total number of clothes = x
Number of clothes she will keep in her closet = 21
Now, the function can be written as,
Function(x) = Number of items Shelby will donate
f(x) = x - 21
Hence, the number of items Shelby will donate as a function of x is f(x)=x-21.
Learn more about Function here:
https://brainly.com/question/5245372
#SPJ2