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4 years ago

Determine the inverse function of the following functions: [i] f(x) = 5x - 7 [/i]

Mathematics

1 answer:

Blababa [14]4 years ago

8 0

Fx=5x_ 7/I is a fowards number so say+1 and5x_7= youneed a second number it is2 when u = so 2

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What is the mode of the set of numbers?<br><br> 2, 2, 3, 4, 4, 5, 7, 7, 7, 10, 16, 17

Ganezh [65]

Answer:

It is 7

Step-by-step explanation:

6 0

3 years ago

You have $30 to buy muffins. However, at the shop you can buy 1 muffin for $4. (a) Write an inequality from the above informatio

sattari [20]

Answer:

Let m be the number of muffins.

a) 4m <= 30

b) m <= 7.5, so the maximum number of muffins to buy is 7.

c) $4 × 7 = $28, so $2 will be left over.

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2 years ago

Here is a pattern made from sticks:

oee [108]

Answer:

maybe like 12

Step-by-step explanation:

I would think 12 because because it is 2 of the square so I think 6 + 6 correct me of I'm wrong.

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3 years ago

What is the equation of the line that passes through the point (-4,1) and has a<br> slope of -3/4

Rashid [163]

Answer:

y = -3/4x - 2

Step-by-step explanation:

y = -3/4x + b

1 = (-3/4) × -4 + b

1 = 3 + b

-2 = b

b = -2

y = -3/4x -2

8 0

3 years ago

The amount A of the radioactive element radium in a sample decays at a rate proportional to the amount of radium present. Given

slavikrds [6]

Answer:

a) $\frac{dm}{dt} = -k\cdot m$ , b) $m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$ , c) $m(t) = 10\cdot e^{-\frac{t}{2438.155} }$ , d) $m(300) \approx 8.842\,g$

Step-by-step explanation:

a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

$\frac{dm}{dt} = -k\cdot m$

b) The general solution is found after separating variables and integrating each sides:

$m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$

Where $\tau$ is the time constant and $k = \frac{1}{\tau}$

c) The time constant is:

$\tau = \frac{1690\,yr}{\ln 2}$

$\tau = 2438.155\,yr$

The particular solution of the differential equation is:

$m(t) = 10\cdot e^{-\frac{t}{2438.155} }$

d) The amount of radium after 300 years is:

$m(300) \approx 8.842\,g$

4 0

3 years ago

Read 2 more answers