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Rasek [7]
3 years ago
15

Factor each trinomial. Then match the polynomial (term) on the left with its factored form (definition) on the right. (4 points)

Group of answer choices x2 − 4x − 12 [ Choose ] x2 + 4x − 12 [ Choose ] x2 − x − 12 [ Choose ] x2 − 7x − 12 [ Choose ] i will give 40 points
Mathematics
1 answer:
Aloiza [94]3 years ago
8 0

Answer:

Your input: factor x2+4x+3.

To factor the quadratic function x2+4x+3, we should solve the corresponding quadratic equation x2+4x+3=0.

Indeed, if x1 and x2 are the roots of the quadratic equation ax2+bx+c=0, then ax2+bx+c=a(x−x1)(x−x2).

Solve the quadratic equation x2+4x+3=0.

The roots are x1=−1, x2=−3 (use the quadratic equation calculator to see the steps).

Therefore, x2+4x+3=1(x+1)(x+3).

(x2+4x+3)=1(x+1)(x+3)

Step-by-step explanation:

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Solve forx: x^2 = 5x
Akimi4 [234]

Answer:

x = 5

x = 0

Pulling out like terms :

2.1     Pull out like factors :

  x2 - 5x  =   x • (x - 5)

Equation at the end of step  2  :

 x • (x - 5)  = 0

Step  3  :

Theory - Roots of a product :

3.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation

4 0
3 years ago
Describe how to find the sale price of an item that has been discounted 25%.
Nadya [2.5K]
You subtract the % that the sale is and take it away from 100%. You get 75% then take the original price and divide it by .75
4 0
3 years ago
Read 2 more answers
What is the y-intercept of the equation of the line that is perpendicular to the line y =
igor_vitrenko [27]

Answer:

y=-5/3x+20

Step-by-step explanation:

Let the equation of the required line be represented as \[y=mx+c\]

This line is perpendicular to the line \[y=\frac{3}{5}x+10\]

\[=>m*\frac{3}{5}=-1\]

\[=>m=\frac{-5}{3}\]

So the equation of the required line becomes \[y=\frac{-5}{3}x+c\]

This line passes through the point (15.-5)

\[-5=\frac{-5}{3}*15+c\]

\[=>c=20\]

So the equation of the required line is \[y=\frac{-5}{3}x+20\]

Among the given options, option 4 is the correct one.

3 0
3 years ago
Can somebody help me in this question? It would be very appreciated! :)
Fiesta28 [93]

Answer:

see explanation

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = width × length

let width be w then length is 2w + 3 ( 3 more than twice the width ), then

A = w(2w + 3) ← distribute

   = 2w² + 3w

When w = 4 , then

A = 2(4)² + 3(4)

   = 2(16) + 12

    = 32 + 12

     = 44 ft²

6 0
3 years ago
A box measures 6 inches by 2 inches by 3 inches. Find the volume of the box in cubic feet. Enter your answer as a fraction.
jeyben [28]
The measurements are in inches but the answer needs to be in feet, so we'll convert the numbers to feet first.

6"=1/2 ft
2"=1/6 ft
3"=1/4 ft

V=l×w×h
V=1/2*1/6*1/4
V=1/48 cubic ft

8 0
3 years ago
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