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stellarik [79]
3 years ago
5

If 7 is subtracted from the product of 3 and a number, the result is 5 more than the number.

Mathematics
1 answer:
guajiro [1.7K]3 years ago
8 0
If you subtract 3-7 and add 9 to it the result is 5. 3-7+9=5
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What is the third term in the binomial expansion of (3x y3)4? 54x2y3 18x2y3 18x2y6 54x2y6.
hjlf

From the simplified form of the expression, the third term on expansion is 54x^2y^6

Given the expression (3x + y^3)^4

  • For binomial expansion, the power of 3x will be decreasing while y^3 will be increasing.

On expansion, the resulting expression will be:

  • =(3x + y^3)^4\\=(3x)^4(y^3)^0 + 4 (3x)^3(y^3)^1 + 6(3x)^2(y^3)^2 + 4(3x)^1(y^3)^3 + (3x)^0(y^3)^4\\

Simplify the result to have:

  • =81x^4+81x^3y^3+54x^2y^6+12xy^9+y^{12}

From the simplified form of the expression, the third term on expansion is 54x^2y^6

Learn more on binomial expansion here: brainly.com/question/13800206

8 0
3 years ago
What is the slope of the line through (-9,6) and (-6,-9)
Juliette [100K]

\text{The slope formula:}\ m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{We have:}\\(-9;\ 6)\to x_1=-9;\ y_1=6\\(-6;\ -9)\to x_2=-6;\ y_2=-9\\\\\text{substitute:}\\\\m=\dfrac{-9-6}{-6-(-9)}=\dfrac{-15}{-6+9}=\dfrac{-15}{3}=-5

Answer: m = -5

7 0
3 years ago
If you apply for a job with Globo Corp, there is a 75% chance that you will get an interview.
aivan3 [116]

Answer:

The probability that you will get the job If you apply for a job with Globo Corp=0.36

Step-by-step explanation:

We are given that

If you apply for a job with Globo Corp, then the probability of getting interview P(A)=75%=0.75

If you get an interview, then the probability of getting job=P(B)=48%=0.48

We have to find the probability that you will get the job If you apply for a job with Globo Corp.

If you apply for a job with Globo Corp, the probability of getting job=P(A)\times P(B)

If you apply for a job with Globo Corp, the probability of getting job=0.75\times 0.48

If you apply for a job with Globo Corp, the probability of getting job=0.36

Hence, the probability that you will get the job If you apply for a job with Globo Corp=0.36

6 0
3 years ago
How do I search up friends here?
navik [9.2K]

Answer:

I don't think you can..

Step-by-step explanation:

8 0
3 years ago
The expression p/x^2 - 5x +6 simplifies to x+4/x-2. Which expression doees p represent?
gladu [14]
We know that
(ad)/(bd)=d/d time a/b=a/b since d's cancel
also
if a/b=c/d in simplest form, then a=c and b=d

we have
p/(x^2-5x+6)=(x+4)/(x-2)
therefor

p/(x^2-5x+6)=d/d times (x+4)/(x-2)
p/(x^2-5x+6)=d(x+4)/d(x-2)

therefor
p=d(x+4) and
x^2-5x+6=d(x-2)

we can solve last one
factor
(x-6)(x+1)=d(x-2)
divide both sides by (x-2)
[(x-6)(x+1)]/(x-2)=d
sub


p=d(x+4)
p=([(x-6)(x+1)]/(x-2))(x+4)
p= \frac {(x-6)(x+1)(x+4)}{(x-2)}

7 0
3 years ago
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