Answer:
Domain (-4,6)
Range(5,0)
Step-by-step explanation:
Point F = (-2,-3); Apply the midpoint formula, (x1+x2/2),(y1+y2/2) = (x,y).
-6+2/2
-4/2
x=-2
-2+(-4)/2
-6/2
y=-3
(x,y)=(-2,-3)
Answer: Choice C
The probability of getting all heads is the same as the probability of getting all tails
=========================================================
Explanation:
H = heads
T = tails
In the first row, we have HHH to signify three heads. This shows up 1 time out of 8 outcomes total (each row is a different outcome). The probability of getting HHH is 1/8.
In the last row, TTT means we got three tails. Like with HHH, it only shows up once out of eight times, so the probability of getting TTT is 1/8 as well.
Therefore, both HHH and TTT have the same probability. This is because both sides of the coin have equal chances to land on. If the coin was more biased toward heads for example, then HHH and TTT would have different probabilities.
Answer:
6.79
Step-by-step explanation:
you just divide 27.16 (the cost) by 4 (how many sandwiches were purchased)
So the rule with multiplying exponents of the same base is 
. Apply this rule here:
Next, the rule with converting negative exponents into positive ones is 
. Apply this rule here:
<u>Your final answer is 1/49.</u>
<h2>------------------------------------------------</h2>
So an additional rule when it comes to exponents is ![x^{\frac{m}{n}}=\sqrt[n]{x^m}](https://tex.z-dn.net/?f=%20x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%5Em%7D%20)
In this case, your fractional exponent, x^9/7, would be converted to ![\sqrt[7]{x^9}](https://tex.z-dn.net/?f=%20%5Csqrt%5B7%5D%7Bx%5E9%7D%20)
. However, I had just realized you can further expand this.
Remember the rule I had mentioned earlier about multiplying exponents of the same base? Well, you can apply it here:
![\sqrt[7]{x^9}=\sqrt[7]{x^7*x^2}=x\sqrt[7]{x^2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B7%5D%7Bx%5E9%7D%3D%5Csqrt%5B7%5D%7Bx%5E7%2Ax%5E2%7D%3Dx%5Csqrt%5B7%5D%7Bx%5E2%7D%20)
Your final answer would be ![x\sqrt[7]{x^2}](https://tex.z-dn.net/?f=%20x%5Csqrt%5B7%5D%7Bx%5E2%7D%20)
