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Phoenix [80]
4 years ago
7

Match the graph to one of the exponential functions .

Mathematics
1 answer:
Ipatiy [6.2K]4 years ago
4 0

Answer:

The second possible answer is the correct one.

Step-by-step explanation:

The second possible answer is the correct one.  As x increases, 4^x increases exponentially.  However, in this case there's a negative sign in front of 4^x, so we know that the graph follows an exponential trajectory downward.  Also note that 4^0 = 1, so 1 - 4^x = 0 at x = 0.

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Find the area of the shape
Free_Kalibri [48]

Answer:

14 units²

Step-by-step explanation:

The area of the shape = area of a triangle

Area of triangle = ½ × base × height

base = 7

height = 4

Plug in the value into the formula:

Area = ½ × 7 × 4

Area = ½ × 28

Area = 14 units²

7 0
3 years ago
A motorboat that travels with a speed of 20 km/hour in still water has traveled 20 km against the current and 180 km with the cu
Gala2k [10]
Recall your d = rt.  distance = rate * time.

let's say the speed of the current is "c".

keeping in mind that, when the boat is going against the current, the boat is not really going at 2kmh, but instead at " 20 - c ", because the current is subtracting speed from it.

Likewise when is going with the current, is going at a speed of " 20 + c ".

if the boat took say "t" hours on the way over, on the way back it took the slack from the whole 8 hours and "t", namely it took " 8 - t " hours.

\bf \begin{array}{lccclll}
&\stackrel{km}{distance}&\stackrel{kmh}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{against the current}&20&20-c&t\\
\textit{with the current}&180&20+c&8-t
\end{array}
\\\\\\
\begin{cases}
20=(20-c)(t)\implies \frac{20}{20-c}=t\\
180=(20+c)(8-\stackrel{\downarrow }{t})\\
--------------\\
180=(20+c)\left( 8- \stackrel{\downarrow }{\frac{20}{20-c}}\right)
\end{cases}
\\\\\\
180=(20+c)\left( \cfrac{(160-8c)-20}{20-c} \right)

\bf 180=(20+c)\left( \cfrac{140-8c}{20-c} \right)\implies 180(20-c)=(20+c)(140-8c)
\\\\\\
3600c-180c=2800-160c+140c-8c^2
\\\\\\
3600c-180c=2800-20c-8c^2
\\\\\\
3600c-180c-2800+20c+8c^2=0\implies 8c^2-160c+800=0
\\\\\\
c^2-20c+100=0\implies (c-10)(c-10)=0\implies \boxed{c=10}
8 0
3 years ago
Hurry someone please answer plsss<br> Find the midpoint of each line segment.
djverab [1.8K]

Answer:

2.5

Step-by-step explanation:

you can use pythag theorem and divide c by two:

-3^2+4^2=c^2

9+16= 25

c=5

however, 5/2=2.5

4 0
3 years ago
4px = 20 <br> (find p) <br> -4px = 20<br> (find x)
Kazeer [188]

Answer:

4px=20

x=(20/4p)-----(1)

-4px=20--------(2)

putting value of x in epn 2

-4p*20=20*4p

-80p=+80p

Both cut these value are rejected

Checkout the question again bro it might be wrong

Please for my hard work make me brainliest answer

5 0
3 years ago
After writing part of his novel, Thomas is now writing 16 pages per week. After 4 weeks, he has written 85 pages. Assume the rel
d1i1m1o1n [39]

The initial value is 21 and rate of change is 16 pages per week

<em><u>Solution:</u></em>

Given that After writing part of his novel, Thomas is now writing 16 pages per week

After 4 weeks, he has written 85 pages.

Given that assume the relationship to be linear

Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + c

y = mx + c

where "y" is the number of pages written after 4 weeks

x = 4 weeks and m = 16 pages

Therefore,

85 = 16(4) + c

85 = 64 + c

c = 85 - 64

c = 21

Therefore, initial value is 21 and rate of change is 16 pages per week

7 0
3 years ago
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