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Naddika [18.5K]

3 years ago

6

Given that (-3,-3) is on the graph of f(x), find the corresponding point for the function f(x)-5

1 answer:

nexus9112 [7]3 years ago

6 0

We have the following function and point:
The originial function is f (x).
The original function contains the point (-3, -3).
The transformation f (x) - 5 shifts the graph 5 units to the bottom.
Therefore, the new point is:
(-3, -3-5) = (-3, -8)
Answer:
the corresponding point for the function f (x) -5 is:
(-3, -8)

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Nana76 [90]

Step-by-step explanation:

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3 years ago

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konstantin123 [22]

Answer:

$b)\ 0.568$

Step-by-step explanation:

Given

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Required

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From the question, we have:

$P(a < x < b) = \int\limits^b_a {f(x)} \, dx$

So, we have:

$P(0.3 < x < 0.7) = \int\limits^{0.7}_{0.3} {6x(1 - x)} \, dx$

Open bracket

$P(0.3 < x < 0.7) = \int\limits^{0.7}_{0.3} {6x - 6x^2} \, dx$

Integrate

$P(0.3 < x < 0.7) = \frac{6x^2}{2} - \frac{6x^3}{3}}|\limits^{0.7}_{0.3}$

$P(0.3 < x < 0.7) = 3x^2 - 2x^3|\limits^{0.7}_{0.3}$

Substitute 0.7 and 0.3 for x

$P(0.3 < x < 0.7) = (3*0.7^2 - 2*0.7^3) - (3*0.3^2 - 2*0.3^3)$

Using a calculator, we have:

$P(0.3 < x < 0.7) = (0.784) - (0.216)$

Remove brackets

$P(0.3 < x < 0.7) = 0.784 - 0.216$

$P(0.3 < x < 0.7) = 0.568$

3 0

2 years ago

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tatyana61 [14]

Answer:

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Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

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harina [27]

Answer:

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Step-by-step explanation:

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3 years ago

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leva [86]

Answer:

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4 0

3 years ago