What type of function do you think models the amount of medicine in a person’s bloodstream after a certain amount of time?
1 answer:
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4x + 2y = 8 (1)
8x + 4y = -4y (2)
A) Two lines are parallel if they have the same gradient
- putting both equations into the gradient- intercept form ( y = mx + c where m is the gradient)
(1) 4x + 2y = 8
2y = 8 - 4x
y = -2x + 4
(2) 8x + 4y = -4y
<span> </span>8x = -4y - 4y
y =
y = -x
<span>Thus the gradient of the two equations are different and as such the two lines are not parallel
</span>
B) When two lines are perpendicular, the product of their gradient is -1
p = (-2) * (-1)
p = 2
<span> ∴ the two lines are not perpendicular either.</span>
Thus these lines are SKEWED LINES
8x + 4y = -4y (2)
A) Two lines are parallel if they have the same gradient
- putting both equations into the gradient- intercept form ( y = mx + c where m is the gradient)
(1) 4x + 2y = 8
2y = 8 - 4x
y = -2x + 4
(2) 8x + 4y = -4y
<span> </span>8x = -4y - 4y
y =
y = -x
<span>Thus the gradient of the two equations are different and as such the two lines are not parallel
</span>
B) When two lines are perpendicular, the product of their gradient is -1
p = (-2) * (-1)
p = 2
<span> ∴ the two lines are not perpendicular either.</span>
Thus these lines are SKEWED LINES
Answer:
H. 552
Step-by-step explanation:
Circle graph information:
- Milk and eggs = x%
- Fruits and vegetables = 38%
- Cereals = 10%
- Meat and fish = 10%
- Sugar = 8%
- Fats and oils = 4%
Total consumption = 1840 pounds per person
First, calculate the percentage of milk and eggs (the value of x).
Total percentages = 100%
⇒ x + 38 + 10 + 10 + 8 + 4 = 100
⇒ x + 70 = 100
⇒ x = 30
Therefore, 30% of food consumption is milk and eggs.
To calculate the number of pounds of milk and eggs the average American consumes each year, simply find 30% of the total consumption:
= 30% of 1840
= 30% × 1840
= 552
Therefore, the average American consumes 552 pounds of milk and eggs each year.