Which of the binomial below is a factor of this trinomial 4x^3-20x^2+24xa) x+3
b)x-3
c)2x-3
d)2x+3

Answers

Answer 1

Answer: $4x^3-20x^2+24x$

$4x (x^2-5x+6)$

$4x(x-2)(x-3)$

$(b)x-3$

Answer 2

Answer: b) x - 3

see attached for proof

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What is the smallest? 70%, 3/4, 0.6, 2/3
What is 155 divided by 5 equals ?
Simplify the expression.(6+8)÷2a.10b.28c.7d.11
I need to know the steps to do two step equations

Please help me with this question

Answers

Answer:

180(.6) because 40% off is 0.4 and what is left over is 60% or 0.6. When you multiply this you get 108. 5% sales tax is a 5% increase, so multiple 108(1.05) and you get $113.40.

861 ÷3 show work for this problem please

Answers

861 divided by 3:

How many times does 3 go into 8? 2 x 3 = 6
Subtract 6 from 8 to get a remainder of 2, and bring down 6 to get 26.

How many times does 3 go into 26? 8 x 3 = 24
Subtract 24 from 26 to get a remainder of 2, and bring down 1 to get 21.

How many times does 3 go into 21? EXACTLY 7 times. 7 x 3 = 21

Collect all numbers in bold to get…. 287!

Therefore, 861 divided by 3 = 287.

Evaluate the exact value: tan(pi/6)

Answers

pi/6 = 180°/6 = 30°

This produces a triangle that has 30-60-90 angles.

Its short leg will measure = y = sinΘ
Its long leg will measure = x = √1-y² = sin(2Θ)
Its hypotenuse will measure = 1

Tangent Θ = opposite / adjacent or short leg / long leg
Tan(pi/6) = 1/3 √3

The exact value of tan (π/6) is 1/√3.

Given a trigonometric function,

tan (π/6)

We have to find the exact value of the given function.

We know that, the value of π/6 in degrees is 30 degrees.

So here, we have to find the value of tangent function of 30 degrees.

We know that,

Tan (x) = sin (x) / cos (x)

Here x = π/6

Tan (π/6) = sin (π/6) / cos (π/6)

= (1/2) / (√3 / 2)

= 1/√3

Hence the tan (π/6) is 1/√3.

Learn more about Tangent Functions here :

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Admission to a baseball game is $4.50 for general admission and $6.00 for reserved seats. The receipts were $4210.50 for 845 paid admissions. how many of each ticket were sold?

Answers

Let's solve this problem using a system of equations. Let's assume the number of general admission tickets sold is represented by 'x' and the number of reserved seats sold is represented by 'y'.

We know that the total number of paid admissions is 845, so we can write the equation:

x + y = 845 (Equation 1)

We also know that the total receipts from ticket sales is $4210.50. Since the price for general admission is $4.50 and the price for reserved seats is $6.00, we can write the equation:

4.50x + 6.00y = 4210.50 (Equation 2)

Now, we can solve this system of equations to find the values of 'x' and 'y'.

From Equation 1, we can rewrite it as:

x = 845 - y

Substituting this value of 'x' into Equation 2, we get:

4.50(845 - y) + 6.00y = 4210.50

Expanding and simplifying:

3802.50 - 4.50y + 6.00y = 4210.50

Combine like terms:

1.50y = 408.00

Divide both sides by 1.50:

y = 272

Substituting this value of 'y' back into Equation 1, we can solve for 'x':

x + 272 = 845

x = 573

Therefore, 573 general admission tickets and 272 reserved seats were sold.

What is 9/12 in decimal