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8090 [49]
3 years ago
10

2x to the fourth power + 5x squared + 3, factored

Mathematics
2 answers:
Murljashka [212]3 years ago
8 0
We want to factor:
2x^4+5x^2+3

This may seem tricky because of the high powers, but remember that x^4=(x^2)^2. Then we can factor it as:
2x^4+5x^2+3=(2x^2+3)(x^2+1)
Alexeev081 [22]3 years ago
8 0
(x squared+1)(2x squared+3)
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Determine which functions have two real number zeros by calculating the discriminant, b2 – 4ac. Check all that apply.
pantera1 [17]

Step-by-step explanation:

We need to write the function that have two real number zeros by calculating the discriminant i.e. b^2-4ac.

We know that,

If D>0  the roots are real and unequal

If D= 0 roots are real and equal

If D< 0 roots are imaginary or not real and unequal

Function (1)

f(x)=x^2 + 6x + 8\\\\D=6^2-4\times 1\times 8\\\\D=4

D>0  the roots are real and unequal

Function (2)

g(x)=x^2 + 4x + 8\\\\D=4^2-4\times 1\times 8\\\\D=-16

D<0  the roots are real and unequal

Function (3)

h(x)=x^2 -12x+32\\\\D=(-12)^2-4\times 1\times 32\\\\D=16

D>0  the roots are real and unequal

Function (4)

k(x)=x^2 +4x-1\\\\D=(4)^2-4\times 1\times (-1)\\\\D=20

D>0  the roots are real and unequal

Function (5)

p(x)=5x^2 +5x+4\\\\D=(5)^2-4\times 5\times 4\\\\D=-55

D<0  the roots are real and unequal

Function (6)

t(x)=x^2 -2x-15\\\\D=(-2)^2-4\times 1\times (-15)\\\\D=64

D>0  the roots are real and unequal

(1),(3),(4) and (6) have two real number zeroes.

5 0
2 years ago
A CD usually sells for $13.00. If the CD is 30% off, and sales tax is 5%, what is the total price of the CD, including tax?
Harlamova29_29 [7]

Answer:

$9.56

Step-by-step explanation:

$13.00 x .30 = 3.90

13.00 - 3.90 =  $9.10 x .05 = 0.46

$9.10 + 0.46 = 9.56

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3 years ago
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kifflom [539]
I'd say the answer would be 8. 
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The complement of an angle is 25°. What is the measure of the angle?
Jlenok [28]

Answer:

If the complement of an angle is 25 degrees, then the measurement of the angle will be 65 degrees.

4 0
2 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Line m has no y
goblinko [34]
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2 years ago
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