Write a power function (y=ax^b) whose graph passes through the points (2,5) and (6,9)
show work

Answers

Answer 1

Answer:

To find the values of a and b that make the power function y = ax^b pass through the points (2,5) and (6,9), we can use the following system of equations:

5 = a2^b

9 = a6^b

We need to solve for a and b in this system.

One way to do this is to divide the second equation by the first equation, which eliminates a and gives:

9/5 = (6/2)^b

Simplifying this gives:

9/5 = 3^b

Taking the logarithm of both sides (with any base) gives:

log(9/5) = log(3^b)

Using the logarithmic property that log(a^b) = b*log(a), we get:

log(9/5) = b*log(3)

Solving for b, we get:

b = log(9/5) / log(3)

Plugging this value of b into one of the original equations (e.g., the first one) gives:

5 = a*2^(log(9/5)/log(3))

Solving for a, we get:

a = 5 / 2^(log(9/5)/log(3))


Related Questions

Find A - B Enter the element in row 3 column 2. A=[[-1,0,2],[4,1,-1],[2,0,1]],B=[[2,1,0],[-1,0,2],[4,-3,-1]]

Answers

A - B is 5.

To find A - B, subtract each corresponding element in B from the corresponding element in A.

For the element in row 3, column 2, it is 2 - (-3) = 5.

Therefore,

the element in row 3, column 2 of A - B is 5.

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Evaluate each of the following, using special products of algebraic expressions: 52^(2)=52

Answers

The answer is 49

To evaluate the given expression, we will use the special product formula for the square of a binomial:

(a+b)^(2)=a^(2)+2ab+b^(2)

In this case, we have:

52^(2)=(5+2)^(2)=5^(2)+2(5)(2)+2^(2)=25+20+4=49

Therefore, the answer is:

52^(2)=49

So, using the special products of algebraic expressions, we can evaluate the given expression to be 49.

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How many can a mother, a father aed Their 3 kids be seated in ao row, suce that P=n

Answers

There are 120 different ways to arrange a mother, a father, and their 3 kids in a row.

There are several ways to arrange a mother, a father, and their 3 kids in a row. One way is to use the permutation formula, which is given by:

P = n! / (n - r)!

Where n is the total number of items and r is the number of items to choose from. In this case, n = 5 (mother, father, and 3 kids) and r = 5 (since we are choosing all 5 items).

Plugging in the values into the formula, we get:

P = 5! / (5 - 5)!
P = 5! / 0!
P = 120 / 1
P = 120

Therefore, there are 120 different ways to arrange a mother, a father, and their 3 kids in a row.

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Determine the solution to each linear system by using the substitution method

2x+3y=34
y=5x


(2, 10)
(2, -6)
(-3, 5)
(4, 3)

Answers

put y = 5x in equation 1 :

2x + 3 (5x) = 34

2x + 15x = 34

17x = 34

x = 2

Now put x = 2 in any of the two equation to get

y :

y = 5x

y = 5 × 2

y = 10

What number must be added to both sides of the equation x2 + 12x = 13 so
that the method of completing the square can be used to solve the roots?
A. 64
B. 49
C. 36
D. 25​

Answers

The number that must be added to both sides of the equation x2 + 12x = 13 so that the method of completing the square can be used to solve the roots is 36. The correct answer is C. 36.

To complete the square, we need to add the square of half the coefficient of the x term to both sides of the equation. In this case, the coefficient of the x term is 12, so half of it is 6. The square of 6 is 36, so we need to add 36 to both sides of the equation. Hence the correct option is C) 36.

The equation then becomes:
x2 + 12x + 36 = 13 + 36

Simplifying the right side of the equation gives us:
x2 + 12x + 36 = 49

Now we can factor the left side of the equation into a perfect square:
(x + 6)2 = 49

From here, we can use the square root property to solve for x:
x + 6 = ±√49

Solving for x gives us:
x = -6 ± 7

So the roots of the equation are x = 1 and x = -13.

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what is the simplest form of the radical expression sqrt2+sqrt3/sqrt2-sqrt3
please show work

Answers

Answer:

-5 - 2sqrt6

Step-by-step explanation:

To simplify (sqrt2+sqrt3)/(sqrt2-sqrt3), we can rationalize the denominator, which involves multiplying both the numerator and denominator by the conjugate of the denominator.

The conjugate of sqrt2-sqrt3 is sqrt2+sqrt3, so we can multiply both the numerator and denominator by sqrt2+sqrt3:

(sqrt2+sqrt3)/(sqrt2-sqrt3) * (sqrt2+sqrt3)/(sqrt2+sqrt3) = ((sqrt2+sqrt3)(sqrt2+sqrt3))/((sqrt2-sqrt3)(sqrt2+sqrt3))

Expanding the numerator and simplifying, we get:

(sqrt2+sqrt3)^2 / (sqrt2^2 - sqrt3^2)

= (2 + 2sqrt2sqrt3 + 3) / (2 - 3)

= (5 + 2sqrt6) / (-1)

= -5 - 2sqrt6

Therefore, (sqrt2+sqrt3)/(sqrt2-sqrt3) simplifies to -5 - 2sqrt6.

The simplest form of the expression (√2 + √3) / (√2 - √3) is - (5 + 2√6).

We have,

To simplify the expression (√2 + √3) / (√2 - √3), we can rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of the denominator.

The conjugate of (√2 - √3) is (√2 + √3).

Multiplying the numerator and denominator by (√2 + √3), we get:

[(√2 + √3) x (√2 + √3)] / [(√2 - √3) x (√2 + √3)]

Expanding both the numerator and denominator:

[(√2 + √3)(√2 + √3)] / [√2 x √2 - √2 x √3 + √3 x √2 - √3 x √3]

Simplifying:

[2 + 2√2√3 + 3] / [2 - 3]

Combining like terms:

[5 + 2√6] / [-1]

Since the denominator is -1, we can multiply both the numerator and denominator by -1 to simplify further:

[5 + 2√6] / 1

Finally, we have:

(5 + 2√6)

Therefore,

The simplest form of the expression (√2 + √3) / (√2 - √3) is - (5 + 2√6).

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Consider the following polynomial. 6x^(2)-12xy+18xy^(2) Find the GCF of 6x^(2),-12xy, and 18xy^(2). Factor the polynomial by factoring out the GCF.

Answers

The expression when factored by the GCF is 6x(x - 2y + 3y^2)

How to factor the expression by the GCF

From the question, we have the following parameters that can be used in our computation:

6x^2 - 12xy + 18xy^2

The greatest common factor (GCF) of 6x^2, -12xy, and 18xy^2 is 6x, which is the largest number that divides each term evenly.

To factor the polynomial by factoring out the GCF, we can divide each term by 6x to get:

6x^2/6x = x

-12xy/6x = -2y

18xy^2/6x = 3y^2

So the polynomial can be factored as:

6x^2 - 12xy + 18xy^2 = 6x(x - 2y + 3y^2)

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the missing variable y varies directly with x. If y=75 when x=25, find x when y=25

Answers

The answer is value of x when y=25 are 8.33.

The missing variable y varies directly with x, which means that y = kx, where k is a constant.

We can use this equation to find the value of k and then use it to find the value of x when y=25.

First, let's find the value of k:
y = kx
75 = k*25
k = 75/25
k = 3

Now that we know the value of k, we can use it to find the value of x when y=25:
y = kx
25 = 3x
x = 25/3
x = 8.33

Therefore, the value of x when y=25 is 8.33.

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What are the other three angle measures if ∠1 has a measure of 45°?

Answers

The measures of the other three angles are: ∠2 = ∠3 = 67.5° and ∠4 = 0°.

Define an angle?

An angle is a geometric figure formed by two rays that share the same endpoint called vertex. It is measured in degrees, radians or gradians and is usually denoted by the vertex letter in its center, with the endpoints labeled by two other letters or points.

Since the sum of the measures of the angles in a triangle is 180 degrees, we can use this information to find the measures of the other three angles.

If ∠1 has a measure of 45°, then we know that the sum of the measures of ∠2 and ∠3 is 135° (180° - 45°).

If the triangle is isosceles, then ∠2 and ∠3 have the same measure. Therefore, we can divide 135° by 2 to get:

∠2 = ∠3 = 67.5°

Finally, we can use the fact that the angles of a triangle add up to 180° to find the measure of ∠4:

∠4 = 180° - 45° - 67.5° - 67.5° = 0°

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hey you can you help and if your don’t know then don’t answer pls thx

Answers

The cοrrect statement is the segment GC is transversal tο segments KG and QC.

What is a transversal line?

A line that crοsses twο οr mοre lines in the same plane at different lοcatiοns is said tο be transversal. Accοrding tο the fundamental prοpοrtiοnality theοrem (alsο knοwn as Thales' theοrem), if three οr mοre parallel lines crοss acrοss twο transversals, they prοpοrtiοnally cut οff the transversals.

We have given the statements are:

A). KG QC.

B) KG and QC intersect at a right angle.

C) KQ || GC.

D) GC is transversal tο KG and QC.

Therefοre, here in the figure, segment GC intersects segments KG and QC in the same plane at different lοcatiοns.

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Jake uses the formula d=rt
d
=
r
t
to find d, the distance when he rides his bike for t hours at a rate, r, of 15 miles per hour. What is the value of d when t=3
t
=
3
?

Answers

The value of d when t=3 is 45 miles. This means that Jake has covered a distance of 45 miles in 3 hours riding his bike at a rate of 15 miles per hour.

How to calculate distance?

Distance is a measure of the length between two points. To calculate distance, we need to know the coordinates of the two points. We can use the Pythagorean theorem to calculate the distance.

The formula d=rt is used to calculate the distance traveled when a rate, r, and time, t, are given. In this case, Jake is riding his bike at a rate of 15 miles per hour for 3 hours. To calculate the distance, d, traveled, we can substitute the given values into the formula.

d = 15 * 3

d = 45

Therefore, the value of d when t=3 is 45 miles. This means that Jake has traveled 45 miles in 3 hours riding his bike at a rate of 15 miles per hour. This formula can also be used to calculate the time, t, when the rate, r, and distance, d, are known. To find the time, t, simply divide the distance, d, by the rate, r.

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rewrite as an equation . A number divided by 6 equals 3

Answers

The statement, a number divided by 6 equals 3, is written as an equation is x/6 = 3

What are algebraic expressions?

Algebraic expressions are simply defined as expressions that are made up of terms, coefficients, variables, constants and factors.

These expressions are also identified with arithmetic operations, such as;

AdditionMultiplicationDivisionBracketParenthesesSubtraction

From the information given, we have that;

A number divided by 6 equals 3

Now, let's say the number be x

This is represented as an equation thus;

x/6 = 3

Hence, the equation is x/6 = 3

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what is 92199+20923+29290+83292+2819+99279+38471+378141

Answers

92199+20923+29290+83292+2819+99279+38471+378141

= 744414

1. Would
you prefer to work for a large corporation or small business whose
owners you know? Give at least two reasons for your
choice.

Answers

Large corporations often offer better benefits and opportunities for career advancement.

Large corporations often have more resources available for employee training and development.

I would prefer to work for a large corporation for two reasons. First, large corporations often offer better benefits and opportunities for career advancement. Second, large corporations often have more resources available for employee training and development. While working for a small business whose owners I know may provide a more personal and intimate work environment, I believe that the benefits of working for a large corporation outweigh the potential drawbacks.

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Determine whether the following trinomial is a perfect square trinomial. 16a^(2)-40ab+25b^(2)

Answers

Yes, the given trinomial is a perfect square trinomial.

To determine whether a trinomial is a perfect square trinomial, we can use the formula:
(a-b)^(2) = a^(2) - 2ab + b^(2)

In this case, we can compare the given trinomial with the formula and see if it matches.

16a^(2)-40ab+25b^(2) = (4a)^(2) - 2(4a)(5b) + (5b)^(2)

This matches the formula, so we can conclude that the given trinomial is a perfect square trinomial.

Another way to determine whether a trinomial is a perfect square trinomial is to factor it and see if it can be written as a binomial squared.

In this case, we can factor the given trinomial as follows:

16a^(2)-40ab+25b^(2) = (4a-5b)(4a-5b) = (4a-5b)^(2)

Since the trinomial can be written as a binomial squared, we can conclude that it is a perfect square trinomial.

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Riya is applying mulch to her garden. She applies it at a rate of
250
,
000
cm
3
250,000 cm
3
250, comma, 000, start text, space, c, m, end text, cubed of mulch for every
m
2

Answers

Riya applying mulch in m³/ m² at the rate of 0.25 m³

To calculate the rate of mulch application in m³/m², we need to convert the given rate of 250,000 cm³/m² into m³/m². We can do this by using the conversion factor: 1 m³ = 1,000,000 cm³.

So, 250,000 cm³/m² can be converted to m³/m² as follows:

250,000 cm³/m² × (1 m³/1,000,000 cm³) = 0.25 m³/m²

This means that for every square meter of garden space, Riya is applying 0.25 m³ of mulch.

It's important to note that rate refers to the amount of mulch applied per unit of garden space. In this case, the unit is m². By expressing the rate in m³/m², we're specifying the volume of mulch applied per unit of area.

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Complete Question:

Riya is applying mulch to her garden. She applies it at a rate of 250,000 cm³ of mulch for every m² of garden space. At what rate is Riya applying mulch in m³/ m²?

"Find the x-values (if any) at which f is not
continuous. Which of the discontinuities are removable? (Use
k as an arbitrary integer.)
f(x) = [[x − 2]]
Please explain how to solve I'm stuck."

Answers

Therefore, f(x) = [[x − 2]] is discontinuous at x = k - 2 and x = k + 2. The discontinuities at these points are removable.


The function f(x) = [[x − 2]] is discontinuous at any value of x that is two units away from an integer. That means it is discontinuous at x = k - 2 and x = k + 2, where k is any arbitrary integer.

The discontinuities at x = k - 2 and x = k + 2 are both removable. That is because the discontinuities occur when the left- and right-hand limits of the function are not equal, and the limits can be made equal by redefining the value of the function at the point of discontinuity.

To solve the problem, set the left- and right-hand limits equal to each other and solve for x.

Left-hand limit: lim x→k-2  f(x) = lim x→k-2 [[x − 2]] = [[k - 2 - 2]] = [[k - 4]]
Right-hand limit: lim x→k+2  f(x) = lim x→k+2 [[x − 2]] = [[k + 2 - 2]] = [[k]]

Equating the two limits, we have [[k - 4]] = [[k]]. Solving for x, we get x = k - 2 and x = k + 2.

Therefore, f(x) = [[x − 2]] is discontinuous at x = k - 2 and x = k + 2. The discontinuities at these points are removable.
Hope this helps!

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jimmy has 28 candy bars from Halloween. he eats 7, and his mom takes 9, how much does jimmy have left?

Answers

Answer:

jimmy has 12 candy bars left

Step-by-step explanation:

28-7-9=12

Answer:

Jimmy has 12 candy bars.

Step-by-step explanation:

Subtract 28 from 7.
=21

21-9=12.
Jimmy has 12 candy bars left if he eats 7 and his mom takes 9.

The temperature in Madadeni one morning was -5°C at 08:00 and increased by 2°C every hour until 12:00. What will the temperature be at 11:30​

Answers

Answer:

Step-by-step explanation:

20c is the answer

Answer:

ans is 14

Step-by-step explanation:

i do not think is this by i know is 14

a x=6 angle measure is 36
b x=9 angle measure is 36
c x=6 angle measure is 54
d x=9 angle measure is 54

Answers

Answer:

A

Step-by-step explanation:

6x° and 54° form the angle of 90° , that is

6x + 54 = 90 ( subtract 54 from both sides )

6x = 36 ( divide both sides by 6 )

x = 6

then

6x = 6 × 6 = 36°

Point R is the midponit of XY. If XR = 5x+2 cm and XY= 14x+1 cm , what is the ength of RY in cm ?

Answers

Using midpoints, The length of RY is (9x - 1)/2 cm.

What is the midpoint?

A midpoint is a point that is exactly halfway between two other points. In geometry, the midpoint of a line segment is the point on that line segment that is equidistant from both endpoints.

For example, in a line segment AB, the midpoint M is the point on AB that is equidistant from A and B. In other words, the distance from A to M is the same as the distance from M to B. The midpoint M is located at the exact center of line segment AB, and it divides the segment into two equal parts.

The midpoint can also be thought of as the average of the x-coordinates and y-coordinates of the endpoints. For a line segment with endpoints (x1, y1) and (x2, y2), the midpoint has coordinates:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Since R is the midpoint of XY, we know that RX = RY.

We are given that XR = 5x+2 cm and XY = 14x+1 cm.

Thus, RX + RY = XY

Substituting RX = RY, we get:

RY + RY = 14x + 1 - (5x + 2)

Simplifying the right side, we get:

RY + RY = 9x - 1

2RY = 9x - 1

RY = (9x - 1)/2

Therefore, the length of RY in cm is (9x - 1)/2.

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You score a goal on the Wayne High School Practice Field at an angle of 58 828 degrees from the sideline. You measure the length of where you scored to the sideline at 88 1 feet Based on the below triangle, what would the distance from where you taunched the ball to the goal be? (in other words solve for distance x in triangle below where the red line is x 58.828 tegrees, 88.1 feet, x = (Use the built in calculator in right sidebar to answer Make sure the setting is on Deg on top left of calculator for degrees) Round your answer to nearest tenth feet
x = _____ feet.

Answers

The distance from where you launched the ball to the goal is 52.6 feet.

The goal of this problem is to find the distance x from where you launched the ball to the goal. To do this, we can use the trigonometric function tangent. The tangent of an angle in a right triangle is equal to the opposite side divided by the adjacent side. In this case, the opposite side is the distance from where you scored to the sideline (88.1 feet) and the adjacent side is the distance we are trying to find (x).

So, we can set up the equation:

tan(58.828) = 88.1/x

Next, we can cross multiply to get:

x*tan(58.828) = 88.1

Then, we can divide both sides by tan(58.828) to get:

x = 88.1/tan(58.828)

Using the built-in calculator in the right sidebar, we can plug in the values and make sure the setting is on Deg for degrees. This gives us:

x = 88.1/1.6767

Finally, we can round our answer to the nearest tenth of a foot to get:

x = 52.6 feet

So, the distance from where you launched the ball to the goal is 52.6 feet.

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Select the correct answer

Answers

Answer:

6

Step-by-step explanation:

simplified and I got 6 because square root of 80 is that

√8=√2x2x2

   Im Not Sure If You Needed This Or Not

1. Epidemiology is the study of the distribution and determinants of health-related states or events in specified populations, and the application of this study to the control of health problems". (JM. A Dictionary of Epidemiology, 2001). According to the definition, Epidemiology would include which of the following activities? Explain how does the event(s) fit with the definition (3 points) a) Describing the demographic characteristics of persons with acute aflatoxin poisoning in Chittagong b) Prescribing an antibiotic to treat a patient with community-acquired methicillin-resistant Staphylococcus aureus infection c) Comparing the family history, amount of exercise, and eating habits of those with and without newly diagnosed diabetes d) Recommending that 'Kashundi restaurant' in IUB be closed after implicating it as the source of a hepatitis A outbreak e) Option (a) and (c) f) Option (a), (c), and (d)

Answers

Epidemiology would include option (a), (c), and (d).


Epidemiology is the study of the distribution and determinants of health-related states or events in specified populations, and the application of this study to the control of health problems (JM. A Dictionary of Epidemiology, 2001). According to this definition, Epidemiology would include the following activities:


Option (a): Describing the demographic characteristics of persons with acute aflatoxin poisoning in Chittagong: This activity fits with the definition of Epidemiology because it involves studying the characteristics of a specified population, in this case the demographic characteristics of persons with acute aflatoxin poisoning in Chittagong, in order to better understand the determinants and distribution of the health-related state (acute aflatoxin poisoning).



Option (c): Comparing the family history, amount of exercise, and eating habits of those with and without newly diagnosed diabetes: This activity fits with the definition of Epidemiology because it involves studying the determinants of a health-related state, in this case newly diagnosed diabetes, in order to better understand the distribution and control of this health problem.



Option (d): Recommending that 'Kashundi restaurant' in IUB be closed after implicating it as the source of a hepatitis A outbreak: This activity fits with the definition of Epidemiology because it involves applying the study of the distribution and determinants of health-related states to the control of health problems, in this case the control of a hepatitis A outbreak.



In summary, Epidemiology would include option (a), (c), and (d).

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The Book Barn is having a sale. All hardback
books are 20% off, and all paperbacks are
10% off. Suppose you buy four paperbacks
that originally cost $9 each and two
hardbacks that originally cost $20. What
percent of the total have you saved? Round to
the nearest percent.

Answers

We have saved approximately 15% of the total cost.

What is the process to calculate the percentage saved in a sale?

When items are on sale, they are usually offered at a discounted price. The percentage saved is a measure of the amount that a buyer has saved on the original price of the item. The process to calculate the percentage saved in a sale involves determining the original price, the discounted price, and then using a formula to find the percentage saved.

The formula for the percentage saved is:

Percentage saved = (Amount saved / Original price) x 100%

Calculation of  the total amount saved and the percentage saved :

For the paperbacks, the original price is $9 each and we bought four of them, so the total original price is:

$9/book × 4 books = $36

With a 10% discount, the discounted price of each paperback is:

$9/book × 0.10 = $0.90 discount

$9/book - $0.90 discount = $8.10 discounted price

So, the total discounted price for the four paperbacks is:

$8.10/book × 4 books = $32.40

Therefore, we saved:

$36 - $32.40 = $3.60

For the hardbacks, the original price is $20 each and we bought two of them, so the total original price is:

$20/book × 2 books = $40

With a 20% discount, the discounted price of each hardback is:

$20/book × 0.20 = $4 discount

$20/book - $4 discount = $16 discounted price

So, the total discounted price for the two hardbacks is:

$16/book × 2 books = $32

Therefore, we saved:

$40 - $32 = $8

The total original price of all the books is:

$36 + $40 = $76

The total discounted price of all the books is:

$32.40 + $32 = $64.40

Therefore, we saved:

$76 - $64.40 = $11.60

Plugging in the values , we get:

percentage saved = ($11.60 / $76) × 100%

percentage saved ≈ 15%

Therefore, we have saved approximately 15% of the total cost.

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Please help!!!!!! Math is hard and I don't know how to find scale factor using fractions.

Answers

Okay, so 1/3 is the same as 2/6. So we can compare the triangles as 2/6 to 20/6, with yellow as 2/6 and green as 20/6. So I think the scale factor is ten, because 2/6 x 10/1 will equal 20/6, and 20/6 divided by 10/1 will equal 2/6. Feel free to correct me if I’m wrong though. I’m

I am a polynomial in x. I have three unlike terms. I am a 2^(nd ) degree polynomial. Only one of my terms is negative. What am I?

Answers

You are a quadratic polynomial, specifically an equation of the form ax² + bx + c = 0, where a is not equal to 0, and one of the terms, c, is negative. The polynomial can be written as ax² - dx + c = 0, where d is the coefficient of the positive term.


A polynomial is an expression that consists of a combination of constants, variables, and exponents. A polynomial with three unlike terms is called a trinomial. A 2nd degree polynomial is also known as a quadratic polynomial.

Based on the given information, the polynomial can be written in the form: ax² + bx + c, where a, b, and c are constants, and x is the variable. Since only one of the terms is negative, either a, b, or c must be negative.

There are several possible answers to this question, as there are multiple combinations of constants that can fit the given criteria. Here are three possible answers:

1. 2x² + 3x - 4
2. -x² + 5x + 6
3. 4x² - 2x + 1

All of these polynomials have three unlike terms, are 2nd degree polynomial, and have only one negative term.

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Find the tangent of ZS.
T
68
60
Simplify your answer and write it
S
U

Answers

The tangent of <S is 8/15

What is Trigonometry?

Trigonometry is a discipline of mathematics dealing with specific angle functions and their application to calculations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and acronyms (csc).

Given:

ST = 68

UT = 60

so, SU = √ST² - UT²

           = √68² - 60²

           = √4624  - 3600

           = √1024

           = 32

So, Tangent of <S = P/ B

tan S = SU / UT

tan S = 32 / 60

tan S = 8/15

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Determine whether the complex number is a solution of the equation. 5-i;x^(2)-10x+26=0

Answers

That the complex number 5-i is indeed a solution of the equation [tex]x^2-10x+26=0[/tex].

To determine whether the complex number 5-i is a solution of the equation [tex]x^2-10x+26=0[/tex], we can substitute the value of x with the complex number and see if the equation holds true.

Substituting [tex]x = 5-i[/tex] into the equation:

[tex](5-i)^2 - 10(5-i) + 26 = 0[/tex]

Expanding the squared term:

[tex]25 - 10i + i^2 - 50 + 10i + 26 = 0[/tex]

Simplifying the equation:

[tex]25 - 50 + 26 + i^2 = 0[/tex]

Since[tex]i^2 = -1[/tex], we can substitute that value into the equation:

[tex]25 - 50 + 26 - 1 = 0[/tex]

Simplifying further:

[tex]0 = 0[/tex]

Since the equation holds true, we can conclude that the complex number 5-i is indeed a solution of the equation [tex]x^2-10x+26=0[/tex].

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Can 1 of you guys explain this to me really good please.

Answers

Answer:

333 ft^2

Step-by-step explanation:

To find the area of the new dance floor, use the trapezoid area formula.

Area of a Trapezoid: [tex]\frac{(base 1+base 2)h}{2}[/tex]

[(18 1/2 + 18 1/2) · 18]/2 - Plug in values

(37x18)/2 - Simplify

333 ft^2 - Solve

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