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adoni [48]
3 years ago
6

Which function represents a reflection of f(x) = Three-sevenths(2)x over the x-axis?

Mathematics
2 answers:
NemiM [27]3 years ago
9 0

<u>Given:</u>

The given function is f(x)=\frac{3}{7}(2)^{x}

We need to determine the reflection of f(x) over the x - axis

<u>Reflection over x - axis:</u>

The translation rule to reflect over the x - axis is given by

(x, y) \rightarrow(x,-y)

Reflecting the function over the x - axis, we get;

-y=\frac{3}{7}(2)^{x}

Multiplying -1 to both sides of the equation, we have;

y=-\frac{3}{7}(2)^{x}

This can be written as

g(x)=-\frac{3}{7}(2)^{x}

Hence, the reflection of the function over the x - axis is g(x)=-\frac{3}{7}(2)^{x}

Thus, Option A is the correct answer.

Gekata [30.6K]3 years ago
8 0

Answer:

A

Step-by-step explanation:

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30

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The student at Abu 's School voted for a new school mascot. 60% of the students voted to be the Falcons. If there are 595student
aniked [119]

Answer:

<h2><u>Given</u><u> </u><u>:</u><u>-</u></h2>
  • There are 595 total students in the school .
  • 60% of the total students voted to be the falcons .

\large\bf{\underline{To \:find }}

  • How many students voted not to be in falcon ?

\large\bf{\underline{Therefore  }}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹ 100 - 60 = 40

  • 40% of the total students voted not be in falcon

\large\bf{\underline{Hence }}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹ 40% of 595

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= \frac{40}{100}  \times 595

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎=2 \times 119

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= 238

\bf{\underline{So , 238 \: students \:voted \:not\:to \:be\:in\: falcon }}

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2 years ago
Inequality of -3x - 6 &lt; 50
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0

Step-by-step explanation:

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3 years ago
Fran swims at a speed of 2.8 mph in still water. The Lazy River flows at a speed of 0.8 mph. How long will it take Fran to swim
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Answer:

1.49 hrs or 1 hr and 30 minutes approximately

Step-by-step explanation:

if fran go 2.8m up then the river flow at a rate of 0.8m; the since we are taking the speed of fran and river to be constant. the ratio between their speed will always remain constant. that is if 0.8/2.8 = 0.286≈ this will be always constant.

so if he go up 4m then the horizontal length has to be 1.143 because 1.143/4 = 0.286.

now we find the distance between frans initial positon and final position. to find it we use pythagoras theorem.

\sqrt{(4^2 + 1.143^2)} =4.160 miles

to find the time divide distance traveled by speed;

4.160/2.8 = 1.49 hrs

7 0
3 years ago
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