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hichkok12 [17]
3 years ago
5

Explain how to find the value of z if you know that 100x*2 + 120x + z is a perfect square trinomial

Mathematics
2 answers:
maksim [4K]3 years ago
8 0
For perfect trinomial, determinant is zero.
Comparing given equation with general quadratic equation ax²+bx+c,

a=100, b=120, c=z
Δ=b²-4ac = 0
120²-4(100)(z) = 0
z=120²/4(100) = 36

Therefore, the required trinomial is,
100x²+120x+36
wariber [46]3 years ago
7 0
Divide the value of "b" by 2 and then square it.

   (b / 2)²
= (120 / 2)²
= (60)²
= 3600

Therefore the value of z is 3600. That's at least what I believe lol
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2 years ago
Simplify completely quantity x squared plus 4 x minus 45 all over x squared plus 10 x plus 9 and find the restrictions on the va
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Answer:

A) Quantity x minus 5 over quantity x plus 1, where x≠-1 and x≠-9

Step-by-step explanation:

\frac{x^2 + 4x - 45}{x^2 + 10x + 9}

Simplifying the numerator first:

x² + 4x - 45 using the quadratic formula you get;

(x - 5)(x + 9)

Then simplifying the denominator x² + 10x + 9 using a quadratic formula you get;

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Dividing the numerator and denominator now gives;

\frac{(x - 5)(x + 9)}{(x + 1)(x + 9)}

Cancelling (x + 9) throughout leaves you with;

\frac{x - 5}{x + 1}

The only restrictions here is if x = 1 and 9 which will give an undefined answer.

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3 years ago
Read 2 more answers
9 is 25% of what number?
Black_prince [1.1K]

Answer:

1. 36

2. 90

3. 9

4. 6

Step-by-step explanation:

4 0
2 years ago
Can someone please help me factor 3x^3-19x^2+33x-9
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Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 20. Find the prob
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Answer:

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Step-by-step explanation:

It is given that, it is normal distribution with mean 100 and SD as 20.

So, let's use the formula of z-score

z=\frac{x-mean}{SD}

For this problem,

x= 136

Plug in this value into the formula

z-score=\frac{136-100}{20}

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Now, use z-score table to find the probability

Find the corresponding value for the row 1.8 and the column 0.00, we do get 0.9641

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