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ivanzaharov [21]
3 years ago
11

Which graph represents a reflection of f(x) = 1/10 (10)x across the y-axis?

Mathematics
2 answers:
nekit [7.7K]3 years ago
7 0
This is the concept of transformations, given the function given by f(x)=1/10(10)^x, when the function is reflected along the y-axis the new function will be given by f(x)=1/10(10)^(-x). This will mirror the original function.


Nesterboy [21]3 years ago
3 0

Answer:

We have to find a graph which represents a  reflection of f(x) = 1/10 (10)x across the y-axis.

As we know that on reflecting the graph across the y-axis the x-coordinate of the point changes to opposite sign nut with same magnitude and the y-coordinate remains same.

Hence, the function f(x) is transformed to:

f(x)=\dfrac{1}{10}\times 10^{-x}

The graph of the function passes through the point (0,0.1) and is a strictly decreasing function.

and the end behavior of the graph is that:

when x→∞    f(x)→ 0

when x→ -∞    f(x) → ∞

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The cube of the difference of 4 times x and 9
grigory [225]

Answer:

<h2>64x³ - 432x² + 972x - 729</h2>

Step-by-step explanation:

Write the statement into an expression

<h2>(4x - 9)³</h2><h2 /><h3>Now multiply that out...</h3><h3 /><h3>(4x - 9)²(4x - 9)</h3><h3 /><h3> Foil the first binomial</h3><h3 /><h3>  (16x² - 72x + 81)(4x - 9)</h3><h3 /><h3>Multiply the two polynomials together</h3><h3 /><h3>     16x²(4x) - 72x(4x) + 81(4x) + 16x²(-9) - 72x(-9) + 81(-9)</h3><h3 /><h3> 64x³ - 288x² + 324x - 144x² + 648x - 729</h3><h3 /><h3>combine like terms...</h3><h3 /><h3>64x³ - 432x² + 972x - 729</h3>
8 0
3 years ago
Explain how you can use base ten blocks to find 2.16 divided by 6
Studentka2010 [4]
<span>How to use base 10 blocks in dividing 2.16 by 6
=> how many 6s are there in 2.16. Let’s try
let’s try the blocks of
=> 1 =  IIIIIIIIIIIIIIIII = 17 6s (16.666.. * 6)
=> 2 = approximately 33 6s (33.33… * 6)
=> .16 = 0.27 6s or 3
=> 33 + 3 = 36 6s in 2.16
=> 2.16 / 6 = 0.36
Thus, there are 36 6s in 2.16 numbers. </span>



6 0
3 years ago
Please help me:<br><br>What's the domain?<br><br>What's the range?<br><br>Is it a function?​
VladimirAG [237]

Answer:

\displaystyle Yes \\ Range: Set-Builder\:Notation → [f(x)|-2 ≤ f(x) ≤ 4] \\ Interval\:Notation → [-2, 4] \\ \\ Domain: Set-Builder\:Notation → [x|0 ≤ x ≤ 7] \\ Interval\:Notation → [0, 7]

Step-by-step explanation:

Just by looking at the graph vertically and horisontally, you can tell what the range and domain is, depending on whether the segments are <em>closed</em> or <em>opened</em>.

* This is a function because it passes the <em>vertical</em><em> </em><em>line test</em>.

** This is kind of like a sine wave.

I am joyous to assist you anytime.

6 0
2 years ago
Read 2 more answers
My answers keep getting erased, even the ones that were actually perfectly fine and explained. The person who asked the question
NeX [460]

Answer:

623168

Step-by-step explanation:

749x832=623168

4 0
3 years ago
Please help me, thanks if you do
Olenka [21]

Answer:

y= -28

Step-by-step explanation:

x -y = 11

if x= -17 then substitute x for -17

-17 -y = 11; add 17 to both sides

-17 + 17 -y = 11+ 17; combine like terms

-y = 28; multiply both sides by -1

y= -28

3 0
2 years ago
Read 2 more answers
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