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3 years ago

Add the polynomials. (2x + 5y) + (3x - 2y)

Mathematics

2 answers:

Oxana [17]3 years ago

6 0

Answer:

5x+3y

Step-by-step explanation:

(2x + 5y) + (3x - 2y) simpified is 5x+3y

LiRa [457]3 years ago

3 0

(2x + 5y) + (3x - 2y)

2x+5y+3x−2y

(2x+3x)+(5y−2y)

5x+3y

1. Remove parentheses 2. Collect like terms 3. Simplify

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)

- Cutiepatutie ☺❀❤

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Y= -2x-9 in standard form

Andrew [12]

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

2x + y = -9.

3 0

4 years ago

You are in charge of buying food for your family reunion. You spent $90 on hamburgers and turkey burgers. you pay $1.50 for each

Sidana [21]

Answer:

The equation representing the given situation is 1.50 X + 2 Y = 90

Step-by-step explanation:

Let X be the number of hamburgers purchased.

The cost of 1 hamburger = $1.50

So, the amount spent on X burgers = X times (cost of each burger)

= X($1.50) = 1.50 X

Y be the number of turkey burgers purchased.

The cost of 1 turkey burger = $2

So, the amount spent on Y turkey burgers = Y times (cost of each burger)

= Y($2) = 2 Y

Total amount spent on both type both burgers= $ 90

⇒ Money spent on hamburger + Money spent on turkey burger = $90

or, 1.50 X + 2 Y = $90

Hence, the equation representing the given situation

is 1.50 X + 2 Y = 90

5 0

3 years ago

The figure is made up of a cylinder, a cone, and a half sphere. The radius of the half sphere is 3 inches. What is the volume of

Irina18 [472]

Answer:

The volume of the composite figure is 84π ≅ 263.89 inches³

Step-by-step explanation

- The composite figure consists of :

# Half sphere with radius 3 inches

# Cylinder with radius 3 inches and height 6 inches

# Cone with radius 3 inches and height 4 inches

- The volume of the sphere is 4/3 π r³

∴ The volume of the half sphere = 1/2 × 4/3 π r³ = 2/3 π r³

- The volume of the cylinder is π r² h

- The volume of the cone is 1/3 π r² h

* Now lets solve the problem

- The volume of the half sphere

∵ The radius of the half sphere = 3 inches

∵ The volume of it = 2/3 π r³

∴ The volume = 2/3 × π × (3)³ = 18π inches³

- The volume of the cylinder

∵ The radius of the cylinder = 3 inches

∵ The height of the cylinder = 6 inches

∵ The volume of it = π r² h

∴ Its volume = π × (3)² × 6 = 54π inches³

- The volume of the cone

∵ The radius of the cone = 3 inches

∵ The height of the cone = 4 inches

∵ The volume of it = 1/3 π r² h

∴ Its volume = 1/3 π × (3)² × 4 = 12π inches³

- Add all the volumes to find the volume of the composite figure

∴ The volume = 18π + 54π + 12π = 84π = 263.89 inches³

* The volume of the composite figure is 84π ≅ 263.89 inches³

6 0

3 years ago

Give an example of either Inductive or Deductive reasoning. Try to use a "real world" example of something you might have encoun

kipiarov [429]

Answer:

See answer below

Step-by-step explanation:

In inductive reasoning we arrive to a general conclusion based on particular observations.

For example:

"My friends Peter and Mary study at XYZ University. Peter and Mary are brilliant.

Yesterday I met Joe in a party. Joe also studies at XYZ University and he happens to be brilliant, too.

I conclude that all the students of XYZ University are brilliant"

Notice that this kind of reasoning might lead to a false conclusion.

In deductive reasoning, we arrive to a particular conclusion based on general observations. So, deductive reasoning is the opposite of inductive reasoning.

An example of deductive reasoning could be the following:

"To be accepted in the XYZ University you must pass a test with a score greater than 70%.

My friend Peter studies at XYZ University, so he passed the test with a score greater than 70%"

In deductive reasoning you may arrive to a false conclusion if your general assumption is false.

8 0

4 years ago

Prove the Difference of Two Cubes Identity

Aneli [31]

The answer to this question is 522

8 0

3 years ago