3 years ago

What is the axis of symmetry for the following equation? y=4x2-8x+9

Mathematics

1 answer:

Molodets [167]3 years ago

6 0

Answer:x=1

Step-by-step explanation:

The x of the top of the parabola is:

x=-(-8)/(2*4)=1

x=1

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The area of a rectangular closet is 8 square feet. The perimeter is 12 feet. What are the

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A=8ft^2
A=l•w
8=l•w
l=8/w

P=2(l+w)
12=2(8/w+w)
12=2(8/w+w/1)
12=2(8/w+w^2/w)
12=16w^2/w
12=16w
w=12/16
w=3/4=0.75ft
l=8/0.75=10.67ft

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3 years ago

How do I put this rational expression in simplest form? Steps please!!!!

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4.
b^-2-x^-2/b^-1+x^-1

b^-2/b^-1=b^-1
x^-2/x^-1=x^-1
As a result, the simplest form is:
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3 years ago

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Express 125% as a decimal

timurjin [86]

Answer:

1.25

Step-by-step explanation:

Move the decimal place two spaces left to go from a percentage to a decimal. 125.0% becomes 1.25.

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3 years ago

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Two scientists are running experiments on the same type of bacteria in different control groups. The results are shown in the gr

kondaur [170]

Answer:

B, "The graph of g(x) will eventually exceed the graph of f(x)."

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A fireplace arch is to be constructed in the form of a semiellipse. The opening is to have a height of 3 feet at the center and

USPshnik [31]

Answer:

Step-by-step explanation:

Given

Fireplace is in the form of semi-ellipse with height of 3 ft from center

Length of base=8 ft

if the arch is in the form of ellipse then it can be considered as horizontal ellipse with 2 a and 2 b be length of major and minor axis

2 a =8

a=4 ft

If contractor cover the whole base

then total length of string=2a =8 ft

(b)String should be nailed at focus

focus of ellipse is a e

where e=eccentricity

$e=\sqrt{1-(\frac{b}{a})^2}$

$e=\sqrt{1-(\frac{3}{4})^2}=\frac{\sqrt{7}}{4}$

Focus $=ae =\sqrt{7}$

Thus string should be nailed at 2.64 m from center

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3 years ago