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Tamiku [17]
3 years ago
7

Simplify (3 - 2x + 2x2) + (4x - 5 + 3x2)

Mathematics
2 answers:
Gnoma [55]3 years ago
7 0

Answer:

(2x+7) + (4x+1)

Step-by-step explanation:

(3-2x+4) + (4x-5+6)

(2x+7) + (4x+1)

jok3333 [9.3K]3 years ago
3 0

Step-by-step explanation:

3 - 2x + 2x² + 4x - 5 + 3x²

2x² + 3x² -2x + 4x +3 -5

= 5x² + 2x -2

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4 0
3 years ago
What is the value of the expression below when y 8 and z = 8? 9y + 3z​
aleksley [76]

Answer:

96

Step-by-step explanation:

8y+3z

9(8)+3(8)

72+24

96

6 0
3 years ago
For one toss of a certain coin, the probability that the outcome is heads is 0.6. If this coin is tossed 5 times, which of the f
pishuonlain [190]

Answer:

The probability is 0.33696

Step-by-step explanation:

The probability that the outcome will be heads x times is calculated using the following equation:

P(x) = nCx*p^{x} *(1-p)^{n-x}

nCx is calculated as:

nCx=\frac{n!}{x!(n-x)!}

This apply for variables that follows a binomial distribution. In which we have n independent and identical events with two possibles results: success and fail with a probability p and 1-p respectively.

So, In this case, n is equal to 5, and p is equal to 0.6 because we are going to call success the event in which the outcome of the coin is head.

Then, the probability that the outcome will be heads at least 4 times is calculated as:

P = P(4) + P(5)

Where P(4) is:

P(4) = 5C4*0.6^{4} *(1-0.6)^{5-4}

P(4)=0.2592

And P(5) is:

P(5) = 5C5*0.6^{5} *(1-0.6)^{5-5}

P(4)=0.07776

Finally, the probability is:

P = 0.2592 + 0.07776

P = 0.33696

5 0
3 years ago
If g=77cm and h=85cm what is the length of f
umka2103 [35]
The first thing you need to do is add and then subtract
5 0
2 years ago
Given the Homogeneous equation x^2ydy+xy^2dx=0, use y=ux, u=y/x and dy=udx+xdu to solve the differential equation. Solve for y.
scZoUnD [109]

Answer:

y=\frac{C}{x}.

Step-by-step explanation:

Given homogeneous equation

x^2ydy+xy^2dx=0

\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{xy^2}{x^2y}

Substitute y=ux , u=\frac{y}{x}

\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{y}{x}

Now,

u+x\frac{\mathrm{d}u}{\mathrm{d}x}=\frac{\mathrm{d}y}{\mathrm{d}x}

u+x\frac{\mathrm{d}u}{\mathrm{d}x}=-u

\frac{\mathrm{d}u}{\mathrm{d}x}=-2u

\frac{du}{u}=-\frac{dx}{x}

Integrating both side we get

lnu=-2lnx+lnC

Where lnC= integration constant

lnu+ln{x}^2=lnC

lnux^2=lnC

Cancel ln on both side

ux^2=C

Substitute u=\frac{y}{x}

Then we get

xy=C

y=\frac{C}{x}.

Answer:y=\frac{C}{x}.

8 0
3 years ago
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