<u><em>Answer:</em></u>
14 miles
<u><em>Explanation:</em></u>
<u>The relation that will be used to solve this problem is:</u>
<u>which can be rewritten as:</u>
<u>Assume that:</u>
Distance from your house to your friend's house is d
Time taken from your house to your friend's house is t₁
Time taken from your friends house to your house is t₂
<u>1- From your house to your friend's house:</u>
Average rate = 35 miles/hour
<u>Therefore:</u>
<u>2- From your friend's house to your house:</u>
Average rate = 40 miles per hour
<u>Therefore:</u>
<u>3- Round trip:</u>
We know that the round trip took 45 minutes which is equivalent to 0.75 hours
<u>This means that:</u>
t₁ + t₂ = 0.75 hours
Hope this helps :)
Answer angle ABC is a complementary angle
Answer:
see explanation
Step-by-step explanation:
A recursive formula allows us to calculate any term in the sequence from the previous term.
These are the terms of a geometric sequence with r being the common ratio between consecutive terms.
r = 4 ÷ - 2 = - 8 ÷ 4 = 16 ÷ - 8 = - 2
Multiplying a particular term by - 2 gives the next term in the sequence.
Hence recursive formula is
= - 2 
with a₁ = - 2
Answer:
cubic polynomial
Step-by-step explanation:
Given polynomial is ![\[h(x)=-6x^{3}+2x-5\]](https://tex.z-dn.net/?f=%5C%5Bh%28x%29%3D-6x%5E%7B3%7D%2B2x-5%5C%5D)
A polynomial of degree 1 is a linear polynomial.
A polynomial of degree 2 is a quadratic polynomial.
A polynomial of degree 3 is a cubic polynomial.
In this case the exponent with the maximum value in the polynomial is 3.
Hence the degree of the polynomial h(x) is 3.
Hence the given polynomial is a cubic polynomial.
Answer:
0.5:1
Step-by-step explanation:
laps:minutes
So we can find how much Ronald runs in 2 minutes, by dividing 6:12 (or 6/12) by 6. This will give you 1:2 (One lap = 2 minutes).
But you're looking for 1 minute, so with 1:2, you have to divide them by 1/2, so it will be 0.5:1.
