The roots of the quadratic equation 3x² + 5x - 2 = 0 are the two values of x that make the equation true. In this case, they are x = -2 and x = 0.
Step 1: Move all terms with an x to one side of the equation and all terms without an x to the other side:
3x² + 5x - 2 = 0
3x² + 5x = 2
Step 2: Divide both sides of the equation by the coefficient of the x² term (3):
(3x² + 5x)/3 = 2/3
x² + (5/3)x = 2/3
Step 3: Use the quadratic formula to calculate the roots of the equation:
x = [-b ± √(b² - 4ac)]/2a
x = [-(5/3) ± √((5/3)² - 4(1)(2/3))]/2(1)
x = [-(5/3) ± √(25/9 - 8/3)]/2
x = [-(5/3) ± √(7/9)]/2
Step 4: Calculate the values of x that make the equation true:
x = [-(5/3) + √(7/9)]/2
x = [-(5/3) - √(7/9)]/2
x = [-2]
x = [0]
Therefore, the roots of 3x² + 5x - 2 = 0 are x = -2 and x = 0.
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tell whether x and y are in a proportional relationship if also write an equation that represents the relationship. for all for give a different explanation 20 points question
Answer: Two quanties are said to have a proportional relationship if they vary in such a way that one of the quantities is a constant multiple of the other, or equivalently if they have a constant ratio. ... inversely proportional: y is inversely proportional to x of y=k/x.
Use the quadratic formula to solve for x.
6x² - 2x-3=0
The solutions to the quadratic equation are:
[tex]$x=\frac{1+\sqrt{19}}{6}, x=\frac{1-\sqrt{19}}{6}$[/tex]
What is quadratic formula?A quadratic equation in algebra is any equation that can be written in standard form as where x stands for an unknown value, a, b, and c stand for known numbers, and where a 0. Quadratic equations are the degree two, one-variable polynomial equations of the form f(x) = ax2 + bx + c = 0, where a, b, c, and an are all divisible by R and an is equal to zero.It is the quadratic equation's general form, with 'a' standing for the leading coefficient and 'c' standing for the absolute term of f. (x).The quadratic formula, using square roots, factoring, and completing the square are the four ways to solve a quadratic problem.Problems involving squares and quadrangles and quadratic equations are closely related.[tex]$$6 x^2-2 x-3=0$$[/tex]
Solve with the quadratic formula
[tex]$$x_{1,2}=\frac{-(-2) \pm \sqrt{(-2)^2-4 \cdot 6(-3)}}{2 \cdot 6}$$[/tex]
[tex]$$\sqrt{(-2)^2-4 \cdot 6(-3)}=2 \sqrt{19}$$[/tex]
[tex]$$x_{1,2}=\frac{-(-2) \pm 2 \sqrt{19}}{2 \cdot 6}$$[/tex]
Separate the solutions
[tex]$$x_1=\frac{-(-2)+2 \sqrt{19}}{2 \cdot 6}, x_2=\frac{-(-2)-2 \sqrt{19}}{2 \cdot 6}$$[/tex]
[tex]$\begin{aligned} & x=\frac{-(-2)+2 \sqrt{19}}{2 \cdot 6}: \quad \frac{1+\sqrt{19}}{6} \\ & x=\frac{-(-2)-2 \sqrt{19}}{2 \cdot 6}: \quad \frac{1-\sqrt{19}}{6}\end{aligned}$[/tex]
The solutions to the quadratic equation are:
[tex]$x=\frac{1+\sqrt{19}}{6}, x=\frac{1-\sqrt{19}}{6}$[/tex]
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The solutions to the equation are approximately x = 0.015 and x = -0.142.
How to solve the given equation by using quadratic formula?The quadratic formula can be used to solve for x in a quadratic equation of the form ax^2 + bx + c = 0, where a, b, and c are coefficients. The formula is $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$To use the formula for the equation 6x^2 - 2x - 3 = 0, we can plug in the values for a, b, and c:$a = 6$$b = -2$$c = -3$Substituting these values into the formula, we get:$x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4 * 6 * -3}}{2 * 6}$$x = \frac{2 \pm \sqrt{4 + 72}}{12}$$x = \frac{2 \pm \sqrt{76}}{12}$We can simplify the square root:$x = \frac{2 \pm 2\sqrt{19}}{12}$Finally, we can round each solution to the nearest hundredth:$x = \frac{2 \pm 2\sqrt{19}}{12} \approx \frac{2 \pm 2.2}{12} = \frac{2 \pm 0.18}{12} = \frac{2.18}{12} \approx \frac{0.18}{12}$So the solutions to the equation are approximately x = 0.015 and x = -0.142.To learn more about quadratic formula refer:
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What will the first row of this multiplication be ?
Answer:
[tex]3) \: - 20 {x}^{3} + 0 {x}^{2} + 15x - 20[/tex]
Use four unit multipliers to convert 420 kilometers to feet.
Answer:
200 feet
Step-by-step explanation:
What is the measure of angle A?
The measure of angle A will be 60°
What is the right-angle triangle?A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
Given a triangle that has three angles such as: 6x, 4x, and 2x.
From the general property of Triangles:
Sum of all angles = 180°
6x + 4x + 2x = 180°
12x = 180°
x = 15
Since ∠A = 4x
Thus,
∠A = 15 *4
∠A = 60
therefore, The measure of angle A will be 60°
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Use the data to create a scatter plot 20 points
Answer:
ghfhrfh
Step-by-step explanation:
nhfjhtfjyt
ASAP SOLVE QUESTIONS A AND B AND PLS GIVE ME THE EXPLANATION
The scale of a map is 1 cm : 85 km. B
a) A river on the map is 14 cm long. Calculate the actual length of the river in kilometres.
b) The actual distance between two towns is 765 km. Calculate the distance between these towns on the map
a) By multiplication a river on the map being 14 cm long has the actual length of 1190 km.
b) By division the actual distance between two towns being 765 km has the distance of 9 cm on the map.
What is multiplication?
The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the numbers that are multiplied are referred to as the factors.
The value of 1 cm on map is a = 85 km.
The measurement of the river on the map b = 14 cm.
The actual length of the river = x.
Use the arithmetic operation of multiplication -
x = a × b
x = 85 × 14
x = 1190
Therefore, the measurement of river is 1190 km.
The actual distance between two towns is c = 765 km.
The distance on the map = y.
Use the arithmetic operation of division -
y = c/a
y = 765/85
y = 9
Therefore, the distance of two towns is 9 cm.
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The points (4, 1) and (x,-6) lie on the same line. If the slope of the line is 1, what is the value of x?
Answer:
-3
Step-by-step explanation:
You want the value of x in (x, -6) so that this point lies on a line with slope 1 through point (4, 1).
Point-slope equationThe point-slope equation for a line with slope m through point (h, k) is ...
y -k = m(x -h)
The line with slope 1 through point (4, 1) can be written as ...
y -1 = 1(x -4)
ApplicationWe want the value of x when y=-6.
y +3 = x . . . . . . . add 4 to solve for x
-6 +3 = x = -3
The value of x is -3.
13 cm 7 cm NOT TO SCALE The diagram shows a solid made up of a hemisphere and a cone. The base radius of the cone and the radius of the hemisphere are each 7 cm. The height of the cone is 13 cm. (a) (i) Calculate the total volume of the solid. [The volume of a hemisphere of radius r is given by V = ¹.] [The volume of a cone of radius r and height h is given by Varh.
Answer:
Step-by-step explanation:
V = 2/3 * pi * r3 gives the volume of a hemisphere of radius r.
V = 1/3 * pi * r2 * h gives the volume of a cone with radius r and height h.
We may compute the volume of both forms using the hemisphere's radius and the cone's base radius of 7 cm:
Hemisphere Volume = 2/3 * pi * (7 cm)3 = (14/3) * pi * 343 cm3 = 615.75 cm3
Cone Volume = 1/3 * pi * (7 cm)2 * 13 cm = 49 * pi * cm3 = 153.94 cm3
To get the overall volume of the solid, sum the volumes of the hemisphere and cone:
Volume total = 615.75 cm3 + 153.94 cm3 = 769.69 cm3
As a result, the total volume of the solid is 769.69 cm3.
Given the following prices, explain why brand b is the better buy. (hint: 16 ounces = 1 pound and 1 pound = 453. 59 grams) brand a: 54 ounces for $4. 89 brand b: pounds for $3. 91 brand c: 910 grams for $3. 10.
Brand B is the better buy because it offers the most ounces for the lowest price.
To compare the prices of the three brands, we need to convert them to a common unit of measurement. Brand A is priced at $4.89 for 54 ounces, Brand B is priced at $3.91 for 16 ounces, and Brand C is priced at $3.10 for 910 grams. Since 16 ounces is equivalent to 1 pound and 1 pound is equivalent to 453.59 grams, we can convert the weight of Brand B and C to ounces. 910 grams is equivalent to 2.01 pounds, which is equivalent to 32.16 ounces.
A.
54oz, convert to lb
54/16=3.375lb
find per lb
4.89/3.375=$1.4488888 per lb
B.
2 and 3/4=2.75, 3.91/2.75=$1.42181 per lb
C. 910/453.59=2.00621lb
3.10/2.00621=$1.545 per lb
compare
A: $1.4488888 per lb
B: $1.42181 per lb
C: $1.545 per lb
It is observed from the above calculation that Brand B have lowest price per unit on ounce.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
11
Step-by-step explanation:
34 - (2b + 5) + 2
34 - (2*10 + 5) + 2
34 - (20 + 5) + 2
34 - 25 + 2
9 + 2
11
Answer:
34 - (2b + 5) + 2 = 11
Step-by-step explanation:
Now we have to,
→ Simplify the given expression.
The expression is,
→ 34 - (2b + 5) + 2
We have to use,
→ b = 10
Let's simplify the expression,
→ 34 - (2b + 5) + 2
→ 34 - 2b - 5 + 2
→ (-2b) + (34 - 5 + 2)
→ -2b + 31
→ -2(10) + 31
→ -20 + 31
→ 11 => {final answer}
Therefore, the answer is 11.
Can someone help me understand this?
Answer:
see attached
Step-by-step explanation:
You are given two solutions to a 3-step inequality and are asked to describe them.
3-Step inequalityThese inequalities have variable terms and constant terms on both sides of the comparison symbol. The expressions have been simplified.
These inequalities can be described as 3-step, because a straightforward solution can be accomplished in 3 steps. The first two steps separate the constant and variable terms, and the final step divides by the coefficient of the variable.
The process is virtually identical to that for solving a 3-step equation.
AllisonAllison's first step is to get rid of one of the unwanted variable terms by subtracting it from both sides. She chose the "3x" term, which has a smaller coefficient than the "5x" term, so the resulting difference will leave a positive coefficient on the x-term.
Then she removed the unwanted constant from the side with 2x by adding its opposite.
Since the x-term has a positive coefficient, Allison did not have to change anything about the inequality symbol when she divide both sides by that coefficient.
JohnJohn used a first step similar to Allison's but he chose to eliminate the 5x term. The result was the x-term ended up with a negative coefficient. That introduces an extra bit of procedure at the end when he divides by the -2 coefficient of x: the inequality symbol must be reversed.
The constant term on the side with the x-term was removed by adding its opposite. This is the same step Allison performed as step 2.
When John finally divides by the coefficient of x, he has to reverse the inequality symbol, since that coefficient is negative.
__
Additional comment
You can compare one line of the solution to the one above to see what is different. Identifying that difference will tell you what step was taken to get the current line from the previous one. It helps to understand the way equations and inequalities are solved, so you better know what to look for.
55 POINTSSSS MATH
Pls help me show work please
given h (x) = 5x-3,find h(-2)
Answer:
h(-2) = -13
Step-by-step explanation:
h(x) = 5x-3 h(-2)
h(-2) = 5(-2) - 3
h(-2) = -10 - 3
h(-2) = -13
which one is bigger 10% of 50 pounds or 20% of 75 pounds
Answer:
20% of 75 = 15
10% of 50 = 5
20% of 75 is greater than 10% of 50
Step-by-step explanation:
Hope it helps! =D
(5,7) (-5,-6) (5,-6)
Answer:
(0, 0.5)
Step-by-step explanation:
Midpoint of BC: ([-5 + 5]/2, (-6 + (-6))/2) = (0, -6)
Perpendicular bisector of BC has equation: x = 0
Midpoint of AC: ([5 + 5]/2, (-6 + 7)/2) = (5, 0.5)
Perpendicular bisector of AC has equation y = 0.5
Point of intersection of the two perpendicular bisectors:
(0, 0.5)
Answer: (0, 0.5)
Answer:
(0, 0.5)
Step-by-step explanation:
You want the circumcenter of the triangle defined by the points A(5, 7), B(-5, -6) and C(5, -6).
Right triangleThe fact that point C shares a coordinate with each of points A and B suggests the triangle is a right triangle. Graphing the points confirms this.
The circumcenter is the midpoint of the hypotenuse of that right triangle, so is ...
circumcenter = (A +B)/2
circumcenter = ((5, 7) +(-5, -6))/2 = (5-5, 7-6)/2 = (0, 1)/2
circumcenter = (0, 0.5)
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Have a test tmmrw please help ppl
Answer:
H = 2
Step-by-step explanation:
Convert the number. H + 2 1/4 = 4 2/8
Reduce. H + 9/4 = 34/8
Rearrange the terms. H + 9/4 = 17/4
Calculate. H = 14/4 - 9/4
Learning task 3
A. illustrate the following conditional statement in venn diagram
1. If it is a rectangle, it is a quadrilateral.
2. If you play violin, then you are a musician.
3. If frogs live in water, then they are amphibians.
4. If it is a fraction, then it is a rational number.
5. If it is an eagle, then it is a bird.
B. Interchange the conclusion and hypothesis with the resulting conditional statement true or false? Why?
Ex:
1. If it is an eagle then its a bird
If it's a bird then it's an eagle.
The resulting statement is not true since not all birds are eagle.
2.If it is an equiangular, then it's an equilateral.
3. If it is a rectangle then it is a quadrilateral.
Answer:
Step-by-step explanation:126
Help would be appreciated
The statement AB || CD is true because both AB and CD are valid strings, and the logical OR operator (||) is true if either one of the two operands is true.
The algebraic transposition theoryThe statement AB && CD is false because the logical AND operator (&&) is only true if both operands are true, and AB and CD are not the same string.The statement AC CA is false because the strings are not equal.The statement 21 22 is false because the two numbers are not equal.The statement AABC = ACDA is false because the strings are not equal.The given statements AC CA, 21 22, and AABC = ACDA can be interpreted in many ways. For example, AC CA could be interpreted as two distinct sets of letters. In this case, AB and CD are the respective letters of each set. By using the logical operator OR (||), we can combine these two sets to get the combined set AB OR CD.The statement 21 22 could be interpreted as two distinct sets of numbers. The logical operator OR (||) can be used here to combine these two sets to get the combined set 21 OR 22.Finally, the statement AABC = ACDA could be interpreted as an equation. This equation states that the letters on the left side (AABC) are equivalent to the letters on the right side (ACDA). This statement could be interpreted in terms of set theory, as two distinct sets. The OR (||) operator can be used to combine the two sets to get the combined set AABC OR ACDA.In conclusion, the given statements can be interpreted in a variety of ways, and the logical operator OR (||) can be used to combine the two sets of letters or numbers to get a combined set.To learn more about the algebraic transposition theory refer to:
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Question 2 of 6 What number completes the sequence below? Enter your answer in box at the bottom. 12 20 28 36 5 13 21 ?
Answer:
29
Step-by-step explanation:
this sequence is an arthimetic sequence in which every second number is 8 more than the previous number.so the next number is 21+8=29
Midpoint Graphically
The M(5, -6.5) is the midpoint of AB
What is the midpoint?
In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
The attachment shows a plot of the segment and the X and Y coordinates of the midpoint.
These can be found on a graph by counting squares and finding the point that is half the distance horizontally (X) and vertically (Y) between the given points.
We have,
A(10, -3) and B(0, -10)
Let (x, y) be the midpoint,
x = [10 + 0]/2
= 10/2
= 5
y = [-3 + (-10)]/2
= -13/2
= -6.5
So, the midpoint are: M(5, -6.5)
The coordinates of the midpoint (M) are the x-coordinate of X (5) and the y-coordinate of Y (-6.5).
Hence, the M(5, -6.5) is the midpoint of AB.
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Which statement about these two functions
is true?
A) Both functions have the same
maximum value.
B) Both functions have the same
domain.
C) Both functions have a y-
intercept of 2.
OD) All of the above
Answer:
Step-by-step explanation:
b
Answer:
b
Step-by-step explanation:
should be the answer. hope it helps
Hey im kinda stuck!!!
The rule of the transformation that has been applied to the ordered pairs of triangle QRS to triangle Q'R'S' is a rotation of 90° about the origin in a counterclockwise (anticlockwise) direction.
What is a rotation?In Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).
By applying a rotation of 90° counterclockwise to the vertices of triangle QRS (∆QRS), the coordinates of the vertices of the image (∆Q′R′S′) are as follows:
(x, y) → (-y, x)
Ordered pair Q = (-4, 2) → Ordered pair Q' = (-2, -4)
Ordered pair R = (-3, 5) → Ordered pair R' = (-5, -3)
Ordered pair S = (0, 1) → Ordered pair S' = (-1, 0)
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Find a : b:c:d if:
a: b = 2:3
b:c= 5:2
b:d=1:2
Answer:
[tex]\boxed{a:b:c:d = 1: \dfrac{3}{2}:\dfrac{3}{5}:3}[/tex]
Step-by-step explanation:
Determine all the variables in terms of a single variable, a
Ratios are nothing but fractions
[tex]a:b = \dfrac{a}{b}[/tex]
We have
[tex]\dfrac{a}{b} = \dfrac{2}{3}\\\\\longrightarrow b = \dfrac{3}{2}a[/tex]
[tex]\dfrac{b}{c} = \dfrac{5}{2}\\\\\longrightarrow c = \dfrac{2}{5} b = \dfrac{2}{5}\cdot \dfrac{3}{2} a[/tex]
[tex]c = \dfrac{3}{5}a[/tex]
[tex]\dfrac{b}{d} = \dfrac{1}{2}[/tex]
[tex]\longrightarrow d = 2b = 2\cdot \dfrac{3}{2}a = 3a[/tex]
So a:b:c:d becomes
[tex]a : \dfrac{3}{2}a : \dfrac{3}{5}a : 3a[/tex]
Which is
[tex]1: \dfrac{3}{2}:\dfrac{3}{5}:3[/tex]
Answer:
[tex]\boxed{a:b:c:d = 1: \dfrac{3}{2}:\dfrac{3}{5}:3}[/tex]
x-y=3. what is y-x
PLS HELP
Answer:
Step-by-step explanation:
y-x=3 so basically x=3 and y= -3
in the miss america pageant, 51 contestants must be narrowed down into 10 finalists. how many ways can this occur?
Total ways can occur is 19,653,800.
What is Combination?
Combinations are ways to choose elements from a larger set in mathematics where the order of the elements is irrelevant. Repetition is prohibited and the order of the elements does not matter in a combination, which is a subset of items.
The number of combinations of 51 things chosen 10 at a time, represented as C, determines the number of possibilities to choose 10 finalists from 51 contestants (51, 10).
Combinations are calculated as follows: C (n, k)=[tex]n! / (k! (n-k)!).[/tex]
Consequently, there are three options to choose 10 finalists from the pool of 51 applicants:[tex]C(51, 10) = 51! / (10! (51-10)!) = 51! / (10! 41!) = 19,653,800.\\[/tex]
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in the miss America pageant, 51 contestants must be narrowed down into 10 finalists. The total number of ways that can occur is 19,653,800.
What is Combination?
In mathematics, combinations are strategies to select components from a bigger set where the order of the elements is unimportant. In a combination, which is a subset of items, repetition is not permitted and the position of the parts is irrelevant.
The possibility of selecting 10 finalists from 51 contenders is determined by the number of combinations of 51 things picked 10 at a time, denoted as C. (51, 10).
Combinations are calculated as follows: C (n, k)= [tex]\frac{n!}{k!(n-k)!}[/tex]
Consequently, there are three options to choose 10 finalists from the pool of 51 applicants: 19653800
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What is the average speed of the car if it covers 400 km in 8 hours?
An object's average speed is a measurement of how quickly it moves over a predetermined amount of time. The calculation is done by dividing the overall distance travelled by the overall travel time. In other words, it reveals the average amount of distance an object has travelled per unit of time.
In the case provided, we can apply the following calculation to get the average speed of the car:
average speed = total distance / total time
In this instance, a total of 400 kilometers was travelled and 8 hours were expended.
average speed = 400 km / 8 hours
= 50 km/h
This means that the average speed of the car is 50 kilometers per hour. This is the average speed at which the car traveled over the 8 hour period. It does not necessarily mean that the car was traveling at exactly 50 km/h for the entire 8 hour period, It could have gone faster or slower at different times, but on average it traveled at 50 km/h.
Therefore ,average speed of the car is 50 km/h .
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10 points
7) A couple of friends decide to workout by running laps. Brittany runs 5
yards per second. Lexi lets her get a head start. Brittany starts out at the
12 yard marker. Lexi runs 7 yards per second. She gets no head start. How
many seconds will it take for Lexi to catch up to Brittany. At how many
yards will she catch up? *
As per given data of Lexi and Brittany runs , the number of seconds and yards taken by Lexi to catch up Brittany is 6 seconds and 30 yards respectively.
As given in the question,
Let us consider,
Time taken by Brittany be 't₁ '
Time taken by Lexi be 't₂'
Brittany runs at the speed of 5 yards per seconds
Lexi runs at the speed of 7 yards per seconds
Distance covered by Brittany be 'x' yards
Distance covered by Lexi be 'x + 12 ' yards
t₁ = x / 5
t₂ = ( x + 12 ) / 7
When Lexi catch up Brittany
t₁ = t₂
⇒ x / 5 = ( x+ 12 ) / 7
⇒ 7x = 5x + 60
⇒ 2x = 60
⇒ x = 30 yards
Number of seconds taken by Lexi
= ( 30 + 12 ) / 7
= 6 seconds
Therefore, the number of seconds after which Lexi catch up Brittany is 6 seconds and Lexi will catch up Brittany at 30 yards of run.
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PLS HELP NEED ASAP
need help solving this equation idek what this means
Answer:
[tex]\frac{x+4}{3(x-1)}[/tex]
Question[tex]x^2/x-1/3x^2/x+4[/tex]
This can be written as a/b * d/c using the KCF method, which stands for keep, change, flip when dividing fractions. You keep the first fraction, change the sign from divide to multiply, and flip the last fraction.
For example:
4/5 / 6/7 =
4/5 * 7/6
28/30
14/15
[tex]\frac{x^2}{x-1} * \frac{x+4}{3x^2}[/tex]
Next, multiply top and bottom to combine the fractions.
[tex]\frac{x^3+4x^2}{3x^3-3x^2}[/tex]
Factor [tex]x^2[/tex] out of [tex]x^3 + 4x^2[/tex].
[tex]\frac{x^2(x+4)}{3x^3-3x^2}[/tex]
Factor [tex]3x^2[/tex] out of [tex]3x^3-3x^2[/tex].
[tex]\frac{x^2(x+4)}{3x^2(x-1)}[/tex]
Cancel out [tex]x^2[/tex] from top and bottom.
[tex]\frac{x+4}{3(x-1)}[/tex]
qesr intersect at E if QE= x swuared + 14 and se = x + 14 and TE=6x-1 determine tr
TR = 11 if QE= x swuared + 14 and se = x + 14 and TE=6x-1 as qesr intersect at E.
what is intersect ?The point on the y-axis where the slope of the line intersects is known as the intersection point in mathematics. an intersection of a line or curve with the y-axis. To demonstrate this, the straight line equation Y = mx+c is employed, where m denotes the slope and c the y-intercept. In the equation's intercept form, the line's slope (m) and y-intercept (b) are highlighted. The slope and y-intercept are m and b, respectively, in the intercept form of an equation (y=mx+b). Additionally, several equations can be reformulated to appear to be slope intercepts. For instance, if y=x is rewritten as y=1x+0, the slope and y-intercept are both altered to 1.
given
TE = 11
x² + 6x = x + 14
x² + 5x - 14 = 0
D = 25 - 4(- 14) = 81 = 9²
x1 = 2
x2 = - 7 (N/A)
TR = 6(2) - 1 = 11
TR = 11 if QE= x swuared + 14 and se = x + 14 and TE=6x-1 as qesr intersect at E.
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