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hjlf
4 years ago
8

Use the commutative property to simplify -7/16-1/4-5/16

Mathematics
1 answer:
Fiesta28 [93]4 years ago
6 0
Correct. Use the commutative property<span> to rearrange the expression so that compatible numbers are next to each other, and then </span>use the associative property<span> to group them. Incorrect. Check your addition and subtraction, and think about the order in which you are adding these numbers.</span>
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Which of the following is the complete factorization of 10x - 3 - 3x2? -(3x + 1)(x - 3) -(3x - 1)(x - 3) (3x - 1)(x + 3)
qaws [65]

Answer:

=-\left(3x-1\right)\left(x-3\right)

Step-by-step explanation:

10x-3-3x^2\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(3x^2-10x+3\right)\\\mathrm{Factor}\:3x^2-10x+3:\quad \left(3x-1\right)\left(x-3\right)\\3x^2-10x+3\\\mathrm{Write\:in\:the\:standard\:form}\:ax^2+bx+c\\=3x^2-10x+3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(3x^2-x\right)+\left(-9x+3\right)\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}3x^2-x\mathrm{:\quad }x\left(3x-1\right)\\3x^2-x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=3xx-x

\mathrm{Factor\:out\:common\:term\:}x\\=x\left(3x-1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-9x+3\mathrm{:\quad }-3\left(3x-1\right)\\-9x+3\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\=-3\cdot \:3x+3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(3x-1\right)\\=x\left(3x-1\right)-3\left(3x-1\right)\\\mathrm{Factor\:out\:common\:term\:}3x-1\\=\left(3x-1\right)\left(x-3\right)\\=-\left(3x-1\right)\left(x-3\right)

5 0
4 years ago
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Alenkasestr [34]

Answer:

Options (C) and (E).

Step-by-step explanation:

Rotation is a rigid transformation in which size and shape of the figure and image remains the same.

That means angles and sides of the triangles given in the figure will remain same after the transformations given.

Since, the given triangle has been rotated about a point Z, each rotation will share the vertex Z.

And every figure is the transformed form of the given triangle, all four triangles will be congruent.

Options (C) and (E) are the correct options.

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3 0
4 years ago
At the San Diego zoo there are five monkeys for every eighth elephants. There are 48 elephants how many monkeys are there use a
Aleks [24]

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7 0
4 years ago
-2(7a+ 9b) = –14a + [?]b
OverLord2011 [107]

Answer:

-18

Step-by-step explanation:

Left Hand Side = -2(7a + 9b) = -14a - 18b

Comparing it with Right Hand Side, ?  = -18

3 0
3 years ago
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