The answer is no. this is because if you toss a coin two times the probability of landing on heads twice is 1/4. if it doesn't land on tails twice it can land on heads once and tails once. this means there are more possibility and cannot be the same
Answer:
(0,34)
Step-by-step explanation:
For each rise of 14 in the x direction, this graph rises by -8 in the y direction. This means that, when x is 0, and the graph intersects the y axis, the y value will be 50-8-8=34. Therefore, the y intercept of this line is (0,34). Hope this helps!
Answer:
3
(
3
)
+
6
(
2
)
+
2
=
2
(
3
)
+
3
(
2
)
+
5
Step-by-step explanation:
Answer:
Divide all of them by 5.
30 g onions
16 g carrots
0.5 tablespoons of oil
130 g tomatoes
0.3 I vegetable stock (whatever this is)
I hope this helps! If there are calculation mistakes, I’m sorry because I did this all in my head...
ANSWER
to the nearest hundredth.
EXPLANATION
We have the equation,
![0=2x^2+3x-8](https://tex.z-dn.net/?f=0%3D2x%5E2%2B3x-8)
Which can be rewritten as
![2x^2+3x-8=0](https://tex.z-dn.net/?f=2x%5E2%2B3x-8%3D0)
The question demands the use of the quadratic formula.
Comparing this to the general quadratic equation;
![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
![a=2,b=3,c=-8](https://tex.z-dn.net/?f=a%3D2%2Cb%3D3%2Cc%3D-8)
The quadratic formula is given by;
![x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
We now substitute all the values in to the formula;
![x=\frac{-3\pm\sqrt{(3)^2-4(2)(-8)}}{2(2)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-3%5Cpm%5Csqrt%7B%283%29%5E2-4%282%29%28-8%29%7D%7D%7B2%282%29%7D)
We simplify to obtain;
![x=\frac{-3\pm\sqrt{9+64}}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-3%5Cpm%5Csqrt%7B9%2B64%7D%7D%7B4%7D)
![x=\frac{-3\pm\sqrt{73}}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-3%5Cpm%5Csqrt%7B73%7D%7D%7B4%7D)
We now split the plus or minus sign to obtain;
![x=\frac{-3-\sqrt{73}}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-3-%5Csqrt%7B73%7D%7D%7B4%7D)
This implies that;
![x=-2.89](https://tex.z-dn.net/?f=x%3D-2.89)
Or
![x=\frac{-3+\sqrt{73}}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-3%2B%5Csqrt%7B73%7D%7D%7B4%7D)
This will evaluate to;
![x=1.39](https://tex.z-dn.net/?f=x%3D1.39)
Hence, the positive solution rounded to the nearest hundredth is
![x \approx 1.39](https://tex.z-dn.net/?f=x%20%5Capprox%201.39)