2x + 4y = 12 y = x – 3 What is the solution to the system of equations?

1 answer:

8 0

2x+4y=12
y=x-3

Since we know what y equals, we can plug this into the first equation:
2x+4(x-3)=12
We can then distribute:
2x+4x-12=12
And solve for x:
6x-12=12
6x=24
x=4
We can then plug x into the second equation and find y:
y=x-3
y=4-3
y=1

Therefore x=4 and y=1

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If F(x) = 9x, which of the following is the inverse of Fx)?

Arturiano [62]

Answer:

F⁻¹(x) = x/9

Step-by-step explanation:

To find the inverse of a function, you want to switch x and y in the equation and solve for y.

F(x) = 9x

x = 9F(x)

x/9 = F⁻¹(x)

Therefore, the inverse is F⁻¹(x) = x/9.

5 0

3 years ago

Need help on both of them

Vlad1618 [11]

7) Write the decimal number as a fraction
(over 1)
2.18 = 2.18 / 1

Multiplying by 1 to eliminate 3 decimal places
we multiply top and bottom by 3 10's

Numerator (N)
N = 2.18 × 10 × 10 × 10 = 2180
Denominator (D)
D = 1 × 10 × 10 × 10 = 1000

N / D = 2180 / 1000

Simplifying our fraction

= 2180/1000

= 109/50

= 2 9/50

8) $7 ^{-5} = \frac{1}{7^{5}}$