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3 years ago

Which of the following constants can be added to x2 + 2/3 x to form a perfect square trinomial?

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

8 0

Answer:

Step-by-step explanation:

Next time, please be sure to share the possible answer choices. Also, please use " ^ " to indicate exponentiation: x^2 + (2/3)x.

Let's actually "complete the square" here:

Starting with x^2 + (2/3)x, identify the coefficient of the x term (it is 2/3).

Take half of that, which results in 2/6, or 1/3.

Square this result, obtaining (1/3)^2 = 1/9.

Add to, and then subtract from, this square:

x^2 + (2/3)x + 1/9 - 1/9

Rewrite x^2 + (2/3)x + 1/9 as the square of a binomial:

(x + 1/3)^2 - 1/9

In review: add 1/9 to, and then subtract 1/9 from, x^2 + (2/3)x

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x3+3x2-x-3

Step-by-step explanation:

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3 years ago

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The table shows the value of an account x years after the account was opened. Based on the exponential regression model, which i

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Correct choice is B

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Then

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4 years ago

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If f(x) = (3+x)/ (x-3),what is f(a+ 2)?

balandron [24]

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3 years ago

Jack is trying to make extra money on his summer vacation from school. He works two different jobs, earning $9 per hour washing

Sveta_85 [38]

Answer:

$57

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Step-by-step explanation:

Given that:

Earnings per hour for washing cars = $9

Earnings per hour for walking dogs = $6

Number of hours for which car washing is done = $w$

Number of hours taken for walking dogs = $d$

Earnings for $w$ hours for washing cars = Per hour earnings multiplied by number of hours = $9 $w$

Earnings for $d$ hours for walking dogs = Per hour earnings multiplied by number of hours = $6 $d$

Total earnings by both = $( $9w+6d$ )

Now, given that

Number of hours spent washing cars = 5 hours

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Therefore, total earnings by both = 9 $\times$ 5 + 6 $\times$ 2 = <em>$57</em>

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3 years ago