Simplify the expression
49 $(1)/(2)$

Answers

Answer 1

Answer: To convert a mixed fraction into an improper fraction:

$a(b)/(c) =((a\cdot c)+b)/(c)$

$49 (1)/(2) = ((49\cdot 2)+1)/(2) = (98 +1)/(2) = \boxed{\bf{(99)/(2)}}$

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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.

Stephanie is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is odd} and let B = {the sum of the number cubes is divisible by 3}. List the outcomes in A ∩ B.{1,3,5,7,9,11}
{1,3,9}
{3,9}
{3,9,12}

Answers

The outcomes of rolling two cubes are shown in the table below (the outcomes is added up). The members of A are circled while the members of B are boxed. The members of A that also members of B is both circled and boxed.

P(A) = {3, 5, 7, 9, 11}
P(B) = {3, 6, 9, 12}
P(A∩B) = {3,9}

The intersection between the sets are the values that are common to both sets that is {3, 9}

What are sets?

Sets are arrangement of values of elements in a specified way.

Given the following sets

A = {1, 3,5, 7, 9, 11}

B = {3, 6, 9,12}

The intersection between the sets are the values that are common to both sets, hence;

A ∩ B = {3, 9}

Learn more on set here: brainly.com/question/5660357

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The function g(x) = –3x2 – 36x – 60 written in vertex form is g(x) = –3(x + 6)2 + 48. Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60? The graph of f(x) = x2 is made narrower. The graph of f(x) = x2 is shifted right 6 units. The graph of f(x) = x2 is shifted down 48 units. The graph of f(x) = x2 is reflected over the y-axis.

Answers

The general vertex form is this:
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.

Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
The graph is reflected over the x-axis
The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.

From the choices we only have:
The graph of f(x) = x2 is made narrower

A. The graph of f(x) = x2 is made narrower.

I took the test and that was the answer i got.

OrEvaluate. Write your answer as a whole number or as a simplified fraction.

42 · 42 =

Answers

Answer:

1764

Step-by-step explanation:

What is the density of the brown sugar if an 8cm3 block of brown sugar is 12.9 g

Answers

the answer is 1.6125 g/cm3

Which of the following sets of numbers could not represent the three sides of a triangle?

Answers

Answer:

Options A, D

Step-by-step explanation:

The way that we will be checking if these 3 numbers can represent a triangle is by checking if a + b ≥ c. That means that the first two sides have to be greater than or equal to the third side.

Step 1: Determine if Option A is a triangle

10 + 16 = 26 <- 26 is less than 27 that means that it cannot form a triangle.

Step 2: Determine if Option B is a triangle

14 + 28 = 42 <- 42 is greater than 39 which means that these three numbers can form a triangle.

Step 3: Determine if Option C is a triangle

12 + 27 = 39 <- 39 is equal to 39 which means that these three numbers can form a right triangle.

Step 4: Determine if Option D is a triangle

8 + 22 = 30 <- 30 is less than 31 meaning that these three numbers can't form a triangle.

Answer: Options A, D

Final answer:

To determine if a set of numbers can represent the sides of a triangle, we need to check if the sum of the lengths of any two sides is greater than the length of the third side. Two sets of numbers that could not represent the sides of a triangle are 1, 2, 3 and 4, 5, 9.

Explanation:

In order for three numbers to represent the sides of a triangle, the sum of the lengths of any two sides must be greater than the length of the third side, which is known as triangle inequality. Let's consider the options:

1, 2, 3: The sum of the lengths of the two smaller sides is 1+2=3, which is equal to the length of the longest side. This does not satisfy the triangle inequality, so this set of numbers could not represent the sides of a triangle.
4, 5, 9: The sum of the lengths of the two smaller sides is 4+5=9, which is equal to the length of the longest side. This does not satisfy the triangle inequality, so this set of numbers could not represent the sides of a triangle.
6, 8, 10: The sum of the lengths of the two smaller sides is 6+8=14, which is greater than the length of the longest side (10). This satisfies the triangle inequality, so this set of numbers could represent the sides of a triangle.

Therefore, the sets of numbers that could not represent the sides of a triangle are 1, 2, 3 and 4, 5, 9.