QuestionDetermine the true statement for $x=-5$ : $x^{2}+10$ , $x+x+x$ are equal, or one is greater than the other.

Studdy Solution

STEP 1

Assumptions1. We are given that $x = -5$ . We are asked to compare the expressions $x^{}+10$ and $x+x+x$

STEP 2

First, let's simplify the right-hand side expression $x+x+x$ .
$x+x+x =x$

STEP 3

Now, plug in the given value for $x$ into the simplified right-hand side expression to calculate its value.
$3x =3(-5)$

STEP 4

Calculate the value of the right-hand side expression.
$3x =3(-) = -15$

STEP 5

Now, let's plug in the given value for $x$ into the left-hand side expression $x^{2}+10$ to calculate its value.
$(x^{2}+10) = ((-5)^{2}+10)$

STEP 6

Calculate the value of the left-hand side expression.
$(x^{2}+10) = ((-5)^{2}+10) =25 +10 =35$

STEP 7

Now that we have the values of both expressions, we can compare them.The left-hand side expression $x^{2}+10$ is equal to35 and the right-hand side expression $x+x+x$ is equal to -15.
Therefore, the statement $x^{2}+10 > x+x+x$ is true when $x = -5$ .

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QuestionDetermine the true statement for $x=-5$ : $x^{2}+10$ , $x+x+x$ are equal, or one is greater than the other.

Studdy Solution

STEP 1

Assumptions1. We are given that $x = -5$ . We are asked to compare the expressions $x^{}+10$ and $x+x+x$

STEP 2

First, let's simplify the right-hand side expression $x+x+x$ .
$x+x+x =x$

STEP 3

Now, plug in the given value for $x$ into the simplified right-hand side expression to calculate its value.
$3x =3(-5)$

STEP 4

Calculate the value of the right-hand side expression.
$3x =3(-) = -15$

STEP 5

Now, let's plug in the given value for $x$ into the left-hand side expression $x^{2}+10$ to calculate its value.
$(x^{2}+10) = ((-5)^{2}+10)$

STEP 6

Calculate the value of the left-hand side expression.
$(x^{2}+10) = ((-5)^{2}+10) =25 +10 =35$

STEP 7

Now that we have the values of both expressions, we can compare them.The left-hand side expression $x^{2}+10$ is equal to35 and the right-hand side expression $x+x+x$ is equal to -15.
Therefore, the statement $x^{2}+10 > x+x+x$ is true when $x = -5$ .

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QuestionDetermine the true statement for x=−5x=-5x=−5: x2+10x^{2}+10x2+10, x+x+xx+x+xx+x+x are equal, or one is greater than the other.

Studdy Solution

STEP 1

Assumptions1. We are given that x=−5x = -5x=−5 . We are asked to compare the expressions x+10x^{}+10x+10 and x+x+xx+x+xx+x+x

STEP 2

First, let's simplify the right-hand side expression x+x+xx+x+xx+x+x.x+x+x=xx+x+x =xx+x+x=x

STEP 3

Now, plug in the given value for xxx into the simplified right-hand side expression to calculate its value.3x=3(−5)3x =3(-5)3x=3(−5)

STEP 4

Calculate the value of the right-hand side expression.3x=3(−)=−153x =3(-) = -153x=3(−)=−15

STEP 5

Now, let's plug in the given value for xxx into the left-hand side expression x2+10x^{2}+10x2+10 to calculate its value.(x2+10)=((−5)2+10)(x^{2}+10) = ((-5)^{2}+10)(x2+10)=((−5)2+10)

STEP 6

Calculate the value of the left-hand side expression.(x2+10)=((−5)2+10)=25+10=35(x^{2}+10) = ((-5)^{2}+10) =25 +10 =35(x2+10)=((−5)2+10)=25+10=35

STEP 7

Now that we have the values of both expressions, we can compare them.The left-hand side expression x2+10x^{2}+10x2+10 is equal to35 and the right-hand side expression x+x+xx+x+xx+x+x is equal to -15.Therefore, the statement x2+10>x+x+xx^{2}+10 > x+x+xx2+10>x+x+x is true when x=−5x = -5x=−5.

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QuestionDetermine the true statement for $x=-5$ : $x^{2}+10$ , $x+x+x$ are equal, or one is greater than the other.

Assumptions1. We are given that $x = -5$ . We are asked to compare the expressions $x^{}+10$ and $x+x+x$

First, let's simplify the right-hand side expression $x+x+x$ .
$x+x+x =x$

Now, plug in the given value for $x$ into the simplified right-hand side expression to calculate its value.
$3x =3(-5)$

Calculate the value of the right-hand side expression.
$3x =3(-) = -15$

Now, let's plug in the given value for $x$ into the left-hand side expression $x^{2}+10$ to calculate its value.
$(x^{2}+10) = ((-5)^{2}+10)$

Calculate the value of the left-hand side expression.
$(x^{2}+10) = ((-5)^{2}+10) =25 +10 =35$

Now that we have the values of both expressions, we can compare them.The left-hand side expression $x^{2}+10$ is equal to35 and the right-hand side expression $x+x+x$ is equal to -15.
Therefore, the statement $x^{2}+10 > x+x+x$ is true when $x = -5$ .