y = 7x - 3
Note the gradient of the tangent is the derivative of y at x = 1
Differentiate using the power rule
(a
) = na
y = 3x³ - x² + 2
= 9x² - 2x
x = 1 : = 9 - 2 = 7 ← gradient of tangent
equation in point- slope form, using m = 7 and (a, b) = (1, 4)
y - 4 = 7(x - 1) ← point-slope form
y - 4 = 7x - 7
y = 7x - 3 ← in slope-intercept form
Answer:
He have left <u>1250 milliliters</u> of sport drink.
Step-by-step explanation:
Given:
Eduardo bought 2 litre sports drink for soccer practice during practice.
Eduardo drank 250 milliliters of sport drink then he drank another 1/2 liter.
Now, to find the milliliter of sport drink he have left.
Eduardo bought sports drink = 2 litre.
Now, to convert litre into milliliter by using conversion factor:
1 litre = 1000 milliliter.
2 liters = 2 × 1000 milliliters.
2 liters = 2000 milliliters.
<u><em>Thus, Eduardo bought 2000 milliliters sport drink.</em></u>
<u><em>As, Eduardo drank 250 milliliters of sport drink.</em></u>
So, to get the sport drink left after he drank we subtract 250 milliliters from 2000 milliliters:
<u><em>Thus, 1750 milliliters sport drink left.</em></u>
Now, to get the sport drink left after he drank we subtract
from 1750 milliliters:
So,
Therefore, he have left 1250 milliliters of sport drink.