WILL MARK AS BRIANLIEST AND GIVE 20 POINTS

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

3 0

The initial value is the Y value when X = 0

In the table, as X increases by 1 unit, Y decreases by 2 units,

the rate of change would be -2.

This would also mean when x is 0, Y would be 12 ( initial value)

The correct answer is: Initial value: 12, rate of change: −2

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4 years ago

a can of soft drink weighs 340g when rounded off to the nearest whole number, what is the lowest possible weight of the can of s

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<h3>Answer: 339.5 grams</h3>

======================================================

Explanation:

When we round that value mentioned above to the nearest whole number, we end up with 340 grams. So we have to think in reverse of the rounding process to try to see which values round to 340, and go for the lowest one.

Something like 339.49 will round to 339 grams. The same applies to 339.499 and so on. This means the lowest we can go is 339.5

Going the opposite direction, there technically is no largest possible value. We could have 340.49 or 340.499 or 340.4999 and so on. These values are all approaching 340.5 but never actually get there.

In short, the possible weights x are $339.5 \le x < 340.5$ where rounding any of those x values to the nearest whole number will get you 340 grams. We see that 339.5 grams is the smallest possible x value.

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3 years ago

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3 years ago

Solve x2 - 3x = 28 by factoring.

Anastasy [175]

Answer:

Step-by-step explanation:

$x^2-3x=28\qquad\text{subtract 28 from both sides}\\\\x^2-3x-28=0\\\\x^2+4x-7x-28=0\qquad\text{distribute}\\\\x(x+4)-7(x+4)=0\\\\(x+4)(x-7)=0\iff x+4=0\ \vee\ x-7=0\\\\x+4=0\qquad\text{subtract 4 from both sides}\\\boxed{x=-4}\\\\x-7=0\qquad\text{add 7 to both sides}\\\boxed{x=7}$

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3 years ago

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