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2 years ago

Solve the following for x:

Mathematics

1 answer:

taurus [48]2 years ago

3 0

Step-by-step explanation:

2x(squared)+9x+9=—1

2x(squared)+9x+9+1=0

2x(squared)+9x+10=0

multiply the coefficient of x and 10=2x10=20

2x(squared)+9x+10=0

look for two numbers that when added gives 9and when multiplied gives 20

2x(squared)+5x+4x+10=0

(2x(squared)+5x)+(4x+10)=0

find the number and letters that are common in the equations

x(2x+5)+2(2x+5)=0

(x+2) (2x+5)=0

x+2=0

collect like terms

x=0-2

x=-2

2x+5=0

collect like terms

2x=0-5

2x=-5

divide both sides by 2

2x/2=-5/2

x=-5/2

so x=-2 and -5/2

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If f(x)=2x^2+3x+1 and g(x)=x+5, what would f(g(x))

Fantom [35]

Answer: The answer is $2x^2+23x+66.$

Step-by-step explanation: The given functions are

$f(x)=2x^2+3x+1,\\\\g(x)=x+5.$

We are to find f(g(x)). To do this, first we need to evaluate g(x) and then we will apply the function f on the resulting function.

The evaluation is as follows:

$f(g(x))=f(x+5)=2(x+5)^2+3(x+5)+1=2(x^2+10x+25)+3x+15+1\\\\\Rightarrow f(g(x))=2x^2+23x+66.$

Thus, the correct answer is $2x^2+23x+66.$

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2 years ago

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PolarNik [594]

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3 years ago

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Find the amount of $8000 for 3 years,compounded annually at 5% per annum. Also ,find the compound interest

Triss [41]

Answer:

$9261

$1261

Step-by-step explanation:

Principal: $8000

Interest rate: 5% PA compounded annually

Time: 3 years