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Find f(2) for the given equation f(x) = 3x - 1.


Determine whether the two given compound propositions are equivalent

(p->q)^(q->p) and p<->q


find points of intersection of

f(x)=x^4+8x^3+16x^2

g(x)=5-4x^2-16x


You want to purchase a new phone that costs $475. You have $95 in savings and can save $20 per week. How many weeks will it take for you to be able to afford the new phone?


The calorie count of a serving of food can be computed based on its composition of​ carbohydrate, fat, and protein. The calorie count C for a serving of food can be computed using the formula C=4h+9f+4p​, where h is the number of grams of carbohydrate contained in the​ serving, f is the number of grams of fat contained in the​ serving, and p is the number of grams of protein contained in the serving.

A serving of raisins contains 114 calories and 25 grams of carbohydrate. If raisins are a​ fat-free food, how much protein is provided by this serving of​ raisins?


f(x)=x^2+x-4 for a<=x<=a+3. if the range of the function f is -2<=f(x)<=16, find the possible values of a


f(x)=x^2-2x-3 for x>=0, -a<=x<=a. if the range of the function f is -4<=f(x)<=5, find the value of a.


a radio and cycle together cost ₹1200. if the price of the former rises by 20% and then latter by 25%,then two together would cost ₹1460.find the former prices


the population of 2 town were equal in a particular year.population of 1 town is increase by 8% but other decrease by 6%.then population of two town together was 48765.what was the population of each town in the particular year when the population of town was equal?


express each function in the form a(x+b)^2+c, where a, b and c are constants and, hence, state the range of each function.

(a) f(x)=x^2+6x-11 for x>=0

(b) f(x)=3x^2-10x+2 for x>=0


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