3 years ago

1. Solve exponential equations: ax=b, where a>0, a≠1, b>0

Mathematics

1 answer:

Brums [2.3K]3 years ago

5 0

Answer:

$x=log_{a}b$

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Madison is entering a bicycle race for charity. Her mother pledges $0. 80 for every. 5 miles she bikes. If Madison bikes 12 mile

dusya [7]

so Im not sure about how an equation for this would look but im assuming her mom doesnt pay unless a full 5 is completed, in that case her mom donates $1.6, in the case less than 5 is still donated for we make .16 * 12 which is $1.92

5 0

2 years ago

Use the figure below to answer the questions.

Pavlova-9 [17]

The transformation is a reflection in the line $y=x$ followed by a reflection in the line $x=1$ .

The mapping for a reflection in the line $y=x$ is $(x,y) \rightarrow (y,x)$ .

That is simply swapping the coordinates.

$A(-3,4) \rightarrow (4,-3)$

$B(-3,0) \rightarrow (0,3)$

$C(-1,3) \rightarrow (3,-1)$

Now we reflect the resulting coordinates in the line $x=1$ which has the mapping $(x,y) \rightarrow (2(1)-x,y)$

So we transform the resulting coordinates as follows:

$(4,-3) \rightarrow A'(2(1)-4,-3)$

$(0,-3) \rightarrow B'(2(1)-0,-3)$

$(3,-1) \rightarrow C'(2(1)-3,-1)$

Hence we have

$A'(-2,-3),B'(2,-3) \: and\: C'(-1,-1)$