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lianna [129]
4 years ago
12

Let f(x) = 9x3+ 21x2^ - 14 and g(x) = 3x + 1. Find "f (x) over g (x)​

Mathematics
1 answer:
kondor19780726 [428]4 years ago
7 0

Answer:

\frac{f(x)}{g(x)}=3x^2+6x-2-\frac{12}{3x+1}

Step-by-step explanation:

The first function is f(x)=9x^3+21x^2-14

The second function is g(x)=3x+1.

\frac{f(x)}{g(x)}=\frac{9x^3+21x^2-14}{3x+1}

We perform the long division as shown in the attachment to obtain the quotient as: Q(x)=3x^2+6x-2 and remainder R=-12.

Therefore:

\frac{f(x)}{g(x)}=3x^2+6x-2-\frac{12}{3x+1}

where x\ne -\frac{1}{3}

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Write an equation in slope-intercept form of the line that passes through (6.-1) and (3.-7).
Morgarella [4.7K]

Answer:

y=2x-13

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-(-1))/(3-6)

m=(-7+1)/-3

m=-6/-3

m=2

y-y1=m(x-x1)

y-(-1)=2(x-6)

y+1=2(x-6)

y=2x-12-1

y=2x-13

6 0
3 years ago
For the exponential equation <img src="https://tex.z-dn.net/?f=y%20%3D%203.4%280.66%29%5Ex" id="TexFormula1" title="y = 3.4(0.66
lisabon 2012 [21]

Answer:

Option: B is the correct answer.      

B)     Decay, y- intercept = 3.4, rate is 34%

Step-by-step explanation:

We are given an exponential equation as follows:

                    y=3.4(0.66)^x

We know that any exponential function of the type:

                                y=ab^x

is growth function if: b>1

and is a decay function if 0< b< 1

Hence, here we have: b=0.66<1

Hence, the function is a decay function.

Also, we know that the y-intercept of a function is the point where x=0

Hence, we take x=0

we have:  y=3.4\times (0.66)^0\\\\\\y=3.4

Hence, the y-intercept is:   3.4

Also, the rate of a function is denoted by 'r'

where b=1-r

    ⇒ 0.66=1-r

   ⇒   r=1-0.66

    ⇒ r=0.34

Hence, the rate is: 34%

          option: B is the correct answer.

4 0
3 years ago
13 1/2 - 7 3/8<br><br> what is the answer?
hoa [83]
I’m pretty sure the answer is 6.125
6 0
3 years ago
Write the number in standard form 1.872x102
UkoKoshka [18]
1.872 would be 187.2 when times by 100.
we will round it to 1.9
3.8 is 2 times,
and to be honest,
1.872 * 2 is 3.744
190.944 would be your answer if you find something similar to this.
8 0
3 years ago
Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were teste
iogann1982 [59]

Answer:

Explained below.

Step-by-step explanation:

The data provided is for the dying time of four different types of paint.

One-way ANOVA can be used to determine whether all the four paints have the same drying time.

Use Excel to perform the one-way ANOVA.

Go to Data → Data Analysis → Anova: Single Factor

A dialog box will open.

Select the data.

Select "Grouping" as Columns.

Press OK.

The output is attached below.

The required values are as follows:

(1)

Sum of Squares of Treatment (Between Subjects):

SST = 330

(2)

Sum of Squares of Error (Within Subjects):

SSE = 692

(3)

Mean Squares Treatment (Between Subjects):

MST = 110

(4)

Mean Squares Error (Within Subjects):

MSE = 43.25

6 0
4 years ago
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