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1 year ago

Factor Completely: 10x + 15

Mathematics

2 answers:

Volgvan1 year ago

5 0

Answer:

5(2x + 3)

Step-by-step explanation:

\begin{gathered}10x + 15 \\ \\ = 2 \times 5 \times x + 3 \times 5 \\ ( take \: common \: factors \: out )\\ = 5(2 \times x + 3) \\ \\ = 5(2x + 3)\end{gathered}

10x+15

=2×5×x+3×5

(takecommonfactorsout)

=5(2×x+3)

=5(2x+3)

tankabanditka [31]1 year ago

3 0

Answer:

5(2x + 3)

Step-by-step explanation:

$10x + 15 \\ \\ = 2 \times 5 \times x + 3 \times 5 \\ ( take \: common \: factors \: out )\\ = 5(2 \times x + 3) \\ \\ = 5(2x + 3)$

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Korvikt [17]

Answer:

I believe the answer is A. 15-(3xy)

Step-by-step explanation:

The expression you are given is 15-(yx3) and option A is 15-(3xy). All they did was flip the values in the parentheses. It doesen't matter what value is first because the negative sign will be distributed to everything in the parentheses.

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2 years ago

Write the following using algebraic notation, using the letter x for any unknown numbers:

Mnenie [13.5K]

Answer:

$\dfrac{x+7}{5}$

Step-by-step explanation:

The given statement is "I think of a number, add seven then divide by five".

Let the unknown number be x.

Now, add 7 to the number = x+7

If we divided them by 5, $\dfrac{x+7}{5}$ .

So, the required algebraic notation is $\dfrac{x+7}{5}$ .

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2 years ago

Jake has a rectangular garden that measures 12 feet by 14 feet. He wants to increase the area by 50% and plans to increase each

emmasim [6.3K]

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

$x\approx 2.9ft$

<h2>Explanation:</h2><h2 />

First of all, let's calculate the area of the original rectangular garden:

$A=b\times h \\ \\ b:base \\ \\ h:height \\ \\ \\ b=12ft \\ \\ h=14ft \\ \\ \\ A=12(14) \\ \\ A=168ft^2$

Jake wants to increase the area by 50%, so the new area would be:

$A'=168(1.5) \\ \\ A'=252ft^2$

He wants to increase the area by 50% and plans to increase each dimension by equal lengths, x, so this is represented by the figure below, therefore:

$(12+x)(14+x)=252 \\ \\ 168+12x+14x+x^2-252=0 \\ \\ x^2+26x-84=0 \\ \\ \\ Using \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ \\ b=26 \\ \\ c=-84 \\ \\ \\ x=\frac{-26 \pm \sqrt{26^2-4(1)(-84)}}{2(1)} \\ \\ x=\frac{-26 \pm \sqrt{1012}}{2} \\ \\ \\ Two \ solutions: \\ \\ x_{1}=-13+\sqrt{253} \approx 2.9\\ \\ x_{2}=-13-\sqrt{253} \approx -28.9 \\ \\ x_{2} \ is \ discarded \ because \ it \ can't \ be \ negatives$

Finally:

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

$x\approx 2.9ft$

<h2>Learn more:</h2>

Dilation: brainly.com/question/10945890

#LearnWithBrainly