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kolbaska11 [484]
3 years ago
8

Which statement describes the graph f(x)=4x^7+40x^6+100x^5?

Mathematics
1 answer:
Anestetic [448]3 years ago
8 0

Answer:

Graph crosses the x-axis at x = 0 and has zeros at {-5, -5}.

Step-by-step explanation:

Note that f(x) factors as follows:  f(x) = 4x^5 (x^2 + 10x + 25), which in turn factors into f(x) = 4x^5 (x + 5)^2.

To find the zeros, we set this f(x) = to 0 and solve for x:

{0, -5, -5}.

Thus, we can immediately eliminate the first two possible answers.

The factor x^5 tells us that the graph crosses the x-axis at 0.  If we had x^6, which is an even power of x, the graph would only touch the x-axis at 0.

The correct answer choice is the third one.

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Answer:

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Step-by-step explanation:

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Now, group like terms.

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4n^4 - 4n^4 cancel out with each other since one is negative and the other is positive. So we're left with - 8n² -8n - 1 + 4

= - 8n² -8n - 1 + 4

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A figure is translated using the mapping (x, y) → (x + a, y + b). If the value of a is negative and the value of b is negative,
MAXImum [283]

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Option:B.

<u>Step-by-step explanation:</u>

The given coordinate  (x,y) is mapped and it gets translated using mapping (x+a,y+b).

Also, we are given with information that the value of a and also value of b is negative (-a,-b).

⇒the mapping coordinate = (x+(-a),y+(-b)).

The mapping coordinate = ( x-a, y-b).

The coordinate points will be decreasing in x and y axis. So it will move towards the left and downside of the graph.

For example,

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Choose a coordinate point ( 2,2) initially.

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After translation the points will be (-1,0).

∴The figure will move towards left and downwards.

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