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3 years ago

If (x-7) is a factor of 2x^2-11x+k, what is the value of k

Mathematics

1 answer:

kondaur [170]3 years ago

4 0

If x-7 =0

Then x =7

Substitute x=7 into f(x):

2(7)^2 - 11(7) + k

= (98-77)+k

= 21+k

Therefore k=-21 because 21+(-21)=0

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Convert 1/15 into a decimal correct to 2 decimal places

Citrus2011 [14]

Answer:

$\frac{1}{15} = 0.\overline{66}$

Step-by-step explanation:

We proceed to show the procedure to calculate the given fraction into a decimal form:

1) Since numerator is less than denominator, the integer component of the decimal number is zero:

$\frac{1}{15} = 0.xx$

2) We multiply the numerator by 10 and find the tenth digit:

$\frac{10}{15} = 0$

Then,

$\frac{1}{15} = 0.0xx$

3) We multiply the fraction in 2) by 10 and find the hundredth digit:

$\frac{100}{15} = 6$

Then,

$\frac{1}{15} = 0.66x$

And the remainder is:

$r = 100-15\times 6$

$r = 10$

4) We multiply the remainder by 10 and divide this result by the denominator to determine the thousandth digit:

$\frac{100}{15} = 6$

Then,

$\frac{1}{15} = 0.666$

This question asks us to write a decimal correct to 2 decimal places, which has the characteristic that is infinite periodical decimal. Then, the result correct to 2 decimal places is:

$\frac{1}{15} = 0.\overline{66}$

3 0

2 years ago

Hannah has a aquarium with 25 Liter of water in it.How many milliliters of water are in the aquarium

Vikentia [17]

Answer:

25000

Step-by-step explanation:

25 * 1000 = 25000

8 0

2 years ago

Read 2 more answers

PLEASE HELP MEE!! IVE BEEN DOING THIS ASSIGNMENT FOR OVER 2 HOURS NOW, PLS HELP.. :(

Lesechka [4]

Answer:

x = -3, y = 5

Step-by-step explanation:

first, take the 3x + 17 = y and put it in place for the y in the second equation.

-3x=4x+17+4

then, solve the equation.

-3x=4x+21

-3x-4x=4x-4x+21

-7x=21

-7/-7x=21/-7

x = -3

substitute in other equation

4(-3) + 17 = y

-12 + 17 = y

y = 5

answers are x = -3 and y = 5

5 0

2 years ago

Read 2 more answers

If a = 9-4√5 find the value of a - 1/a

e-lub [12.9K]

The solution is attached
the answer is -8√5

7 0

3 years ago

Maths<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B1%20%2B%20x%7D%20%2B%20%20%5Csqrt%5B3%5D%7B1%20-%20x%7D%20%3D%20%

Vilka [71]

Answer:

X=0,1

Step-by-step explanation:

Remove the radical by raising each side to the index of the radical

5 0

2 years ago