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2 years ago

Write a quadratic function in the standard form who’s graph satisfies the given conditions

Mathematics

1 answer:

Bogdan [553]2 years ago

4 0

Answer:

This is frankly impossible.

Step-by-step explanation:

What you have given me are three x-intercepts. And it is impossible for a quadratic function to have more than two roots. However, if this was an cubic function, we could multiply (x+5)(x-1)(x-4) which results in the equation which simplifies into x^3 -21x + 20. However, this is a cubic function, not a quadratic function, so something must be wrong with this problem all together.

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the area of a square whose sides have length x cm is increasing at the rate of 12cm²/s. how fast is the length of a side increas

katovenus [111]

Answer:

0.67 cm/s

Step-by-step explanation:

The area of a square is given by :

$A=x^2$ ....(1)

Where

x is the side of a square

$\dfrac{dA}{dt}=12\ cm^2/s$

Differentiating equation (1) wrt t.

$\dfrac{dA}{dt}=2x\times \dfrac{dx}{dt}$

When A = 81cm², the side of the square, x = 9 cm

Put all the values,

$12=2\times 9\times \dfrac{dx}{dt}\\\\\dfrac{dx}{dt}=\dfrac{2}{3}\\\\\dfrac{dx}{dt}=0.67\ cm/s$

So, the length of the side of a square is changing at the rate of 0.67 cm/s.

4 0

2 years ago

What is the standard form formula

vazorg [7]

Answer: The standard form of an equation is Ax + By = C. In this kind of equation, x and y are variables and A, B, and C are integers.

Explanation:

We can convert a point slope equation into standard form by moving the variables to the left side of the equation.

8 0

2 years ago

Which of the shaded regions below represents 3/5 of the whole circle

Norma-Jean [14]

Answer: B

Step-by-step explanation:

3 0

2 years ago

Beth says that the graph of g(x) = + 1 is a translation of 5 units to the left and 1 unit up of f(x) = . She continues to explai

Nata [24]

Beth's description of the transformation is incorrect

<h3>Complete question</h3>

Beth says that the graph of g(x)=x-5+1 is a translation of 5 units to the left and 1 unit up of f(x) = x. She continues to explain that the point (0,0) on the square root function would be translated to the point (-5,1) on the graph of g(x). Is Beth's description of the transformation correct? Explain

<h3>How to determine the true statement?</h3>

The functions are given as:

g(x) = x - 5 + 1

f(x) = x

When the function f(x) is translated 5 units left, we have:

f(x + 5) = x + 5

When the above function is translated 1 unit up, we have:

f(x + 5) + 1 = x + 5 + 1

This means that the actual equation of g(x) should be

g(x) = x + 5 + 1

And not g(x) = x - 5 + 1

By comparison;

g(x) = x - 5 + 1 and g(x) = x + 5 + 1 are not the same

Hence, Beth's description of the transformation is incorrect