3 years ago

Which function is represented by the graph below?

Mathematics

1 answer:

slava [35]3 years ago

5 0

Answer:

The correct answer option is f(x) = 3^(x+3).

Step-by-step explanation:

We are to determine whether which of the given answer options represent the given graph.

A graph which has a similar shape like that of the given graph here (big on the left and crawling along the x-axis on the right) represents the exponential growth or decay.

Therefore, the only correct option we have here is f(x) = 3^(x+3).

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In the figure, PQ is parallel to RS. The length of RP is 5cm; the length of PT is 30cm; the length of QT is 60cm. What is the le

rjkz [21]

The triangles PTQ and RTS are similar; so the ratios of corresponding sides are equal.

Let us denote the unknown length SQ as x.

We could make the following similarity relation;

$\begin{gathered} \frac{30}{30+5}=\frac{60}{60+x} \\ \end{gathered}$

Cross multiply to obtain;

$\begin{gathered} 30(60+x)=60(35) \\ 1800+30x=2100 \\ \text{collect like terms} \\ 30x=2100-1800 \\ 30x=300 \\ \text{divide both sides by 30} \\ \frac{30x}{30}=\frac{300}{30} \end{gathered}$

Therefore;