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2 years ago

5q²-2/3(6q²-6q-3)+3q

Mathematics

2 answers:

ololo11 [35]2 years ago

7 0

Answer:

$q^2+7q+2$

Step-by-step explanation:

Check the attachment I added, hope it helps!

Alekssandra [29.7K]2 years ago

3 0

Simplified:q^2+7q+2

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Serga [27]

<u>Answer</u>

Center: (1,-12)

Radius: 5

$x^{2}$ + $y^{2}$ -2x+24y+120=0 (Subtract 120 on both sides and rearrange)

$x^{2}$ -2x+ $y^{2}$ +24y=-120 (Then divide 2 by 2 and square it. Do the same for 24.)

$x^{2}$ -2x+1+ $y^{2}$ +24y+144=-120+1+144 (You have to add the same numbers on both sides)

$(x-1)^{2} +(y+12)^2=25$ (Simplify)

So you would put (1,-12); r=5

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3 years ago

The account executive of a brokerage firm has recommended that one of her customers consider stock from five aerospace companies

soldier1979 [14.2K]

Answer:

180 ways

Step-by-step explanation:

Aerospace companies (A) = 5

Energy development companies (D) = 3

Electronics companies (E) = 4

Number of aerospace stocks bought (a) = 2

Number of Energy development stocks bought (d) = 2

Number of Electronics stocks bought (e) = 2

The number of ways that the investor can select his six investments from the recommended list is given by the combination of picking two out five aerospace companies, multiplied by picking two out three energy development companies, multiplied by picking two out four electronics companies:

$n=\frac{5!}{(5-2)!2!}*\frac{3!}{(3-2)!2!}*\frac{4!}{(4-2)!2!}\\ n=10*3*6\\n=180\ ways$

There are 180 ways for the investor to select the six companies.

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3 years ago

A dolphin in an aquarium is 12 feet long. A scale model of the dolphin is 3.5 inches long. What is the scale factor of the mode?

polet [3.4K]

Assuming the life sized dolphin is 12 ft long, what we want to know is what factor do you multiply 12 ft by to get 3.5 inches so converting this to an equation gives: 12*f=3.5 solving for f gives f=3.5/12=.29166...The units on the factor are inches/foot.

So to get the size if anything linear in the small scale you just multiply it's dimension in the full scale by f.

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3 years ago

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nikdorinn [45]

9/21 is not in the simplest form it can be simplified to 3/7

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4 years ago

What are the 2 inequality’s?

Westkost [7]

Answer:

y≥-1/3+2

y≥2/3-2

Step-by-step explanation:

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3 years ago