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lina2011 [118]
3 years ago
5

K^2+8k-9=0 can you help me solve with showing work

Mathematics
2 answers:
givi [52]3 years ago
7 0
Using the PSN method:

P = -9
S = 8
So N = 9,-1

Using 9 and -1 in the original equation gives:

k^2+9k-k-9=0
\\k(k+9)-1(k+9)=0
\\(k-1)(k+9)

\\\\k=1,-9
erastova [34]3 years ago
5 0
K² + 8k - 9 = 0
k = <u>-8 +/- √(8² - 4(10)(-9))</u>
                   2(1)
k = <u>-8 +/- √(64 + 360)</u>
                   2
k = <u>-8 +/- √(424)
</u>               2<u>
</u>k = <u>-8 +/- 20.59126028
</u>                     2<u>
</u>k = <u>-8 + 20.59126028</u>    k = <u>-8 - 20.59126028
</u>                    2<u />                                    2<u>
</u>k = <u>12.5912608</u>             k = <u>-20.5912608
</u>              2    <u /><u />                                 2<u>
</u>k = 6.2956304<u />                k = <u />-10.2956304<u>
</u>
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Evaluate the step function for the given input values. g(x) = g(2) = g(–2) = g(5) =
romanna [79]

Answer:

Step-by-step explanation:

g(2) = g(–2) = g(5) is never true for the step function.  One " = " symbol per pair of g values, please.

The step function, which you're calling "g(x)," is 0 from -infinity up to but not including 0.  It's 1 from x just greater than 0 through infinity.

Thus:

g(2) = 1 because x is greater than 0.

g(-2) = 0 because x is less than 0.

g(5) = 1 because x is greater than 0.

4 0
3 years ago
Which is the completely factored form of 4x3 10x2 – 6x? 2(x 3)(2x – 1) 2x(x 3)(2x – 1) 2x(x – 3)(2x – 1) 2(x – 3)(2x 1).
Natalija [7]

The equation 4x^3+10x^2 – 6x is factorized as 2x(x+3)(2x – 1).

Option B represents the correct factors of the equation.

<h3>What is a Factor of the number?</h3>

A factor of the number can be defined as a divisor of the number that divides it completely without leaving any remainder.

Given equation is 4x^3+10x^2 – 6x. This can be factorized as given below.

4x^3+10x^2-6x = 0

We take the common term 2x, then,

2x ( 2x^2 + 5x -3)=0

2x ( 2x^2 +6x -x -3)=0

2x (2x (x+3) -1(x+3))=0

2x (2x-1)(x+3)=0

Hence we can conclude that the factors of the given equation are 2x(x+3)(2x – 1). Option B shows the correct factors.

To know more about the factors, follow the link given below.

brainly.com/question/3423184.

6 0
3 years ago
The LCM of 12ab² and 3ab³
lions [1.4K]

Answer:3ab^2 or 12ab^3

i think this is it

Step-by-step explanation:

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3 years ago
What is 24% of 135??
KiRa [710]

Answer:

32.4

135 x 24% = 135 x 0.24 = 32.4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
five silver coins weigh 125gm and are worth $6. Ten bronze coins weigh 500gm and are worth 80 cents. A number of silver and bron
Kisachek [45]

Answer:

100 silver coins and 175 bronze


Step-by-step explanation:

let x be the number of silver coins and y the number of bronze coins.  

Worth of these coins together = 6x/(5)+0.08/(10)y

=1.2x+0.008y

Weight of one silver coin = 125/5 = 25 gm

and one bronze coin = 500/10 = 50 gms.

Weight of these coins together = 25x + 50y

Equate these two items i.e. value and weight to actuals given.

i.e. 1.2x+0.08y = 134 and    ... i

25x+50y = 11 kg 250 gm = 11250 gms. ... ii

Divide the second equation by 25

x+2y = 450   ...  iii

Multiply I equation by 25

30x+2y =3350   ... iv

iii-iv gives -29x = -2900 or

x =100

Substitute in x+2y = 450

2y = 350 or y =175

6 0
3 years ago
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