Determine which of the following graphs represent the equation below. Also determine the y-intercept of the graph.

Mathematics

1 answer:

yKpoI14uk [10]4 years ago

5 0

Answer:

Option (a)

Step-by-step explanation:

The given equation is

y = 4 (2ˣ)

To find y-intercept, substitute x=0 in the equation.

y = 4 (2⁰) = 4 (1) =4

Hence y-intercept is 4.

Since y-intercept is 4, the equation should pass through the point (0,4).

The only graph passing through the point (0,4) is the graph in option (a).

Hence the answer is option (a).

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Jens motorboat travels at a speed of 40 miles in Stillwater booth river flows at a speed of 4 mph how long will it take Jen to t

olganol [36]

Recall your d = rt, distance = rate * time.

bearing in mind that, when she's going downstream, she's not going 40 mph, she's going 40 + 4 mph, because the stream is adding its speed to it.

likewise, when she's going upstream, she's going 40 - 4 mph, because the stream is eroding speed from it, thus

$\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
Upstream&10&40-4&u\\
Downstream&10&40+4&d
\end{array}
\\\\\\
10=(40-4)u\implies \cfrac{10}{40-4}=u\implies \cfrac{10}{36}=u\implies \cfrac{5}{18}=u
\\\\\\
10=(40+4)d\implies \cfrac{10}{40+4}=d\implies \cfrac{10}{44}=d\implies \cfrac{5}{22}=d$

so, "u" is 16 minutes and 40 seconds.

and "d" is 13 minutes and about 38 seconds.

4 0

3 years ago

Choose the correct simplification of the expression a6b3/a4b2

Law Incorporation [45]

Answer:

a2b

Step-by-step explanation:

a6b3 / a4b2

When dividing exponents, you subtract them.

a6-4

b3-2

Leaving you with a2b