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2 years ago

Given the equation f(x)=-2x²+4x+6 find the average rate of change from x=1 and x=2

Mathematics

1 answer:

emmainna [20.7K]2 years ago

8 0

Answer:

Step-by-step explanation:

1) Plug x=1 into equation

f(x) = -2(1)²+4(1)+6

f(x) = -2²+4+6

f(x) = 4+4+6

y = 14

(1,14)

2) Plug in x=2 into equation

f(x) = -2(2)²+4(2)+6

f(x) = -4²+8+6

f(x) = 16+8+6

y = 30

(2,30)

3) Use slope formula ( $\frac{y2-y1}{x2-x1}$ )

$\frac{30-14}{2-1}$

$\frac{16}{1}$

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<h3>Answer: 31 games</h3>

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Explanation:

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Answer:

Therefore, the two options for triangles to be congruent using AAS are

1. BC ≅ MQ (Additional information)

2. AC ≅ RQ (Additional information)

Step-by-step explanation:

Given:

∠CAB =∠MRQ = 29°

∠ABC = ∠RMQ = 116°

To Prove:

Δ ABC ≅ ΔRMQ by AAS congruence test which additional information is required

Proof:

In Δ ABC and Δ RMQ

∠CAB =∠MRQ = 29° ……….{Given}

∠ABC = ∠RMQ = 116° ..……..{Given}

BC ≅ MQ ……….{Additional information required}

Δ ABC ≅ Δ RMQ ….{By Angle-Angle-Side congruence test}

In Δ ABC and Δ RMQ

∠CAB =∠MRQ = 29° ……….{Given}

∠ABC = ∠RMQ = 116° ..……..{Given}

AC ≅ RQ ……….{Additional information required}

Δ ABC ≅ Δ RMQ ….{By Angle-Angle-Side congruence test}

Therefore, the two options for triangles to be congruent using AAS are

1. BC ≅ MQ (Additional information)

2. AC ≅ RQ (Additional information)

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Given the equation f(x)=-2x²+4x+6 find the average rate of change from x=1 and x=2​

Given the equation f(x)=-2x²+4x+6 find the average rate of change from x=1 and x=2