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alexira [117]
3 years ago
8

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 +

k)(x − k)(3x + 2) k= ____________ Numerical Answers Expected! Answer for Blank 1:
Mathematics
2 answers:
CaHeK987 [17]3 years ago
7 0
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 
Svetllana [295]3 years ago
5 0

Answer:k=1 i really hope this helps tehe

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Nine times the sum of a number and 26 is at most -25
kobusy [5.1K]

Answer:

x ≤  -259/9

Step-by-step explanation:

Change into a number equation   9(x + 26) ≤ -25

3 0
3 years ago
Given f(x) = 2 sin x, find the exact value of f (7pi/6) in simplest form with a rational denominator.​
IrinaVladis [17]

Answer:

           \bold{f(\frac{7\pi}6)=-1}

Step-by-step explanation:

f(\frac{7\pi}6)=2\sin(\frac{7\pi}6)=2\sin(\frac{7\pi}6)=2\sin(\pi+\frac{\pi}6)=-2\sin(\frac{\pi}6)=-2\cdot\frac12=-1

6 0
2 years ago
A car valued at £18000 at the start of 2017, depreciated in value by 5% each year for 3 years. How much did it lose in value ove
Anna11 [10]

<u>Answer:</u>

The amount lost over the 3 years s 2567.25£  

<u>Explanation:</u>

$\mathrm{F}=\mathrm{I} \times\left(1-\left(\frac{r}{100}\right)\right)^{\mathrm{n}}$

where F = final value after n years

I = initial value of the car in 2017 = £18000 (given)

Since the value is depreciated 5% every year for 3 years,

r = percentage rate of depreciation = 5% (given)

n = 3 years

Substituting these values in formula, we get

$\mathrm{F}=18000 \times\left(1-\frac{5}{100}\right)^{3}$

= $18000 \times\left(\frac{95}{100}\right)^{3}$

 = 15432.75£ which is the value of the car after 3 years

Finally 18000-15432.75 = 2567.25£ is the amount lost over this period.  

6 0
3 years ago
A carton has a length of 2 2/3 feet, width of 1 1/3 feet, and a height of 1 1/2. What is the volume of the carton? A( 4 cubic fe
notsponge [240]

Answer:

The volume of the carton is 5 1/3 cubic feet

Step-by-step explanation:

A carton has a length of 2 2/3 feet, width of 1 1/3 feet, and a height of 1 1/2.

The dimensions can be rewritten as

Length of carton =2 2/3 = 8/3 converting to improper fraction).

width of 1 1/3 feet = 4/3 feet

and a height of 1 1/2= 3/2 ,feet

volume of the carton = length of the carton × width of the carton × height of the carton

Volume of carton = 8/3 ×4/3 × 3/2

= 96/18 cubic feet

Converting to mixed fractions, we have

96/18= 5 1/3 cubic feet

8 0
3 years ago
Solve for n.<br> 7+2n = 11
Musya8 [376]

Answer:

2

Step-by-step explanation:

7+2n = 11

2n = 11-7

2n = 4

n = 4/2

therefore n = 2

5 0
1 year ago
Read 2 more answers
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