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3 years ago

What is the equation in vertex form of the quadratic function that has a vertex at (6,-7)

Mathematics

1 answer:

Alona [7]3 years ago

7 0

Good evening

Answer:

f(x) = (x - 6)² − 7.

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a box contains 30 pencils. 37 student are each given 3 pencils. how many boxes of pencilsare required?

Mazyrski [523]

Answer:

Step-by-step explanation:

37 times 3 is 111 and since there are 30 pencils in each box they would need 4 boxes which gives them 120 pencils.

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3 years ago

Read 2 more answers

Simplify expression X^2+x-2/x^3-x^2+2x-2

professor190 [17]

Answer:

$=\frac {x+2}{x^2+2}$ is the simplest form of given expression.

Step-by-step explanation:

The given question is $\frac{x^2+x-2}{x^3-x^2+2x-2}$

To solve the problem we have to group or split middle term and then factorise

$\frac{x^2+(2x-x)-2}{(x^3-x^2)+(2x-2)}$

Taking $x^2$ common from first two terms of denominator and 2 from next two terms

$= \frac{x^2+2x-x-2}{x^2(x-1)+2(x-1)}$

Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms

$= \frac{ x(x+2)-1(x+2)}{(x-1)(x^2+2)}$

$=\frac{(x+2)(x-1)}{(x-1)(x^2+2)}$

Now cancel out x-1 from both numerator and denominator we get

$=\frac {x+2}{x^2+2}$ is the required simplest form.

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3 years ago

Julian wrote this number pattern on the board:

geniusboy [140]

Answer:

Step-by-step explanation:

10, 24 and 38 are composite numbers.

(10 can be divided by 5 and 2; 24 can be divided by 8, 3, 12 and 2; 38 can be divided by 19 and 2).

The others are prime numbers.

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3 years ago

42x + 12 * 18 = 468<br><br> What does x equal

3241004551 [841]

X equals 6

How? Well first I multiplied 12 x 18 which is 216.

Then I subtracted 468 - 216 that equals 252.

Because I know that 2 x 6 equals a 12.....x had to be a 6.

So I multiplied 42 x 6 and it equaled 252.

So x is 6

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3 years ago

428 × (-23 ) + (-428 )× (-223)=<br> can you answer it with steps it would be a great help for me

hoa [83]

Answer:

-935160312

Step-by-step explanation:

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3 years ago