Given that
There are two equations and we have to solve them for the value of x.
Equations are
x + y = 9 and x - y = 2
Explanation -
First, we will substitute the value of y in eq (ii) from eq (i) and then solve for x.
So then,
\(\begin{gathered} x+y=9--------(i) \\ y=9-x \\ x-y=2-------(ii) \\ Substituting\text{ y in eq\lparen ii\rparen} \\ x-(9-x)=2 \\ x-9+x=2 \\ 2x=2+9 \\ 2x=11 \\ x=\frac{11}{2} \\ x=5.5 \end{gathered}\)So option A is correct.
Hence the final answer is 5.5The ___ is the center of mass of the triangle.
A. median
B. midpoint
C. orthocenter
D. centroid
Answer:D.CENTROID
Step-by-step explanation: THE ONLY CORRECT ANSWER IS CENTROID
5 = v + 30
help please ill give brainlyest thing
Answer:
V= -25
Step-by-step explanation:
5 = V+30
-30 - 30
----------------------
-25 = V
so, you have to figure out 5-30 which gets you -25 and you want to get the variable by itself so you do -30 and do the inverse operation and what you do to one side has to be done to the other so when you do +30-30 it gets you nothing so those cancel
Hope this helped u sorry if incorrect and welcome to Brainly
The darkness of the print is measured quantitatively using an index. If the index is greater than or
equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and
not acceptable. Assume that the machines print at an average darkness of 2.2 with a standard
deviation of 0.20.
(a) What percentage of printing jobs will be acceptable? (4)
(b) If the mean cannot be adjusted, but the standard deviation can, what must be the new standard
deviation such that a minimum of 95% of jobs will be acceptable?
84.13% of the printing jobs will be acceptable.
The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.
The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.
The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.
To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.
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Strategic planning answers the question "__________"
Step-by-step explanation:
Where do you want to go from here?
What do you want to accomplish?
What obstacles will you have to overcome?
What problems will you have to solve?
What additional knowledge, skills, or resources will you require to achieve your strategic objectives?
The required Strategic planning answers the question "Where do we want to go and how do we get there?"
What is Strategic planning?Strategic planning is the process of defining an organization's vision, mission, values, goals, and objectives, and developing a roadmap to achieve them.
Here,
"Where do we want to go and how do we get there?"
Strategic planning is the process of defining an organization's vision, mission, values, goals, and objectives, and developing a roadmap to achieve them. It involves assessing an organization's current situation, identifying strengths, weaknesses, opportunities, and threats, and developing strategies to leverage strengths, address weaknesses, seize opportunities, and mitigate threats.
The end result is a plan that sets the direction for the organization and guides decision-making and resources allocation to achieve its goals and objectives.
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Wrong answers only
6+9
0+9
2+3
and
11+90876
The values of the addition given will be:
6 + 9 = 15
0 + 9 = 9
2 + 3 = 5
11 + 90876 = 90887
What is addition?Addition simply means sum. It is one of the basic operations that are used in Mathematics. In this case, the addition of two whole numbers will bring about the total amount of the value combined.
Therefore the addition will be the sum of the numbers. This will be:
6 + 9 will be:
= 6 + 9
= 15
0+9 will be:
= 0 + 9
= 15
2+3 will be:
= 2 + 3
= 5
11+90876 will be:
= 11 + 90876
= 90887
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Joan has some photos in her photo album. Each week she plans to add 12 photos. After 8 weeks, Joan has 120 photos. The equation y = 24 + 12x represents the equation. What does the y-intercept mean in this context?
Answer:
Step-by-step explanation:
The y intercept occurs when x = 0
What you are left with is 24.
24 is the number of photos she started with. She started with 24 photos before she added any in any of the weeks that followed.
1. Evaluate 4x' + 7xy - 5y for x = 5, and y = 3.
Answer:
110 is your answer
1. A new compact has a sticker price of $14500. Options add another $982. Destination charges are $592. Dealer preparation is 5% of the total price. Sales tax is 7%. Tag fee is $145. Title fee is $45. What is the total price of the vehicle?
2. The selling price of a used car is $8850. Trade in allowance is $1500. Tax is 8%. Tag fee is $130. Title fee is $35. Finance charges are 9.5% annual simple interest. What is the total price of the financed amount? What are the total finance charges? What are the monthly payments if the vehicle is financed for 3 years? What is the total deferred price of the car?
3. The total deferred price of a car is $28000. After a down payment of $2100, the monthly payments are $380. How long is the financing agreement?
4. Stanley bought a new car with a sticker price of $19200. The dealer agreed to a 6% discount. The sales tax was 8% of the selling price. The tag fee was $65, and the title fee was $45. What is the total price of the car? The interest rate is 9% for financing the car for 5 years. What is the total deferred price after all the payments were made?
5. Mark bought a truck with a sticker price of $23000 plus additional options totaling $3500. He received a 4% discount and a $1500 trade-in allowance. The tax was 7%, tag fee was $125, and title fee was $75. He bought an extended warranty for $700, which was financed into the total cost of the truck. The interest rate was 6.5% for 5 years. How much are the monthly payments?
The total price of the vehicle would be $18,192.88.
The total deferred price of the car would be $11,191.60.
The length of the financing agreement is 68 months .
The total deferred price after the payments was $19,601.84.
The monthly payments would be $516.92.
How to find the price of the vehicle ?Subtotal = Base price + Options + Destination charges
Subtotal = $14,500 + $982 + $592 = $16,074
Dealer preparation = 5% of subtotal
Dealer preparation = 0.05 x $16,074 = $803.70
Sales tax = 7% of subtotal
Sales tax = 0.07 x $16,074 = $1,125.18
Total price = Subtotal + Dealer preparation + Sales tax + Tag fee + Title fee
Total price = $16,074 + $803.70 + $1,125.18 + $145 + $45 = $18,192.88
How to find the total deferred price ?Tax = 8% of selling price = 0.08 x $8,850 = $708
Tag fee = $130
Title fee = $35
Total amount financed = Amount financed + Tax + Tag fee + Title fee = $7,350 + $708 + $130 + $35 = $8,223
Annual interest rate = 9.5%
Number of years financed = 3
Total finance charges = $8,223 x 0.095 x 3 = $2,341.595
Total financed amount = $8,223 + $2,341.595 = $10,564.595
Monthly payments = Total financed amount / (Number of years financed x 12 months) = $10,564.595 / (3 x 12) = $293.4615
Total deferred price = Selling price + Total finance charges = $8,850 + $2,341.595 = $11,191.595
How to find the length of the financing agreement ?Total deferred price = $28,000
Down payment = $2,100
Total amount financed = Total deferred price - Down payment = $28,000 - $2,100 = $25,900
Monthly payments = $380
Number of months = Total amount financed / Monthly payments = $25,900 / $380 = 68.16
The financing agreement is approximately 68 months long.
How to find the deferred price after the payments ?Sticker price = $19,200
Discount = 6% of sticker price = 0.06 x $19,200 = $1,152
Selling price = Sticker price - Discount = $19,200 - $1,152 = $18,048
Sales tax = 8% of selling price = 0.08 x $18,048 = $1,443.84
Total price = Selling price + Sales tax + Tag fee + Title fee = $18,048 + $1,443.84 + $65 + $45 = $19,601.84
How to find the monthly payments ?Using the formula for monthly payments on a loan:
P = (PV x r x (1 + r)^ n) / ((1 + r) ^ n - 1)
= ($26,515.80 x 0.005265 x (1 + 0.005265) ^ 60 ) / ((1 + 0.005265) ^ 60 - 1) = $516.92
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You are the marketing manager at The Best Candy Shop where the top sales item is the Dream Pop bags of flavored candies. You have been getting complaints from customers that there are not enough lemon or blueberry flavored candies, which are favorites, and too many grape and strawberry flavored candies. Your boss wants you to create an advertisement indicating, “all bags have equally likely flavors.” (That is, the probability of getting a strawberry flavored candy piece is the same as getting a blueberry flavored candy piece, etc.). As the marketing manager, you want to make sure you are advertising truthful information, so you pull a sample bag of Dream Pop candy and find the following pieces: • 16 grape flavors • 12 strawberry flavors • 6 lemon flavors • 6 blueberry flavors • Explain how you could communicate to your boss that his advertising suggestion (all bags have equally likely flavors) would be incorrect. You must include at least two (2) probabilities from your sample bag of candy that would deem his advice inaccurate.
We can explain to the boss that the advertising suggestion of "all bags have equally likely flavors" would be inaccurate based on the sample bag of candy.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
Based on the sample bag of Dream Pop candy, we can calculate the probability of getting each flavor.
If all bags have equally likely flavors, then each flavor should have the same probability of being selected.
However, we can see from the sample that this is not the case.
To communicate this to the boss, we can calculate the probability of getting two different flavors and compare them.
For example:
The probability of getting a grape flavor is 16/40 or 0.4
The probability of getting a lemon flavor is 6/40 or 0.15
These probabilities are not equal, indicating that the flavors are not equally likely.
We can also compare the probabilities of getting two other flavors, such as:
The probability of getting a strawberry flavor is 12/40 or 0.3
The probability of getting a blueberry flavor is 6/40 or 0.15
Again, these probabilities are not equal, further indicating that the flavors are not equally likely.
Therefore,
We can explain to the boss that the advertising suggestion of "all bags have equally likely flavors" would be inaccurate based on the sample bag of candy.
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Question 1: Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive? Your response should include: The answer to how much money Trevon received AND your reasoning for your answer, with a focus on writing as complete of sentences as you can.
Question 2: Jenny wants to buy a game that costs $30.98. How much change does she receive if she gives the cashier $40?Your response should include: The answer to how much change Jenny will receive back AND your reasoning for your answer, with a focus on writing as complete of sentences as you can.
I WILL CHECK BEFORE GIVING POINTS, I REALLY NEED THIS THANK YOU :)
The amount of money Trevon had last Friday⇢$29
The total amount of money he has after cleaning the attic⇢$41
So,
The amount of money he received after cleaning the attic ⇢ Total money he has after cleaning the attic - The money he had last Friday
⇢ $41-$29⇢$12Thus ,he received $ 12 for cleaning up the attic.
Answer²↷$9.02Solution ↷The cost of the game ⇢$30.98
The amount of money she gave to the cashier ⇢$40
The amount she'll receive back⇢ the amount of money she gave to the cashier - the cost of the game
⇢$ 40 - $ 30.98⇢$ 9.02Hence , she'll receive $ 9.02 back from the cashier.
Answer:
Question 1Given:
Last Friday Trevon had $29He received money for cleaning the atticHe now has $41To calculate the money Trevon received for cleaning the attic over the weekend, we need to find the difference between the money he started with and the money he now has. To find the difference, subtract the smaller number from the bigger number:
⇒ Money Trevon received = Money he has now - money on Friday
= $41 - $29
= $12
Therefore, Trevon received $12 for cleaning the attic over the weekend.
Question 2Given:
Cost of game = $30.98Money gave the cashier = $40To calculate the change Jenny received from the cashier, we need to find the difference between the two amounts. To find the difference, subtract the cost of the game from the money Jenny gave to the cashier:
⇒ Change = money given - cost of game
= $40 - $30.98
= $9.02
Therefore, Jenny received $9.02 in change from the cashier after paying for a game that costs $30.98 with $40.
What is the range of the function? f(x)=3^x−1−2
The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is y > -2
Calculating the range of the equation?From the question, we have the following parameters that can be used in our computation:
f(x) = 3ˣ ⁻ ¹ - 2
The above equation is an exponential function
The rule of an exponential function is that
The domain is the set of all real numbersHowever, the range is always greater than the constant termIn this case, it is -2
So, the range is y > -2
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The system below is consistent and has more unknowns than equations so has an infinite number of solutions. Solve this system by specifying appropriate free variables, solving for the other variables in terms of the free ones then expressing the general solution as a sum of scalar multiples of fixed column vectors. X1 + x3 + 2x4 + X5 + 3x6 = 1 2x1 + x2 + 2x3 + 4x4 +3.25 + 10x6 = 5 3x1 + x2 + 3x3 + 6x4 + 6x5 + 15x6 = 8
The solution of the system is then given by:
x = t[1 -1 1 0.5 0.5 0.33] + s[0 -2 1 1 -2 1]
This is the general solution of the system in the form of a sum of scalar multiples of fixed column vectors.
The system of linear equations can be written in matrix form as:
[1 0 1 2 1 3 | 1]
[2 1 2 4 0 10| 5]
[3 1 3 6 6 15| 8]
where the augmented matrix is [A | B].
To solve the system using the method of specifying appropriate free variables, we first convert the coefficient matrix into reduced row echelon form using Gaussian elimination.
In reduced row echelon form, the first non-zero element of each row (known as the leading entry) is 1, and the leading entries of lower rows are to the right of the leading entries of higher rows.
Applying Gaussian elimination to the coefficient matrix, we get:
[1 0 1 2 1 3 | 1]
[0 1 0 2 -2 7| 0]
[0 0 0 0 0 0| 0]
We can see that there are two non-zero rows, indicating that the system has two independent equations.
We can choose two of the variables to be free variables, and express the other variables in terms of the free ones.
Let's choose x1 and x3 as the free variables.
We can find x2 as follows:
x2 = -x1 - 2x3 + 7
And we can find x4, x5 and x6 as follows:
x4 = (1 - x1 - x3)/2
x5 = 1 - x1 - 2x3 + 2x4
x6 = (1 - x1 - x3 - 2x4)/3
So the general solution of the system can be expressed as a sum of scalar multiples of fixed column vectors:
x1 = t
x2 = -t - 2s + 7
x3 = s
x4 = (1 - t - s)/2
x5 = 1 - t - 2s + (1 - t - s)/2
x6 = (1 - t - s)/3
where t and s are scalars.
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Which shows the integers in order from greatest to least? A 22, -11, 8, 7,2 B 2,7,8, -11,22 C -11, 2, 7, 8, 22 D 22, 8, 7, 2, -11
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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no link or bot it easy
Answer:
Just multiply two of the same numbers together twice
Step-by-step explanation:
Find the closest square number to the Square root of 31 which is 36. The square root of 36 is 6. So since 31 is smaller than 36, it must be between 5 and 6. Do this for the rest of the questions.
A cylindrical pottery vase has a diameter of 4.3 inches and a height of 11 inches. What is the surface area of the vase? Use the formula SA = B + Ph, since the vase has a bottom but no top. Use 3.14 for π
and round to the nearest tenth of a square inch.
The surface area of the cylindrical pottery vase is 177.55 in².
Given that a cylindrical pottery vase has a diameter of 4.3 inches and a height of 11 inches, we need to find the surface area of the vase,
SA of a cylinder = 2π×radius(h+r)
= 2×3.14×2.15(2.15+11)
= 177.55 in²
Hence, the surface area of the cylindrical pottery vase is 177.55 in².
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Which statement about function g is true?
g(x)
10
x
1
2 40
3 160
4 640
The statement about function g which is true is that: function g is exponential because g(x) changes by equal factors over equal intervals of x.
What is a slope?The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.
How to calculate the slope of a line?Mathematically, the slope of a straight line can be calculated by using this formula;
\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)
Slope = (40 - 10)/(2 - 1)
Slope = 30/1
Slope = 30
Slope = (160 - 40)/(3 - 2)
Slope = 120/1
Slope = 120.
Factor = 40/10 = 4
Factor = 160/40 = 4
Factor = 640/160 = 4.
Therefore, function g is exponential because g(x) changes by equal factors over equal intervals of x.
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Travis is an avid skier. He is trying to decide whether to buy ski equipment. Typically, it costs him $60 a day to rent ski equipment and buy a lift ticket. You can buy ski equipment for about $400. A lift ticket alone costs $35 for one day. Find the break-even point.
a.
4 days
b.
11 days
c.
6 days
d.
16 days
Answer:
D. 16 days
Step-by-step explanation:
Set up an equation where x is the number of days.
60x will represent his cost to rent the equipment.
35x + 400 will represent his cost if he buys the equipment.
Set these equal to each other and solve for x:
60x = 35x + 400
25x = 400
x = 16
So, the break even point is 16 days.
Determine the lateral area of the rectangular prism.
4.2 cm
5 cm
2.9 cm
Answer:
(did you forget the picture?) if those numbers are the lengths of the prism just multiply them all.
multiply them to get 60.9
how to get the area of the base ?
Answer:
LxWxH
Step-by-step explanation:
This is the graph of function f:y81642-NA O> H+++14-8-6-4> 22 4 6 8-4-6--87Function g is defined as g(x) = f(4x).What is the graph of g?
The graph is a plot of an absolute value function.
The general equation of an absolute value function is expressed as
\(\begin{gathered} y=a\lvert x-h\rvert+k \\ \text{where} \\ h=x-\text{coordinate of the vertex of the plot} \\ k=\text{ y-coordinate of the vertex of the plot} \\ a\text{ = constant} \end{gathered}\)Thus, given the graph below
\(\begin{gathered} \text{the values of h and k at the vertex of the plot is evaluated as} \\ (h,k)=(0,\text{ -4)} \end{gathered}\)Thus,
\(\begin{gathered} y=a\lvert x-0\rvert+(-4)\text{ } \\ \Rightarrow\text{ y= a}\lvert x\rvert-4\text{ ------ equation 1} \end{gathered}\)From the graph, taking either zeros of the function (that is, x = -4 or x = 4)
\(\begin{gathered} \text{when x = -4, y = 0} \\ substitute\text{ the above values in equation 1} \\ \Rightarrow0=a\lvert-4\rvert-4 \\ 0=4a-4 \\ collect\text{ like terms} \\ 4a=0+4 \\ 4a=4 \\ a=\frac{4}{4}=1 \\ a=1 \end{gathered}\)Thus, the equation of the plot is given as
\(\begin{gathered} f(x)=1\lvert x-0\rvert-4 \\ \Rightarrow f(x)\text{ = }\lvert x\rvert-4 \end{gathered}\)To solve for g(x):
\(\begin{gathered} g(x)=f(4x) \\ \Rightarrow f(4x)=\lvert4x\rvert-4 \end{gathered}\)Thus,
\(g(x)\text{ = }\lvert4x\rvert-4\)To find this product, Marcus first multiplied 103 x 27.
Which shows the correct placement of the decimal point
in the product?
1.03 x 2.7 = 2781
0.2781
2.781
27.81
278.1
URGENT
55 POINTS
Answer: B 2.187 have a good day
Step-by-step explanation:
because i say and it was right for me
A soup can is 4 inches tall and has a radius of 1.3 inches. How much soup will fit in the can? Use 3.14 for Pi and round your answer to the nearest tenth.
Answer:
the right answer is 32.7 in.2
Step-by-step explanation:
so 32.7
Answer:
21.2 in.³
Step-by-step explanation:
Volume of cylinder, V = πr²h.
V = πr²h
V = 3.14 × (1.3 in.)² × 4 in.
V = 21.2 in.³
How many terms are in the algebraic expression 3x? + 4y - 12
O
A. 4.
B. 2
D
C. 5
D. 3
What is the slope of the line that passes
through (7,3) and (-2,4)?
O 7
02
- 9
0-
OS
\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)
Let's calculate the slope ~
\(\qquad \sf \dashrightarrow \: \dfrac{y_2 - y_1}{x_2 - x_1} \)
\(\qquad \sf \dashrightarrow \: \dfrac{3 - 4}{7 - ( - 2)} \)
\(\qquad \sf \dashrightarrow \: \dfrac{ - 1}{9} \)
That's the required slope, I hope it helps~
The product of two negative integers is a negative integer.
Answer:
False. The product of two negative integers is a positive integer.
44 = -4(1 + 4v) + 4v how do I break down and solve???
Answer:
-4=v
Step-by-step explanation:
44 = -4-16v+4v
44=-4-12v
48=-12v
-4=v
Help plz:)))I’ll mark u Brainliest
Determine if the two triangles are congruent. If they are, state how you know.
Answer:
A
Step-by-step explanation:
The three sides are marked properly to show congruency. The way they are placed (orientation) does not matter. They are congruent by SSS.
No angles are marked and that lets out B C D and there is no right angle anywhere so you can't say E.
There is enough information to say SSS
The function f(x) = 1.85x2 models the cost of a square carpet, where x is the length in feet. Find the average rate of change for f, to the nearest tenth, over the interval 10 ≤ x ≤ 20.
To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.
The function value at x = 10 is:
f(10) = 1.85(10)^2 = 185
The function value at x = 20 is:
f(20) = 1.85(20)^2 = 740
The length of the interval is:
20 - 10 = 10
So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:
(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5
Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.
There are two words or phrases in this problem that tell you what operations will be in the algebraic expression. Choose the correct meaning for each.
Answer:I need to know what the phrases are.
Step-by-step explanation:
I can't answer this unless you do so.