The cost, $C, of hiring a car for d days when on holiday is given by C = 20d + 50.
- Draw a graph of C against d for 0 ≤ d ≤ 7.
Answers
Your limits for your “d” (x axis) are equal to or greater than 0 and less than or equal to 7
Your x axis is labeled “d” with 0 - 7
Your y axis is labeled C
Your y intercept (starting point on y axis) is 50
Your (0, 50) starting point and (7, 190) reflect these limits
The graph of C against d for 0 ≤ d ≤ 7 is a straight line passing through (0, 50), (1, 70), ...
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Given is an equation,
C = 20d + 50
We have to find the graph of the equation.
The points on the graph will be,
C(0) = 50
C(1) = 70
C(2) = 90
.........
The graph will be a straight line passing through (0, 50), (1, 70), (2, 90), ...
The graph is given below.
Hence the graph will be a straight line passing through (0, 50), (1, 70), ...
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Related Questions
2. Recall the 7 bridge problem you studied in this lesson. As you
saw, there was no possible path which uses each bridge once
and only once. This is because there were more than two dots
which had three lines connected to them.
Can you add a single bridge so that there is a path which
uses each bridge once and only once? Give one example
and indicate what points you have to use for your starting
and stopping point.
Answers
There is no possible way that you can add a single bridge so that there is a path that uses each bridge once and only once.
Hence, the answer is no solution.
What is the seven bridge problem?The seven bridges problem was seven bridges linking the various land masses of the town of Königsberg which straddles the Pregel River and that contained two islands.
The challenge was coming up with a route through the city that would only cross each of those bridges once. blatantly inappropriate. Euler demonstrated that the issue cannot be solved.
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a 14 oz bottle of hair gel lasts Emily 21 weeks. how long will and 18 oz bottle last her?
Answers
Answer:
27 weeks
Step-by-step explanation:
first you would figure out how long one oz. of hair gel would last her. You would do this by dividing 21 by 14. 21/14 is 1.5. Next, if 1 oz. lasts 1.5 weeks, and there is a 18 oz bottle, then all you need to do is multiply 18 by 1.5. 18 times 1.5 is 27. Therefore, an 18 oz. bottle of hair gel would last Emily 27 weeks.
in 1991, the moose population in a park was measured to be 3270. by 1997, the population was measured again to be 4770. if the population continues to change linearly: a.) find a formula for the moose population, , in terms of , the years since 1990
Answers
Step 1: Calculate the rate of change in the moose population.
The rate of change in the moose population can be calculated by subtracting the 1991 population (3270) from the 1997 population (4770) and dividing the result by the number of years (7).
Therefore, the rate of change in the moose population is (4770 - 3270) / 7 = 700 moose/year.
Step 2: Find the formula for the moose population in terms of the years since 1990.
The formula for the moose population in terms of the years since 1990 is P(t) = 3270 + 700t, where t is the number of years since 1990.
A population may grow as a result of certain changes. Animal populations that consume certain plants may grow if there are more plants present than typical in a region. If the population of one species rises, the population of animals that consume that animal may also rise.
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Nader plans to buy a used car. He can afford to pay $280 at the end of each month for three years. The best interest rate he can find is 9.8%/a, compounded monthly. For this interest rate, the most he could spend on a vehicle is $8702.85. Determine the amount he could spend on the purchase of a car if the interest rate is 9.8%/a, compounded annually.
Answers
Nader can spend on the purchase of a car if the interest rate is 9.8%/a, compounded annually, is $8715.82
Compound interest is the interest that is earned on the principal amount of a loan or investment, as well as the interest that is earned on the accumulated interest.
In this case, Nader wants to purchase a used car and can afford to pay $280 per month for three years. He has found the best interest rate he can get, 9.8%/a, compounded monthly. However, if the interest rate is compounded annually, the most he could spend on the vehicle will be different.
To calculate this, we need to use the formula for compound interest, which is
A = P(1 + r)ˣ,
where A is the total amount, P is the principal amount, r is the interest rate, and x is the time period.
When we apply the values on it, then we get,
=> A = $8702.85(1 + 9.8)³
=> A = $8715.82
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equations 4 x minus 5 y = 5, 3 x + 10 y = 20, 4 x minus 5 y = negative 5, and 3 x + 10 y = negative 20 are shown on the graph below.
On a coordinate plane, there are 4 lines. Green line goes through (0, 1) and (2.5, 3). Orange line goes through (0, negative 1) and (2.5, 1). Blue line goes through (0, 2) and (3.5, 1). Pink line goes through (0, negative 2) and (3.5, negative 3).
Which system of equations has a solution of approximately (–2.7, –1.2)?
4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20
4 x minus 5 y = 5 and 3 x + 10 y = 20
4 x minus 5 y = 5 and 3 x + 10 y = negative 20
4 x minus 5 y = negative 5 and 3 x + 10 y = 20
Answers
The solution is Option A.
The system of equations is 4x - 5y = -5 and 3x + 10y = -20
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
4x - 5y = -5 be equation (1)
3x + 10y = -20 be equation (2)
Now , the solution to the equations is ( -2.7 , -1.2 )
Substituting the values of x and y in the equation , we get
4 ( -2.7 ) - 5 ( -1.2 ) = -5
-10.8 + 6 = -5
-4.8 ≈ 5
And ,
3 ( -2.7 ) + 10 ( -1.2 ) = -20
-8.1 + ( -12 ) = -20
-8.1 - 12 = -20
-20.1 ≈ 20
Hence , the equations are 4x - 5y = -5 and 3x + 10y = -20
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i grow 2 cupcakes every 8 hours for 24 hours
how many cupcakes grow?
Answers
At the end of 24 hours, 48 cupcakes will have grown. Every 8 hours, two cupcakes are grown, so after 24 hours, 24 sets of two cupcakes have been grown. Therefore, 48 cupcakes have grown.
At the end of 24 hours, 48 cupcakes will have grown. This is because every 8 hours, two cupcakes are grown. After 24 hours, 24 sets of two cupcakes have been grown. This means that in the 24 hours, two cupcakes were grown a total of 24 times. When this total is multiplied by two, it results in 48 cupcakes being grown. Therefore, after 24 hours, 48 cupcakes have grown. It is important to note that this is only the number of cupcakes that have grown in the 24 hour period, and not the total number of cupcakes. This number includes any cupcakes that were already present at the beginning of the 24 hour period, so the total number of cupcakes at the end of the 24 hour period could be higher than 48.
1. Calculate the number of sets of cupcakes grown in 24 hours: 24 hours divided by 8 hours = 3 sets
2. Calculate the number of cupcakes grown in 24 hours: 3 sets multiplied by 2 cupcakes = 6 cupcakes
3. Calculate the total number of cupcakes grown in 24 hours: 6 cupcakes multiplied by 4 sets = 24 cupcakes
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Can someone please help me with this question. If you do, you’ll be rewarded with brainliest and extra points!
Answers
Answer:
Angle D
Step-by-step explanation:
The answer should be Angle D
Answer:
hey! the answer is angle D
Because in quadrilateral ECFD and WVUX
Step-by-step explanation:
ANGLE E = ANGLE W
ANGLE C = ANGLE V
ANGLE F = ANGLE U
AND,
ANGLE D = ANGLE X
the maximum weight, w, that a stepladder can hold is 250 pounds. which inequality represents this situation?
Answers
w ≤ 250
This inequality can be used to represent the maximum weight that a stepladder can hold, which is 250 pounds. In other words, the weight, w, must be less than or equal to 250 pounds.
The weight, w, must be less than or equal to 250 pounds. This inequality can be used to represent the maximum weight that a stepladder can hold, which is 250 pounds. In other words, if the weight of the object being placed on the stepladder is greater than 250 pounds, it is not safe to use the stepladder. This inequality helps to ensure the safety of the person using the stepladder, as it limits the amount of weight that can be placed upon it. Furthermore, it also helps to protect the stepladder itself, as it prevents it from being overloaded with too much weight, which could cause it to break or malfunction. In conclusion, the inequality w ≤ 250 represents the maximum weight that a stepladder can safely hold.
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A maintenance worker needs to wax a restaurant floor shaped like the image shown.
If the wax cost $1.38 a square foot, how much will the wax cost to cover the floor?
(A six-sided figure. There is a horizontal base of 35 feet then another horizontal base below it of 20 feet. The longest side is to the right and is 40 feet. The top is 30 feet. There is a perpendicular from the vertex of the top to the first base of 35 that is labeled 15 feet.)
Answers
Based on the total area of the floor, the cost to cover the floor is $1569.75.
What is the area of the floor?The area of the floor is calculated as follows:
Area of floor = Area of the trapezium + Area of rectangle
Area of the trapezium = (a + b)/ * h
a = 30 - 20 ft or 10 ft
b = 35 ft
h = 15 ft
Area of the trapezium = (10 + 35)/2 * 15
Area of the trapezium = 337.5 ft²
Area of rectangle = 40 * 20
Area of rectangle = 800 ft²
Area of floor = 800 ft² + 337.5 ft² or 1137.5 ft²
The cost to cover the floor = 1137.5 * $1.38
The cost to cover the floor = $1569.75
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Which figure has the same area as the parallelogram? pls answer i need this tonight. 32.2 is at the bottom and 20.5 is on the left side
Answers
The area of the parallelogram that has a width of 32.2 units and a height of 12.6 units will be 405.72 square units.
What is the area of the parallelogram?Let H be the height and W be the width of the parallelogram. Then the area of the parallelogram will be given as,
Area of the parallelogram = H × W square units
The width of the parallelogram is 32.2 units and the height of the parallelogram is 12.6 units. Then the area of the parallelogram is given as,
A = 32.2 x 12.6
A = 405.72 square units
The area of the parallelogram that has a width of 32.2 units and a height of 12.6 units will be 405.72 square units.
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for three years a local coffee shop rewards program offered 1 point for every whole dollar spent and an additional 5 points for each purchase suppose the shop changes the points offered to an additional 8 points for each purchase and 1 point for every whole dollar spent write two step rules f(x) and g(x) that model each rewards program
Answers
On solving the provided question, we can say that The function that can be made are f(x)= INT (x) + 5 and g(x)= INT (x) + 8
Describe function.Quantities and their variations, equations and related structures, shapes and their placements, and locations where they can be found are all included in the study of mathematics.
The relationship between a group of inputs, each of which has a related output, is referred to as a "function." A function is a relationship between inputs and outputs where each input produces a single, unique result. Every function has a domain and a codomain, often known as a scope. F is typically used to denote functions (x).
An x is the input. Based on the following criteria, there are four primary categories of functions that are available: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
The function that can be made are -
Let x = dollar spent
coffee shop rewards program offered 1 point for every whole dollar spent and an additional 5 points for each purchase
⇒ f(x)= INT (x) + 5
the shop changes the points offered to an additional 8 points for each purchase and 1 point for every whole dollar spent
⇒ g(x)= INT (x) + 8
The graph of g will be a vertical translation and 3 units up from the graph of f.
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1 kg of wheat costs $10 how much does 260g cost
Answers
260 g is equivalent to 0.26 kg
0.26 x 10 = 2.6
why can i not type anything
now I can but pleas read the image and elp
Answers
Answer:
Step-by-step explanation: have u tried turning off and back on again
Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 5 units long. Point C is on the line x = −2. If the area of ΔABC is 12.5 square units, then find a possible y-coordinate of point C. (1 point)
5
6
7
8
Answers
Answer: The area of right triangle ABC can be found using the formula (1/2)bh, where b is the length of the base and h is the height. Since the base of the triangle is 5 units and the area is 12.5 square units, the height must be 2.5 units.
Knowing that point C is on the line x = -2, we can use the height of 2.5 units to find the y-coordinate of point C.
Starting from the line y = 2, moving 2.5 units down will give us a y-coordinate of y = 2 - 2.5 = -0.5.
So, a possible y-coordinate of point C is -0.5.
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
A = 1/2 (b)(h)
12.5 = 1/2 (5)(h)
Multiply both sides by 1/2 or 2 to cancel out the fraction
2 x 12.5 = 1/2 (5)(h) x 2
25 = 5h
Divide both sides by 5 to get h on its own
25/5 = 5h/5
h = 5
HOWEVER, 5 is not our answer because we started on y = 2.
So,
5 + 2 = 7
Ravi had a rope. He used 45 cm of the rope to tie a parcel
He then cut the remaining rope equally into 4 pieces. Each piece was 65 cm long. (A)
Answers
As per unitary method,
a) The length of the rope left after tying the parcel 260 cm
b) The initial length of the rope was 305cm.
The unitary method is a mathematical tool used to solve problems involving the partition of a whole into parts.
(a) To find the length of the rope left after tying the parcel, we subtract the length of the rope used to tie the parcel from the initial length of the rope. The length of the rope left is:
=> Initial length of the rope - Length of rope used to tie the parcel = Length of rope left
We are told that Ravi used 45cm of the rope to tie a parcel. Therefore, the length of rope left can be expressed as:
Initial length of the rope - 45 = Length of rope left
(b) To find the initial length of the rope, we add the length of the rope used to tie the parcel to the length of the rope left.
We know that the length of the rope left is divided into 4 pieces of 65cm each. Therefore, the total length of the rope left is
=> 4 x 65 = 260cm.
We can now use this information to find the initial length of the rope:
Length of rope left + Length of rope used to tie the parcel = Initial length of the rope
260 + 45 = 305cm
Complete Question:
Ravi had a rope. He used 45cm of the rope to tie a parcel. He then cut the remaining rope equally into 4 pieces. Each piece was 65cm long.
(a) Find the length of the rope left after tying the parcel.
(b) How long was the rope at first?
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Mr.White is renting a van for one week and a few additional days d he does not have to pay a per mile fee evaluate the expression 260+70d to find how much he will pay for a 10-day rental
Answers
Answer:
For a 10-day rental, d = 10 - 7 = 3 days.
Step-by-step explanation:
So, the total amount Mr. White has to pay is 260 + 70d = 260 + 70 * 3 = 260 + 210 = 470 dollars.
Help me please not sure how to do this. it doesn't make sense to me.
Answers
Answer:
? = 5cm
Step-by-step explanation:
We know the right side is 14 cm; that is the combination of the 9 cm and the length of the ?
So, to find the ? we take
14 - 9 = 5cm
So, the ? equal 5cm
A ballon archway has been ordered for decorating the high school gym for a 1950 style prom. The archway will contain 275 balloon , each holding 1. 2 liters of helium. Each balloon has a mass of 2. 7 milligrams when empty , and all the string and fixing that hold the balloon together total another 45 grams , If the helium has a density of 0. 1785 grams per liter , what is the mass of the entire archway ?
Answers
Step 1: Calculate the total volume of helium needed for the archway.
The total volume of helium needed for the archway is 275 balloons x 1.2 liters/balloon = 330 liters.
Step 2: Calculate the mass of the helium needed for the archway.
The mass of the helium needed for the archway is 330 liters x 0.1785 grams/liter = 58.85 grams.
Step 3: Calculate the mass of the balloons and string.
The mass of the balloons and string is 275 balloons x 2.7 milligrams/balloon + 45 grams = 74.75 grams.
Step 4: Calculate the total mass of the archway.
The total mass of the archway is the sum of the mass of the helium and the mass of the balloons and string.
Therefore, the total mass of the archway is 58.85 grams + 74.75 grams = 133.6 grams.
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In the very center of the Irenic Sea lie the beautiful Nisos Isles. In 1998 the number of people on these islands was only 200, but the population triples every 25 years. Queen Irene has decreed that there must be at least 1.5 square miles for every person living in the Isles. The total area of the Nisos Isles is 24,900 square miles. c In how many years, approximately, from 1998 will the population of Nisos be as large as Queen Irene has proclaimed that the islands can support?
Answers
The population of Nisos be as large as Queen Irene has proclaimed that the islands can support is 16600.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Queen Irene has decreed that there must be at least 1.5 square miles for every person living in the Isles.
The total area of the Nisos Isles is 24,900 square miles.
Here, 24,900/1.5
= 16600
Therefore, the population of Nisos be as large as Queen Irene has proclaimed that the islands can support is 16600.
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There were 84 runners to start a race in the first half of the race 1/3 of them dropped out in the second half of the race 2/7 of the remaining runners dropped out how many runners finish the race 
Answers
Answer:
40
Step-by-step explanation:
84 runners to start a race
in the first half of the race 1/3 of them dropped out = 84/3 = 28 dropped out
so 56 left
in the second half of the race 2/7 of the remaining runners dropped out
2/7 *56 =16 dropped out
so 56-16 = 40 left
how many runners finish
40
Jen is a biologist studying endangered and at-risk species in Mongolia. When she first started
studying the snow leopard population, she estimated that there were 1,000 snow leopards in
Mongolia. After one year, Jen estimated that the population had decreased to 990. She
expects the snow leopard population to continue decreasing each year.
Write an exponential equation in the form y = a(b) that can model the estimated snow
leopard population in Mongolia, y, in x years.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y =
00
(0)
To the nearest whole number, how many snow leopards can Jen expect there to be in
Mongolia in 5 years?
snow leopards
O
3
31
D
2
Answers
The population of the leopard in 5 years is 951
How to determine the exponential functionFrom the question, we have the following parameters that can be used in our computation:
Initial population, a = 1000
After one year = 990
This means that the rate r is
r = 990/1000
r = 0.99
The function is represented as
y = ar^x
So, we have
y = 1000(0.99)^x
In 5 years, we have
y = 1000(0.99)^5
y = 951
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a scatter plot shows multiple select question. if an obvious association exists between two variables. pairs of observations (x1, y1) . . . (xn, yn) on an x-y graph. only nonlinear relationships. only linear relationships..
Answers
A linear relationship can be expressed by the equation y = mx + b, where m is the slope of the line and b is the y-intercept.
This equation can be used to calculate the relationship between two variables, x and y. For example, if we have two sets of data points (x1, y1)…(xn, yn) we can calculate the slope m and the y-intercept b as follows:
m = (sum of (x_i - x_mean)*(y_i - y_mean))/(sum of (x_i - x_mean)^2)
b = y_mean - m*x_mean
Where x_mean and y_mean are the sample means of the x and y variables respectively.
Once we have calculated m and b, we can use the equation y = mx + b to describe the linear relationship between x and y. We can also use this equation to predict the value of y for a given x value. For example, if m = 2 and b = 0, then the equation becomes y = 2x and we can predict that when x = 1, y = 2.
In contrast, a nonlinear relationship is one which cannot be described by the equation y = mx + b, as the relationship between x and y is not linear. Instead, a nonlinear relationship is one in which the relationship between x and y is described by a more complex equation, such as y = ax^2 + bx + c.
To summarise, a linear relationship between two variables can be described by the equation y = mx + b, where m is the slope and b is the y-intercept, while a nonlinear relationship is one which cannot be described by this equation and is instead described by a more complex equation.
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what does it mean if the first of a two step tuberculin skin test is negative and the second is positive? what does it mean if both tests are negative?
Answers
It reads the second test. o Negative - assume that the person is not infected. o If positive, take a prior TB infection into consideration. Any asymptomatic person whose chest X-ray shows no signs of an active illness will be forwarded to the health department.
What brings about TB infection?
The bacteria Mycobacterium tuberculosis is the one that causes tuberculosis (TB).
When someone who has active TB disease in their lungs coughs or sneezes and the TB bacteria-containing droplets are ejected, the disease is disseminated when the other person inhales them.
What transpires if you have TB?
Feelings of sickness or weakness, weight loss, a high temperature, and nocturnal sweats are some of the common signs of TB disease.
Coughing, chest pain, and the coughing up of blood are other signs of TB lung disease. Depending on the location affected, TB illness symptoms may manifest in various body parts.
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3/4 - 1 1/4
Just need an step by step
Answers
3/4-2 3/4= -2
Answer:
Step-by-step explanation: 3/4 + 11/4= (3 + 11)/4
= 14/4
= 7/2 or 3[tex]\frac{1}{2}[/tex]
At lake view middle school, there are 2 homeroom teachers assigned to every 48 students. Is the number of students at this school proportional to the number of teachers? Explain your reasoning
Answers
Answer:
Yes
Step-by-step explanation:
Since it literally says "there are 2 homeroom teachers assigned to every 48 students", this means that it is a ratio because 2 teachers: 48 students are proportional.
HELP DUE TOMORROW WILL GIVE U BRAINLIEST!! solve for the value of q
Answers
Answer:
Step-by-step explanation:
The straight line is an angle of 180. If given an angle of 57 and 90, subtract from 180.
180 - 90 - 57 = 8q + 1
33 = 8q + 1
8q = 32
q = 4
Step by step
The straight angle has a sum of 180 degrees
We know 57
We know the right angle is 90
The unknown angle is 8q + 1
So the sum of
57 + 90 + 8q + 1 = 180
Simplify
148 + 8q = 180
Subtract 148 from both sides to isolate variable
148 - 148 + 8q = 180 - 148
Simplify
8q = 32
Divide both sides by 8 to solve q
8/8q = 32/8
Simplify
q = 4
Now we solve the unknown
8q + 1
Sub value of q into equation
(8)(4) + 1
32 + 1 = 33
Now add all 3 angles
33 + 90 + 57 = 180
Problem solved!
If each quadrilateral below is a square, solve for x.
X =
Answers
Answer:
x=11°
Step-by-step explanation:
We can see that the square is split into 4 triangles. We also have the midpoint T. Because Each angle of a square is 90 degrees and ∠PQR is divided in half, m∠PQT=45 degrees. By substitution, (4x+1)=45°
Solve:
(4x+1)=45°
4x=44°
x=11°
PLEASE MARK AS BRAINLIESTjesse was ranked 45th in his graduating class of 180 students. at what percentile is jesse's ranking? (round your answer to the nearest whole number.)
Answers
Jesse's ranking is 25th percentile.
Jesse's ranking can be calculated using the following formula:
Percentile = (Jesse's ranking / Total number of students in class) x 100
In this case, Percentile = (45/180) x 100 = 25th Percentile
Therefore, Jesse's ranking is 25th percentile.
To calculate percentile, we divide the rank of the student with the total number of students in the class and then multiply the result with 100. In this case, Jesse was ranked 45th in a class of 180 students and so his percentile is 25%. Percentile is a measure that helps us to compare individuals in a group. It helps us to know the relative performance of a person in a given group of people. Generally, a higher percentile indicates better performance than the other students in the group.
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An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 8.
Event B: The sum is an even number.
Write your answers as fractions.
Answers
Answer:
Step-by-step explanation:
There are 6 possible outcomes for each of the two rolls, so there are 6 x 6 = 36 possible outcomes for the sum of two rolls.
Event A: The sum is greater than 8.
There are five possible ways to achieve a sum greater than 8: (3, 6), (4, 5), (4, 6), (5, 4), and (6, 3). Each of these outcomes has a probability of 1/36. Therefore, the probability of event A is:
P(A) = 5/36
Event B: The sum is an even number.
There are three possible ways to achieve an even sum: (1, 1), (2, 2), and (3, 3). Each of these outcomes has a probability of 1/36. There are also three possible ways to achieve a sum of 4: (1, 3), (2, 2), and (3, 1). Each of these outcomes has a probability of 1/36. Similarly, there are three possible ways to achieve a sum of 6, 8, 10, and 12. Therefore, the probability of event B is:
P(B) = (3 + 3 + 3 + 3 + 3 + 3)/36
P(B) = 18/36
P(B) = 1/2
Therefore, the probability of event A is 5/36 and the probability of event B is 1/2.
Find the number that should be added to the expression to create a perfect square trinomial.
x^2-7x+?
Answers
Answer:
To find the
c
value
c
=
(
b
2
)
2
, divide the coefficient of
x
by
2
and square the result.
49
4
Add
49
4
to get the perfect square trinomial.
x
2
−
7
x
+
49
4