Write an equation of the line that passes through the given point with the given slope
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Select the values that make the inequality -g> 6 true.
Answers
When resolving an inequality, you can, add the same amount to each side, take away the same amount from each side, multiply or divide each side by the same positive amount.
How do inequality equations work?Connecting two expressions results in both the mathematical constructs known as equations and inequalities. The two expressions in an equation are thought to be equal when the equal symbol (=) is present. Two expressions in an inequality are not always equal, as shown by the symbols >,,, or. The four basic terms for inequality are smaller than, larger than, smaller than or equal to, and larger than or equal to.You can solve an inequality by doing one of the following: adding or subtracting the same amount from each side; multiplying or dividing each side by the same positive number. It is necessary to flip the inequality sign if all sides are multiplied or divided by a negative value.The complete question is,
How do you resolve an inequality equation?
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dash by a fraction is the same as dash by its reciprocal
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The product of a fraction and its reciprocal is 1
How to Interpret Fractions and reciprocals?In mathematics, we know that the fraction that is obtained by swapping or interchanging the numerator and the denominator with each other is known as the Reciprocal of the given fraction.
For example, if we have the fraction 3/5, it is safe to say that the reciprocal of this fraction will be 5/3.
Now, this means that 3/5 * 5/3 = 1.
Thus, we can say that the product of a fraction and its' reciprocal is the same as 1.
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Complete question is;
The _____ of a fraction and its reciprocal is 1. (a) sum (b) difference (c) product (d) quotient
Write a formula for rrr in term of \thetaθtheta for the following figure. A circle with a radiu of r centimeter. There are two radii that highlight a ector. The meaure of the arc i four centimeter. The central angle meauring theta radian. A circle with a radiu of r centimeter. There are two radii that highlight a ector. The meaure of the arc i four centimeter. The central angle meauring theta radian. The angle in the figure i a central angle in radian
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The formula of r in term ∅ of is [tex]\frac{∅}{360} * 2\pi r[/tex]
What is circle?
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
What is arc in circle?
The arc of a circle is defined as the part or segment of the circumference of a circle. A straight line that could be drawn by connecting the two ends of the arc is known as a chord of a circle.
The whole circle of 360 makes arc length of 2πr.
Thus angle of θ will make a length = [tex]\frac{∅}{360} * 2\pi r[/tex].
The formula of r in term ∅ of is [tex]\frac{∅}{360} * 2\pi r[/tex]
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What are the exact solutions of x2 4 − 7x 1 point X X X X?
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The solution of the given quadratic equation is x = (- 7 ± √(65)) / (2)
What is a quadratic equation?The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.
Given is a quadratic equation,
For this case, the first thing we must do is rewrite the polynomial:
x² + 7x - 4 = 0
We use the resolver to solve the problem using quadratic formula;
x = (- b ± √(b² - 4 × a × c)) / (2 × a)
Where,
a = 1
b = 7
c = -4
Substituting the values:
x = (- 7 ± √((7)² - 4 × (1) × (- 4))) / (2 × (1))
x = (- 7 ± √(49 + 16)) / (2×(1))
x = (- 7 ± √(65)) / (2)
Hence, The value of x is (- 7 ± √(65)) / (2)
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3x 2/4 fraction please do explanation so i can know the correct answer.
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Answer:
Below
Step-by-step explanation:
3 * 2/4 =
3/1 * 1/2
(3*1) / (2*1) = 3/2 = 1 1/2
How many solutions can 2 linear equations have?
Answers
Answer:
2 linear equations can only have 1 solution.
Step-by-step explanation:
⭐ What is a linear equation?
A linear equation is a type of equation that, when graphed, looks like a straight lineA linear equation can be written in 3 ways: [tex]Ax + By = C[/tex], [tex]y = mx + b[/tex], and [tex]y - y_1 = m(x-x_1)[/tex].⭐What does "solution" mean?
The solution for 2 equations is the point (x,y) that the 2 equations intersect at.Thus, when 2 linear equations intersect, they can only have 1 solution, because straight lines can only meet at 1 point.
1 you are offered a gamble on the toss of a coin. if the coin shows tails, you lose $100. if the coin shows heads, you win $150. would you accept it?
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1 you are offered a gamble on the toss of a coin. if the coin shows tails, you lose $100. if the coin shows heads, you win $150. Yes one can accept it.
As per the given data:
If you toss the coin.
Coin shows tails [tex]$\rightarrow$[/tex] lose $ 100
Coin shows heads [tex]$\rightarrow$[/tex] win $ 150
We would consider expected gain for us in each scenario.
Since, the probability of head is,
[tex]P(H) = \frac{1}{2}[/tex]
The probability of Tail is,
[tex]P(T)=\frac{1}{2}[/tex]
Therefore, expected gain [tex]$=150 \times \frac{1}{2}+(-100) \times \frac{1}{2}$$$[/tex]
= 75 - 50
= $ 25
Since, gain is positive number of 25 .
We can say on an average we can gain some Profit.
Hence one would accept the offer.
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What is AAA similarity rule?
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The AAA (angle-angle-angle) similarity theorem can be used to express it as follows: two triangles have equal corresponding angles if and only if their corresponding sides are proportionate.
The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that “If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar”.
Proof:
Consider two triangles ABC and DEF, such that ∠A = ∠D, ∠B = ∠E and ∠C = ∠F as shown in the figure.
Now, cut DP= AB and DQ= AC and join PQ. Hence, we can say that a triangle ABC is congruent to the triangle DPQ.
(i.e) ∆ ABC ≅ ∆ DPQ, which gives ∠B = ∠P = ∠E and also, the line PQ is parallel to EF.
Therefore, by using the basic proportionality theorem, we can write
DP/PE = DQ/QF.
(i.e) AB/DE = AC/DF. …(1)
Similarly,
AB/DE = BC/EF …(2)
From (1) and (2), we can write:
AB/DE = BC/EF = AC/DF.
Therefore, the two triangles ABC and DEF are similar.
Hence, AAA(Angle-angle-angle) is proved.
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You sell small and large candles at a craft fair. You collect $192 selling small candles for $4 a
piece and large candles for $6 a piece. You sold a total of 34 candles in all. Create and solve
a system of equations to find the number of small candles (x) and large candles (y) that were
sold.
How many large candles did you sell at a the craft fair?
Answers
The number of small candles (x) and large candles (y) that were
sold 16 large candles and 12 small candles were sold.
How many large candles did you sell at a the craft fair?number of small candles (x)
large candles (y)
4x+6y=144 ....equation 1.
x+y=28 ....equation 2.
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present. A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph always emerges.To learn more about Linear equations refer to:
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A particle is falling in a viscous liquid. Assume that the drag force is 490 dyn-isec/cm times the velocity. If the mass of the particle is 6 grams, the limiting speed in cm/sec is [hint: use 980 cm/sec2 as the value of the acceleration due to gravity. A) 12 b) 1/12 c) 2 d) 1/3
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The limiting speed of particle can be obtained as 12 cm/sec.
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
The mass of particle is given as 6 grams.
Suppose the limiting speed be x cm/s.
As per the given question, the following equation can be formed as below,
6 × 980 = 490x
⇒ x = (6 × 980)/490
⇒ x = 12
Hence, the value of the limiting speed is 12 cm/sec.
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How do you find the x and y intercepts of an equation?
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The ideal way to find the intercepts of an equation with the "x" and "y" axes is to evaluate both values when the image is 0, as described below:
First let's define equation
What are equations?An equation is the equality that has mathematical expressions on both sides of it, they can be functions, polynomials or others, there are no limits for them.
Equations can be graphed, just like a function.
Now that we know what an equation is and its structure, let's explain it with an example.
Let the equation
2y = 4x + 2, determine its intersections with the axes "x" and "y".
First, we clear:
y = (4x + 2)/2
y = 2x + 1
Now we equal y = 0 and find intersection with the x-axis0 = 2x + 1
2x = -1
x = -1/2
we equal x = 0 and find cut with the y-axisy = 2(0) + 1
y = 1
As we can see, to find the intercepts, we only have to evaluate the equation when y = 0 and when x = 0.
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What else is needed to prove these triangles congruent using the HL theorem?
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Answer:
C. BA ≅ DA
Step-by-step explanation:
⭐ What is the HL theorem?
The HL theorem is a triangle congruence statement used to say that 2 right triangles are congruent.For 2 right triangles to be considered by the HL theorem, they must have congruent hypotenuses and congruent corresponding legs✔️In this problem, it is already established that ΔABC and ΔADC are right triangles because they have a right angle.
✔️ΔABC and ΔADC have congruent hypotenuses because they both share hypotenuse AC, and by the reflexive property of congruence, AC ≅ AC
❌There is no indication that their corresponding legs are congruent, and that is what we need for the HL theorem.
The only answer option that mentions their corresponding legs being congruent is option C.
find four consecutive odd integers. five times the second is equal to one more than eight times the smaller
Answers
Answer:
3,5,7,9
Step-by-step explanation:
Let x be an odd integer
given that, consider four consecutive odd integers, which are
x , (x +2), (x+4), (x+6)
Now we have to determine these odd integers such that five times the second is equal to one more than eight times the smaller
5(x+2) = 1 + 8x
5x + 10 = 1 + 8x
10 - 1 = 8x - 5x
9 = 3x
x = 3
Why can t we use AAA to prove two triangles are congruent?
Answers
Knowing merely angle-angle-angle (AAA) does not work, because it can result in triangles that are similar but not congruent.
A set of triangles must have equal sides and angles in order for them to be congruent. The sides of the triangles may or may not be equal in the case of a triangle with all of the corresponding angles equal, or the AAA condition.
Only if the two triangles are similar would the congruence be true for two triangles with identical respective angles. Thus, we are unable to utilize AAA to establish the congruence of two triangles.
A set of triangles must have equal sides and angles in order for them to be congruent. The sides of the triangles may or may not be equal in the case of a triangle with all of the corresponding angles equal, or the AAA condition. Only if the two triangles are similar would the congruence be true for two triangles with identical respective angles.
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If the two legs of the right triangle are 4.8cm and 7.6cm,what is the area of the largest square,A
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Will the circumcenter of a triangle always be located inside of the triangle?
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Sometimes the triangle's circumcenter is outside of it. In actuality, it may lie outside the triangle, as in the case of an acute triangle, or it may land at the midway of the hypotenuse of a right triangle.
what is circumcenter ?the location that is equally spaced from each of a triangle's three vertices and where the three perpendicular bisectors of its sides meet.
The circumcenter of a triangle is found at the junction of all sides' perpendicular bisectors, or lines that are at right angles to each side's midpoint. The triangle's perpendicular bisectors are shown to be contemporaneous by this (i.e. meeting at one point).
Sometimes the triangle's circumcenter is outside of it. In actuality, it may lie outside the triangle, as in the case of an acute triangle, or it may land at the midway of the hypotenuse of a right triangle.
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How do you find the median of a class?
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In a grouped data,
it is not possible to find the median for the given observation by looking at the cumulative frequencies.
The middle value of the given data will be in some class interval. So, it is necessary to find the value inside the class interval that divides the whole distribution into two halves.
In this scenario, we have to find the median class.
To find the median class, we have to find the cumulative frequencies of all the classes and n/2.
After that, locate the class whose cumulative frequency is greater than (nearest to) n/2. The class is called the median class.
After finding the median class, use the below formula to find the median value.
[tex]Median = l +(\frac{\frac{n}{2}- cf}{f} )*h[/tex]
Where
l is the lower limit of the median class
n is the number of observations
f is the frequency of median class
h is the class size
cf is the cumulative frequency of class preceding the median class.
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What is the solution of the linear quadratic system of equations y x 2 5x 3?
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The quadratic solution of the linear system of equations y = x2 + 5x - 3 is y = (x+3)(x-1).
1. Rewrite the equation as y = x2 + 5x - 3
2. Factor the equation by grouping the terms: y = (x+3)(x-1).
3. Set each factor equal to 0 and solve for x: x+3 = 0 and x-1 = 0
4. Solve each equation: x = -3 and x = 1
5. Substitute the values of x into the original equation to find the corresponding values of y:
y = (-3+3)(-3-1) = (-3)(-4) = 12
y = (1+3)(1-1) = (4)(0) = 0
Therefore, the solution of the linear quadratic system of equations y = x2 + 5x - 3 is y = (x+3)(x-1).
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Which is an x-intercept of the continuous function in the table? Group of answer choices (0, –6) (3, 0) (–6, 0) (0, 3)
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(3,0) is an x-intercept of the continuous function in the table.
What is x-intercept and y-intercept?If the graph of a function crosses the x-axis, then the function has an x-intercept. The x-intercept(s) of a function are called the zeros or the roots of the function.
If the graph of function crosses the y-axis, then the function has a y-intercept. A function can have at most one y-intercept.
Given that,
The table with x as the domain and f(x) as the range.
To find the x-intercepts, we need to find all the x-values that support the equation; f(x) = 0. An x-intercept is the first component of the ordered pair (k,0). Where k is any real number.
A y-intercept is the second component of the ordered pair (0,c), where c is any real number.
From the table provided, stated that:
x-intercept is (3,0), y-intercept is (0, -6).So, the x-intercept becomes: (3,0).
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The complete question is as follows:
Which is an x-intercept of the continuous function in the table? (0,-6) (3,0) (-6, 0) (0, 3)
What is the solution of the system of equations?
y = -x + 4
y=-x+1
1
2
-2 0
2
y
2
Answers
Answer:
no solutions
Step-by-step explanation:
y = -x + 4
y=-x+1
-x+1 = -x+4 ==> since y=-x+1 and y=-x+4, -x+1=-x+4
-x+1-1 = -x+4-1 ==> isolate x on one side by subtracting 1 on both sides
-x = -x+3
-(-x) = -(-x+3)
x = x - 3 ==> this isn't equal since a number won't have the same value if
you take away 3 from it.
Hence, there are no solutions.
Answer:
There is no solution
Step-by-step explanation:
y = -x + 4
y=-x+1
If we solve
-x + 4 = -x +1
Add x to both sides and it will be 0
So, there is no solution!
What are the documents needed for SSS sickness benefit?
Answers
The documents needed for SSS loan sickness benefit are as follows :
Sickness Benefit Application (SBA) FormAny legitimate primary ID card or document, such as an SS ID or UMID, as follows:- Driver’s License
- Passport
- Voter’s ID Card
- National Bureau of Investigation (NBI) Clearance
- Postal Identity Card
- Any other government-issued (secondary) ID cards/documents
supporting medical records, if any, for extended illness or incarceration :- Laboratory, X-ray, ECG, and other diagnostic results
- Operating room/clinical record that will support the diagnosis
For illnesses or injuries that occurred abroad, the issuing nation's official documentation must include an English translation and be properly authenticated by the Philippine Embassy or Consulate Office or properly certified by a notary public of the receiving nation.
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What is the equation of the line that has a slope of -3 and contains a point (-2,3) ?
Answers
Answer:
y=-3x-1, or 3x+y=-1
Step-by-step explanation:
well uh hopefully you don't need this
Answer: y=-3x+
Step-by-step explanation:
take the slope and the y and plug it into the equation y=mx+
What are 3 parts of a circle called?
Answers
Radius, diameter, center, and circumference--all are parts of a circle .Every point in the plane that is a certain distance away from a certain point forms a circle (center).
what is circle?Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.
Area of circle =
[tex]\pi r^2\\r = 10\\A = 3.14 X 10 X 10\\A = 314 unit sq\\[/tex]
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What is the slope ratio for 30 degree angle?
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The slope ratio for a line that makes an angle of 30 with the positive direction of the x-axis is 1:√3
The slope of a line is nothing but the change of the line in the y-coordinate concerning the change in the x-axis. So the slope is simply nothing but a ratio of change in the y-axis to change in the x-axis which is also called slope ratio.
m = change in y / change in x
tan 30= 1/√3 = change in y / change in x
tan 30= 1: √3
So the ratio of an angle of 30-degree slope will be 1:√3
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The snake travels 49 centimeters in one hour. At that rate, how long does it take the snake to go 686 centimeters?
Answers
Answer: It would take the snake approximately 14 hours to travel 686 centimeters
Step-by-step explanation:
At a rate of 49 centimeters per hour, it would take the snake approximately 14 hours to travel 686 centimeters. To find this, we can divide the distance the snake needs to travel by the rate at which it can travel to find the time it would take: 686 centimeters / 49 centimeters/hour = approximately 14 hours
How to find the sides of a 30 60 90 Triangle calculator?
Answers
Trigonometry Examples Popular Issue Trigonometry Solve the Triangle tri {} {30} {} {60} {} {90} Side Angle is given as b = c = a = A = 30 B = 60 C = 90 Side Angle b = c = a = A = 30 B = 60 C = 90
30 60 90 triangle sides If we know the shorter leg length a, we can find out that: b = a√3 c = 2a If the lasting leg length b is the one parameter given, then:
a = b√3/3 c = 2b√3/3 For hypotenuse c known, the legs formulas Now as follows: a = c/2 b = c√3/2 Or simply type your given values and the 30 60 90 triangle calculator will do the rest!
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What is the factor of 7?
Answers
There are only prime factors of the number 7 that are possible which are 1 and 7.
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
Prime factorization is the process of expressing a number as the sum of all its prime factors. In prime factorization, each and every integer is a prime number.
Factors can be found using either division or multiplication. Rules of divisibility can also be used.
There are only prime factors of the number 7 that are possible which are 1 and 7.
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How do you graph inequalities on a calculator?
Answers
Linear equations are one-degree equations. It is a straight-line equation. A linear equation with parameters a and b equal to zero has the conventional form ax + by + c = 0.
What is a linear inequality?The graph of a two-variable inequality is the set of points that describe all solutions to the inequality. The coordinate plane is split in half by a boundary line created by a linear inequality, with one-half representing the solutions to the inequality.
It's a line with a shaded side on one side to show which xy pairings are the inequality's solutions.
Following steps to graph inequalities on a calculator:
1) Press the [Y=].
2) Press [3] [X,T,θ,n] [+] [2] on Y1.
3) Press [◄] six times until the symbol to the left of Y1 is flashing.
4) Press [ENTER] [▼] to select the Line area.
5) Press [►] repeatedly until a triangle pointing to the lower part is displayed.
6) Press [▼] [ENTER].
7) This will change the graph style to shade below the function (this style was chosen because the solution set consists of all real numbers below the line of the y= equation).
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please help with the promblem
Answers
The system of the equation's solution is x = -6 and y = 4 which is determined by graphically.
The system of equations is given in the question as:
y = 1/6 x + 5
4x + 3y = -12
For the first equation, y = 1/6x + 5, we can plug in two values for x and solve for y to find two points on the line. Let's plug in x = 0 and x = 1 to find two points:
When x = 0, y = 1/6(0) + 5 = 5. So the point (0, 5) lies on the line.
When x = 1, y = 1/6(1) + 5 = 5 + 1/6 = 5 1/6. So the point (1, 5 1/6) lies on the line.
For the second equation, 4x + 3y = -12,
Let's plug in y = 0 and y = 1 to find two points:
When y = 0, 4x + 3(0) = -12.
4x = -12, so x = -3. So the point (-3, 0) lies on the line.
When y = 1, 4x + 3(1) = -12.
4x + 3 = -12, so x = -4. So the point (-4, 1) lies on the line.
To solve these equations graphically, we plotted the lines on the coordinate plane, found the point of intersection, and then found the coordinates of that point.
Thus, the solution to the system of equations is x = -6 and y = 4.
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What is (3x^3 −2x^2 +6x−1) subtracted from the sum
of (2x^3 −3x+2) and (5x^2 +4x−6)?
Answers
Answer:
the result of subtracting (3x^3 −2x^2 +6x−1) from the sum of (2x^3 −3x+2) and (5x^2 +4x−6) is −x^3 +3x^2 +7x−5.
Step-by-step explanation:
To find the result of subtracting (3x^3 −2x^2 +6x−1) from the sum of (2x^3 −3x+2) and (5x^2 +4x−6), we can first add the two given expressions to find the sum, and then subtract the third expression from that sum.
The sum of (2x^3 −3x+2) and (5x^2 +4x−6) is:
(2x^3 −3x+2) + (5x^2 +4x−6) = 2x^3 +5x^2 −3x+4x −6 = 2x^3 +5x^2 +x−6
Subtracting (3x^3 −2x^2 +6x−1) from this sum gives us:
(2x^3 +5x^2 +x−6) − (3x^3 −2x^2 +6x−1) = (2x^3 −3x^3) + (5x^2 −2x^2) + (x+6x) − (−1−6) = −x^3 +3x^2 +7x−5
Therefore, the result of subtracting (3x^3 −2x^2 +6x−1) from the sum of (2x^3 −3x+2) and (5x^2 +4x−6) is −x^3 +3x^2 +7x−5.