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Elodia [21]
3 years ago
14

You will drive 200 miles and need to calculate your gas expense (25km per gallon and gas costs $6.00/gallon).

Mathematics
1 answer:
makvit [3.9K]3 years ago
7 0
First you do 200 miles divided by 25 km. It is 8. This means you need 8 gallons for the whole trip. 8 times 6dollars is 48 dollars. You will need to pay 48 dollars in gas prices.
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mestny [16]
(8/16) would be the slope
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The graph of function g(x) is a transformation of the graph of function f(x) = x2.g(x) =
mariarad [96]

Given:

The graph of function g(x) is a transformation of the graph of function f(x) = x²

As shown: the graph of g(x) is open down

So, we will reflect f(x) over the x-axis, the function will be ⇒ -x²

And there is horizontal compression so, the factor of compression will be > 1

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6 0
1 year ago
Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?
vichka [17]

Answer:

The expression -1+14i represents  the number 2i^4-5i^3+3i^2+\sqrt{-81} rewritten in a+bi form.

Step-by-step explanation:

The value of i is i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4} in term of i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}

Substituting the value,

i^{4}=\left(-1\right)\times \left(-1\right)

Product of two negative numbers is always positive.

\therefore i^{4}=1

Now i^{3} in term of i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i

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i^{3}=\left(-1\right)\times i

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\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}

Applying radical multiplication rule,

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\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}

Now, \sqrt{\left(81\right)=9 and \sqrt{-1}}=i

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Now substituting the above values in given expression,

2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i

Simplifying,

2+5i-3+9i

Collecting similar terms,

2-3+5i+9i

Combining similar terms,

-1+14i

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

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