The approximate change in the value of the function will be 10. Then the correct option is C.
What is the average rate change of a function?It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,
Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]
The function is given below.
f(x) = x² + 4x - 1
The average rate is calculated as,
Average rate = [f(3.1) - f(3)] / [3.1 - 3]
Average rate = [(3.1² + 4(3.1) - 1) - (3² + 4(3) - 1)] / 0.1
Average rate = (21.01 - 20) / (0.10)
Average rate = 1.01 / 0.10
Average rate = 10.1
Average rate ≈ 10
The approximate change in the value of the function will be 10. Then the correct option is C.
More about the average rate change of a function link is given below.
https://brainly.com/question/23715190
#SPJ5
hey anyone here! I need some help solving and understanding these please! I tried so hard but don't quite understand
Step-by-step explanation:
this is the solution to both of these questions in that picture.
What is the common difference for 9,11,13,15,17,19
Elsa is decorating for a wedding. She has 79 flowers and some vases. if she puts 8 flowers in each vase, how many flowers will she have left over.
Answer:
She will have 7 flowers left.
Step-by-step explanation:
I drew out clumps of 8 dots and counted them up to 79. The last clump only had 7 flowers left. Hope this helps :)
Determine the shortest distance from the point (5, 2) to the line represented by y=2x+1.
Answer:
5 and 6 because it is the nearest
HELP !!!!!!! MAHH HELP PLEASE !!!!
What is the slope of a line parallel to the line whose equation is 18x - 3y = -45 fully reduce your answer
Complete the following statement.
p(x)=x^(2)+7x+3
If is divided by x+4, the remainder is
Answer:
x + 3 with the remainder of -9
Step-by-step explanation:
___x__+__3_____
x + 4 | X^2 + 7x + 3
- (x^2 + 4x)
3x + 3
-(3x + 12)
-9
So the answer is x + 3 with the remainder of -9
PLEASE HELP WILL GIVE 30 POINTS
The data set shows the ages of guests on a recent tour of a museum: 34, 18, 29, 60, 44, 51, 65, 68.
A. What is the five-number summary of the data? Show your work.
B. How could the museum curator use this information to improve sales at the gift shop?
I already did part A I just need help on part B
The five-number summary is
Min: 18 Max: 68 Median: 47.5
Q1: 31.5 Q3:62.5
he can use the information to put stuff on sale so more people will come and he can make more money
Step-by-step explanation:
A middle-school art teacher, Ms. Velez, and her students are turning the school’s gymnasium into a student art museum for the day.
Ms. Velez types a program for the event and writes: "The most popular art museum in the world, the Louvre, has approximately 9,300,000 visitors each year. About 1,900,000 of those visitors are young people age 18 to 25."
1) How would you write the two numbers above in scientific notation? (2 points)
2) BONUS: Approximately what percent of visitors to the Louvre are young people?
Answer:19 to the 5th power
Step-by-step explanation:
U got to count all the zeros and that will be the number u put on top plus 19
Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1.
please help
Answer:
x≤2 or x≥-6
Step-by-step explanation:
Isolate the variables on both equations
3x-4≤2
3x≤6
x≤2
2x+11≥-1
2x≥-12
x≥-6
A gardening company sells clay flower pots and plastic flower pots. There must be at least 2 pots in each shipment, but there cannot be more than 8 in a shipment. Additionally, the shipment must weigh less than 100 lbs. Each shipment container weighs 20 lbs., and there is 1 lb. of packing material. A clay flower pot weighs 15 lbs., whereas a plastic flower pot weighs 7.5 lbs.
(A) Write a system of inequalities that represent the constraints on the number of pots that can be included in one shipment.
The system of inequalities can be obtained from the given information
on the allowable weights and number of pots.
The correct responses:
The system of inequalities that represent the constraint on the number
of pots that can be included in one shipment are;
2 ≤ x + y ≤ 815·x + 7.5·y ≤ 79 lbs.Methods used to find the system of inequalitiesThe inequality that represents the number total number of clay, T, in each shipment is 2 ≤ T ≤ 8
The inequality that represents weight of each shipment is w < 100 lbs
The weight of each shipment container = 20 lbs
The weight of the packing material = 1 lb
Therefore;
The maximum weight of the flower pots = 100 lbs - 21 lbs = 79 lbsThe weight of each clay flower pot = 15 lbs
The weight of each plastic flower pot = 7.5 lbs
Let "x" represent the number of clay flower pot included in one shipment
and let "y" represent the number of plastic flower pot included in one
shipment, we have;
The system of inequalities that represent the constraint on the number of pots that can be included in one shipment are as follows;
2 ≤ x + y ≤ 815·x + 7.5·y ≤ 79 lbs.Learn more about inequalities here:
https://brainly.com/question/10868639
We will find the system of inequalities:
C*15 lb + P*7.5lb < 79 lb
2 ≤ P + C ≤ 8
How to write a system of inequalities?
First, we need to define the variables that we will be using, these are:
C = number of clay pots.P = number of plastic pots.From the first restriction, we have that:
2 ≤ P + C ≤ 8
The other restriction says that the weight must be less than 100lbs:
W < 100lbs
Where the weight is:
W = C*15 lb + P*7.5lb + 20lb + 1lb
Where 20lb is the weight of the container and 1lb is the weight of the packing material, then we have:
C*15 lb + P*7.5lb + 20lb + 1lb < 100lb
We can subtract 21 lb in both sides to get:
C*15 lb + P*7.5lb < 100 lb - 21 lb
C*15 lb + P*7.5lb < 79 lb
So we got our two inequalities, then the system is:
C*15 lb + P*7.5lb < 79 lb
2 ≤ P + C ≤ 8
If you want to learn more about systems of inequalities, you can read:
https://brainly.com/question/9774970
Someone please help me with this question
It would be in the order it is
10 Points + Brainliest to first correct answer. Please give explanation for Brainliest. Any fake answers will be reported and deleted.
Which diagram best shows how fraction bars can be used to evaluate 1/2 divided by 1/4?
the second one is correct
The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius holds 1½ pints, how many gallons will a similar can with a 24-inch radius hold?
Answer:
The second similar can with a radius of 24-inch radius will hold 12 gallons
Step-by-step explanation:
The given parameters are;
The volumes of the cylindrical can ∝ (The radius of the cans)³
The volume of first can, V₁ = 1¹/₂ pints
The radius of the first can, r₁ = 6-inch
The radius of the second can, r₂ = 24-inch
Therefore, we have;
V ∝ r³
V = k × r³
∴ 1¹/₂ pints ∝ (6 in.)³
1¹/₂ pints = 43.3125 in³
∴ 43.3125 in³ = k × 216 in.³
The constant of proportionality, k = 43.3125/216 = 0.2005208333
Therefore, we have for the second can, we have;
V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³
The volume of the second can = 2772 in.³
1 in.³ = 0.004329 gallons
∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons
Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.
What is the value of X?
PLEASE HELP
Answer:
23
Step-by-step explanation:
19=x-4
x=23
HELP ILL MARK YOU BRAINLIST write in y=mx+b form HELP ILL MARK YOU BRAINLIST write in y=mx+b form
Answer:
im pretty sure it is.
y=-1/4x +3
Good luck!
Answer:
y = -1x/4 + 3
Step-by-step explanation:
m = slope
b = y intercept
4(10s) – 20 – 50s – 12 + 4s PLEASE HELP AND EXPLAIN
ay someone help me out please?
Answer:
a, c, and d
Step-by-step explanation:
1. A car used be of a gallon of gas to drive of a mile. At this rate, how many miles can the car travel using 1 gallon of gas?
Answer:
I think it is 16
Step-by-step explanation:
64÷4=16
4/64of gas=1 mile so I divided 64 by 4
A hunter shot 7 ducks. The hunter's dog recovered 5/7 of the ducks. How many ducks were recovered
Answer:
I think it would be 5/7
Explanation:
The question states "The hunter's dog recovered 5/7 of the ducks.", so I am guessing it would be 5/7
Hope this helps :)
Answer:
5 Ducks
Step-by-step explanation:
It is given that there were 7 ducks and 7 of those were shot in total. 7/7
It is also given that the dog retrieved 5/7 of them.
So, 7/7-5/7=2/7
2 ducks were not recovered, and 5 were
Hope I helped
1. A triangle has a base of 8km and height of 3km. What is the area of the triangle?
2. What is the area of a triangle with a base of 4 inches and a height of 9 inches?
Help would be much appreciated
Answer:
1. 12 square kilometers
2.18 square inches
Step-by-step explanation:
To find the area of a square you multiply the base and the height. Then you divide it by 2. 8 times 3 divided by 2 is 12. 4 times 9 divided by 2 is 18. Hope this helps!
Please help!!!!!!!!! Anthony is preparing to paint a large shipping container and needs to calculate the area of the container so he can buy the correct amount of paint. The equation he uses to find the area, A, in square feet is A= 2( lw + wh + lh) where l is the length, w is the width, and h is the height The container is 8 feet wide, 12 feet high, and 24 feet long. What is the area of the container in square feet? Answer choices: A. 567, B. 1152, C. 2304, D. 4608
Answer: I need help too to that
Step-by-step explanation:
Answer: 1,152
Step-by-step explanation:
Help pls and thank you:)
Answer:
y= -3x - 1
Step-by-step explanation:
The graph intercepts y at -3 and the slope is -1
Answer:
It's the 3rd answer. y = -x - 3
Step-by-step explanation:
What is the equation of the line that is parallel
to the line 3x + 4y = 2 and passes through the point (4,-1)?
What is the greatest common divisor between 621 and 1035.
Answer:
207
Step-by-step explanation:
Addison is selling giant chocolate bars for the choir fundraiser. The choir program will earn $3 for every bar that she
sells. She uses the function y = 3x to calculate how much she earns.
Given the domain of {9, 15, 18, 21, 27}, what is the range?
a
b
{3, 5, 6, 7, 93
9
275x581
{27, 45, 54, 63, 81}
С
d
Given:
The function is
[tex]y=3x[/tex]
Domain of the function is {9, 15, 18, 21, 27}.
To find:
The range of the function.
Solution:
We have,
[tex]y=3x[/tex]
Domain is set of input (x-values) and range is the set of output (y-values).
Domain = {9, 15, 18, 21, 27}
For x=9,
[tex]y=3(9)=27[/tex]
For x=15,
[tex]y=3(15)=45[/tex]
For x=18,
[tex]y=3(18)=54[/tex]
For x=21,
[tex]y=3(21)=63[/tex]
For x=27,
[tex]y=3(27)=81[/tex]
So, the y-values are 27, 45, 54, 63, 81.
Therefore, the range of the function is {27, 45, 54, 63, 81}.
Note: Options are not in proper form.
A boy at an amusement park has 38 ride tickets. Each ride on the roller coaster costs 5 tickets. After riding the roller coaster as many times as he can,how many tickets will the boy have left?
Answer:
He will expend 35 tickets for 7 rides. 3 tickets are left.
Step-by-step explanation:
Giving the following information:
Number of tickets= 38
Tickets per ride= 5
To calculate the number of rides he can make, we need to use the following formula:
Number of rides= number of tickets / tickets per ride
Number of rides= 38/5
Number of rides= 7.6 = 7 rides
He will expend 35 tickets for 7 rides. 3 tickets are left.
PLEASE HELP WILL MARK BRAINLIEST
Which is the equation of a hyperbola with directrices at x = ±2 and foci at (4, 0) and (−4, 0)?
x squared over 8 minus y squared over 8 equals 1
x squared over 8 minus y squared over 16 equals 1
y squared over 8 minus x squared over 8 equals 1
y squared over 16 minus x squared over 8 equals 1
The equation of the hyperbola is:
[tex]\frac{x^2}{8} - \frac{y^2}{8} = 1[/tex]
-----------------------------------------
Directrices at [tex]x = \pm 2[/tex]Foci at [tex]x = \pm 4[/tex]They are both in the x-axis, and the center is (0,0), which means that the equation is:
[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]
-----------------------------------------
Directrices at [tex]x = \pm 2[/tex] means that:
[tex]\frac{a^2}{c} = 2[/tex]
-----------------------------------------
Foci at [tex]x = \pm 4[/tex] means that:
[tex]c^2 = 4^2 = 16 \rightarrow c = 4[/tex]
Thus:
[tex]a^2 = 2c = 2(4) = 8[/tex]
-----------------------------------------
For b, we have that:
[tex]a^2 + b^2 = c^2[/tex]
[tex]8 + b^2 = 16[/tex]
[tex]b^2 = 8[/tex]
-----------------------------------------
Thus, since a and b have been found, the equation of the hyperbola is:
[tex]\frac{x^2}{8} - \frac{y^2}{8} = 1[/tex]
A similar problem is given at https://brainly.com/question/20409089
Simplify the expression.
0.2(2b - 15c)
Step-by-step explanation:
=0.2(2b-15c)
=0.4b-3c
hope it helps.
I will give you 20 points I need your help please!!! I need to know which one it is??
Answer:
c
Step-by-step explanation:
Divide each of the side lengths of the larger triangle by the side lengths of the smaller triangle and you get 4
