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Rasek [7]
2 years ago
11

PLEASEEEEEE HELPPPPPPPPP what are the zeros for this? f(x) = 2x^2 + 6x + 2

Mathematics
1 answer:
MatroZZZ [7]2 years ago
3 0

Answer:

-3/2 ±1/2 sqrt(5) = x

Step-by-step explanation:

f(x) = 2x^2 + 6x + 2

Set the function equal to 0

0 = 2x^2 + 6x + 2

Factor out 2

0 = 2(x^2 + 3x + 1)

Divide by 2

0 = (x^2 + 3x + 1)

Subtract 1 from each side

-1 = x^2 +3x

Complete the square by dividing the x coefficient by 2 and then squaring

(3/2)^2 = 9/4

-1 +9/4 = x^2 +3x+9/4

-4/4+9/4 = (x+3/2) ^2

5/4 = (x+3/2) ^2

Taking the square root of each side

± sqrt(5/4) = sqrt( (x+3/2) ^2)

±1/2 sqrt(5) =  (x+3/2)

Subtract 3/2 from each side

-3/2 ±1/2 sqrt(5) = x

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A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
Bess [88]

Answer:

4c+6a\leq120\\\\4c+4a\leq100

Step-by-step explanation:

Let c represents child bikes and a represents adult bikes.

Given :  Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test.

With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week.

Then, the required system of inequality :-

4c+6a\leq120----(1)\\\\4c+4a\leq100-----(2)

If company make 10 child bikes and 12 adult bikes in the week.

Then Put c=10 and a=12 bikes in (1) and (2).

4(10)+6(12)=40+72=112\leq120⇒Bike order meets the restrictions

4(10)+4(12)=40+48=88\leq100⇒Bike order meets the restrictions

Hence, the system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week.

4c+6a\leq120\\\\4c+4a\leq100

3 0
3 years ago
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3 years ago
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A newspaper’s cover page is 3/8 text, and photographs fill the rest. If 2/5 of the text is an article about endangered species,
jolli1 [7]

Answer:

\frac{3}{20}

Step-by-step explanation:

Let x be the cover page

We are given that a newspaper 's cover page is \frac{3}{8} text and photograph fill the rest.

We have to find that how much part of cover's page is the article about endangered species

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Remaining part =x-\frac{3}{8} x

Remaining part =\frac{8x-3x}{8}=\frac{5}{8} x

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If the article about endangered species=\frac{2}{5} of text

Therefore, the article about endangered species=\frac{2}{5}\times\frac{3x}{8}=\frac{3}{20}x

Hence,  the article about endangered species is \frac{3}{20}of the cover page.

7 0
3 years ago
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dolphi86 [110]
Yes! Let me help you!

Here is the original equation, lets solve this step-by-step

(x + 2)/4 = 5

Now, lets find out how. 

We must apply the inverse operation. 

4/2 is the reciprocal, so lets multiply that to both sides. 

4/2 = 2
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x = 12/4
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