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3 years ago

What must be true about the discriminant of this quadratic equation for the mentioned values of k? Assume p>0.

1 answer:

4 0

1/(4p)(x-h)^2+k=0

1/(4p)(x-h)^2 = -k

k(4p)(x-h)^2+1=0

4kp (x^2 - 2xh + h^2) + 1 = 0

4kp x^2 - 8kph x + 4kph^2+1 = 0

D = (-8kph)^2 - 4(4kp)(4kph^2+1) = 64(kph)^2 - 64(kph)^2 - 16kp
D = -16kp < 0

SO discriminant is always less than 0

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Sally had 1000 photos to put into a photo album.She set 10 photos aside to place in frames.If her photo album fits 3 photos per

Kruka [31]

Answer:

Sally needed 330 pages of album to place her photos in it.

Step-by-step explanation:

Given:

Total number of photos = 1000

Number of photos kept aside to be place in frame = 10

Number of photos in per page of album = 3

We need to find the number of pages needed to place the photos in album.

Solution:

First we will find the number of photos to be place in album.

Now we know that she kept aside some photos which has to be frame framed.

So number of photos to be place in album can be calculated by Subtracting Number of photos kept aside to be place in frame from Total number of photos

framing in equation form we get;

number of photos to be place in album = 1000 - 10 = 990 photos

Now we will find number of pages needed to place the photos in the album.

number of pages needed to place the photos in the album can be calculated by dividing number of photos to be place in album with number of photos in per page of album.

framing in equation form we get;

number of pages needed to place the photos in the album = $\frac{990}{3}= 330\ pages.$

Hence Sally needed 330 pages of album to place her photos in it.

6 0

2 years ago

If the area of an equilateral triangle with sides of 4 ft. is 4 to the square root of 3 power, then the area of the regular hexa

Nikitich [7]

Answer:

24√3 square feet

80√3 cubic feet

Step-by-step explanation:

7 0

3 years ago

What is the answer to this

IRINA_888 [86]

Answer: 3

Step-by-step explanation:

y-3=2(x+1)

y - 3 = 2x + 2

+3. +3

y=2x+5

-1 is the x value so plug it in where the x is in the equation

y=2(-1) +5

y= -2 + 5

y= 3

5 0

2 years ago

A lot of 100 semiconductor chips contains 15 that are defective. three chips are selected at random from the lot without replace

Alex787 [66]

D=event that chip selected is defective
d=event that chip selected is NOT defective

Four possible scenarios for the first two selections:
P(DDD)=15/100*14/99*13/98=13/4620
P(DdD)=15/100*85/99*14/98=17/924
P(dDD)=85/100*15/99*14/99=17/924
P(ddD)=85/100*84/99*15/98=17/154

Probability of third selection being defective is the sum of all cases,
P(XXD)=P(DDD)+P(DdD)+P(dDD)+P(ddD)
=3/20

5 0

3 years ago

Calculate a and b if

const2013 [10]

Notice that

$7^{2014} - 7^{2012} = 7^{2012} \bigg(7^2 - 1\bigg) = 7^{2012} \times 48 = 2^4 \times 3 \times 7^{2012}$