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mixer [17]
2 years ago
10

Ifp * (x) = 3x ^ 2 - 4 and r(x) = 2x ^ 2 - 5x + 1 . find value r(x + 2)

Mathematics
1 answer:
valina [46]2 years ago
7 0

Answer:

<h2>          r(x+2) = 2x² + 3x - 1</h2>

Step-by-step explanation:

r(x) = 2x ^ 2 - 5x +1\\\\ r(x+2) = 2(x+2)^ 2 - 5(x+2) +1\\\\ r(x+2) = 2(x^2+4x+4) - 5x-10+1\\\\ r(x+2) = 2x^2+8x+8 - 5x-9\\\\ r(x+2) = 2x^2+3x-1

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As an estimation we are told 5 miles is 8 kilometres. Convert 65 miles to km
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Ugo [173]
Part a is correct.

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4 0
2 years ago
Secant RM intersects secant RN at point R. Find the length of RQ. If necessary, round to the hundredths place.
QveST [7]

Answer:

3 Units

Step-by-step explanation:

Secant RM intersects secant RN at point R.

The secants intersects the circle at points P and Q respectively as seen in the diagram.

To determine the length of RQ, we use the Theorem of Intersecting Secants.

Applying this on the diagram, we have:

RP x RN=RQ X RM

4(4+5)=RQ(RQ+9)

Let the length of RQ=x

4*9=x^2+9x\\36=x^2+9x\\x^2+9x-36=0\\x^2+12x-3x-36=0\\x(x+12)-3(x+12)=0\\(x+12)(x-3)=0\\x+12=0$ x-3=0\\x=-12 or x=3\\Since x cannot be negative$\\x=|RQ|=3

Therefore, length of RQ=3 Units

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2 years ago
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