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3 years ago

How do I write m is the set of integers that are greater than negative one and less than four

1 answer:

7 0

$\bf \stackrel{\textit{\large Set Builder notation}}{\{m|m\in \mathbb{Z}, m > -1, m < 4\}}~\hfill \stackrel{\textit{\large or this way}}{-1$

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Given the polynomial 6x3 + 4x2 − 6x − 4, what is the value of the constant 'k' in the factored form? 6x3 + 4x2 − 6x − 4 = 2(x +

CaHeK987 [17]

First you graph it using a graphing calculator, you look at the table of values to find out one point in which y= 0. The first one that comes up is when x=1.
If you don't have a graphing calculator you can use trial and error by inputing some numbers into x until you get y= 0.

Once you have an x value which makes y=0, you can start factorizing it.
you divide 6x3 +4x2 -6x - 4 into (x-1) which is when y =0
to get 6x2+10x+4

This can be used to write the polynomial as (x-1)(6x2 +10x+4)
you then factorize the second bracket, 6x2 +10x+4.
you can take the 2 outside to give you 2(3x2 +5x+2)
you can factorize this to become 2(3x+2)(x+1)

Now you just substitute your factorized second bracket into your unfactorized second bracket to give you 2(3x+2)(x+1)(x-1).

From this you can deduce that k= 1

7 0

3 years ago

Read 2 more answers

If one gallon of paint covers 350 square feet how many gallons will you need to cover a wall that is 138 inches by 102 inches

frosja888 [35]

138in x 102in = 14076in sq.
14076/350=40.217
41 gallons of paint.

6 0

3 years ago

X − 3 − 2(6 − 2x) = 2(2x − 5)

Finger [1]

Multiply the first bracket by -2

Multiply the second bracket by 2

x-3-12+4x= 4x-10

- negative number times + positive number= - negative number

- negative number times -negative number = + positive number

x+ 4x-3-12= 4x-10

5x-15= 4x-10

Move 4x to the other side

5x-4x-15= 4x-4x-10

x-15= -10

Move -15 to the other side

x-15+15= -10+15

x= 5

Answer : x= 5

7 0

3 years ago

Read 2 more answers

1/2(8-x)=10<br> A.12<br> B.3<br> C.-12

Murljashka [212]

4-1/2x=10
-1/2x=6
3
so your answer would be B
hope that helps

7 0

3 years ago

A sales person is given a choice of two salary plans. Plan 1 is a weekly salary of 700 plus 4% commission of sales. Plan 2 is a

bezimeni [28]

Let 's' represent the amount of sales.

Plan 1:

$\text{ \$700 + (4\% of s)}$ $\begin{gathered} \text{ \$700+(}\frac{\text{4}}{100}\times s) \\ \text{ \$700+(0.04}\times s)=\text{ \$700}+0.04s \end{gathered}$

Plan 2:

$12\text{ \% of s}$ $\begin{gathered} \frac{12}{100}\times s \\ 0.12\times s=0.12s \end{gathered}$

Equating the two plans together and solving for the amount of sales,

$\begin{gathered} \text{Plan 2=Plan 1} \\ 0.12s=\text{ \$700+0.04s} \\ \end{gathered}$

Collecting like terms,

$\begin{gathered} 0.12s-0.04s=\text{ \$700} \\ 0.08s=\text{\$700} \end{gathered}$

Divide both sides by 0.08,

$\begin{gathered} \frac{0.08s}{0.08}=\frac{\text{ \$700}}{0.08} \\ s=\text{ \$8750} \end{gathered}$

Hence, the amount of sales is $8,750.

6 0

1 year ago