Given:
Week 6 = 14 miles
Week 5 = 1.5 miles less than week 6.
1.5 miles is the common difference.
Week 6 = 14 miles
Week 5 = 12.5 miles
Week 4 = 11 miles
Week 3 = 9.5 miles
Week 2 = 8 miles
Week 1 = 6.5 miles
f(t) = first term + common difference(t-1)
f(t) = 6.5 miles + 1.5 miles (t-1)
f(1) = 6.5 + 1.5(1-1)
f(1) = 6.5 miles
f(2) = 6.5 + 1.5(2-1)
f(2) = 6.5 + 1.5
f(2) = 8 miles
Answer:
12
Step-by-step explanation:
Orange juice: $2.20 per bottle.
10 bottles of orange juice cost 10 * $2.20 = $22.00.
We subtract the cost of the 10 bottles of orange juice from the amount of money he has to find out the amount he will have left for bottles of apple juice.
$50.80 - $22.00 = $28.80
After buying the 10 bottles of orange juice, he has $28.80 left.
We divide the money he has left for apple juice bottles by the price of one apple juice bottle to find out the number of apple juice bottles he can buy.
$28.80/$2.40 = 12
He can buy 12 bottles of apple juice.
Answer:
Explanation:
part A identification for slope:
comparing with slope intercept form: y = mx + b
we can find that here the slope is
part B, solving the equation:
if the line is parallel, then the slope will be same.
given coordinates: ( - 10, 1 )
using the equation:
y - y₁ = m( x - x₁ )
Extra information:
check the image below. this proves that the line is parallel and passes through point (-10, 1). the blue line is question line and red the answer line.
Fraction has fraction in both
For this case we have the following function:
<span>w (x) = - 5 (x-8) (x + 4)
</span><span>Rewriting we have:
</span><span>w (x) = - 5 (x ^ 2 + 4x - 8x - 32)
</span><span>w (x) = - 5x ^ 2 - 20x + 40x + 160
</span><span>w (x) = - 5x ^ 2 + 20x + 160
</span><span>Then, deriving we have:
</span><span>w '(x) = - 10x + 20
</span><span>We equal zero and clear x:
</span><span>0 = -10x + 20
</span><span>10x = 20
</span><span>x = 20/10
</span><span>x = 2 seconds
</span><span>Substituting values:
</span><span>w (2) = - 5 (2-8) (2 + 4)
</span><span>w (2) = - 5 (-6) (6)
</span><span>w (2) = 180 meters
</span>Answer:
The maximum height that the stone will reach is:
w (2) = 180 meters