6x+4y=2
3x+2y=1
If you multiply by 2 the second statement you'll get the first one which means they belong to the same graph (same line, lines are coincident). The system is consistent and dependent.
The answer is: C. coincident
Answer:
y = 2/3x
Step-by-step explanation:
Slope-intercept formula: y = mx + b
m = 2/3 because the slope is 2/3.
b = 0 because the y value of the origin is 0, as the point is at (0, 0).
That makes y = 2/3x + 0, but adding zero does nothing so you take it out to get y = 2/3x.
If Tom throws the dart 30 times, the denominator of the fraction would be 30, as that is the total number, and if he actually hits the target 20 times, that would be the nominator of the fraction as that is the amount out of the total that he hits the target. So if the fraction is 20/30 for the times he hits the target, we can say that 10/30 is the fraction (or probability) that he will miss. We can simplify the fraction by dividing 10 on both sides, getting 1/3. On the bottom the question with the die has 3 scenarios, hit, miss, or neither. it misses when it is 5 or 6, it hits when the die is 1 or 4, and when the die is 2 or 3, nothing happens. as a die has 6 sides, the denominator is 6, and as there is 2 scenarios where you miss the numerator is 2. The fraction or probability for this one, would be 2/6 or 1/3. Using the same math for the following, you can get 1/3 for the die, 1/3 for the first spinner, 1/5 for the first number generator, 1/3 for the second number generator, and 1/3 for the second spinner. As the original part with Tom has a probability of 1/3, we are looking for equal probability, so the correct simulations would then be the die, the first spinner, the second number generator, and the second spinner, while the rest would be incorrect. Hope this helps!<span />
Answer:
B.
Step-by-step explanation:
The zeroes are 0 and 4 and the vertex is at (2, -4).
f(x) = (x - 2)^2 - 4
Answer:
2 4/36
Step-by-step explanation:
To do this, multiply the whole number by the denominator and add it to the numerator.
8 x 9 = 72
72 + 4 = 76
76/9
<em>Then multiply across (multiply numerators with numerators; denominators with denominators)</em>
76 x 1 = 76
9 x 4 = 36
76/36 = 2 4/36
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<em>A faster way to do this is to multiply the whole number by the fraction and then the fraction by the fraction.</em>
1/4 x 8/1 = 8/4 = 2
1/4 x 4/9 = 4/36
= 2 4/36
