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WINSTONCH [101]
2 years ago
15

Please give the answer

Mathematics
1 answer:
Alex2 years ago
7 0

Step-by-step explanation:

<u><em>f(a):</em></u>

   So for this you simply plug in "a" as x, and this doesn't really do anything beside replace all values with x, so you just have the equation:

  f(a) = 5a+4

<u><em>2 f(a):</em></u>

   So for this one, you want to represent f(a) using the equation it's equal to (5a + 4), and substitute it in for f(a). In doing so, you get the expression:

   2*f(a) -> 2(5a + 4) -> 10a + 8

<u><em>f(2a):</em></u>

   So this is very similar to the first question, although you will have to do some multiplication. So just plug in 2a as "x" to get the equation:

   f(2a) = 5(2a) + 4 = 10a+4

<u><em>f(a+2):</em></u>

   Basically the same process, you plug in (a+2) as "x" and simplify:

   f(a+2) = 5(a+2) + 4\\f(a+2) = 10a+10+4\\f(a+2) = 10a+14

<u><em>f(a) + f(2)</em></u>:

  This is similar to the second question, and you simply want to replace the f(a) with the equation that represents it (5a + 4) and same thing for f(2) = 5(2) + 4

   f(a) + f(2) = (5a+4)+(5(2)+4) \\f(a) + f(2) = (5a+4)+(10+4)\\f(a)+f(2) = (5a+4) + (14)\\f(a) + f(2) = 5a+18

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Read 2 more answers
Write an equation of the line that passes through each points (5,6) (3.4)
ioda

Answer:

y = x + 1.

Step-by-step explanation:

Start by finding the slope of this line.

If a slanting line goes through (x_{0},\, y_{0}) and (x_{1},\, y_{1}), where x_{0} \ne x_{1}, the slope of this line would be:

\begin{aligned}m &= \frac{y_{1} - y_{0}}{x_{1} - x_{0}}\end{aligned}.

The line in this question goes through (5,\, 6) and (3,\, 4). Hence, the slope of this line would be:

\begin{aligned}m &= \frac{y_{1} - y_{0}}{x_{1} - x_{0}} \\ &= \frac{6 - 4}{5 - 3} \\ &= 1\end{aligned}.

If a slanting line with a slope of m and goes through the point (x_{0},\, y_{0}), the equation of this line in the point-slope form would be:

y - y_{0} = m,\, (x - x_{0}).

For the line in this question, the slope is m = 1. Take (5,\, 6) as the chosen point on this line. The point-slope form equation of this line would be:

y - 6 = (x - 5).

Rewrite to obtain the equation of this line in the slope-intercept form:

y = x + 1.

7 0
3 years ago
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