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vlabodo [156]
3 years ago
8

2 math questions. Please show your work if you can, I struggle with this, Thanks !! 20pts

Mathematics
1 answer:
castortr0y [4]3 years ago
5 0

Step-by-step explanation:

To find the solution, Tanisha can graph each side of the equation as its own function:

y₁ = log₃(5x)

y₂ = log₅(2x + 8)

The solution is where the two curves cross.  From the graph, that happens at x ≈ 0.957.

desmos.com/calculator/lkukjhn3g2

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How does the graph of f(x)=(x+7)^3compare to the parent function of f(x) = x^3?
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it is moved 7 to the left of the parent function

Step-by-step explanation:

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3 years ago
Two computers just scanned for viruses at the same time. Computer A runs a virus scan every 2.75 days. Computer B runs a virus s
Elis [28]

Let the time taken by computer for virus scan be, 'x' days

We are given that Computer A runs a virus scan in every 2.75 days and Computer B runs a virus scan in every 3.5 days.

<h3>Amount of work done by computer A⤵️</h3>

Amount of work done in one day = \tt\frac{1}{2.75}

Amount of work done in x days = \tt\frac{x}{2.75}

<h3>Amount of work done by Computer B⤵️</h3>

Amount of work done in one day = \tt\frac{1}{3.5}

Amount of work done in x days = \tt\frac{x}{3.5}

Since, They are doing the same work the amount of work done is 1.

\sf \:  \frac{x}{2.75}  +  \frac{x}{3.5}  = 1

Solve for x ~

\sf \frac{x}{ \frac{11}{4} }  +  \frac{x}{ \frac{7}{2} }  = 1

\sf \frac{4x}{11}  +  \frac{2x}{7}  = 1

\sf \: 28x + 22x = 77

\sf \: 50x = 77

\sf \: x =  \frac{77}{50}

\boxed{ \bf \: x = 1.54}

➪ <em>Thus, the time taken when both computers run a virus scan at the same time again is, 1.54 days</em>

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