The number of pages that can be printed in half a minute is 90 pages
How many pages can be printed in half a minute?From the question, we have the following parameters that can be used in our computation:
The graph represents a proportional relationship
Where
x = minutes
y = pages
When the time is half a minute, we have
x = 0.5
So, we have the following ordered pair
(0.5, y)
From the question. we have
(4, 720)
So, we have
(0.5, y) = (4, 720)
Express as an equation
So, we have
y/0.5 = 720/4
This gives
y = 0.5 * 720/4
Evaluate
y = 90
Hence, the number of pages is 90
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The height of an arch x meters to the right of the center is 1/10(x^2-36). What is the height of 3 meters to the left of the center when x=-3
The height of 3 meter to the left of the center of arch is -2.7 meters which is found by the evaluation of the given equation when x = -3.
We can solve it through
The Height at x = -3 meters on the left of the center = [tex](1/10)(-3^2 - 36) [by Substituting x = -3]= (1/10)(9 - 36)= (1/10)(-27)= -2.7 meters[/tex]
At the end height of the arch at 3 meters to the left of the center when x = -3 is -2.7 meters. This negative value means the point is actually below the ground level at that position. So the height is -2.7 meters where - insists negative value.
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Find m AB
Please and thank you
Arcs get their angle measure from the central angle they're in, in this case the central angle of 86°, central to arcED, has a counterpart of a twin vertical angle across the center, since both vertical angles are identical twins that means the central angle for arcAB is 86° also, and that's the arcAB's measure too.
Customer: "I don't think that your questions are relevant to our discussion
A. Let me explain how my questions are related to our discussion.
B. I didn't mean to sound negative. Let me start over.
C. I am trying to be nice. I think you took what I said the wrong way.
D. I am very interested in what you have to say.
E. I apologize that you do not find them helpful.
The best response to such statement will be "Let me explain how my questions are related to our discussion" which is option (A)
What you should know about Customer DissatisfactionThe statement the customer made shows that he is disappointed with whatever the situation is.
Customer dissatisfaction refers to the feeling of displeasure, frustration, or disappointment that a customer experiences when their expectations are not met by a product or service they have purchased or received. It can arise from various factors, such as poor quality, ineffective communication, slow response times, inadequate support, or a mismatch between customer needs and what is being offered.
To prevent customer dissatisfaction, businesses must focus on providing high-quality products and services, being responsive and attentive to customer needs, and proactively addressing any issues or concerns that arise.
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In the figure below, m <2=49
The measure of angles ∠1, ∠3, and ∠4 will be 131°, 131°, and 49°, respectively.
Given that:
∠2 = 49°
The measure of angle ∠1 is calculated as,
∠1 + ∠2 = 180°
∠1 + 49° = 180°
∠1 = 131°
The measure of the angles ∠3 and ∠4 is calculated as,
∠3 = ∠1
∠3 = 131°
∠4 = ∠2
∠4 = 49°
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You currently have $6,500 that you would plan to deposit into an investment account that has an anticipated growth factor of 1.03 per year. Use guess and check to estimate the number of years that it will take for this investment to grow to $10,000. Show your work.
Answer:
Using guess and check, we can estimate the number of years it will take for the investment to grow to $10,000 as follows:
First, we'll assume that it will take 5 years for the investment to grow to $10,000.
After 5 years, the investment would grow to:
$6,500 x 1.03^5 = $7,960.35
Since this is still less than $10,000, we need to increase the number of years.
Next, we'll assume that it will take 10 years for the investment to grow to $10,000.
After 10 years, the investment would grow to:
$6,500 x 1.03^10 = $9,020.14
Since this is still less than $10,000, we need to increase the number of years again.
Finally, we'll assume that it will take 15 years for the investment to grow to $10,000.
After 15 years, the investment would grow to:
$6,500 x 1.03^15 = $10,005.58
Since this is slightly more than $10,000, we can estimate that it will take around 15 years for the investment to grow to $10,000.
Therefore, the estimated number of years it will take for the investment to grow to $10,000 is about 15 years.
A bag contains 3 black balls, 2 blue balls, and 3 green balls. A
random sample of 4 balls is selected. Given that x is the number of
black balls. y is the number of blue balls.
a) Find the joint probability function f(x, y)
b) Find the joint probability distribution of f(x, y)
The requreid, the joint probability function f(x, y) is:
f(0,0) = 3/14
f(0,1) = 9/28
f(0,2) = 3/28
f(1,0) = 9/28
f(1,1) = 9/28
f(2,0) = 3/14
f(2,1) = 3/14
f(3,0) = 1/14
To evaluate the joint probability function f(x, y), we need to determine the probability of selecting x black balls and y blue balls out of a sample of 4 balls. We can do this using the hypergeometric probability distribution formula:
f(x,y) = P(X = x, Y = y) = (C(3, x) * C(2, y) * C(3, 4-x-y)) / C(8, 4)
where C(n, k) represents the number of combinations of k items chosen from a set of n items.
Plugging in the values, we get:
f(0,0) = (C(3,0) * C(2,0) * C(3,4-0-0)) / C(8,4) = 3/14
f(0,1) = (C(3,0) * C(2,1) * C(3,4-0-1)) / C(8,4) = 9/28
f(0,2) = (C(3,0) * C(2,2) * C(3,4-0-2)) / C(8,4) = 3/28
f(1,0) = (C(3,1) * C(2,0) * C(3,4-1-0)) / C(8,4) = 9/28
f(1,1) = (C(3,1) * C(2,1) * C(3,4-1-1)) / C(8,4) = 9/28
f(2,0) = (C(3,2) * C(2,0) * C(3,4-2-0)) / C(8,4) = 3/14
f(2,1) = (C(3,2) * C(2,1) * C(3,4-2-1)) / C(8,4) = 3/14
f(3,0) = (C(3,3) * C(2,0) * C(3,4-3-0)) / C(8,4) = 1/14
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A rectangular prism is 38 centimeters long, 18 centimeters wide, and 13 centimeters high. What is the surface area of the rectangular prism?'
Answer:
53,352 cm
Step-by-step explanation:
1. The first step is to draw the rectangle draw one rectangle over the other and start labeling the sides.
2. After labeling use the rectangle prism formula: L times W times H in this case it would be 38 times 18 times 13 this is equal to 8,892.
3. From there, we know that there are six sides so we can multiply this value by 6 so it would be 8,892 times 6 = 53,352 cm.
If I made a mistake or if have any questions feel free to tell me!
-Mathematics and Science Major for Middle School Students at Harvard University
I REALLY NEED THIS TO PASS SOMEONE PLEASE TRY AND HELP
solve this triangle. Round to the nearest tenth
Answer:
Im pretty sure its the third one
Step-by-step explanation:
It all depends on the square root to find the nearest tenth and rounding it all up.
A survey asked people of different ages whether they get their news by
reading the paper. What is the probability that a person surveyed is under 40,
given that he or she gets the news by reading the paper? If necessary, round
Don't read
Read paper
Total
paper
36
your answer to the nearest percent.
Under 40
40 or older
Total
4
24
28
16
52
40
40
80
Answer:
To find the probability that a person surveyed is under 40 given that he or she gets the news by reading the paper, we need to use Bayes' theorem:
P(Under 40 | Read paper) = P(Read paper | Under 40) * P(Under 40) / P(Read paper)
where
P(Under 40 | Read paper) is the probability that a person is under 40 given that he or she gets the news by reading the paper
P(Read paper | Under 40) is the probability that a person under 40 reads the paper (36/80)
P(Under 40) is the overall probability of selecting a person under 40 (40/80)
P(Read paper) is the overall probability of selecting a person who reads the paper, calculated as the sum of those who are under 40 and read the paper and those who are 40 or older and read the paper (36+24)/(80)
Plugging in the values, we get:
P(Under 40 | Read paper) = (36/80) * (40/80) / ((36+24)/80)
P(Under 40 | Read paper) = 0.6
So the probability that a person surveyed is under 40, given that he or she gets the news by reading the paper, is 60%.
You notice the sign above at a mall
the amount harry is paid each day, f(x), is a function of the number of hours, x, he works. the function f(x)=10x+25 models this situation. harry can work, at most, 4 hours each day. what is the best domain of the function in this context?
The total amount paid to harry in past week, is 299.28.
We know that,
Amount is the sum or the total value.
For example, if A purchase 2 kg rice at the price of 40 rs/kg, the amount will be 40×2= 80 rs.
Given that,
The amount paid to Harry for 1 hour = $8.60
Since, Harry worked for 33 hours,
So, The amount paid to Harry for 33 hours = 8.60×33=283.8
Harry gets half times more amount than hourly rate and also gets bonus for last 3 days
So for last 3 days the extra amount paid to Harry
= 3×1/2×8.60+3×1/10×8.60
= 12.9+2.58
=15.48
So the total amount paid to harry = 283.8+15.48=299.28
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complete question:
Harry is paid £8.60 per hour for the first 30 hours he works each week. After 30 hours he is paid 1 and a half times the hourly rate.
Last week Harry worked 33 hours. He was also paid a bonus of 1/10 of his earnings
Calculate how much in total Harry was paid last week
Your goal is to create a college fund for you child. Suppose you find a fund that offers an apt of 6% . How much should you deposit monthly to accumulate $80,00 in 14 years
The amount to be invested now is $173.9.
What is the present amount?
The amount to be invested now can be calculated using the formula for future value of an annuity as shown below;
FV = A x ((1 + r)ⁿ⁻¹) / r
where:
FV = future value of the annuityA = monthly paymentr = annual interest rate / 12 n = number of months = 14 yrs x 12 = 168 monthsMonthly rate becomes;
r = 6% / 12 = 0.5% = 0.005
The amount is calculated as;
80,000 = A x ((1 + 0.005)¹⁶⁸ ⁻ ¹) / 0.005
80,000 =460A
A = 80,000/460
A = $173.9
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PLEASE HELP ASAP
The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. Which function is most likely increasing exponentially?
x f(x) g(x)
1 3 3
2 6 9
3 11 27
4 18 81
5 27 243
f(x), because it eventually exceeds g(x)
g(x), because it eventually exceeds f(x)
f(x), because it eventually intersects g(x)
g(x), because it will not intersect f(x)
The function that is most likely increase exponentially is f(x). Because it eventually exceeds g(x)
To determine which function is most likely increasing exponentially, we need to compare the rate at which the two functions are increasing.
Looking at the table, we can see that as x increases, f(x) increases at a faster rate than g(x). In fact, f(x) eventually exceeds g(x) for x values greater than or equal to 5. This suggests that f(x) is increasing at an exponential rate.
On the other hand, g(x) is increasing at a much slower rate than f(x). Although g(x) is also increasing, it does not appear to be increasing exponentially. In fact, g(x) will never exceed f(x), because f(x) grows at a faster rate.
Therefore, the function that is most likely increase exponentially is f(x).
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Find the area of the circle. Round your answer to the nearest hundredth.
1.5 ft
Answer:
approximately 7.07 square feet
Step-by-step explanation:
To find the area of a circle, we use the formula A = πr^2, where A is the area and r is the radius of the circle.
Given the radius of the circle is 1.5 ft, we can substitute this value into the formula:
A = π(1.5)^2
A = 7.07 square feet (rounded to the nearest hundredth)
Therefore, the area of the circle is approximately 7.07 square feet.
Answer:
A= 1.77 units squared.
Step-by-step explanation:
To find your answer, you would first need the formula. It would be A=πr2. In your image, 1.5cm is the diameter, twice the radius. How to find the radius is easy. To do that, you would divide by two.
1.5/2 <---- shown here (which would equal 0.75)
A=πr2
A=π(0.75)2
A=π(0.5625)
A= 1.76625
However, to round your answer, you would get 1.77
Find the graphed inequality below
Please explain
Answer:
poor photo quality.
Step-by-step explanation:
70 decreased by twice chai’s height
The statement "70 decreased by twice chai’s height" as an expression is 70 - 2c
Writing the statement as an expressionFrom the question, we have the following parameters that can be used in our computation:
70 decreased by twice chai’s height
Represent chai’s height with c
So, we have the following representation
70 decreased by 2c
When the above statement is then represented as an expression, we have the following
Expression: 70 - 2c
Hence, the expression of the statement "70 decreased by twice chai’s height" is 70 - 2c
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The volume of a cylinder is 180π cubic meters. The height of the cylinder is 11.25 meters. What is the radius of the cylinder?
Answer :
Radius = 4 meters.Step-by-step explanation :
It's given that :
The volume of a cylinder is 180π cubic meters. The height of the cylinder is 11.25 meters.
Formula of volume of cylinder = πr²h
where,
r denotes radius of the cylinderh denotes height of the cylinder.By substituting the values of values of height and volume in the above formula we'll get the required value of the radius.
[tex]:\implies [/tex] 180π = πr² 11.25
[tex]:\implies [/tex] 180π = r² × 11.25 π
[tex]:\implies [/tex] 180π/11.25 π = r²
[tex]:\implies [/tex] 16 = r²
[tex]:\implies [/tex] r² = √16
[tex]:\implies [/tex] r = 4
Hence, Radius of the cylinder is 4 meters.
―――――――――――――――――――――――Let sin(2x) – sin(x) = 0, where 0 ≤ x < 2π. What are the possible solutions for x? Left-brace StartFraction pi Over 6 EndFraction, StartFraction 5 pi Over 6 EndFraction Right-brace Left-brace StartFraction pi Over 3 EndFraction, StartFraction 5 pi Over 3 EndFraction right-brace Left-brace StartFraction pi over 6 EndFraction, StartFraction pi Over 2 EndFraction, StartFraction 5 pi Over 6 EndFraction, StartFraction 3 pi Over 2 EndFraction right-brace
The possible solutions for x for the equation sin(2x) – sin(x) = 0 will be (π/3, 5π/3). Then the correct option is B.
Given that:
sin(2x) – sin(x) = 0
Simplify the equation, then the value of 'x' is calculated as,
sin(2x) – sin(x) = 0
sin(2x) = sin(x)
2 sin x cos x = sin x
cos x = 1/2
cos x = cos (π/3, 5π/3)
x = π/3, 5π/3
The possible solutions for x for the equation sin(2x) – sin(x) = 0 will be (π/3, 5π/3). Then the correct option is B.
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1. You decide to buy a TV set for $800 and agree to pay for it with 18 equal monthly payments at 1.5% interest per month on the unpaid balance. How much are your payments? What is the total interest paid?
The total interest paid is $58.52.
We are given that;
P = 800
r = 0.015
n = 18
Now,
We can plug in the values given in question:
EMI = 800 x 0.015 x (1+0.015) ^ 18 / { (1+0.015) ^ 18-1}
EMI = 47.64
This means that your monthly payments are $47.64.
To find the total interest paid, we can multiply the EMI by the number of months and subtract the loan amount12:
Total interest paid = EMI x n - P
Total interest paid = 47.64 x 18 - 800
Total interest paid = 58.52
Therefore, by the given interest the answer will be $58.52.
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Which is a Function or
Not a function
The relation that is not a function is relation 3, and the other 3 are functions.
Which are functions and which aren't?A relation is a function if each point on its domain is mapped into a single point in the range.
So if you see an input that is mapped into two different outputs, then it is not a function.
Then the relation 3 is not a function, because h is mapped to different things, meaning that we have the same input being mapped to different outpouts. While the other 3 relations are all functions.
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solve for x
2x^2/3+9x^1/3= -4
The solution of the equation is x=0.08813 or 3.90664.
We have,
2x² / 3 + 9[tex]x^{1/3[/tex] = -4
Now, solving the equation for x
2x² + 27[tex]x^{1/3[/tex] = -12
Now, taking cube on both side we get
(2x² + 27[tex]x^{1/3[/tex] )³= -12³
Now, simplifying we get
19683x = -1728 -864x² -144[tex]x^4[/tex]-8[tex]x^6[/tex]
So, x=0.08813 or 3.90664
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for the function g(x)=-1/2x^2+2x+5, write the function in vertex form. ANSWER ASAP! Will Give Branliest!!! No Fake answers! Thx!
Garnier's Opera House is a revival of the________style.
Romantic
Gothic
Renaissance
Baroque
Garnier's Opera House is a revival of the Gothic style.
What is Garnier's Opera House ?The Palais Garnier usually referred to as the Garnier Opera House is a renowned opera house in Paris, France. Charles Garnier, a French architect, created the design which was finished in 1875.
The opera house is well-known for its spectacular Beaux-Arts and Gothic-inspired architecture as well as for its extensive history and connections to some of the most well-known composers and performers of the 19th and 20th centuries.
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A contractor can by two types of wood. she got 45 expensive wood and 60 cheap wood for the same total price. if the 45 expensive wood cost $3.00 more than the 60 cheap wood, then which equation below shows the correct relationship between the 2 types of wood that she purchased. Also (x =price of the 60 cheap wood)
A.45(x+3)=60x
B.45(x-3)=60x
C.60(x-3)=45x
D.60(x+3)=45x
The correct equation is 45(x+3)=60x. Option A
How do you form an equation?We are told in the word problem that the contractor got 45 expensive wood and 60 cheap wood for the same total price and that the 45 expensive wood cost $3.00 more than the 60 cheap wood.
If x =price of the 60 cheap wood then we have that 45(x + 3) + 60x = total cost of the wood.
45x + 135 + 60x = total cost of the wood
105x + 135 = total cost of the wood
45(x + 3) + 60x = 105x + 135
Simplifying;
45(x + 3) = 60x
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CAN SOMEONE HELP WITH THIS QUESTION?✨
In the initial value problem the value of f(π/5) ≅ -5.26
How to solve the initial value problem?Given the initial value problem f"(x) = -25sin(5x) and f'(0) = 3 and f(0) = -2, we desire to find f(π/5). We proceed as follows
f"(x) = -25sin(5x)
Integrating both sides of the equation, we have that
∫f"(x) = ∫-25sin(5x)
f'(x) = -25∫sin(5x)
f'(x) = -25∫sin(5x)
f'(x) = -25(-cos(5x))/5 + C
f'(x) = 5cos(5x) + C
Given that f'(0) = 3, substituting the values of the variables into the equation, we have that
f'(x) = 5cos(5x) + C
f'(0) = 5cos(5(0)) + C
3 = 5cos(0) + C
3 = 5(1) + C
3 = 5 + C
C = 3 - 5
C = -2
So, we have that f'(x) = 5cos(5x) - 2
To find f(x), we integrate f'(x). So, we have that
f'(x) = 5cos(5x) - 2
∫f'(x) = ∫(5cos(5x) - 2)dx
f(x) = ∫5cos(5x)dx - ∫2dx
= 5sin(5x)/5 - 2x + C'
f(x) = sin(5x) - 2x + C'
Since f(0) = -2, we have that
f(0) = sin(5(0)) - 2(0) + C'
-2 = sin0 - 0 + C'
- 2 = 0 - 0 + C'
- 2 = 0 + C'
C' = -2
So, substituting C' into the equation, we have that
f(x) = sin(5x) - 2x + C'
f(x) = sin(5x) - 2x - 2
So, to find f(π/5), substituting this into the equation, we have that
f(π/5) = sin(5π/5) - 2(π/5) - 2
f(π/5) = sin(π) - 2π/5 - 2
f(π/5) = 0 - 2π/5 - 2
f(π/5) = - 2π/5 - 2
f(π/5) = (- 2π - 10)/10
f(π/5) = - 2(π + 10)/10
f(π/5) = - 2(π + 10)/5
f(π/5) = - 2(π + 10)/5
f(π/5) = - 2(3.142 + 10)/5
f(π/5) = - 2(13.142)/5
f(π/5) = - 26.284/5
f(π/5) = -5.2568
f(π/5) ≅ -5.26
So, f(π/5) ≅ -5.26
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10 minutes! help!
suppose f(x) is given by following graph
Answer:
this is hard
Step-by-step explanation:
is it trigonometry?
Both circles have the same center. The circumference of the inner circle is 18.84 feet. What is the area of the shaded region?
The area of the shaded region is π(R + 3)² - 9π where R is teh radius of the outer circle
Calculating the area of the shaded regionThe circumference of the inner circle is 18.84 feet
So, we have
2πr = 18.84
Divide by 2π
r = 18.84/2π
Evaluate
r = 3.0
So, the area of the inner circle is
A = πr²
This gives
A = π * 3²
Evaluate
A = 9π
The shaded area is
Area of big - Area of inner circle
So, we have
Shaded area = π(R + 3)² - 9π where R is teh radius of the outer circle
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A data set contains three points, and two of the residuals are-7 and 4. What is the third residual?
A. 7
B. -3
C. -4
D. 3
Answer:
D
Step-by-step explanation:
We know that the residual is the difference between the observed value and the predicted value for a given point. Let's assume that the predicted values for the three points in the data set are denoted by ŷ₁, ŷ₂, and ŷ₃, and the observed values are denoted by y₁, y₂, and y₃.
We can write the residuals as:
e₁ = y₁ - ŷ₁
e₂ = y₂ - ŷ₂
e₃ = y₃ - ŷ₃
We are given that two of the residuals are -7 and 4.
Let's assume that e₁ = -7 and e₂ = 4.
We can use these values to find the third residual e₃.Since the sum of residuals is always equal to zero, we have:
e₁ + e₂ + e₃ = 0
Substituting the values of e₁ and e₂, we get
:-7 + 4 + e₃ = 0
Simplifying, we get:
e₃ = 3
Therefore, the third residual is 3, which is option D.
percents (round to 1. Jing has a .320 on-base percentage. Over the course of a 3-game series, Jing will bat 14 times. Assume that the chance of getting on base a fixed number of times is a binomial distribution. *tel Is the distribution for Jing getting on base symmetric, skewed right or skewed left?
(bOn average how many times will Jing get on base? Round to nearest 10th.
(c) What is the chance of Jing getting on base exactly once? Use the formula P(X = x) = nCx * px qn-* to find an expression and then use your calculator to find the numeric answer.
(d) ] What is the chance of Jing getting on base at least 5 times? Write down P(X...) = and the calculator expression with binomedf which you used to find the numeric answer (think complement)
2. The masses for eggs at a farm are normally distributed with mean 60 g and standard deviation 10 g.
(a) Find the chance that an egg has a mass of exactly 60 g (infinite precision)? -x=60 Label X = 60. do normal distribution curve graph
Explain your answer.
(b) Find the chance that an egg has a mass of less than 70 g. Shade area and label it
do standard deviation curve graph
using P(X < 70)
The expected number of hits
= [tex]\sum xP(X=x) = 0.96[/tex]
How to solveLet X be a Binomial random variable that denotes the number of hits
where the parameters are n = 3, p = 0.320
P(X = x) = [tex]\binom{3}{x}*0.32^{x}*0.68^{3-x} , x = 0,1,2,3[/tex]
(a) The probability distribution of X is
P(X = 0) = 0.3144
P(X = 1) = 0.4439
P(X = 2) = 0.2089
P(X = 3) = 0.0328
X 0 1 2 3
P(X = x) 0.3144 0.4439
0.2089
0.0328
(c) Expected number of hits
= [tex]\sum xP(X=x) = 0.96[/tex]
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I have to factor, solve, and sketch a parabola for the following, but I do not know how.
2x(x-7)
(x+4)(x-4)
The parabola for the expression are given in attachment.
A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix
y=2x(x-7)
Let us take few values of x and y and draw the parabola
Similarly we draw the graph for (x+4)(x-4)
Hence, the parabola for the expression are given in attachment.
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