MATHEMATICS HIGH SCHOOL

Simplify the expressions. Show your work.
(x+6^2)

Answers

Answer 1
Answer: (x+6*6)
x+36

Or 
(x+6)^(2)
=x^(2) +12x+36

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Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).Use complete sentences to explain how the remainder theorem is used to determine whether your linear binomial is a factor of your polynomial function

Answers

lets create both equations and :

f(x) = 5x^2 + 1


linear binomial form: x - 4

according to the remainder theorem, x - 4 is a divisor of f(x) if and only if f(4) = 0
f(4) = 5*16 + 1 = 81

hence x - 4 is not a divisor of f(x)

Your family went out to dinner at Applebee's and left the waiter an 18% tip. If the total before the tip for the dinner was $47.98 what should be paid to the waitress as a tip

Answers

Answer:

The amount that should be paid to the waitress as a tip would be $8.64

Step-by-step explanation:

0.18 x $47.98=$8.64


Katie and jennifer are playing a game. katie and jennifer each started with 100 points. at the end of each turn katies points doubled. at the end of each turn jennifers points increased by 200. at the end of which turn will katie have more points than jennifer

Answers

It is the fourth round and this is because in round one Katie has 200 and Jenny will have 300.In round two katie will have 400 and Jennifer will have 500.In round 3 Katie will have 600 and and jennifer will have 800.I

#1. What term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line? #2. Which term describes a line segment that connects a vertex of a triangle to the midpoint of the opposite side?

Answers

#1
The ALTITUDE is a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line.

#2
The MEDIAN  a line segment that connects a vertex of a triangle to the midpoint of the opposite side

Answer:

# 1

        Altitude of a triangle.

# 2

        Median of a triangle.

Step-by-step explanation:

Altitude--

An altitude is a line that passes through a vertex and it intersects the opposite side of that vertex at 90 degree i.e. the line is perpendicular to the opposite side.

The point where the three altitudes of a triangle meet is called the Orthocenter of the triangle.

Median of a triangle--

The median of the triangle is the line which passes through a vertex and meets the midpoint of the opposite side of the triangle.

The point where the three medians of a triangle meet is called the Centroid of the triangle.

Can anyone help me i appreciate!!!!

Answers

Answer:

simplify :

(2+3)² - 16/2 =

5² - 8=

25-8 = 17

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2^2 + 2*2*3 + 3^2) - 16 / 2

25 - 16 / 2

boDmas

so

first divide 16 by 2 which gives 8

now subtract 8 from 25

answer = 17

Molly is on a game show. To win $1,000,000, she must answer this question: What key features are necessary—and how are the features used—to create the sketch of a polynomial function? What is Molly's winning answer? Explain in complete sentences.

Answers

- Find the y-intercept
- Find the roots (i.e. x - intercepts)
- Determine where the function increases and where it increases, along with the maximum and minimum values.
- Determine where the function changes concavity along with the inflection points.
- Determine the special points, where the value of the function is not defined and try to find the limit when the value of x approachs to this values
- Determine the limits of the function when x approachs to positive infinity and negative infinity

- For some of those steps you need to know some concepts of calculus: limits and derivatives along with the rules that let you know if a point is a maximum, a minimum or an inflection point.

With that information you can sketch a polynomial function.
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