The graph of f(x) grows exponentially and the graph of g(x) grows linearly.

Could somebody please help me find the answers for 'x' for these pictures?

djyliett [7]

Answer:

(in order) #1

for the first one you have a vertical angle. Vertical angle is basically any 2 lines who intersect each other. The opposite sides will be congruent.

So in this case

2x+8 and 110 are oppostie sides.

2x+8=110

Which is x= 51

#2

For the second one you have supplementray angles

Now for supplementary angles its basically 2 angles added up that form a straight line And 180 degress is always the measure of a straight line. SO in this case we do

9x+12x+75=180

Which is x=5

#3

This is also a vertical angle pair and their congruent just like #1

So 5x+5=65

x=12

4 0

2 years ago

Read 2 more answers

A plumber charges a base fee of $55 for service call plus &35 per hour for each hour worked during the service call. Write a

Tasya [4]

Answer:

p = 55 + 35h

Step-by-step explanation:

Let p and h represent the price of the service call and the hours worked, respectively. The price charged is 35 dollars for each hour, so the time-based part of the price is 35h. The base fee of 55 dollars is added to that for a total price of ...

p = 55 + 35h

5 0

3 years ago

Suppose S and T are mutually exclusive events. Find P(S or T) if P(S) = 8/9 and P(T) = 1/10.

blsea [12.9K]

Answer:

$\textbf{$P(S \cap T) = \frac{89}{90}$ }\\$

Step-by-step explanation:

$\textup{Mutually events are events that cannot occur at the same time.}\\\textup{When you toss a coin you get only $head$ or only $tail$ but never both.}\\ \textup{In mathematical terms $P(A) \cup P(B) = 0$, where $A$ and $B$ are mutually exclusive events. }\\\textup{We know the formula:}\\$$ P(A \cup B) = P(A) + P(B) - P(A \cup B) $$\\\textup{When $A$ and $B$ are mutually exclusive, it will simply be:}\\$$ P(A \cup B) = P(A) + P(B) $$\\\textup{Now given:}\\ $P(S) = 8/9$ , $P(T) = 1/10$\\$