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madreJ [45]
3 years ago
11

Quintin is participating in a walkathon. He writes the equation m = 8d + 6 to represent the amount of money he collects from eac

h sponsor for walking d kilometers. What number represents the rate of change? What number represents the initial value? Explain.
Mathematics
1 answer:
Lera25 [3.4K]3 years ago
8 0

Answer:

8 represents the rate of change while 6 represents the initial value

Step-by-step explanation:

For every additional kilometer d that we walks, d increases by 1 and m increases by 8 times d. So 8 represents the rate of change.

At d = 0, meaning d = 0, m = 8*0 + 6 = 6. So he gets 6 at before having to walk. So 6 represents the initial value

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Please help me solve this
Nataly_w [17]

Answer:

x = 24

Step-by-step explanation:

using the rule of exponents

a^{m} × a^{n} = a^{(m +n)}

consider left side

5^{\frac{x}{6} } × 5^{\frac{x}{2} }

= 5^{\frac{x}{6} } × 5^{\frac{3x}{6} }

= 5^{\frac{4x}{6} }

then

5^{\frac{4x}{6} } = 5^{16}

since the bases on both sides are equal, both 5 then equate exponents

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4x = 96 ( divide both sides by 4 )

x = 24

8 0
2 years ago
Describe the steps to draw a line perpendicular to line segment AB through point C that is not on the segment.
poizon [28]

Answer:

First you can just flip the line on point C to make a 90 degree angle. That's the simple way.

Other way is to get the slope of AB let's say ex : -1/2

We need to get the slope of C to be a reversed reciprocal of -1/2. So, 2.

Basically I flipped -1/2 in to -2/1 then removed the negative sign for 2.

:)

Hope that makes sense to ya

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