(-10x^2+2)+(-2x^2+9x+7)

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

5 0

Answer:

- 12x² + 9x + 9

Step-by-step explanation:

(- 10x² + 2) + (- 2x² + 9x + 7 ) ← remove parenthesis

= - 10x² + 2 - 2x² + 9x + 7 ← collect like terms

= - 12x² + 9x + 9

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A technician is installing two bundles of cables for an online system. Bundle A is 1

Mila [183]

Answer:

Answer D: 8.7 cm

Step-by-step explanation:

First compare the actual diameters of both cables to find out which one is larger. If we write both diameters in fraction form (as they are given), we need to have them expressed with the same denominator for a straight forward comparison:

Bundle A: $1\frac{3}{8} =1+\frac{3}{8} = \frac{8}{8} +\frac{3}{8} =\frac{11}{8}$

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So we multiply this last fraction by 2 in numerator and denominator to obtain the same denominator as for Bundle A without actually changing its numerical value: $\frac{11}{4} = \frac{22}{8}$

So now we compare Bundle A with bundle B, and see that bundle B has the larger diameter: 22/8 inches

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$\frac{22}{8} * \frac{25}{100} = 0.6875$ inches

Therefore, the hole must be of diameter 22/8 in plus 0.6875 in = 3.4375 in

Now we convert this value into centimeters by multiplying it by 2.54 (since one inch is 2.54 cm):

3.4375 * 2.54 = 8.73125 cm

which rounded to the nearest tenth as requested in the problem is: 8.7 cm

8 0

3 years ago

Two dice are tossed together. What is the probability of getting an odd number on the second die and a total of five?

wolverine [178]

Probability = (number of ways to succeed) / (total possible outcomes) .

The total possible results of rolling two dice is

(6 on the first cube) x (6 on the second one) = 36 possibilities.

How many are successful ? I need you to clarify something first.
You said that the 'second die' shows an odd number. When a pair
of dice is rolled, the problem usually doesn't distinguish between them.
And in fact, you said that they're "tossed together" (like a spinach and
arugula salad ?) so I would understand that they would lose their identity
unless they were, say, painted different colors, and we wouldn't know
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Oh well, I'll just work it both ways:

First way:
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How can that happen ?

1 ... 4
4 ... 1
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Four possibilities. Probability = 4/36 = 1/9 = 11.1% .

=======================================

Second way:
A black and a white cube are tossed together.
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How can that happen:

B ... W
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4 years ago

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guapka [62]

Answer:

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