So as we already know the ratio is 3 quarts blue paint to 2 quarts red paint, also written as 3:2. if she only has 1 quart blue paint she will need half of a quart of red paint because the ratio has to remain the same amount. if you multiply one side then you must multiply the other. same goes with division. If she only has 1 quart of red paint then that shows she divided the 2 red by 2. There fore you would have to divided the 3 by 2 in order to get 1.5 which would then make the ratio 1.5:1
Area : 1050
Perimeter : 150
Answer:
O A. x = 3
Step-by-step explanation:
4(x - 8) + 10 = -10
4x - 32 + 10 = -10
4x = 12
x = 3
It's clear that for x not equal to 4 this function is continuous. So the only question is what happens at 4.
<span>A function, f, is continuous at x = 4 if
</span><span>
</span><span>In notation we write respectively
</span>
Now the second of these is easy, because for x > 4, f(x) = cx + 20. Hence limit as x --> 4+ (i.e., from above, from the right) of f(x) is just <span>4c + 20.
</span>
On the other hand, for x < 4, f(x) = x^2 - c^2. Hence
Thus these two limits, the one from above and below are equal if and only if
4c + 20 = 16 - c²<span>
Or in other words, the limit as x --> 4 of f(x) exists if and only if
4c + 20 = 16 - c</span>²
That is to say, if c = -2, f(x) is continuous at x = 4.
Because f is continuous for all over values of x, it now follows that f is continuous for all real nubmers 
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