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torisob [31]
3 years ago
6

Find the zeros of the function g(x) = 2x2 - 5x + 2.

Mathematics
1 answer:
sertanlavr [38]3 years ago
8 0
G(x) = 2x² - 5x + 2 = 2x² - 4x - x + 2 = 2x · x - 2x · 2 - 1 · x - 1 · (-2)

= 2x(x - 2) -1(x - 2) = (x - 2)(2x - 1)

g(x) = 0 ⇔ (x - 2)(2x - 1) = 0 ⇔ x - 2 = 0 or 2x - 1 = 0

x = 2 or x = 0.5
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The length of a log of wood is 90 in. How many cuts do you need to make to obtain
Ilia_Sergeevich [38]

The greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The total length of the wood = 90 in

We have to cut it into the greatest number of pieces, where each piece will have a different length and the length of each piece is a whole number, in inches.

We can cut it like:

1 in, 2 in, 3 in, 4 in, and so on

The above shows the arithmetic sequence,

The sum of the n natural number is given by:

\rm S_n = \dfrac{n(n+1)}{2}

\rm 90 = \dfrac{n(n+1)}{2}

After solving, we will get a quadratic equation:

n² + n -180 = 0

After solving, we will get:

n = 12.92 and n = -13.92(term can not be negative)

n = 12 (taking whole number)

Thus, the greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).

Learn more about the sequence here:

brainly.com/question/21961097

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6 0
2 years ago
Solve the quadratic equation: 3x2 − 2x − 8 = 0
astra-53 [7]
Solutions 

Factor <span>3x</span>²<span><span>−2x−8</span><span>

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2. Ask: Which two numbers add up to -2 and multiply to -24?

3. Answer: 4 and -6

4. Rewrite <span>−2x </span>as the sum of <span>4x </span>and <span>−6x</span>: 

3x^2+4x-6x-8=0<span>

</span><span>Factor out common terms in the first two terms, then in the last two terms 
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x(3x+4)-2(3x+4)=0&#10;&#10; &#10; 

 Factor out the common term <span>3x+4 

</span>(3x+4)(x-2)=0 

Solve for <span>x

</span>1. Ask: When will <span>(3x+4)(x−2) </span>equal zero?

2. Answer: When <span>3x+4=0 </span>or <span>x−2=0.</span>

3. Solve each of the 2 equations above: 

x = −<span>4 / 3</span>,<span>2</span>

8 0
3 years ago
Read 2 more answers
Gary ordered 30 pizzas for a party. 60% of the pizzas have 12 slices each. The remaining 40% of the pizzas have 10 slices each.
LekaFEV [45]

Answer:

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Step-by-step explanation:

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40% of 30 = 12

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216 + 120 = 336

4 0
3 years ago
Patrick wants to prepare a salad. He needs 3 cups of cooked macaroni, 3 cups of sliced oranges, 2 cups of sliced apple, 1 cup of
LiRa [457]

Answer:

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Step-by-step explanation:

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3 years ago
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den301095 [7]

Answer:

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Step-by-step explanation:

Look at attachment below to see drawn line. For further questions just comment below

Hope this helps (:

7 0
3 years ago
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