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Len [333]
3 years ago
13

9. Let f be a continuous function such that f(3) = 4 and f(5)=2. Let h(x)= f(x) + 2x. Explain why

Mathematics
1 answer:
GaryK [48]3 years ago
4 0

Since <em>f(x)</em> is continuous, so is <em>h(x)</em>.

Also, since <em>f</em> (3) = 4 and <em>f</em> (5) = 2, we have

<em>h</em> (3) = <em>f</em> (3) + 2•3 = 4 + 6 = 10

<em>h</em> (5) = <em>f</em> (5) + 2•5 = 2 + 10 = 12

It follows from the intermediate value theorem that there is some <em>t</em> between 3 and 5 such that <em>h(t)</em> is between 10 and 12, and namely there is some <em>t</em> for which <em>h(t)</em> = 11.

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Answer:

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Step-by-step explanation:

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3 years ago
Does someone know how to solve this problem?
Naddika [18.5K]

Answer:

Acute scalene triangle.

Step-by-step explanation:

Acute scalene triangle.

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Area: T = 13.998

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Angle ∠ A = α = 29.995° = 29°59'41″ = 0.524 rad

Angle ∠ B = β = 61.028° = 61°1'42″ = 1.065 rad

Angle ∠ C = γ = 88.977° = 88°58'37″ = 1.553 rad

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Height: hb = 3.999

Height: hc = 3.499

Median: ma = 7.246

Median: mb = 5.268

Median: mc = 4.062

Inradius: r = 1.473

Circumradius: R = 4.001

Vertex coordinates: A[8; 0] B[0; 0] C[1.938; 3.499]

Centroid: CG[3.313; 1.166]

Coordinates of the circumscribed circle: U[4; 0.071]

Coordinates of the inscribed circle: I[2.5; 1.473]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 150.005° = 150°19″ = 0.524 rad

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3 years ago
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Answer:The baker can make 144 croissants

Step-by-step explanation:

Lets solve your question

Divide the total amount of lbs of dough (18 lbs) by the total amount of dough for each croissant (1/8 lbs)

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2 years ago
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