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3 years ago

If (ax^2 + 3x + 2b) - (5x^2+bx-3c)=3x^2-9, what is the value of A + B + C?

Mathematics

1 answer:

Rina8888 [55]3 years ago

8 0

Answer:

We have the equation:

(ax^2 + 3x + 2b) - (5x^2+bx-3c)= 3x^2 - 9

First, move all to the left side.

(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0

Now let's group togheter terms with the same power of x.

(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.

This must be zero for all the values of x, then the things inside each parenthesis must be zero.

a - 5 - 3 = 0

a = 3 + 5 = 8.

3 - b = 0

b = 3.

2b + 3c + 9 = 0

2*3 + 3c + 9 = 0

3c = -6 - 9 = -15

c = -15/3 = -5

Then we have:

a = 8, b = 3, c = -5

a + b + c = 8 + 3 - 5 = 6

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ycow [4]

1/4 mile in 1/32 hr
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3 years ago

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the theoretical probability choosing a purple marble out of a 2/3 bag is. The bag has 16 purple marbles. How many marbles are in

algol [13]

Answer:

24 marbles

Step-by-step explanation:

P( purple) = 2/3 = purple/total

2/3 = 16/total

Using cross products

2 * total = 3 *16

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2 years ago

In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts. Find the probability t

torisob [31]

Answer:

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

Step-by-step explanation:

For each theft, there are only two possible outcomes. Either the need to buy drugs is the reason of the theft, or it is not. Each theft is independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts.

This means that $p = 0.7$

Find the probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

This is P(X = 3) when n = 7. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{7,3}.(0.7)^{3}.(0.3)^{4} = 0.0972$

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

5 0

2 years ago

Please help me with this and thank you

castortr0y [4]

Answer:

the correct answer is C. 45

Step-by-step explanation:

so 1/5 means there are 5 peice to make a whole...

so if you cut an apple into 5 parts, each slice of that apple is 1/5

so if you cut 9 apples into 5 slices its just multiplication...

5*9=45

**for my visual learners** in the parenthesis are groups of 5 sticks

( ///// ) **those are your apple slices** **now just do that exactly 9 times**

( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// )

5 10 15 20 25 30 35 40 45

i really hope this helps <3

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2 years ago

Find the exact solution of x x^2 = 16 X=4 No Solution x= +4 x=-4

8_murik_8 [283]

Answer:

x = 4

Step-by-step explanation:

x^2 = 4^2 = 16

4 0

2 years ago