I need help!! Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x^3 + 1. Include the average rate of change in your answer.
Answers
Answer:
39
Step-by-step explanation:
The average rate of change obtained from the ratio of the change in y to the change in x is 39.
The average rate of change can be obtained using the relation :
Rate of change = (y2 - y1) ÷ (x2 - x1)
At ; x1 = 1
y1 can be calculated from the function ;
y1 = 3(1³) + 1 = 3(1) + 1 = 4
At ; x2 = 3
y1 can be calculated from the function ;
y2 = 3(3³) + 1 = 3(27) + 1 = 82
Rate of change can be calculated thus :
Slope = (82 - 4) ÷ (3 - 1) = 78 ÷ 2 = 39
Therefore, the average rate of change is 39.
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Related Questions
Given f(x)=3x+7 and g(x)=5x-4 answer the following g(2)
Answers
Answer:
6
Step-by-step explanation:
They are asking you to plug in 2 for the g(x) equation
5(2)-4=6
WILL GIVE 100 POINTS AFTER YOU ANSWER
What is the median of this data set: 17, 13, 18, 20, 17, 15, 12
20
17
19
16
Answers
Answer:
b
Step-by-step explanation:
0.4 (3d - 5) =4 hi :)))))
Answers
Answer:
d=5
Step-by-step explanation:
0.4 times 3= 1.2
0.4 times -5= -2
4+5= 6
6/1.2=5
Given a rhombus ABCD with vertices A(2,6), B(6,7), C(5,3), and D(1,2). What would the coordinates of its image be if it was rotated 180° about the origin?
Answers
Answer:
The coordinates would be A(6,2), B(7,6), C(3,5), D(2,1)
Step-by-step explanation:
When conducting a 180 degree rotation, you can just reverse the points to get your answer.
The required coordinate of the rhombus when rotates around the origin by 180° is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2).
Given that,
Given a rhombus ABCD with vertices A(2,6), B(6,7), C(5,3), and D(1,2). What would the coordinates of its image be if it was rotated 180° about the origin is to be determined.
Coordinate, is represented as the values of positions on the x-axis and y-axis of the graph
here,
Given the coordinates of the rhombus, A(2,6), B(6,7), C(5,3), and D(1,2).
Now, after rotation through 180° around the origin is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2), because while rotating the rhombus it would go to the third quadrant.
Thus, the required coordinate of the rhombus when rotates around the origin by 180° is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2).
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What is the value of x x+18+5x-6=180
Answers
Step-by-step explanation:
I Hope it helps you . Hope it will
Answer:X=28
Step-by-step explanation:
first you combine the like terms wich are x and 5x also -6 and 18
second your equation will be 6x+12=180
Third you subtract 12 from each side
4th you divide each side by 6 to simplify the x
5th your anwse would be x =28
HELP PLEASE PLEASEEEEEEE
Answers
Answer:
about 1854.55 miles (rounded to the hundredth)
Step-by-step explanation:
1.
[tex] \frac{44}{100} = \frac{816}{x} [/tex]
The first fraction represent the percentage of the distance.
The second one represent the number of 816 miles out of x
2. 100 × 816 = 44 × x
3. You'll get 81,600 = 44x
4. and then you divided both side by 44 to solve for x
The Rock Zoo nurses 37 species of big cats. Recently, a few species of big cats were sponsored to other zoos around the country. The zoo now nurses only 25 species. How many species of big cats were sponsored to other zoos?
Write the equation to be used to solve this equation.
Answers
Answer:
12 species
Step-by-step explanation:
37-N=25
working backwards
25-37=N
=25-37=12
I need help with number 1 I don’t understand I’ll give BRAINLIEST to whoever helps me the best
Answers
Answer:
The answer is B.200
Step-by-step explanation:
145.93×1.37=199.9
We need to multiply because the second team takes the times as longer than the first team. The answer is 200 because we need to roundup 199.9 into 200
Hope it helps :)
En la figura, la suma de las medidas p + q + r + s =/In the figure, the sum of the measures p + q + r + s =
And if someone know the explanation please write it
Answers
Answer:
I think its 300
Step-by-step explanation
This is from my understanding, so I may be a bit wrong.
1. First observe the amount of triangles that form, you have two main triangles and one isosceles triangle that forms in the middle by how these are joined together.
2. Using this idea we will come up with the equations of each triangle that has been formed.
3. We can observe that almost all angles are named with a variable except the one in the middle, being an isosceles we will name the missing variable y.
4. Triangle 1(left side) or T1 equals 180 degrees but what angles form this triangle, these would be p+q+y = 180, T2(right side) = r+s+y = 180
5. After creating these two triangles we notice that we have not taken into account the triangle in the middle, we are given 1 angle of this isosceles. There is a mathematical property which I don't remember the name, but essentially the angle below is the same as the angle above, this being 120 degrees. This will result in T3 = 2y + 120 = 180
6. Solve for y, which gives us y=30, *simple triangle math you know*
7. Finally we fix our equations for p+q+r+s, essentially T1 and T2 will transform into p+q = 180-y and r+s = 180-y, we add them up forming p+q+r+s = 2(180-y)
8. Solve the equation p+q+r+s = 360 - 2y which when adding y becomes p+q+r+s = 360-60 = 300
Notes: when doing these exercises it is important to take into account every triangle, the isosceles triangle is very vital for solving it, as it gives us a way for making an equation that is single handedly dependent on y a constant we can find and use. A good approach for these issues would be writing every piece of information as separate sets and then trying to join them using algebra.
List all the 3-digit even numbers that can be created by rearranging these number tiles.
237
Answers
Answer:
732 372
Step-by-step explanation:
I need some help with (−3f−5f+9)−(−6f+2)
Answers
Answer:
the correct answer would be -2f+7
What is the factored form of 8x^3 - 27y^3?
A. (2x + 3y)(4x^2 - 6xy + 9y^2)
B. (2x – 3y)(4x^2 + 9xy + 6y^2)
C. (2x – 3y)(4x^2 + 6xy + 9y^2)
D. (2x + 3y)(4x^2 - 9xy + 6y^2)
Answers
solve for b d=3a+3b
Answers
[tex]b = - a + \frac{1}{3} d[/tex]
A company makes two sizes of dog toys. The regular size works for most dogs, and the jumbo size is for really big dogs! Last week, the company made 1,740 dog toys. They made 11 times as many regular size toys as jumbo size toys. How many jumbo size dog toys did they make?
Answers
Answer: 1595 jumbo size
Step-by-step explanation:
From the question, let regular size toys be represented by a.
We are informed that the company made 11 times as many regular size toys as jumbo size toys. This means that:
Jumbo side toys = 11 × a = 11a
To calculate the number of jumbo size dog toys they make goes thus:
11a + a = 1740
12a = 1740
a = 1740/12
a = 145
Jumbo size toys = 11a
= 11 × 145
= 1595
The figure shown is reflected over the x-axis, then reflected
over the y-axis, and then translated 3 units right.
Which graph best represents the new position of the figure
after the three transformations?
Select one:
Answers
Answer:
grapgh?????
Step-by-step explanation:
Is √3,600 rational? Or a perfect square
Answers
Answer:
Yes to both
Step-by-step explanation:
Raja is depositing checks he received and filling out a deposit slip. The two checks he is depositing are for the amounts of $45.92 and $5.78. If he wanted to withdraw $20 at the same time, what amount should be written on the line highlighted by the green arrow?
Answers
Answer:
$31.70
Step-by-step explanation:
aPExPlease answerrr!!! (don’t answer if you don’t know it) will give brainliest
Answers
At the beginning of the week, Tideland Manufacturing had an inventory of 60,000 screws. This week they received a shipment of 30,000 more screws. Then they used 50,000 screws to make their Tideland mowers. How many screws do they have left in inventory?
Answers
Answer:
40,000
Step-by-step explanation:
You just add 60,000 and 30,000 which makes 90,000 and subtract it with the 50,000 then which equals to 40,000. you don't need to rate me.
What’s the greatest common factor of 156 and 260 show your work
Answers
Answer:
52
Step-by-step explanation:
156: 22 313
260: 22 513
GCF: 22 13
The Greatest Common Factor (GCF) is: 2 x 2 x 13 = 52
The Rodriguez family drinks 4.5 gallons of milk per week. The Bentley family drinks 1.2 gallons of milk each day. What is the difference, in liters, between the amounts of milk the families will drink in one week?
(1 gallon is approximately 3.8 liters)
A. 14.82 liters
B. 17.1 liters
C. 22.45 liters
D. 31.92
Answers
Answer:
A.
Step-by-step explanation:
The polynomial p(x)=3x^3-5x^2-4x+4 has a known factor of (x-2)
Answers
Answer:
3x^2-x-2 or (x+1) (3x-2) (x-2)
Step-by-step explanation:
I'm assuming you have to divide:
(x-2)[tex]\sqrt{3x^3-5x^2-4x+4}[/tex]
Hope this helps.
Answer:
p(x)=(x+1)(3x-2)(x-2)
Step-by-step explanation:
Solve for x please help me
Answers
A farmer has 1000 feet of fencing and wants to enclose a rectangular yard, and divide it into four pens as shown.
a. Find a function A(x) modeling the total area as a function of x, Hint: write the amount of fencing needed
in terms of x and y and set that equal to 1000, then you can solve for y. This should allow you to write
down the area in terms of x alone. Your function should be a quadratic function.
Answers
9514 1404 393
Answer:
A(x) = -2/5x^2 +200x
Step-by-step explanation:
There are 5 lengths of fence that are y long, and 2 lengths of fence that are x long. So, the perimeter is ...
5y +2x = 1000
Then the value of y is ...
y = (1000 -2x)/5
The area is the product of x and y:
A(x) = xy
A(x) = x(1000 -2x)/5
A(x) = (2/5)(x)(500-x) . . . a convenient form for finding the maximum area
In standard form, the equation is ...
A(x) = -2/5x^2 +200x
-2 (3x - 6) + 4 (5x - 8) = 92
Answers
Answer: x=7
Step-by-step explanation:
If the domain is 1,2,3,4 what is the range
Answers
Explanation:
A bag weighing 80 N rests on a horizontal surface. The coefficient of static friction between the bag and the surface is 0.4, and the coefficient of kinetic friction is 0.2. What minimum horizontal force must be applied to keep the bag moving at constant velocity once it has started to move?
Answers
Answer:
The minimum horizontal force that must be applied to keep the bag moving at constant velocity once it has started to move is 16 newtons.
Step-by-step explanation:
According to the First and Second Newton's Laws, an object has net force of zero when it is at rest or moves at constant velocity. Given that bag rests on a horizontal surface, the equation of equilibrium is:
[tex]\Sigma F = P - f = 0[/tex] (Eq. 1)
Where:
[tex]P[/tex] - Horizontal force exerted on the bag, measured in newtons.
[tex]f[/tex] - Kinetic friction force, mesured in newtons.
From (Eq. 1), we get that horizontal force is:
[tex]P = f[/tex]
On the case of a horizontal surface, normal force exerted from ground on the bag and kinetic friction force is:
[tex]f = \mu_{k}\cdot W[/tex] (Eq. 2)
Where:
[tex]\mu_{k}[/tex] - Kinetic coefficient of friction, dimensionless.
[tex]W[/tex] - Weight of the bag, measured in newtons.
Then we eliminate kinetic friction force by equalizing (Eqs. 1, 2):
[tex]P = \mu_{k}\cdot W[/tex]
If we know that [tex]\mu_{k} = 0.2[/tex] and [tex]W = 80\,N[/tex], then the horizontal force that must be applied to is:
[tex]P =0.2\cdot (80\,N)[/tex]
[tex]P = 16\,N[/tex]
The minimum horizontal force that must be applied to keep the bag moving at constant velocity once it has started to move is 16 newtons.
Can someone please help this is math? ill give BRAINLIEST
Answers
Answer:
27
Step-by-step explanation:
To solve this problem, let us follow it step by step;
Let Peter's number = P;
So;
⇒ P - 17
⇒ -2 (P - 17 )
⇒ -2 (P - 17 ) = -20
Solve the problem for P;
-2 (P - 17 ) = -20
-2P + 34 = -20
-2P = -20 -34
-2P = -54
P = 27
Answer:
Answer:
27
Step-by-step explanation:
To solve this problem, let us follow it step by step;
Let Peter's number = P;
So;
⇒ P - 17
⇒ -2 (P - 17 )
⇒ -2 (P - 17 ) = -20
Solve the problem for P;
-2 (P - 17 ) = -20
-2P + 34 = -20
-2P = -20 -34
-2P = -54
P = 27
Step-by-step explanation:
READ THE END! PLEASE HELP! OK, will mark best straight answer with brainiest (with explanation) URGENT! Justin's sand castle is 180 cm tall but the wind is blowing away sand at a rate of 8 cm per minute. Taylor's sand castle is 160 cm tall and she is adding sand to it at a rate of 6 cm per minute. After how many minutes will their sand castles be at an equal height? [ Also, if its 17.5 please explain what happened to 180 & 160!!! ]
Answers
Answer:
Both castles will have the same height at 3.33 minutes
Step-by-step explanation:
This problem will be solved with linear modeling, that is, expressing both people's sand castle's height as a function of time.
Justin built a sandcastle 180 cm tall, and its height is losing at 8 cm/min by the effect of wind. Thus, the height of Justin's sandcastle is:
[tex]H_J=180-8t[/tex]
Where t is the time expressed in minutes.
Taylor's sandcastle is initially 160 cm tall. The wind blows away sand at 8 cm/min but she adds sand at 6 cm/min, thus the real loss of sand is 8 cm/min - 6 cm/min= 2 cm/min. Thus, the height of Taylor's sandcastle is:
[tex]H_T=160-2t[/tex]
To find when both castles have the same height, we set:
[tex]180-8t=160-2t[/tex]
Simplifying:
6t=20
Solving:
t=20/6=3.33\ minutes
Both castles will have the same height at 3.33 minutes
helppp plsssssssssssssssssssss
Answers
Answer:
6b-8=58
b=11
Step-by-step explanation: