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3 years ago

Need a lot of help please

Mathematics

1 answer:

frosja888 [35]3 years ago

7 0

First you need to find your total amount of marbles and this number will be your denominator (on the bottom).

8 + 14 + 12 = 34

Then you see how many black marbles are in the bag and this number will be your numerator (on the top).

The probability Jose will pick a black marble is 8/34 but you always reduce your fractions so the correct answer is 4/17.

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The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)

Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

$f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}$

Now, we have to find the quotient of the above expression.

So, here we go:

$Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)$

Now, we will divide the above simplest form with g(x):

$\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2$

Hence, the quotient is (x-2).

6 0

2 years ago

Read 2 more answers

A kite is flying 9.75 feet above a lamp post that is 84 2/3 feet tall. How high is the kitchen flying?

Elden [556K]

The kite is flying at the height of 94 5/2 feet.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.

= 9.75 +84 2/3 { 9+0.75 = 9.75 84 2/3}

= 9 + 0.75 +84 2/3 { a+b+c+d = a+c+b+d}

= 9 + 84 + 3/4 + 2/3

=93 + 3*3 / 4*3 + 4*2 / 4*3

= 93 + 9/12 + 8/12

= 93 + 17/12

= 93 + (1 + 5/12)

= 94 + 5/12

=94 5/12 feet

{kite height = (post height + the height of the kite above the post)

To learn more about addition from given link

brainly.com/question/24536701

#SPJ9

8 0

9 months ago

A gas has a volume of 5.0 L at a pressure of 50kPa. What happens to the volume when then the pressure is increased 125kPa. The t

Olegator [25]

9514 1404 393

Answer:

volume goes to 2.0 L

Step-by-step explanation:

At constant temperature, volume and pressure are inversely related. Increasing the pressure by a factor of 125/50 = 2.5 will cause the volume to be reduced by that factor.

volume = 5.0L / 2.5

volume = 2.0 L

7 0

2 years ago

Find the pattern: 1, 1/4, 1/9, 1/16, 1/25

alexandr1967 [171]

The sequence is not geometric or arithmetic because there is no common difference or common ratio between each term.
Not a Geometric or Arithmetic Sequence

8 0

2 years ago

1. Evan drove 308 km in the same time that Meghan drove 329 km. If Meghan drove

emmainna [20.7K]

Answer:

Her average speed is 94 km/h

Time taken is 3.5 hours

Step-by-step explanation:

Let Evan’s average speed be x km/h.

now since Meghan drove faster, according to the question, we can say her average speed would be x + 6 km/h

Mathematically, time = distance/speed

so; since time is the same; we have

308/x = 329/(x + 6)

cross multiply

329(x) = 308(x + 6)

329x = 308x + 1848

329x-308x = 1848

21x = 1848

x = 1848/21

x = 88 km/h

Meghan average speed = x + 6 = 88 + 6 = 94 km/h

Time taken would be 329/94 = 3.5 hours

8 0

2 years ago