Please help will mark brainliest

Mathematics

1 answer:

Lynna [10]3 years ago

6 0

Z^5/8

You can tell this because exponents get added together when multiplying and the fact that the fraction goes down by a multiple of 1/8.

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How do i solve this because I need some help. I'm studying for my test.

mote1985 [20]

At Gino's you pay $16 plus $8 per pizza.
At Venetian's you pay $24 plus $6 per pizza.
Let the number of pizzas be x.

At Gino's you pay 16 + 8x
At Venetian's you pay 24 + 6x

Set the two costs equal and solve for x to find out the number of pizzas for which both costs are the same.

16 + 8x = 24 + 6x
16 + 2x = 24
2x = 8
x = 4
Each place gives you a free pizza.
4 pizzas plus the free pizza equals 5 pizzas.

If you need 5 pizzas (including the free one), both parlors cost the same.

If you need fewer than 5 pizzas, use Gino's.
If you need more than 5 pizzas, use Venetian's.

7 0

3 years ago

Question 2 2.1 2.2 2.2.1 2.2.2 Determine the general solution for sin(x - 30°) = cos 2x Consider the functions f(x) = sin(x-30°)

OLEGan [10]

The general solution for the given equation is 40°+120°n.

The period of g(x) is π.

The range of f(x) is [-1, 1].

sin(x-30°) = cos 2x
sin(x-30°) = sin(90°-2x)
(x-30°) = (90°-2x) + 360°n
x + 2x = 90° + 30° + 360°n
3x = 120° + 360°n
x = (120° + 360°n)/3
The general solution (x) is 40° + 120°n.

g(x) = cos 2x
The period of cos x is 2π.
If the multiplying factor of x is 'n', then it decreases the period by n times.
Here, in g(x), n is 2.
The period of g(x) is equal to half the period of cos x.
The period of g(x) = 2π/2
The period of g(x) is π.