3 years ago

(4.4x10^-6)x(3.9x10^2) in correct scientific notation

Mathematics

1 answer:

ddd [48]3 years ago

5 0

Answer:

1.716*10^-3

Step-by-step explanation:

(4.4*10^-6)*(3.9*10^2)=0.001716

To convert 0.001716, we need to move the decimal places three places to the right to make sure the number is between 1 and 10. Moving three places to the right makes the exponent negative.

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Ignore my work but solve the problem and check. Thank you!!

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If x+a is a factor of 2x²+2ax+5x+10,find a.

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If $x+a$ is a factor of the polynomial, it means that $-a$ is a root of the polynomial.

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In your case, you know that the polynomial is divisible by $(x+a)=(x-(-a))$ , so $-a$ is a solution.

Let's evaluate $p(-a)$ and set it to zero:

$2(-a)^2+2a(-a)+5(-a)+10 = 0 \iff 2a^2-2a^2-5a+10=0 \iff -5a+10 = 0 \iff a = 2$

We can check the answer: if $a=2$ the polynomial becomes

$2x^2+2(2)x+5x+10 = 2x^2+9x+10$

And we're claiming that $-a=-2$ is a root of this polynomial:

$2(-2)^2+9(-2)+10 = 2\cdot 4 - 18 + 10 = 0$

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