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Rudiy27
2 years ago
9

Between which two ordered pairs does the graph of f(x) = x2 + x – 9 cross the negative x-axis? Quadratic formula: x =

Mathematics
2 answers:
katrin2010 [14]2 years ago
8 0
(-6,0) and (-5,0) I got it right
madreJ [45]2 years ago
5 0

Answer: It must be between two ordered pair i.e. (-4,0) and (-3,0).

Step-by-step explanation:

Since we have given that

Quadratic equation : x^2+x-9

First we use the quadratic formula to get the value of x:

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-1\pm\sqrt{1+36}}{2\times 1}\\\\x=\dfrac{-1\pm\sqrt{37}}{2}\\\\x=\dfrac{-1+\sqrt{37}}{2}\ or\ \dfrac{-1-\sqrt{37}}{2}\\\\x=2.54\ or\ -3.5

Since the negative root of x is -3.5.

So, it must be between two ordered pair as follows :

(-4,0) and (-3,0).

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Bb = brown hair phenotype

bb = black hair phenotype

we see that B = brown hair is the dominant gene while b = black hair is the recessive gene

----------------------------------

ll = short hair, this is a lowercase L

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In this case, l = short hair is the recessive gene while L = long hair is the dominant gene.

----------------------------------

Check out the diagram below to see the dihybrid crosses for each of the hair color and hair length genotypes. From there, I show all of the genotypes possible for any offspring. Those genotypes are

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  • Llbb  = long black hair (comes up 4 times)
  • llBb  = short brown hair (comes up 4 times)
  • llbb  = short black hair (comes up 4 times)

-----------------------------------

If we are talking about 1 offspring, then it is not possible for him/her to have both "long black hair AND short brown hair" as the instructions state. So let's consider two offspring instead.

The probability of having long black hair is 4/16 = 1/4 as there are 4 cases of Llbb out of 16 cases total. Similarly, the probability of getting llBb is 4/16 = 1/4 as well, for pretty much the same reasons.

The probability of having both events occur is (1/4)*(1/4) = 1/16

The multiplication of probabilities is valid because the two events are independent.

==============================================

<h3>Final Answer: A) 1/16</h3>

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