MATHEMATICS HIGH SCHOOL

A+5 a+5 a

please help me write it in simplest form
a+5 a+5 a please help me write it in simplest - 1

Answers

Answer 1
Answer:

Answer:

Therefore, the simplest form of the expression "A + 5a + 5a" is "A + 10a"

Step-by-step explanation:

To simplify the expression "A + 5a + 5a" in its simplest form, we can combine like terms. "A" and "5a" are like terms because they both have the variable "a" raised to the power of 1. So, combining "A" and "5a" gives us: A + 5a + 5a = A + 10a

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How can I do this exercice (n+1)!/(n+2)! ?

Answers

(n+1)! is equal to (n+1)*n*(n-1)*(n-2)...*3*2*1.  Basically, it multiplies together every positive integer that is at most n+1.  This is the definition of the !, or the factorial function.

(n+2)! is equal to (n+2)*(n+1)*n*(n-1)*(n-2)...*3*2*1, using the same definition.  This thus is equal to (n+1)!*(n+2), so we have:

(n+1)!/(n+1)!(n+2), or:

1/(n+2)

This is our final simplification.

True or False it's possible to build a triangle with side lengths of 5,5, and 10.

Answers

It's not possible, because the sum of the lenghts of every two sides of a triangle has to be greater than the length of the third one. It this case that condition isn't met: 5+5\not>10

The answer to this question is False

A pair of sneakers regularly costs $113.95 and they are on sale for 10% off. Which of the following is the best estimate for the cost of the sneakers after the discount?

Answers

Given:
Original price : $113.95
Sales discount rate: 10%

Value of Sales discount

$113.95 * 10% = $11.395 rounded to $11.40

Discounted Price:

$113.95 - 11.40 = $102.55 

Hey, how to calculate sample minimum?​

Answers

Answer: C

Step-by-step explanation: Since there are 5 teachers, you can only have 4/5 samples with the minimum age of 23, and one sample w/the next lowest minimum age of 34, because you can only have samples of 4 teachers at a time.

As viewed from a cliff 340 feet above sea level, a ship is 450 feet from the shore. What is the angle of depression from the cliff to the ship on the water below?

Answers

the angle of depression is equal to angle of elevation at ship
let m be the angle
tan m=340/450=0.76
therefore m=37.073 degrees

PLEASE HELP Polynomial Graph Studies Polynomials are great functions to use for modeling real-world scenarios where different intervals of increase and decrease happen. But polynomial equations and graphs can be trickier to work with than other function types. In mathematical modeling, we often create an equation to summarize data and make predictions for information not shown on the original display. In this activity, you’ll create an equation to fit this graph of a polynomial function. Part A Describe the type of function shown in the graph. Part B What are the standard form and the factored form of the function? Part C What are the zeros of the function? Part D Use the zeros to find all of the linear factors of the polynomial function. Part E Write the equation of the graphed function f(x), where a is the leading coefficient. Use the factors found in part D. Express the function as the product of its leading coefficient and the expanded form of the equation in standard form. Part F Use the y-intercept of the graph and your equation from part E to calculate the value of a. Part G Given what you found in all of the previous parts, write the equation for the function shown in the graph.

Answers

Answer:

Here's what I get  

Step-by-step explanation:

Part A

The graph shows a polynomial of odd degree. It is probably a third-degree polynomial — a cubic equation.

Part B

The standard form of a cubic equation is

y = ax³ + bx² + cx + d

The factored form of a cubic equation is

y = a(x - b₁)(x² + b₂x + b₃)

If you can factor the quadratic, the factored form becomes

y = a(x - c₁)(x - c₂)(x - c₃)

Part C

The zeros of the function are at x = -25, x = - 15, and x = 15.

Part D

The linear factors of the function are x + 25, x + 15, and x - 15.

Part E

y = a(x + 25)(x + 15)(x - 15) = a(x + 25)(x² - 225)  

y = a(x³ + 25x² - 225x - 5625)

Part F

When x = 0, y = 1.

1 = a[0³ +25(0)² - 225(0) - 5625] = a(0 + 0 - 0 -5625) = -5625a

a = -1/5625

Part G

y = -(1)/(5625)( x^(3) + 25x^(2) - 225x - 5625)\n\ny = \mathbf{ -(1)/(5625) x^(3) - (1)/(225)x^(2) + (1)/(25) x + 1}

Answer

Actually, the answer should be -0.0007(x+20)(x+5)(x-15)

Step-by-step explanation:

This is continuing off of the previous answer

PART C

The zeros should be (15,0), (-5,0), and (-20,0)

PART D

x - 15, x + 5, and x + 20

PART E

a(x - 15)(x + 5)(x + 20)

Standard: a(x^(3) + 10x^(2) -275x-1500)

PART F

The y-intercept is at (0,1), so we replace the x's with 0:

1 =[(0)x^(3) +10(0)x^(2) -275(0)-1500] and this gives us (0+0-0-1500) which also equals -1500

Then we do (1)/(-1500) which gives us -0.0006 repeating which rounds to -0.0007

a= -0.0007

PART G

Just place the numbers where they should go and your answer is

y =-0.0007(x + 20)(x + 5)(x - 15)  

the placement for (x + 20) (x + 5) and (x - 15) doesn't matter as long as they are behind -0.0007
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