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2 years ago

Y^3-27=9y^2-27y how to factor

1 answer:

4 0

Hello! And thank you for your question!

First we are going to redo the equation:

y^3−3y^2(3)+3(y)×3^2−3^3=0

Then we are going to use Cube of Difference:

0 = (y - 3)^3

That take cube root of both sides:

0 = y - 3

Finally add 3 to both sides:

3 = y

Final Answer:

y = 3

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Starting at noon, the temperature dropped steadily at a rate of 0.08 degrees Celsius every hour.

dangina [55]

Answer:

a. 55 hours

b. 1.9 degrees C

Step-by-step explanation:

This means for each hour the temperature drops 0.08. This is the expression 0.08x where x is number of hours.

a.) If the temperature has dropped 4.4, then 4.4 = 0.08x. Solving for x will give the number of hours it takes to drop 4.4.

4.4 = 0.08x

4.4 / 0.08 = x

55 = x

b.) If the temperature after 55 hours and dropping 4.4 is -2.5, then the temperature at the start would be -2.5 + 4.4 = 1.9. The temperature at noon was 1.9 degrees celsius.

6 0

2 years ago

On a coordinate plane, 2 exponential fuctions are shown. Function f (x) decreases from quadrant 2 into quadrant 1 and approaches

Gala2k [10]

Answer:

$g(x)=6(3)^x$

Step-by-step explanation:

We are given that

$f(x)=6(\frac{1}{3})^x$

Function f decreases from quadrant 2 to quadrant 1 and approaches y=0

It cut the y- axis at (0,6) and passing through the point (1,2).

Function g(x) approaches y=0 in quadrant 2 and increases into quadrant 1.

It passing through the point (-1,2) and cut the y-axis at point (0,6).

Reflection across y- axis:

Rule of transformation is given by

$(x,y)\rightarrow (-x,y)$

Using the rule then we get

$g(x)=6(\frac{1}{3})^{-x}=6(3)^x$

By using

$x^{-a}=\frac{1}{x^a}$

Substitute x=-1

$g(-1)=6\times (\frac{1}{3})=2$

Substitute x=0

$g(0)=6$

Therefore, $g(x)=6(3)^x$ is true.

8 0

2 years ago

Read 2 more answers

Simplify to create an equivalent expression. 2(−n−3)−7(5+2n)

scoray [572]

First you distribute...
-2n - 6 - 35 - 14n
Then you simplify...
-16n - 41
Done

5 0

2 years ago

(2x^3-5x^2+8)(x+3)=?

Alla [95]

(2x³ - 5x² + 8)(x + 3) = ?
First step is to distribute.

2x^4 + 6x³ - 5x³ - 15x² + 8x + 24
Now combine like terms.

2x^4 + x³ - 15x² + 8x + 24

This is your answer, since you can't simplify any further or solve it without some more information.

8 0

3 years ago

Of the 8 students in the chess club, three will represent the club at an upcoming competition. How many different 3-person teams

xz_007 [3.2K]

I think that this is a combination problem. From the given, the 8 students are taken 3 at a time. This can be solved through using the formula of combination which is C(n,r) = n!/(n-r)!r!. In this case, n is 8 while r is 3. Hence, upon substitution of the values, we have

C(8,3) = 8!/(8-3)!3!
C(8,3) = 56

There are 56 3-person teams that can be formed from the 8 students.

6 0

2 years ago

Read 2 more answers