Answer:
0
Step-by-step explanation:
According to the <em>Slope-Intercept</em><em> </em><em>Formula</em><em>,</em><em> </em>[y = mx + b], <em>m</em><em> </em>represents the <em>Rate of Change</em> [<em>Slope</em>]. Since we ONLY have the y-intercept of [0, 7], that makes the slope 0.
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£7200
In first year depreciates by 20%, that is it is worth 80% of it's original value
80% =
= 0.8
value after 1 year = 0.8 × £10000 = £8000
In the second year it depreciates by 10% of it's value, that is it is worth 90% of it's value at the end of the first year.
90% =
= 0.9
value after 2 years = 0.9 × £8000 = £7200
8 - 3x - x = 12
8 - 2x = 12
-2x = 12 - 8
-2x = 4
x = -2
The answer is:
(x-5 - sq root 29) (x-5 + sq root 29)
To get that number in the problem, you need to translate first the word problem into mathematical expression.
We will let x as the number.
six more than the product of a number and -2 is greater than 10 can be written as (-2x) + 6 > 10
We will now solve for x to get the number.
(-2x) + 6 > 10
Add -6 to both sides of the equation
-2x + 6 - 6 > 10 - 6
-2x > 4
Divide both sides of the equation with -2
Take note that if we divide a negative number in inequality, the inequality symbol will be change from greater than to less or from less than to greater than.
-2x / -2< 4 / -2
x < -2
Therefore, the number that we are looking for is less than -2.