Tommy's mom gave him $50 for cutting their grass. He used the money to buy a game for $15.75 and two snacks that cost $1.50 each
1 answer:
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Expression for the height of the prism is x + 2
<em><u>Solution:</u></em>
Given that,
To find: height of prism
<em><u>The volume of rectangular prism is given by formula:</u></em>
<em><u>Solving for height we get,</u></em>
<em><u>Substituting the values we get,</u></em>
<em><u>Factor the numerator</u></em>
Cancel the common factors,
Thus expression for the height of the prism is x + 2
Answer:
The binomial: (x-2) (second option of the list) is a factor of the given trinomial
Step-by-step explanation:
You are looking for two binomial factors of the form; (x+a) and (x+b), with values "a" and "b" such that:
Their product "a times b" results in: "+14" (the numerical term in the initial trinomial ,
and their combining "a+b" results in "-9" (the coefficient in the middle term of the trinomial)
Such number "a" and "b" are: "-2" and "-7".
We can see by multiplying the binomials formed with these numbers:
(x-2) and (x-7) that their product indeed renders the original trinomial:
therefore, the binomials (x-2) and (x-7) are factors of the given trinomial.
The only one shown among the four possible options is then: (x-2)