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3 years ago

Which of the following equations have exactly one solution?

Mathematics

2 answers:

iogann1982 [59]3 years ago

6 0

Answer:

A and C

Step-by-step explanation:

Ilia_Sergeevich [38]3 years ago

3 0

For choice A, we can rearrange the equation to $38x=0,$ so it has exactly one solution, $x=0.$

For choice B, we rearrange the equation to $38x=36,$ so this too has exactly one solution, $x=\frac{36}{38}=\frac{18}{19}.$

Rearranging the equation in choice C by eliminating the $x$ terms gives us the false equality $-18=18,$ so this equation has no solutions.

Eliminating $x$ in the equation in choice D gives the equality $18=18,$ which is always true, so this equation has infinitely many solutions.

Thus, we conclude that choices A and B work.

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(i) Challenge: Thembi received 8% discount on an item which cost

Paul [167]

Answer:

$x = 0.25$

Step-by-step explanation:

Given

$Cost\ Price = 6 + x$

$Discount =8\%$

$Amount\ Paid = R6 - x$

Required

Find x

First, we calculate the amount paid in terms of the cost price.

This is calculated using:

$Amount\ Paid = Cost\ Price * (100\% - Discount)$

$Amount\ Paid = (6 + x) * (100\% - 8\%)$

$Amount\ Paid = (6 + x) * 92\%$

Express as decimal

$Amount\ Paid = (6 + x) * 0.92$

Open bracket

$Amount\ Paid = 5.52 + 0.92x$

So, we have:

$Amount\ Paid = 5.52 + 0.92x$ and

$Amount\ Paid = R6 - x$ ---- given

Equate both

$6 - x = 5.52 + 0.92x$

Collect like terms

$- x -0.92x= 5.52-6$

$-1.92x= -0.48$

$1.92x= 0.48$

Solve for x

$x = \frac{0.48}{1.92}$

$x = 0.25$

8 0

3 years ago

AD<br>What is the value of the expression ( 2 ^4)^2

Len [333]

I believe the value is 256
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