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4 years ago

A function that can be written in the form f(x)=ax2+bx+c, where a, b & c are real numbers and a is not equal to zero.

1 answer:

7 0

Hello there!

I'm not exactly sure of what answer you are looking for, however,
f(x)=ax^2+bx+c represents a quadratic function.

Quadratic functions always have their highest exponent at 2, nothing more and nothing less.

Examples of quadratic functions are...
•x^2
•3x^2
•3x^2+2
•3x^2+2x
•3x^2+2x+1

I really hope this helps!
Best wishes:)

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suppose you win a contest at the start of 9th grade that deposited $3000 in an account that pays 5% annual interest compound con

tiny-mole [99]

A=pe^rt
A=3,000×e^(0.05×8)
A=4,475.47

5 0

3 years ago

Water is added to a cylindrical tank of radius 5 m and height of 10 m at a rate of 100 L/min. Find the rate of change of the wat

nirvana33 [79]

Answer:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

$\frac{dV}{dt}= \pi r^2 \frac{dh}{dt}$

And solving for $\frac{dh}{dt}$ we got:

$\frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}$

We need to convert the rate given into m^3/min and we got:

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

5 0

4 years ago

Translate the sentence into an equation. Seven times the sum of a number and 4 is equal to 9. Use the variable b for the unknown

zzz [600]

Answer:

7 ( b + 4 ) = 9

Step-by-step explanation:

Let the number be = b

It is given that the :

The number is added to 4.

And the value is equal to 9 when it is 7 times the sum of the number, b and 4.

Thus according to the question, the sentence can be translated in equation form as :

7 ( b + 4 ) = 9

Thus in other word, we can say that the addition of (b + 4) when it is multiplied for 7 times, we get the result as 9.

4 0

3 years ago

Martin says that f(x)=2(4)^x starts at 4 and has a constant ratio of 2. What error did Martin make? Explain.

grigory [225]

Answer:

A general exponential equation is written as:

f(x) = A*(r)^x

Where:

A is the initial value, this is the value that the function takes when x = 0.

r is the rate of growth

x is the variable.

In this case, the function is:

f(x) = 2*(4)^x

The initial value is:

f(0) = 2*(4)^0 = 2*1 = 2

The initial value is 2.

And the rate of growth is 4.

So Martin seems to mixed these two values (he said initial value = 4, and rate = 2, which is the opposite of what we found)

8 0

3 years ago

A/dc=b ,solve for a ---please help?!!

nydimaria [60]

Multiply dc over one on both sides on the left it’ll be cancelled out with a alone and on the right it would be b*dc - from a freshman

7 0

3 years ago