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Tpy6a [65]
3 years ago
12

What are the factors of x2 – 4x – 5? Check all that apply.

Mathematics
2 answers:
harkovskaia [24]3 years ago
7 0
When you factor (x^2-4x-5), you get (x+1)(x-5).
Nady [450]3 years ago
3 0

Answer:

(x-5)(x+1)

Step-by-step explanation:

we have

x^{2} -4x-5

To find the factors ------> solve the quadratic equation

equate the function to zero

x^{2} -4x-5=0

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2} -4x-5=0

so

a=1\\b=-4\\c=-5

substitute

x=\frac{-(-4)(+/-)\sqrt{-4^{2}-4(1)(-5)}} {2(1)}

x=\frac{4(+/-)\sqrt{36}} {2}

x=\frac{4(+/-)6} {2}

x=\frac{4(+)6} {2}=5

x=\frac{4(-)6} {2}=-1

therefore

the factors are

(x-5)(x+1)

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2k^2-5k-18=0 what is both of the values of k? plz help!!! 15 pts!!!
ddd [48]
To factor quadratic equations of the form ax^2+bx+c=y, you must find two values, j and k, which satisfy two conditions.

jk=ac and j+k=b

The you replace the single linear term bx with jx and kx. Finally then you factor the first pair of terms and the second pair of terms. In this problem...

2k^2-5k-18=0

2k^2+4k-9k-18=0

2k(k+2)-9(k+2)=0

(2k-9)(k+2)=0

so k=-2 and 9/2

k=(-2, 4.5)
5 0
3 years ago
Which of the tables represents a function? Help please i’ll mark brainliest
Helga [31]

Answer:

Table B

Step-by-step explanation:

If you see any number in the input being used more than once, it is not a function. If all numbers of the input are different, it is a function.

Only Table B is a function since all input numbers are different.

5 0
3 years ago
The drug Viagra comes in a quantity of 30 tablets with an AWP of $900. The pharmacy has an agreement with the supplier to purcha
MrRissso [65]

The profit of  5103.5 by making a prescription for 6 tablets.

<h3>What is percentage?</h3>

Percentage, a relative value indicating hundredth parts of any quantity.

The drug Viagra comes in a quantity of 30 tablets with an AWP of $900.

The insurer is willing to pay the AWP less 5% plus a $2.50

900/TAB = X 30 TABS  =$27000

27000 * (0.05)= $1350

27000-1350.00

=$25650 + $2.50

=25652.5 for 30 tablets

For 6 tablets,

= (25652.5 / 30)*6

= 5103.5

Learn more about percentage here:

brainly.com/question/14695543

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2 years ago
What is the midpoint of the segment shown below??
Leno4ka [110]

Answer:

c

Step-by-step explanation:

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3 years ago
What are the potential solutions of In(x^2-25)=0?
Maslowich

Answer:

x =\pm \sqrt{26}

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

  • ln ( x² - 25 ) = 0

And we need to find the potential solutions of it. The given equation is the logarithm of x² - 25 to the base e . e is Euler's Number here. So it can be written as ,

<u>Equation</u><u> </u><u>:</u><u>-</u><u> </u>

\implies log_e {(x^2-25)}= 0

<u>In </u><u>general</u><u> </u><u>:</u><u>-</u><u> </u>

  • If we have a logarithmic equation as ,

\implies log_a b = c

Then this can be written as ,

\implies a^c = b

In a similar way we can write the given equation as ,

\implies e^0 = x^2 - 25

  • Now also we know that a^0 = 1 Therefore , the equation becomes ,

\implies 1 = x^2 - 25 \\\\\implies x^2 = 25 + 1 \\\\\implies x^2 = 26 \\\\\implies x =\sqrt{26} \\\\\implies x = \pm \sqrt{ 26}

<u>Hence</u><u> the</u><u> </u><u>Solution</u><u> </u><u>of </u><u>the</u><u> given</u><u> equation</u><u> is</u><u> </u><u>±</u><u>√</u><u>2</u><u>6</u><u>.</u>

6 0
3 years ago
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