All categories

2 years ago

Find the product of (x^2+2x-3)(4x^2-5x+6)

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

5 0

Answer:

$x^{4}$ + 3x³ - 16x² + 27x - 18

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

x²(4x² - 5x + 6) + 2x(4x² - 5x + 6) - 3(4x² - 5x + 6)

Distribute all 3 parenthesis

= 4 $x^{4}$ - 5x³ + 6x² + 8x³ - 10x² + 12x - 12x² + 15x - 18

Collecting like terms

= 4 $x^{4}$ + 3x³ - 16x² + 27x - 18

You might be interested in

Mario was making cookies. He mixed 2 1/2 cups of flour, 1 1/4 cups of sugar and be 1/2 cup of brown sugar together in a bowl. Ho

OleMash [197]

Add 2 + 1 = 3 then 1/2 +1/2 =1
so 3 +1 = 4 and you have 1/4 left so your answer is 4 1/4

4 0

3 years ago

What is the slope of the line that passes through the pair of points (-1, 4), (3,12)

Nadya [2.5K]

Answer:

$\displaystyle m = 2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Identify

Point (-1, 4)

Point (3, 12)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m = \frac{12-4}{3--1}$
[Fraction] Subtract: $\displaystyle m = \frac{8}{4}$
[Fraction] Divide: $\displaystyle m = 2$

3 0

2 years ago

T(r+4)=28 solve for t pls help

Reptile [31]

Answer: 28/r+4

Step-by-step explanation: Divide each term by r + 4 and simplify

3 0

2 years ago

To gather information on customer satisfaction, a researcher goes into each store and interviews six randomly selected customers

Slav-nsk [51]

Answer:

Convenience sampling.

Step-by-step explanation:

To gather information on customer satisfaction, a researcher goes into each store and interviews six randomly selected customers at each store. This sampling technique is called convenience sampling.

Convenience sampling can be defined as a sampling method which involves the researcher selecting or collecting data that is easily available or choosing the individuals who are easiest to reach in a population. It is a type of non-probability method of sampling where the first or easiest available data source is being used by the researcher without other requirements.

In this scenario, to gather information on customer satisfaction, the researcher went to the store most likely situated in a shopping mall to collect data from six (6) customers in each stores.

Some of the advantages of convenience sampling are low cost, data are collected quickly, lesser rules etc.

3 0

3 years ago

What are the names of three planes that contain point B? a planes ABD, EFG, and BDH b planes ABD, AEF, and DHF c planes CDH, ABF

Radda [10]

Answer

Sol: The correct answer is b. three planes that contain point B are ABD, AEF and DHF.

8 0

3 years ago