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3 years ago

Factor x2+4x+3.

Mathematics

1 answer:

Alexxx [7]3 years ago

8 0

Answer:

c. (x +3)(x + 1)

Step-by-step explanation:

Factoring an equation is a way of expressing an equation as the product of other linear expressions. The following expression,

$x^2 +4x +3$

Can be represented as the product of the following,

$(x+3)(x+1)$

To check this, one can distribute, one of the expressions over the other, then simplify, the result should be the starting expression,

$(x+3)(x+1)\\$

Distribute,

$(x)(x)+(1)(x)+(3)(x)+(3)(1)$

Simplify,

$x^2 +x +3x + 3\\$

$x^2 +4x +3$

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The amount of time a certain brand of light bulb lasts is normally distributed with a

scoundrel [369]

Answer:

92.65 % light bulbs last less than 2080 hours

Step-by-step explanation:

We are given that The amount of time a certain brand of light bulb lasts is normally distributed

Mean = $\mu = 2000$

Standard deviation = $\sigma = 55$

We are supposed to find What percentage light bulbs last less than 2080 hours, to the nearest tenth

$Z = \frac{x-\mu}{\sigma}\\\\Z=\frac{2080-2000}{55}$

Z=1.45

Refer the z table for p value

p value = 0.9265

Hence 92.65 % light bulbs last less than 2080 hours

5 0

3 years ago

What is the solution to the inequality? <br> 5(x−2)<−3x+6

goldfiish [28.3K]

Answer:

x<2

Step-by-step explanation:

multiply 5 by the numbers inside the parenthesis

5x-10<-3x+6

add 10 to both sides

5x-10+10<-3x+6+10

simplify

5x<-3x+16

add 3x to both sides

5x+3x<-3x+16+3x

simplify

8x<16

divide by 8

8x/8 < 16/8

x<2

5 0

3 years ago

Select the relations that are functions.

liraira [26]

Answer:

option A, C and D

Step-by-step explanation:

Each relation is a function if each input has only one output

{a, 1), (6, 1), (C, 1)

This relation is a function because each input has only one output

{a, a),(a, b),(a, c)}

This relation is not a function because input 'a' has only three output

{(1, a), (2, a),(3, a)}

This relation is a function because each input has only one output

{a, a), (b, b), (C, c)}

This relation is a function because each input has only one output

7 0

3 years ago

The table below summarizes the birth weights (to the nearest pound) of a sample of 24 newborn babies. Number of babies Birth wei

yanalaym [24]

No table below

Post one

8 0

3 years ago

The angle, γ, is the same between the z components of both the position vector and the tensile force. The first step in solving

Fittoniya [83]

Answer:

Can see it in the pic,

Step-by-step explanation:

Can see it in the pic, we can apply the Inner Product .

8 0

3 years ago