Write 19/25 as a terminating decimal

1 answer:

8 0

Terminating decimals firstly are decimals that finish...
To transfer 19/25 to a decimal we have to get it out of 100.
To do this, multiply 19 by 4, and 25 by 4.
This gives you 76/100.
From here you can easily see the decimal is 0.76.

= 0.76

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What is one-fourth of four sevenths

AlekseyPX

1/4 x 4/7
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4/28 = 2/14 = 1/7 (notice I just cut both the top and bottom numbers in half each time I reduced until I couldn't reduce any more).
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4 years ago

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Express 610.47 in unit form.

Annette [7]

Answer:

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Please help!! :) Thank you!

Klio2033 [76]

Let's complete the square

f(x) = x^2 + 6x + 8

y = x^2 + 6x + 8

y-8 = x^2 + 6x

y-8+9 = x^2+6x+9 .... see note below

y+1 = (x+3)^2

y = (x+3)^2-1

note: I added 9 to both sides due to taking half of the 6, and then squaring that result.

We'll restrict x such that $x \ge -3$ to ensure that this function is one-to-one.

Now we need to swap x and y, and solve for y to get the inverse

y = (x+3)^2 - 1

x = (y+3)^2 - 1

x+1 = (y+3)^2

(y+3)^2 = x+1

y+3 = sqrt(x+1)

y = sqrt(x+1)-3

g(x) = sqrt(x+1)-3 is the inverse

The graph is shown below. The original function is in red. The inverse is in blue. The inverse is the result of reflecting the red curve over the dashed line y = x. So this explains why x and y swap places. Consequently, the domain and range also swap as well.