Simplify for ez fast points!

Mathematics

1 answer:

andrey2020 [161]2 years ago

8 0

Answer:

-81

Step-by-step explanation:

-3 ^4

The negative is not included in the exponent

- (3)^4

- 3*3*3*3

-81

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A caterer prepares twice as many pizzas as she usually prepares for a large party. The caterer usually prepares 6 pizzas. The ca

Blizzard [7]

Answer:

Step-by-step explanation:

e caterer also estimates that each party guest will eat 1/3 of a pizza. ... arrenhasyd and 2 more users found this answer helpful ... Part of pizza will eat by each party guest is given by. \frac{1}{3}. As we have given that a caterer prepares 3 times as many pizzas as she usually prepares for a large party,.

4 0

3 years ago

The line that contains the point Q( 1, -2) and is parallel to the line whose equation is

Triss [41]

Let's call this line y=mx+C, whereby 'm' will be its gradient and 'C' will be its constant.

If this line is parallel to the line you've just mentioned, it will have a gradient 2/3. We know this, because when we re-arrange the equation you've given us, we get...

$y-4=\frac { 2 }{ 3 } \left( x-3 \right) \\ \\ y-4=\frac { 2 }{ 3 } x-2\\ \\ y=\frac { 2 }{ 3 } x-2+4\\ \\ y=\frac { 2 }{ 3 } x+2$

So, at the moment, our parallel line looks like this...

y=(2/3)*x + C

However, you mentioned that this line passes through the point Q(1, -2). If this is the case, for the line (almost complete) above, when x=1, y=-2. With this information, we can figure out the constant of the line we want to find.

-2=(2/3)*(1) + C

Therefore:

C = - 2 - (2/3)

C = - 6/3 - 2/3

C = - 8/3

This means that the line you are looking for is:

y=(2/3)*x - (8/3)

Let's find out if this is truly the case with a handy graphing app... Well, it turns out that I'm correct.