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3 years ago

Re-write the quadratic function below in Standard Form y= 6(x−9)2−3

Mathematics

1 answer:

Pie3 years ago

4 0

$y = 6 {x}^{2} - 108x + 483$

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So sorry to ask another question but I need some help-

Vika [28.1K]

Answer:

14x + 23

Step-by-step explanation:

The lengths of three sides of a triangle are 5x + 9 feet, 2x + 14 feet, and 7x feet.

The perimeter of a triangle: the sum of all of its sides.

5x + 9 + 2x + 14 + 7x

14x + 23

It's the expression of the perimeter of the triangle. Once you will be asked to find x, you'll probably be given the exact perimeter of the triangle.

7 0

2 years ago

Simply<br> tan 45°. sin 30° - cot 45°/sec 60°

dusya [7]

If we want to write the given four numbers in another form, we can write it like this;

$tan45=sin45/cos45=1$

$sin30=sin(\frac{\pi }{2}-60 )=cos60=\frac{1}{2}$

$cot45=cos45/sin45=1$

$sec60=1/cos60=\frac{1}{1/2} =2$

Now let's rewrite the given expression and get the result.

$(tan45.sin30)-(cot45/sec60)=(1.\frac{1}{2})-(\frac{1}{2} )=0$

5 0

1 year ago

Read 2 more answers

A spherical balloon is inflated so that its volume is increasing at the rate of 3 ft3/min. How fast is the diameter of the ballo

beks73 [17]

When an spherical balloon volume is increasing at the rate of $3ft^3/min$ then the diameter of the balloon is increasing $\frac{3}{2\pi }ft /min$

How can we find the rate of change of balloon's diameter ?

The volume of a spherical balloon is $v=\frac{4}{3} \pi r^3$

In form of diameter we can write as

$v=\frac{4}{3} \pi (\frac{D}{2} )^3\\=\frac{1}{6} \pi D^3$

Now we will differentiate both sides wrt to $t$ we get

$\frac{dv}{dt} =\frac{1}{6} \pi 3D^2 \frac{dD}{dt} \\\frac{dD}{dt} =\frac{2}{\pi D^2} \frac{dv}{dt} \\\\when r=1\\D=2ft$

Given in the question $\frac{dv}{dt} =3ft^3/min$

thus when we substitute the values we get

$\frac{dD}{dt} =\frac{2}{\pi *2^2} (3)\\\frac{dD}{dt}=\frac{3}{2\pi } ft/min$

Learn more about the differentiation here:

brainly.com/question/28046488

#SPJ4

3 0

2 years ago

G(n)= 2n-3 f(n)= 2n + 1 Find (g•f)(n)

Vitek1552 [10]

Answer:

Step-by-step explanation:

(2n -3)(2n+1) = 4n^2 + 2n - 6n - 3 = 4n^2 - 4n -3

6 0

3 years ago

Which expression is equivalent to 7x – 6?

victus00 [196]

B... juss combine like terms

5 0

3 years ago

Read 2 more answers