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3 years ago

What is the product of (x+1) and (2x^2+3x-1)

Mathematics

2 answers:

ELEN [110]3 years ago

6 0

(x + 1)(2x^2 + 3x - 1) : Can be solved in multiple ways but easiest for me :P

x (2x^2 + 3x - 1) + 1(2x^2 + 3x - 1)

(2x^3 + 3x^2 - x) + (2x^2 + 3x - 1)

2x^3 + 5x^2 + 2x - 1

Sedbober [7]3 years ago

4 0

Answer:

Product is 2x³ + 5x² + 2x - 1.

Step-by-step explanation:

Given : (x+1) and (2x²+3x-1).

To find : what is the product .

Solution : We have given that

(x+1) and (2x²+3x-1).

Product : (x+1)(2x²+3x-1).

Now, distribute x+ 1 over 2x²+3x-1.

x ( 2x²+3x-1) + 1( 2x²+3x-1).

2x³ + 3x² - x + 2x²+3x-1.

Combine like terms

2x³ + 2x²+3x² - x +3x-1.

2x³ + 5x² + 2x - 1.

Therefore, Product is 2x³ + 5x² + 2x - 1.

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Half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories 1/4 of a pepperoni pizza plus a who

yulyashka [42]

Answer:

Correct choice is D (In a whole pepperoni pizza are 660 calories, in in a whole ham and pineapple pizza are 580 calories).

Step-by-step explanation:

Let x calories be the number of calories a whole pepperoni pizza contains and y calories be the number of calories a whole ham and pineapple pizza contains.

1. If half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories, then

$\dfrac{1}{2}x+\dfrac{3}{4}y=765.$

2. If 1/4 of a pepperoni pizza plus a whole ham and pineapple pizza contains 745 calories. then

$\dfrac{1}{4}x+y=745.$

3. Multiply each equation by 4 and get a system of two equations:

$\left\{\begin{array}{l}2x+3y=3060\\x+4y=2980\end{array}\right.$

From the second equation $x=2980-4y$ , then

$2(2980-4y)+3y=3060,\\ \\5960-8y+3y=3060,\\ \\-8y+3y=3060-5960,\\ \\-5y=-2900,\\ \\y=580.$

Then

$x=2980-4\cdot 580=2980-2320=660.$

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3 years ago

Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.

Alexxx [7]

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Step-by-step explanation:

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