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Amiraneli [1.4K]
3 years ago
14

The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.

Mathematics
2 answers:
AleksAgata [21]3 years ago
8 0

The answer is  f(x)=5(x+8)-80f ( x ) = 5 ( x + 8 ) − 80

MariettaO [177]3 years ago
4 0
5x(8+x)
Is the correct answer for vertex form
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Write a multiplication fact that goes with this division fact.<br><br> 30 ÷ 5 = 6
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5 times 6 = 30 hope this helped

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The _______ form of a quadratic equation is written y = a(x - h)2 + k.
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Step-by-step explanation:

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How do you know a radical expression is in simplest form?
Diano4ka-milaya [45]
Answer: To know whether a radical expression is in simplest form or not you should put the numbers and letters inside the radical in terms of prime factors. Then, the radical expression is in the simplest form if all the numbers and letters inside the radical are prime factors with a power less than the index of the radical

Explanation:

Any prime factor raised to a power greater than the index of the root can be simplified and any factor raised to a power less than the index of the root cannot be simplified

For example simplify the following radical in its simplest form:


\sqrt[5]{3645 a^8b^7c^3}

1) Factor 3645 in its prime factors: 3645 = 3^6 * 5

2) Since the powr of 3 is 6, and  6 can be divided by the index of the root, 5, you can simplify in this way:

- 6 ÷ 5 = 1 with reminder 1, so 3^1 leaves the radical and 3^1 stays in the radical

3) since the factor 5 has power 1 it can not leave the radical

4) the power of a is 8, then:

8 ÷ 5 = 1 with reminder 3 => a^1 leaves the radical and a^3 stays inside the radical.

5) the power of b is 7, then:

7 ÷ 5 = 1 with reminder 2 => b^1 leaves the radical and b^2 stays inside the radical

6) the power of c is 3. Since 3 is less than 5 (the index of the radical) c^3 stays inside the radical.

7) the expression simplified to its simplest form is

3ab \sqrt[5]{3.5.a^3b^2c^3}

And you know it cannot be further simplified because all the numbers and letters inside the radical are prime factors with a power less than the index of the radical.
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Step-by-step explanation:

Start with the given

2y\leq 8\\

Divide the two on both sides to get

y\leq 4

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One of Newton’s laws of motion states that objects in motion tend to stay in motion. What is the reason that this law may not al
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The answer is D.

The full specification of Newton's First Law is (from Wikipedia)

In an inertial frame of reference, an object either remains at rest or continues to move at a constant velocity, unless acted upon by a force.

On earth we're generally in slightly a non-inertial frame, with rotation and revolution around the sun. It's also impossible to turn of gravity, so objects are being acted upon by an outside force. Typically there's also the outside force of friction, which makes things tend to stop.




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2 years ago
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