The question provides two equations involving the variable f. By isolating f in these equations, we derive two possible values for f. The minimum value for f is the smaller of these two derived values, which is -5/3.
To solve this we can use the principle that if two different values of f multiply with different numbers to equal different constants, we can set up a system of equations to find those values of f.
The given equations are f×3=-5 and f×1=2. Let's denote f×1 as f₁ and f×3 as f₂.
So, the minimum value of f, that is f_min would be the smaller of f₁ and f₂. As -5/3 is smaller than 2, f_min = -5/3.
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Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.
Step-by-step explanation:
Let,
Weight of one large bead = x
Weight of one small bead = y
According to given statement;
12x+8y=88 Eqn 1
5x+2y=25 Eqn 2
Multiplying Eqn 2 by 4
Subtracting Eqn 1 from Eqn 3
Dividing both sides by 8
Putting x=1.5 in Eqn 1
Dividing both sides by 8
Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.
Keywords: linear equation, elimination method
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Answer: 11 I think
Step-by-step explanation:
-4t
4t
-10t
10t
The simplification of the expression 5t + (t - 3) - [(7t + 5) - (8 - 3t)] using PEMDAS rule is -4t.
Thus, option 1 is correct.
A method of reducing an expression, equation, or problem to a more concise or straightforward form is referred to as simplification.
Initially the small bracket then curly brackets and at last large brackets are required to solve according to the laws of simplification using PEMDAS rules.
The given expression can be simplified as:
5t + (t - 3) - [(7t + 5) - (8 - 3t)]
5t+t-3-[7t+5-8+3t]
5t+t -3-7t-5+8-3t
-4t
The simplification of the expression 5t + (t - 3) - [(7t + 5) - (8 - 3t)] is -4t.
Thus, option 1 is correct.
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oil. How can you remove the salt?
Answer: Evaporate the water by boiling it in a pot with a lid or another container. This separates both substances as the boiling point for water is much lower than salt, this method is called simple distillation.
Answer:
Salt is ionic, and oil is covalent. If you add water, the salt will dissolve in the water, and the oil will float to the top. You could then skim the oil and start over with sugar. To double-check, you could even make sure the oil does not conduct electricity!
Step-by-step explanation:
2. x^3 - x^2 + x - 1 = 0
3. x^3 + 3x^2 + x + 3 = 0
4. x^3 - 2x^2 + x - 2 = 0
5. x^3 - 6x^2 - 16x + 96 = 0