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3 years ago

Divide (-3х + 4 + 18х^2 )by (5 + 6x)

Mathematics

1 answer:

Leokris [45]3 years ago

5 0

Answer:

The division will be represented as:

$\frac{18x^{2}-3x+4}{6x+5}=(3x-3)+\frac{19}{6x+5}$

Step-by-step explanation:

1) Let's find a number with a variable that multiplied by 6x gives as 18x². It will be 3x, because (6x+5)3x=18x²+15x.

Now, let's subtstract:

$(18x^{2}-3x+4)-(18x^{2}+15x)=-18x+4$

2) Let's find a number with a variable that multiplied by 6x gives as -18x. It will be -3, because (6x+5)(-3)=-18x-15.

Now, let's subtstract:

$(-18x+4)-(-18x-15)=19$

Therefore, the division will be represented as:

$\frac{18x^{2}-3x+4}{6x+5}=(3x-3)+\frac{19}{6x+5}$

I hope it helps you!

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Given g(x) = 3x+3, find g(6)

Anarel [89]

Answer:

g(6)=21

Step-by-step explanation:

Given g(x)= 3x+3, Find g(6)

1. Replace g(x) with g(6), and x with 6. The equation will now look like this: g(6)=3(6)+3

2. Multiply 3 and 6, to equal 18. The equation will now look like this: g(6)=18+3

3. Add 18 and 3 to equal 21. The Answer is g(6)=21

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4 years ago

Suppose a family has three children of different ages. We assume that all combinations of boys and girls are equally likely. (a)

Ivan

Answer:

a) There are 8 possible combinations and each probability is 1/8.

b) The probability that it is a boy given that there are two girls is 3/8

Step-by-step explanation:

a) The sample space is given by:

BBB (3 boys)

BBG (Boy, boy, girl)

BGB (Boy, girl, boy)

BGG (Boy, girl, girl)

GBB (girl, boy, boy)

GBG (girl, boy, girl)

GGB (girl, girl, boy)

GGG (3 girls)

The probability of each combination is the same:

P(BBB)=P(B∩B∩B)= $\frac{1}{2} \frac{1}{2} \frac{1}{2}=\frac{1}{8}$

2) There are three possible combinations in which there are 2 girls and 1 boy:

BGG, GBG, GGB

So the probability is given by:

P(BGG ∪ GBG ∪ GGB)= $\frac{1}{2} \frac{1}{2} \frac{1}{2}+\frac{1}{2} \frac{1}{2} \frac{1}{2}+\frac{1}{2} \frac{1}{2} \frac{1}{2}=\frac{3}{8}$

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3 years ago

(75 POINTS) BRAINLIEST Graph g(x), where f(x) = 2x − 5 and g(x) = f(x + 1).

kogti [31]

Answer:

Graph g(x) = 2x - 3

Step-by-step explanation:

Plug in (x+1) to f(x) = 2x - 5:

g(x) = 2(x+1) - 5 = 2x + 2 - 5

g(x) = 2x - 3

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3 years ago

Deshaun rented a truck for one day. There was a base fee of $16.95, and there was an additional charge of 84 cents for each mile

Alex Ar [27]

Subtract the rental fee from the total:

237.03 - 16.95 = 220.08

Now divide the remainder by the charge per mile:

220.08 / 0.84 = 262

He drove 262 miles.

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3 years ago

It's on the picture below.

Step2247 [10]

Answer:

it means they have the same value, shape, and size.

Step-by-step explanation:

1/2 and 2/4 are the same cause they both are half. same shape and size just different numbers.

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3 years ago