The best definition for the following phrase: combining like terms

1 answer:

4 0

Combining like terms would be defined as multiplying each term in a set of parentheses by the number outside of the parentheses.

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When Royal looked out at the Walmart parking lot, he noticed that for every 1 Lamborghini, there were 5 other types of vehicles.

Rufina [12.5K]

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i dint understand it is this for school?

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3 years ago

I don’t know how to solve this

Helen [10]

Answer:

hello :

Step-by-step explanation:

here is the solution

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3 years ago

The sum of three consecutive terms in an arithmetic sequence is 27, and their product is 585. find the three terms.

sammy [17]

$\text{the three consecutive terms in an arithmetic sequence}\\a;\ a+d;\ a+2d\\\\\text{system of equals}\\\\ \left\{\begin{array}{ccc}a+a+d+a+2d=27\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}3a+3d=27&|:3\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}a+d=9&\to d=9-a\\a(a+d)(a+2d)=585\end{array}\right\\$
$\text{substitute to the second equation}\\\\a(a+9-a)(a+2(9-a))=585\\\\a(9)(a+18-2a)=585\\9a(18-a)=585\ \ \ |:9\\a(18-a)=65\\18a-a^2=65\ \ \ |\text{change the signs}\\a^2-18a=-65\\a^2-2a\cdot9=-65\ \ \ |+9^2\\\underbrace{a^2-2a\cdot9+9^2}_{(a-b)^2=a^2-2ab+b^2}=-65+9^2\\(a-9)^2=16\to a-9\pm\sqrt{16}\\a-9=-4\ \vee\ a-9=4\ \ \ |+9\\a=5\ \vee\ a=13\\\\d=9-5=4\ \vee\ d=9-13=-4$
$Answer:\ a=5;\ a+d=9; a+2d=13\ vee\ a=13;\ a+d=9;\ a+2d=5$

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3 years ago

inysia [295]

Wlgptmdgns33wlgptmdgns33

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3 years ago

5b 2 −6b−2 is prime TURE OR FALSE!! 100 POINTS PLEASE HELP!!!!

Ivan

The given quadratic expression; 5b² -6b -2 is prime because the discriminant is not a perfect square.

<h3>What is the discriminant of the expression?</h3>

According to the task content; it is required to identify if the expression is prime.

On this note, it follows that the discriminant of the expression can be evaluated as follows;

= 36 -(4× 5 × -2)

= 76.

Hence, the expression is prime since 76 is not a perfect square.