The required answers are
a) b = -4
b) x = 23.45
c) p = 201
Distributive Property:The distributive property implies that multiplying a number by the sum of two or more addends yields the same result as dividing the multiplier, multiplying each addend individually, and combining the products . It can be given as,
a (b+c) = d
[tex](a*b) + (a*c) = d[/tex]
Now in the given question,
a) −1/2(b−6)= 5
by distributive property , we have
[tex](\frac{-1}{2} *b)-(\frac{-1}{2}*6 )=5\\\frac{-1}{2}b+3=5\\\frac{-1}{2}b=2\\b=-4[/tex]
b) 0.4(x−0.45)= 9.2
by distributive property , we have
0.4x - 0.4(0.45) =9.2
0.4x -0.18 = 9.2
0.4x = 9.38
x = 23.45
c) −4(p−212)=44
by distributive property , we have
-4p +4 (212) = 44
-4p + 848 =44
-4p = 44 - 848
-4p = -804
p = 201
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1.1 write down the loan term of the truck in years
Answer:
if its 50,000k for example it is gonna be Loan term in years is 7 it depends on the price
Step-by-step explanation:
Select all factors of the expression 7x³ - 28xy²
Answer:
7 and 7x
Step-by-step explanation:
We distributing these factors are the only that can make sense
hich statements describe the length of the sides of an isosceles right triangle if one leg is 6√2 feet? Select all that apply.
The length of the other leg is 6 feet.
The length of the hypotenuse is 12 feet.
The length of the hypotenuse is 6 feet.
The length of the other leg is 6√2 feet.
The correct statements are:
The length of the other leg is 6√2 feet.
The length of the hypotenuse is 12 feet.
What is Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given:
One leg of an isosceles triangle is 6√2 feet.
As, we know isosceles triangle two of its sides equal in length then the other side can be 6√2 feet.
Now, using Pythagoras theorem
H² = P² + B²
H² = (6√2)² + (6√2)²
H² = 72 + 72
H² = 144
H= 12 units
The statements that applies here are:
The length of the other leg is 6√2 feet.
The length of the hypotenuse is 12 feet.
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Answer:
The answer is B and D
Step-by-step explanation:
I took the test.
let me know if you would like an explanation down in the comments!
A 13-foot ladder is leaning up against a building. The top of the ladder reaches the wall at a height of 12 feet. How far is the
bottom of the ladder from the building? Find the angle (2B) that the ladder makes with the ground?
A
12
C
building
13
ladder
X
ground
B
How far is the ladder from the building? Find x = ?
Keep the results to the nearest whole number.
feet
Find the angle that the ladder makes with the ground? LB =
Keep the results to the nearest whole number.
The angle that the ladder makes with the ground is ∠B = 67.38°.
The distance between the ladder from the building is 5 feet.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
Given that a 13-foot ladder is placed up against a wall.
The ladder's top touches the wall at a height of 12 feet.
As per the given question, we have the right triangle ΔABC
Using sine ratio to find angle ∠B as:
sin ∠B = AC/ AB
sin ∠B = 12/13
∠B = sin ⁻¹(12/13)
∠B = 67.38°
Now, using Pythagoras's theorem to find distance x as:
AC² + BC² = AB²
12² + x² = 13²
144 + x² = 169
x² = 169 - 144
x² = 25
x = 5
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Simplify the following using the properties of exponents.
Answer:
Step-by-step explanation:
7/x^-8 = 7x^8
4. The table shows the number of beads used to make a necklace. Ginger wants to make a smaller necklace using the same ratio of pink to white beads. How many different necklaces could Ginger make? How do you know?
The number of different necklaces that Ginger can make, with the same ratio of pink to white beads is 5 necklaces.
How to find the number of necklaces ?To find the number of necklaces, find the smallest equivalent ratio of pink to white beats used to make the necklace.
Pink beads : White beads
30 : 35
( 30 / 5 ) : ( 35 / 5 )
6 : 7
To find the find the number of beads, divide the number of pink beads available by the number of pink beads in the ratio:
= 30 / 6
= 5 necklaces
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A TV at £800 plus VAT at 20%
What is the total cost of the TV
Answer:
it will be £960
Step-by-step explanation:
first £800×20/100
simplify £8×20
£160= VAT
Total cost=VAT+ normal cost
£160+£800
=£960
anyone knows the answer for this?
The blank in the statement should be filled in with "ΔVYZ." which is proven by the definition of congruence.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbolΔ.
Since S, T, and U are midpoints in ΔVYZ, it follows that:
ST is a median of ΔVYZ, meaning it bisects the side VZ into two equal parts.
TU is a median of ΔVYZ, meaning it bisects the side VY into two equal parts.
SV is a median of ΔVYZ, meaning it bisects the side YZ into two equal parts.
Using the definition of congruence, two triangles are congruent if their corresponding sides are equal in length and their corresponding angles are equal in measure. Since medians bisect their corresponding sides, it follows that all three pairs of corresponding sides in ΔYST, ΔTUZ, and ΔSVU are equal in length.
Furthermore, since the medians divide the triangle into two smaller triangles that are similar to the original triangle, it follows that the corresponding angles in ΔYST, ΔTUZ, and ΔSVU are equal in measure.
Therefore, ΔYST ≅ ΔTUZ ≅ ΔSVU ≅ ΔVYZ.
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do you believe that this conjectures "all numbers coming from the question p=n²-n+41 are prime numbers"?
Answer: No
Step-by-step explanation:
Valid only for numbers less than 40.
P(40) = 412 which is not a prime number
A gardener made a scale drawing of a lawn with a scale factor of 1:15. The dimensions of his drawing are 6 inches long by 3 inches wide. his partner plans to make another scale drawing of the lawn, but with a scale factor of 1:5. What are the dimensions of his scale drawing?
A. The length is 1 inch and the width is 2 inch
B. The length is 2 inch and the width is 1 inch
C. The length is 9 inch and the width is 18 inch
D. The length is 18 inch and the width is 9 inch
D. The length is 18 inches and the width is 9 inch
What is a scale factor?
A scale factor resembles a unit scale in several ways. It is a ratio that assesses the relationship between scale and real dimensions. Because it doesn't provide any specified units, it differs.
It is given that the scale factor of the gardener is 1:15.
The dimensions of his drawing are 6 inches long by 3 inches wide.
Therefore the original dimensions are 6*15= 90 inches.
3*15= 45 inches.
The scale of his partner is 1:5.
So, we have to divide the original dimensions by 5.
The dimensions of the scale drawing are 90/5= 18 inches long
45/5=9 inches wide.
Therefore length is 18 inches and the width is 9 inches.
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rulers are sold in boxes of 12
protractors are sold in boxes of 8
A teacher would want to buy the same number of rulers and protractors
work out the smallest number of boxes of each iteam he shoould by
ruler boxes?
protractor boxes?
Answer:
Step-by-step explanation:
Find the GCF:
12, 24, 36
8, 16, 24, 32
GCF is 24
The lowest amount of boxes the teacher could buy would be 2 boxes of Rulers and 3 boxes of Protractors. I hope this helped
relationship btw three set( in a market survey 100traders sell fruit, 40sell Apple, 46 sell Orange, 50 mango, 15sell Apple and Mango, 10 sell the three
fruit draw a venn diagram
Number of student that sell mango and orange
Answer:
7 traders sell oranges and mangoes alone.
Step-by-step explanation:
(21 + 4 + 5 + 10 + x + 35 – x + 32 – x = 100)
(107 – x = 100)
(x = 107 – 100 = 7)
Therefore, 7 traders sell oranges and mangoes alone.
(b) (312_{four} + 52_{x} = 96_{ten})
(312_{4} = 3 times 4^{2} + 1 times 4^{1} + 2 times 4^{0})
= (48 + 4 + 2 = 54_{10})
(52_{x} = 5 times x^{1} + 2 times x^{0})
= ((5x + 2)_{10})
(therefore 54 + (5x + 2) = 96)
(56 + 5x = 96 implies 5x = 96 – 56 = 40)
(x = 8)
(therefore 312_{4} + 52_{8} = 96_{10})
Determine if events A and B are independent.
P(A)=1/5, P(B)=7/20, P(A and B)= 7/100. The events A and B are independent.
What is independent probability?Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B).
1) P(A)=1/5, P(B)=7/20, P(A and B)= 7/100
Here, P(A and B)= P(A)×P(B)
= 1/5 × 7/20
= 7/100
So, the events A and B are independent.
2) P(A)=13/20, P(B)=13/20, P(A and B)= 169/400
Here, P(A and B)= P(A)×P(B)
= 13/20 × 13/20
= 169/400
So, the events A and B are independent.
3) P(A)=7/10, P(B)=2/5, P(A and B)= 21/100
Here, P(A and B)= P(A)×P(B)
= 7/10 × 2/5
= 14/50
So, the events A and B are not independent.
2) P(A)=1/5, P(B)=1/5, P(A and B)= 1/25
Here, P(A and B)= P(A)×P(B)
= 1/5 × 1/5
= 1/25
So, the events A and B are independent.
Therefore, options 1, 2 and 4 are correct answers.
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Mav is working two summer jobs, making
$15 per hour lifeguarding and making $10
per hour landscaping. In a given week, she
can work at most 12 total hours and must
earn no less than $140. If x represents the
number of hours lifeguarding and y
represents the number of hours
landscaping, write and solve a system of
inequalities graphically and determine
one possible solution.
Inequality 1: y ≥û
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
y
Inequality 2: y ≥û
0 1 2 3
4
5
switch shade
plot
6
switch shade
plot
7
8 9 10 11 12 13 14 15 16 17 18 19 20
Xx
This solution satisfies both constraints, as x + y = 4 + 8 = 12, which is less than or equal to 12, and 15x + 10y = 15 * 4 + 10 * 8 = 120, which is greater than or equal to 140.
What is inequality?
In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality. ' So, a lack of balance results in inequality.
We can write the first inequality as x + y <= 12
This inequality represents the constraint that Mav can work at most 12 hours in total between both jobs.
The second inequality represents the constraint that Mav must earn no less than $140 in a given week, which can be written as:
15x + 10y >= 140
To graph the system of inequalities, we can plot the lines corresponding to x + y = 12 and 15x + 10y = 140 on the coordinate plane and shade the region that satisfies both inequalities.
The solution to the system of inequalities will be the values of x and y that lie in the shaded region.
One possible solution is x = 4 and y = 8, which means that Mav works 4 hours of lifeguarding and 8 hours of landscaping in a given week, earning a total of 15 * 4 + 10 * 8 = $120.
Hence, This solution satisfies both constraints, as x + y = 4 + 8 = 12, which is less than or equal to 12, and 15x + 10y = 15 * 4 + 10 * 8 = 120, which is greater than or equal to 140.
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Answer:
y ≤ 12 -xy ≥ 14 -1.5x(x, y) = (4, 8) — 4 hours lifeguarding, 8 hours landscapingStep-by-step explanation:
You want inequalities, their graph, and a possible solution satisfying Mav's requirement for at most 12 total hours spent lifeguarding at $15 per hour and landscaping at $10 per hour, with an income of at least $140.
SetupThe required relations can be written ...
x + y ≤ 12 . . . . . . . total hours
15x +10y ≥ 140 . . . . total earnings
InequalitiesThe inequalities need to be solved for y to match the answer format requirements.
inequality 1: y ≤ 12 -x . . . . . . . . . . subtract x
inequality 2: y ≥ 14 -1.5x . . . . . . divide by 10, subtract 1.5x
SolutionThe attached graph shows a couple of possible solutions. The solution space is the doubly-shaded area bounded by vertices ...
(4, 8), (12, 0), and (9 1/3, 0)
Mav will make the most money working 12 hours lifeguarding (x, y) = (12, 0).
She can just meet her income requirements by working 8 hours lifeguarding and 2 hours landscaping (x, y) = (8, 2).
One possible solution is 4 hours lifeguarding and 8 hours landscaping.
Luke sells 386 dollars worth of candy bars as part of a school club fundraiser. If the candy bars cost 297 dollars, what equation can we make to find out how much money Luke raised as the variable x ?
29. A racket is propelled upward from the top of a building 210 feet tall at an initial velocity of 112 feet per secon
The function that describes the height of the rocket in terms of time t is S(t) = - 16+2 + 112t + 210.
Determine the time at which the rocket reaches its maximum height.
a. 2.8 seconds
b. 3.5 seconds
C. 7 seconds
d. 5.6 secands
The time at which the rocket reaches its maximum height is 3.5 seconds. Therefore, b. is the correct answer.
What is function f(x)?An equation describing the relationship between the input (x) and the output (f(x)) is called the function f(x). Any equation that represents the connection between an input x and an output f is referred to as the function f(x) (x).
A function can be expressed as a graph or table in addition to the standard form of an equation. Functions can be stated using symbols and phrases in addition to equations. A function could be expressed, for instance, as "the square of x" or "f of x equals x squared."
Whatever form a function takes, it's critical to keep in mind that the input (x) always yields the same result (f(x)).
In the given question,
The maximum height of the rocket is achieved at the point when the velocity of the rocket is 112 feet. This can be determined by taking the derivative of the function S(t).
S'(t) = 112
Therefore, when S'(t) = 112, t = 3.5.
This means that the rocket reaches its maximum height at t = 3.5 seconds.
Therefore, the time at which the rocket reaches its maximum height is 3.5 seconds.
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Let f(x)=-5x^(3)-8x^(2)-4x+3 and g(x)=3x^(3)-2x^(2)-8x-4.
Find (F-G)(X) Find(f-g)(-1)
The value of (f - g)(-1) is 5.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = -5x³ - 8x² - 4x + 3
g(x) = 3x³ - 2x² - 8x - 4
Now,
(f - g)(x)
= f(x) - g(x)
= -5x³ - 8x² - 4x + 3 - (3x³ - 2x² - 8x - 4)
= -5x³ - 8x² - 4x + 3 - 3x³ + 2x² + 8x + 4
= -8x³ - 6x² + 4x + 7
Now,
(f - g) (-1)
Substitute x = -1.
= -8(-1)³ - 6(-1)² + 4(-1) + 7
= -8 x -1 - 6 - 4 + 7
= 8 - 6 - 4 + 7
= 8 - 10 + 7
= 15 - 10
= 5
Thus,
(f - g)(-1) = 5
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The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet. 2 0, 1, 4 3 1, 2, 6 4 1, 3, 7 5 1, 1 6 5key: 3|2 means 3.2 what is the mean, and what does it tell you in terms of the problem? a. 3.85 feet; the value means that a typical throw of the ball results in 3.85 feet. b. 3.2 feet; the value means the furthest the ball went. c. 5.1 feet; the value means this measurement had the most occurrences. d. 4.62 feet; the value means that a typical throw of the ball results in 4.62 feet.
The mean, also known as the average, is a central value that represents the typical value of a set of data.
To calculate the mean, you add up all the values in the data set and divide by the number of values. The mean provides a general sense of the distribution of the data and helps to identify any patterns or trends. In the stem-and-leaf plot, the mean can be calculated by adding up all the values and dividing by the number of throws. The mean in this case is 4.62 feet, which indicates that a typical throw of the ball results in 4.62 feet. This value can be used to gain a better understanding of the overall performance of the ball thrower and provide insight into how far the ball is typically thrown.
It is important to note that the mean is sensitive to outliers or extreme values, so it may not accurately reflect the typical value of the data in all cases. However, in this particular case, the mean provides a useful representation of the typical performance of the ball thrower.
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Answer:d
Step-by-step explanation:
5 1/2 ounce of mango has 17 1/2 grams of sugar and 4 ounces of pineapple has 25 grams of sugar
If 5 1/2 ounce of mango has 17 1/2 grams of sugar and 4 ounces of pineapple has 25 grams of sugar, We will be having 7 grams of sugar for one ounce of mango and 6 1/4 grams of sugar for one ounce of pineapple.
The problem states that we have 5 1/2 ounces of mango with 17 1/2 grams of sugar, and 4 ounces of pineapple with 25 grams of sugar. We are asked to determine the grams of sugar per ounce for each type of food. To determine the grams of sugar per ounce for each type of food, we can use the following calculations:
For mango: 5 1/2 ounces is equivalent to 11/2 + 1/2 = 2 ounces + 1 ounce/2, so we have 17 1/2 grams of sugar in 2 1/2 ounces of mango. To find the grams of sugar per ounce, we can divide 17 1/2 by 2 1/2, which gives us 7 grams of sugar per ounce of mango.
For pineapple: 4 ounces of pineapple has 25 grams of sugar. To find the grams of sugar per ounce, we can divide 25 by 4, which gives us 6 1/4 grams of sugar per ounce of pineapple.
Therefore, the grams of sugar per ounce for mango and pineapple are 7 and 6 1/4, respectively.
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Complete question is:
5 1/2 ounce of mango has 17 1/2 grams of sugar and 4 ounces of pineapple has 25 grams of sugar. Determine the grams of sugar for ounce for each type of food.
NEED THIS ASAP……………
……………..
The solution of the function - 6x + 14 = - 2ˣ + 6 is 2. The required graphs are given below.
Solving a function:We can solve the given function by adding or subtracting the same integer on both sides. Here adding or subtracting the same number on both sides doesn't change the condition of the function. In end-use trial and error mothed to find the value of the variable 'x'
Here we have
f(x) = - 6x + 14 and g(x) = - 2ˣ + 6
The solution of - 6x + 14 = - 2ˣ + 6 can be calculated as follows
=> - 6x + 14 = - 2ˣ + 6
=> - 6x + 8 = - 2ˣ
=> - 6x + 8 = - 2ˣ
=> - 6x + 2ˣ = - 8
By using the trial and error method
At x = 2
=> - 6(2) + 2² = -8
=> - 12 + 4 = -8
Therefore,
The solution of the function - 6x + 14 = - 2ˣ + 6 is 2. The required graphs are given below.
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PLSSS HELP!!
Which cross-sections are possible in BOTH cylinders and cones? Choose ALL that apply.
A. circle
B. oval
C. half-oval
D. rectangle
E. triangle
A. Circle
B. Ellipse (which can resemble an oval)
The zeros of a quadratic function are x = 2 and x = -3. Write an
equation of the quadratic function.
The equation of the quadratic function is x² + x - 6
How to determine the quadratic functionNote that functions are equations, laws or expressions showing the relationship between two variables.
These variables are;
the dependent variableIndependent variableFrom the information given, we have that;
x = 2 and = -3 are the roots
Then,
(x -2)(x + 3)
expand the bracket, we get;
x² + 3x - 2x - 6
collect the like terms, we have;
x² + x - 6
Hence, the equation is x² + x - 6 = 0
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The binomial (x+5) is a factor of x² + 8x + 15. What is the
other factor?
O (x+3)
O (x + 7)
(x+12)
O (x+13)
4X
Factor 2
Product
Factor 1
Reset
The binomial (x+5) is a factor of x² + 8x + 15 then the other factor is x+3.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
Given that binomial (x+5) is a factor of x² + 8x + 15.
We need to find the other factor.
Let us solve x² + 8x + 15=0
x² + 5x +3x+ 15=0
x(x+5)+3(x+5)=0
(x+3)(x+5)
So the other binomial factor is x+3.
Hence, the binomial (x+5) is a factor of x² + 8x + 15 then the other factor is x+3.
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Evaluate the expression when x= -7 and y=2 .
X - 2y
Answer:-3
Step-by-step explanation: -7 -4
What number would correctly replace the G?
A survey was done that asked employees to indicate whether they ride a bicycle or drive to work, and whether they live up to 5 miles or more than 5 miles from work. What is the probability that a randomly selected worker lives more than 5 miles from work and rides their bicycle? Enter your answer, rounded to the nearest whole percent, in the box
The probability that a randomly selected worker lives more than 5 miles from work and rides their bicycle is 57%.
To calculate the probability that a randomly selected worker lives more than 5 miles from work and rides their bicycle, we need to use the data from the survey. Let's assume that the survey results are summarized in the following table (attached) :
From this table, we can see that the probability of a worker living more than 5 miles from work is 35%. We can also see that the probability of a worker riding their bicycle is 50%, and the probability of a worker living more than 5 miles from work and riding their bicycle is 20%.
To calculate the probability that a randomly selected worker lives more than 5 miles from work and rides their bicycle, we can multiply the probabilities of these two events:
P(Lives > 5 miles and Rides Bicycle) = P(Lives > 5 miles) x P(Rides Bicycle | Lives > 5 miles)
= 35% x (20%/35%)
= 0.5714 or 57% (rounded to the nearest whole percent)
Therefore, the probability that a randomly selected worker lives more than 5 miles from work and rides their bicycle is 57%.
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A ladder 50m long is placed on the ground in such a way that it touches the top of vertical wall 30m high. Find the distance of the foot of the ladder from the bottom of the wall
The distance between the foot of the ladder from the bottom of the wall is 40 meters.
What is the Pythagorean theorem?The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
Here,
The distance between the foot of the ladder from the bottom of the wall can be found by using the Pythagorean theorem.
The ladder is the hypotenuse, with a length of 50m
The distance from the wall to the ground is 30m
The distance from the wall to the foot of the ladder is x
Using the Pythagorean theorem:
x² + 30² = 50²
x² + 900 = 2500
x² = 1600
x = 40
So, the distance between the foot of the ladder from the bottom of the wall is 40 meters.
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After performing a statistical regression on a set of data, the value of the correlation
coefficient r was -0.2041. What does that imply about the data?
A:There is a strong negative non-linear correlation between the variables.
B:There is almost no correlation between the variables (the data is scattered).
C:There is a strong negative linear correlation between the variables.
D:There is a strong positive non-linear correlation between the variables.
E:There is a strong positive linear correlation between the variables.
Answer: B
Step-by-step explanation:
if r is close to 1 (or -1) it means the relationship is strong, -0.2041 is really close to 0 so the data is most likely scattered and the association is weak
Answer:
Strong
Step-by-step explanation:
edge 2023
The cost of fuel per litre is calculated using the following formula. (1 + 100) X + X 160 C = cost of oil per barrel. F = rate of fuel duty tax in %. P = percentage profit the petrol station wants to make. Fuel duty is 50%, and oil costs £128 per barrel. A petrol station wants to make 100% profit. Work out the cost of fuel per litre at this petrol station.
If a petrol station wants to make 100% profit. the cost of fuel per litre at this petrol station is 1.4 pence.
How to find the cost?Given, the formula to calculate the cost of fuel per litre:
(1 + 100) X + X 160 C = cost of oil per barrel.
Where :
X = cost of oil per litre
C= rate of fuel duty tax in %.
We know that fuel duty is 50% and oil costs £128 per barrel, so we can substitute these values into the equation:
(1 + 100) X + X 160 * 0.5 = 128
Expanding the equation:
100 X + 80 X = 128
180 X = 128
Dividing both sides by 180:
X = 128/180 = 7/10 = 0.7
So, the cost of oil per litre is 0.7 pence.
The petrol station wants to make 100% profit, so we add the profit to the cost of oil per litre:
0.7 + 0.7 * (100/100) = 1.4 pence
Therefore, the cost of fuel per litre at this petrol station is 1.4 pence.
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Please help, I’ll give brainliest!!!!!!!!!!!!
The ordered pairs from the graph of quadratic and linear equations are (-2, 7) and (2, -1)
what is graph of a quadratic and linear equationA graph of a quadratic equation is a parabolic curve that opens up or down, depending on the sign of the coefficient of the squared term. A general form of a quadratic equation is given by:
y = ax^2 + bx + c,
where a, b, and c are constants. The graph of this equation can be plotted by choosing a range of values for x and calculating the corresponding values of y.
A graph of a linear equation is a straight line. A general form of a linear equation is given by:
y = mx + b,
where m is the slope of the line and b is the y-intercept.
In this problem, the ordered-pairs will be the point in which they intersect with each other.
Looking carefully at the graph, the ordered pair will be at points
A = (-2, 7)
B = (2, -1)
Learn more on ordered pairs here;
https://brainly.com/question/1528681
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