Answer:
18 miles per gallon
90/5=18
Step-by-step explanation:
1) y= - 2x² + 8x. It's a parabola open downward (a<0)
2) x - 2.23.y + 10.34 = 0 . Re-write it : y = (x/2.23) + (10.34/2.23), a linear equation.
To find the intersections between 1) & 2), let 1) = 2)
-2x² + 8x = (x/2.23) + (10.34/2.23)
-2x² + 8x - (x/2.23) - (10.34/2.23) =0 ; solve this quadratic for x values:
x' (that is A) = 0.772 & x" (that is B) = 3. (these are the values of x-intercept (parabola with line). To calculate the y-values, plug x' & x' in the equation:
for x' = 0.772, y = 0.34 → B(0.772 , 0.34)
for x" = 3, y = 0.016 → A(3 , 0.O16)
So B IS AT 0.34 Unit from the ground
Answer:
Option D (r(t) = 3.50t +25
; r(8) = 53)
Step-by-step explanation:
The fixed cost to rent the kayak $25. This is the cost which remains fixed irrespective of the usage of the kayak. The variable cost of using the kayak is the cost which depends on the usage of the kayak. It is mentioned that the kayak is used for 4 hours and the company charges $3.5 for every half hour. The cost function is given by:
r(t) = 25 + 3.5t ; there r is the total cost of using the kayak and t is the number of half-hours the kayak is used.
4 hours means that there are 8 half-hours. Therefore, t=8. Put t=8 in r(t).
r(8) = 25 + 3.5*(8) = 25 + 28 = 53.
Therefore, Option D is the correct answer!!!
remember that
![x^{\frac{a}{b}}=\sqrt[b]{x^a}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Ba%7D%7Bb%7D%7D%3D%5Csqrt%5Bb%5D%7Bx%5Ea%7D)
also 
and 
so
first one, that one is clearly not equal since 0.25≠4
2nd one, 0.25=1/4, so 
, which matches
3rd one, ![\sqrt[3]{16}=\sqrt[3]{4^2}=4^{\frac{3}{2}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B16%7D%3D%5Csqrt%5B3%5D%7B4%5E2%7D%3D4%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D)
, which matches
4th one ![(\sqrt[3]{4})^2=(4^{\frac{1}{3}})^2=4^{\frac{2}{3}}](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B4%7D%29%5E2%3D%284%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29%5E2%3D4%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D)
which matches
answer is 
The equation of nth term will be written as for n as will be (
- a₁ + d) / d. Then the correct option is D.
The missing options are attached to the picture given below.
<h3>What is a sequence?</h3>
A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The formula for the nth term of an arithmetic sequence can be found using the formula given below.
Then arrange the equation for n, we have
Then the correct option is D.
More about the sequence link is given below.
brainly.com/question/21961097
#SPJ1
