Write 3 5/6 as an improper fraction.

Mathematics

1 answer:

lisov135 [29]3 years ago

4 0

Answer:

23/6

Step-by-step explanation:

3 5/6 multiply 6 times 3 then add 5 which is 23 then take six and is the denominator and 23 is the numerator

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How many numbers between 1 and 1000 do not contain the digits 8, and 9 ?

sammy [17]

Answer:

998

Step-by-step explanation:

I haven't included the 1 or the 1000

6 0

3 years ago

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Given f(x) = x^2 + 14x + 40 . Enter the quadratic function in vertex form in the box. f(x)=

finlep [7]

Recall that the vertex form of a quadratic function (or parabolic function) is equal to

$f(x) = a(x - h)^{2} + k$

Now, given that we have f(x) = x² + 14x + 40, to express f into its vertex form, we must first fill in the expression to form a perfect square.

One concept that we must remember when completing the square is that

(a + b)² = a² + 2ab + b²

So, to complete the square for (x² + 14x + ____), we have 2ab = 14 where a = 1. Thus, b = 14/2 = 7. Hence, the last term of the perfect square must equal to 7² = 49.

So, going back to the function, we have

$f(x) = (x^{2} + 14x + 40 + 0)$
$f(x) = (x^{2} + 14x + 40 + 49 - 49)$
$f(x) = (x^{2} + 14x + 49) + 40 - 49$
$f(x) = (x + 7)^{2} - 9$

Thus, we have derived the vertex form of the function.

Answer: f(x) = (x + 7)² - 9

6 0

3 years ago

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Solve for n 11/6=n+7/9 (Plz no trolling; will mark brainiest)

xxTIMURxx [149]

Answer:

$n=\frac{19}{18}$

Step-by-step explanation:

Ir order to find the value of n in the given linear equation: $\frac{11}{6} = n + \frac{7}{9}$ you have to perform the properties of equalities to obtain an equivalent equation.