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3 years ago

Simplify 3a^2b^3c^5 __________________ 8x^4y^3z

2 answers:

7 0

We have to rewrite the expression so that it has no denominator.
For example:
1 / x = x^(-1)
1/8 = 8^(-1); 1/x^(4) = x^(-4); 1/y^(3) = y^(-3); 1/z = z^(-1).
$\frac{3a ^{2} b ^{3}c ^{5} }{8 x^{4}y ^{3}z }= \\ =3 a^{2}b ^{3}c^{5}8^{-1}x ^{-4}y^{-3}z^{-1}$

tankabanditka [31]3 years ago

4 0

Answer:

$3 * 2^{-3}a^{2}b^{3}c^{5}x^{-4}y^{-3}z$

Step-by-step explanation:

you take away 8 and multiply and get 3a^2b^3c^5 * x^4y^3z or something

This becomes 3a^2b^3c^5x^-4y^-3z/8

Then you move the 8 up using multiplication and get -24a^2b^3c^5x^4y^3z

This can be simplifed as 3*2^-3a^2b^3c^5x^-4y^-3z

regardless that's the real answer.

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Graph the function f(x) = (x + 1)(x - 5). Use the drop-

hodyreva [135]

Answer:

3) (2,-9)

4) (0,-5)

5) (1,-8)

Step-by-step explanation:

The vertex will occur between you x-intercepts.

You already found that happens at x=2.

To find the corresponding y-coordinate, replace x in

f(x)=(x+1)(x-5) with 2:

f(2)=(2+1)(2-5)

f(2)=(3)(-3)

f(2)=-9

So the vertex is (2,-9).

The y-intercept is when x=0.

So in f(x)=(x+1)(x-5) replace x with 0:

f(0)=(0+1)(0-5)

f(0)=(1)(-5)

f(0)=-5

So the y-intercept is (0,-5).

To find another point just plug in anything besides any x already used.

We preferably want to use a value of x that will keep us on their grid however far up,down,left, or right their grid goes out. So I'm going to choose something close to the vertex which is at x=2. Let's go with x=1.

So replace x in f(x)=(x+1)(x-5) with x=1:

f(1)=(1+1)(1-5)

f(1)=(2)(-4)

f(1)=-8

So another point to graph is (1,-8).

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Answer:

The next time both will leave the bus station at the same time is 7:15 a.m.

Step-by-step explanation:

Since 15 and 75 are multiples to each other.

So, L.C.M. of 15 and 75 is 75.

So, after 75 minutes both buses will leave the station at the same time.

Also since buses begin their routes at 6 a.m.

So, next time they will meet at

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