What is (3x2+x-1)(x^4-2x+1)

The actual cost to see the game is $150, as that is the amount you paid for the ticket. The cost in this scenario can be considered an opportunity cost. By choosing to attend the game instead of selling the ticket for $400, you forgo the opportunity to earn that additional $400.

In this scenario, the cost of attending the game refers to the actual amount of money you spent on the ticket, which is $150. This is the out-of-pocket expense that directly affects your financial resources.

On the other hand, the opportunity cost is the potential benefit or value that you give up by choosing one option over another. In this case, if you had sold the ticket for $400, you would have received a higher amount of money, which represents the opportunity cost of attending the game. By deciding to go to the game, you forego the opportunity to earn that additional $400.

Opportunity cost is a concept in economics that emphasizes the value of the next best alternative forgone when making a decision. It helps assess the trade-offs involved in different choices and helps in evaluating the true cost of a decision beyond the immediate financial expenses.

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Answer:

I don't know why this always happens to me it looks black can u ask the question and I will answer

The given shape in the image is not an equilateral triangle.

The triangle with all three sides equal and all the angles equal is called an equilateral triangle.

In the given figure we can see a triangle this triangle is not an equilateral triangle because the figure is formed between a square grid now if you see closely the base of the triangle can not be equal to the two sides of the triangle.

Because these two sides are the hypotenuse for the remaining right-angle triangle. So the base of the highlighted triangle can not be equal to the other two sides of the triangle.

Therefore given shape in the image is not an equilateral triangle.

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Answer:You have 2 cards upfront, so the constant term in this linear equation is 2.  The slope represents how many more cards you buy or acquire per day, week or month (depending upon how eager you are to fatten your collection).  ;)

y = 2 + (rate of acquisition of cards)(time)

y = 2 + rt

Answer:

$15.60

Step-by-step explanation:

We can solve this problem easily by adding up Miguel's expenses, and then subtracting them from the amount he started with. Be careful, as he pays $4, not $2, in total for bus fare, because he is paying $2 to and from:

\(6.75+3.65+4.00\)

\(=14.40\)

Let's subtract our sum, \(14.40\), from our total, \(30\):

\(30-14.40\)

\(=15.60\)

Miguel has $15.60 left.

SOLUTION

Given the graph of the transformed function g(x) in the image on the question tab.

Considering the rules of transformation below;

Final answer:

The expression (19 - (3 × 5)) × 20 is Equivalent to 80.

We are given a mathematical expression:19 - 3 × 5 19 - 3 × 5 19−3×519−3×5

We are to put the parentheses to make it equivalent to 80.

Since we know that multiplication has to be carried out before subtraction,

so if we put a pair of parentheses around 3 and 5, it will tell the calculator to do the multiplication first.

Thus, we have:(19 - (3 × 5))We can simplify this expression further as: (19 - 15) = 4

Therefore, the expression (19 - (3 × 5)) is equivalent to 4, but we need to make it equal to 80.

So, we can multiply 4 by 20 to get 80, i.e. we can put another pair of parentheses around 19 and (3 × 5) as follows:(19) - ((3 × 5) × 20)

Now, simplifying this expression we get:19 - (60 × 20) = 19 - 1200 = -1181

Therefore, the expression (19 - (3 × 5)) × 20 is equivalent to 80.

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Answer:

x=50 degrees

Step-by-step explanation:

this is a straight angle which is 180 degrees.

we know one angle is 25

so 3x+5=155

using algebra

3x=150

x=50

hope that helps =)

Answer:

x=50 degrees

Step-by-step explanation:

hope this helps:)

The slope of the tangent line of the curve formed by the intersection of the plane y=1 and the surface z=x⁵+2xy−y⁵ at the point P=(1,1,2) is 7.

To find the curve formed by the intersection of the plane y=1 and the surface z=x⁵+2xy−y⁵, we substitute y=1 into the equation of the surface to obtain z=x⁵+2x-1. Thus, the curve is described by the parametric equations x=t and z=t⁵+2t-1, where t is the parameter.

To find the slope of the tangent line at point P=(1,1,2), we first find the value of t at that point by substituting x=1 into the parametric equation for x and z=2 into the equation for z. Solving for t, we obtain t=1.

        z = x⁵+2x-1

To find the slope of the tangent line, we take the derivative of the equation for z with respect to x, which is dz/dx=5x⁴+2. Substituting x=1 (the value of x at point P), we obtain dz/dx=7.

dz/dx = 5(1)⁴ + 2 =7

Thus, the slope of the tangent line of the curve at point P is dz/dx=7. However, this slope is with respect to x, and we need to find the slope with respect to y since the plane y=1 is fixed. To do this, we use the chain rule and the fact that dy/dx=0 (since y is fixed) to obtain:

dz/dy = dz/dx × dx/dy

= (5x⁴+2) * 0

= 0

Therefore, the slope of the tangent line of the curve at point P with respect to y (i.e., the slope of the tangent line in the xy-plane) is 0. Finally, we use the fact that the slope of the tangent line is the same as the slope of the curve in the direction of the tangent line to obtain the slope of the tangent line as:

slope of tangent line = dz/dx / dz/dy

= 7/0

= undefined

This means that the tangent line is vertical, which has an undefined slope. However, we can still talk about the one-sided limits of the slope as we approach the point P from the left and right sides. Since dz/dx=5x^4+2 is an increasing function of x, the limit of dz/dx as x approaches 1 from the left is 7-epsilon for any positive epsilon, and the limit as x approaches 1 from the right is 7+epsilon for any positive epsilon.

Complete Question:

The plane y=1 intersects the surface z=x5+2xy−y5 in a certain curve. Find the slope of the tangent line of this curve at the point P=(1,1,2).

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The exact answer is 12.

To evaluate this limit, we can use L'Hopital's rule to take the derivative of both the numerator and denominator separately and then plug in x=0.

Taking the derivative of 6xex gives us 6ex + 6xex, which simplifies to 12ex. Taking the derivative of cos(173) - 1 gives us 0.

So, the limit becomes:

lim x->0 (12ex) / 0

Since the denominator is 0, we cannot simply evaluate this limit using L'Hopital's rule again. However, we can see that the numerator approaches a value of 12 as x approaches 0. Therefore, the limit exists and is equal to 12.

So the exact answer is 12.

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The Spearman rank-order correlation coefficient is a measure of the direction and strength of the linear relationship between two ordinal variables.

Spearman's rank-order correlation is used when two variables are measured on an ordinal scale.

What is the Spearman Rank-Order Correlation Coefficient?

The Spearman Rank-Order Correlation Coefficient is a non-parametric statistical measure that estimates the relationship between two variables using ordinal data.

It evaluates the strength and direction of a relationship between two variables by rank-ordering the data.

The Spearman correlation coefficient, named after Charles Spearman, calculates the association between two variables' rankings.

The correlation coefficient ranges from -1 to +1. A value of +1 indicates that there is a perfect positive relationship between the variables, whereas a value of -1 indicates that there is a perfect negative relationship between the variables.

In contrast, a value of 0 indicates that there is no correlation between the variables.

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Answer:

2240

Step-by-step explanation:

112% = 1.12

725 + 579 + 696 (all 3 years combined) = 2000

2000 x 1.12 = 2240

The solution to this system of linear equations is  (7, 3).

What is equation?

In mathematics, an equation is a formula that expresses the equivalency of two expressions, by connecting them with the equals sign =

Main body:

x - 3y = -2

x = 3y - 2 ….. (1)

x + 3y = 16 …… (2)

Let us solve the system of linear equations using the substitution method.

Substituting x in equation (2)

3y - 2 + 3y = 16

6y = 16 + 2

6y = 18

Divide both sides by 6

y = 3

Substituting the value of y in equation (1)

x = 3 (3) - 2

x = 9 - 2

x = 7

Therefore, the solution is (7, 3).

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Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

The shape of the graph changes qualitatively at k = ± 2 and

\(k=\sqrt{(2)\).

The given function is f(x,y) = y-x²+y²+kxy.

The critical points of the function are found by taking the partial derivatives and equating them to zero:

∂f/∂x = -2x + ky = 0

y = 2x/k

∂f/∂y = 2y + kx = 0

y = -kx/2

Substituting y from the first equation into the second equation gives

x = k²x/4, so k² = 4 and k = ± 2.

Therefore, the critical points are (0,0), (2,4), and (-2,4)

We will now examine the critical points to see when the shape of the graph changes qualitatively.

There are two cases to consider:

Case 1: (0,0)At (0,0), the Hessian matrix is

H = [∂²f/∂x² ∂²f/∂x∂y;∂²f/∂y∂x ∂²f/∂y²]

=[ -2 0;0 2].

The determinant of the Hessian matrix is -4, which is negative.

Therefore, (0,0) is a saddle point and the graph changes qualitatively as k increases for all values of k.

Case 2: (±2,4)At (2,4) and (-2,4), the Hessian matrix is

H = [∂²f/∂x² ∂²f/∂x∂y;∂²f/∂y∂x ∂²f/∂y²]

=[ -2k 2k;2k 2].

The determinant of the Hessian matrix is 4k²+8, which is positive when k is greater than √(2).

Therefore, the critical points (2,4) and (-2,4) are local minima when

k > √(2).

Thus, the shape of the graph changes qualitatively at k = ± 2 and

k = √(2).

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Answer:

  vertical asymptote: x = 3

  slant asymptote: y = x+5

Step-by-step explanation:

You want the vertical and slant asymptote of the graph of the rational function ...

  y = (x² +2x -3)/(x -3)

Using synthetic division (see the first attachment), we find the quotient to be (x+5) and the remaining rational function term to be 12/(x-3).

There is a vertical asymptote at the value of x where the denominator is zero: x = 3.

The slant asymptote is the polynomial part of the quotient:

  y = x +5

The asymptotes are the orange dashed lines in the second attachment.

<95141404393>

Applying the definition of supplementary angles, the reasons that complete the two-column proof that proves x = 15 are:

a. Substitution property

b. Combine like terms

c. Division property of equality.

Two angles are supplementary angles if their sum is equal to 180 degrees when they are added together.

Given that m∠RST = 5x° and m∠UVW = 7x°, and both angles are supplementary angles, the two-column proof that proves x = 15 is shown below.

Statement                                  Reason                                            

m∠RST = 5x°; m∠UVW = 7x°    Given

∠RST and ∠UVW are

supplementary angles.

m∠RST + m∠UVW = 180          Definition of supplementary angles

5x + 7x = 180                             Substitution property

12x = 180                                   Combine like terms

x = 15                                         Division property of equality

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Answer:

Try 2

Step-by-step explanation:

Mean means add all the numbers and divide by how many there are so:

1+2+3+4=10

Then divide how many there are which is 5

so lastly 10÷5=2

The length of the fabric which Brandon formed a rectangle, is 11 inches.

To find the length of the fabric, we can use 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 other two sides.

In this case, the length of the fabric is one of the other two sides, and the diagonal cut is the hypotenuse. So, we can write the equation:

\(L^2 + 5^2 = 13^2\)

where L is the length of the fabric.

Solving for L, we get:

\(L^2 = 144 - 25 = 119, and L =\sqrt{119} = 11.\)

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Answer: 3/1

Step-by-step explanation:

A

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

10x + 10 and 110 are vertical angles and are congruent, thus

10x + 10 = 110 → D

Subtract 10 from both sides

10x = 100 ( divide both sides by 10 )

x = 10

Answer:

100 in ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+ b2) *h  where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 16+9) * 8

   = 1/2 ( 25) *8

   = 100 in ^2

Answer:

8*8*8= 512

Step-by-step explanation:

hope it helps!

Answer:

The slope is 2

Step-by-step explanation:

Take any two points on the line.  I am going to use the points (0,-8) and (4,0)  Points are in the form (x,y)  The y values form the two points is 0 and -8.  The x values are 4 and 0.

The slope is the change in y over the change in x.

\(\frac{0- -8}{4-0}\) = \(\frac{8}{4}\) = 2

Answer:

They are supplementary.

Step-by-step explanation:

A linear pair consists of two opposite angles whose non-common sides create a straight line. If a linear pair consists of two angles, then they are supplementary

Answer:

the answer is 111

Step-by-step explanation:

\(180 - 36 - 75 = 69\)

\(180 - 69 = 111\)

Answer:

x = 111°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, thus

x = 75° + 36° = 111°