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3 years ago

What does the notation f prime of x mean?

1 answer:

8 0

F ' (x) represents the derivative of a function. Primarily used in calculus, the derivative is the rate of change on a nonlinear system.
If you recall from linear algebra, lines have a slope, as they have a constant rate of change (and the slope was defined as 'm' in y=mx+b).
Curved systems (like parabola and other complex functions) have varying rates of change, requiring the use of the derivative of a function.

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The spinner below is divided into 5 equal sections. What is the probability of landing on a red or green section?

Artyom0805 [142]

Fraction: 2/5

Percentage: 40%

Decimal: 0.4

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3 years ago

Solve 7x/3<2 {X I X<6/7} {X I X>6/7} {X I X<-14/3} {X I X>-14/3}

Vladimir79 [104]

Answer:

x<6/7

Step-by-step explanation:

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2 years ago

12+root of 35 divided by 2 + 12-2 root of 35 divided by 2

nadya68 [22]

So : $12+ \frac{\sqrt{35}}{2} + \frac{12-2 \sqrt{35} }{2}$ ?

First, you want to bring everything together on the top of the fraction.
12=24/2 so you can have $\frac{24+ \sqrt{35}+12-2 \sqrt{35} }{2}$

Add like terms -- 12 +24 = 36 $\sqrt{35}-2 \sqrt{35} = \sqrt{35}$

Now we are at $\frac{24+ \sqrt{35} }{2}$ Which is the lowest possible simplified version while remaining at exact value.

Feel free to check my math! I kinda did this off the top of my head.

8 0

2 years ago

Question 4 (1 point) (-7x + 5) - (-82 – 6) =

Keith_Richards [23]

no ye puedo ayudar amigo o amiga

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2 years ago

Carla wants to start a college fund for her daughter Lila. She puts $63,000 into an account that grows at a rate of 2.55% per ye

Oksanka [162]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 63000

r = 2.55% = 2.55/100 = 0.0255

n = 12 because it was compounded 12 times in a year.

Therefore, function, C(t), that represents the amount of money in the account t years after the account is opened is

C(t) = 63000(1 + 0.0255/12)^12t

C(t) = 63000(1.002125)^12t

For C(t) = 100000,

100000 = 63000(1.002125)^12t

100000/63000 = (1.002125)^12t

1.587 = 1.002125)^12t

Taking log of both sides

Log 1.587 = log 1.002125)^12t

Log 1.587 = 12tlog 1.002125)^

0.2005 = 12t × 0.00092

0.2005 = t × 0.01104

t = 0.2005/0.01104

t = 18.16 years

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3 years ago