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dexar [7]
3 years ago
11

How to find the slope?

Mathematics
1 answer:
stealth61 [152]3 years ago
6 0

Answer:y2-y1 divided by x2 minus x1

Step-by-step explanation:

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Dale drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took hours. When Dale drove hom
IrinaK [193]

Dale drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when dale drove home, there was no traffic and the trip only took 5 hours. if his average rate was 18 miles per hour faster on the trip home, how far away does dale live from the mountains? do not do any rounding.

Answer:

Dale live 315 miles from the mountains

Step-by-step explanation:

Let y be the speed  of Dale to the mountains

Time taken by Dale to the mountains=7 hrs

Therefore distance covered by dale to the mountain = speed × time = 7y ......eqn 1

Time taken by Dale back home = 5hours

Since it speed increased by 18 miles per hour back home it speed = y+18

So distance traveled home =speed × time = (y+18)5 ...... eqn 2

Since distance cover is same in both the eqn 1 and eqn 2.

Eqn 1 = eqn 2

7y = (y+18)5

7y = 5y + 90

7y - 5y = 90 (collection like terms)

2y = 90

Y = 45

Substitute for y in eqn 1 to get distance away from mountain

= 7y eqn 1

= 7×45

= 315 miles.

∴ Dale leave 315 miles from the mountains

4 0
3 years ago
Write a rule for a geometric sequence that has -6 as its first term and a common ratio of 2. What is the tenth term of this sequ
slega [8]
The general form of the geometric sequence is a_{n} = a_{1} (r) ^{n-1}, where a sub n is the number term you're looking for (we're looking for the tenth term). a sub 1 is the first term in the sequence (ours is -6), r is the common ratio, and n-1 is the numbered term you're looking for minus 1.  Our formula then looks like this: a_{10} =-6(2) ^{10-1}.  Simplify it to  a_{10} =-6(2)^9.  Take 2 to the 9th power then multiply it by -6 to get -3072.  C is your answer.
3 0
3 years ago
Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Round your
Keith_Richards [23]

Answer:

Step-by-step explanation:

f'(x)=-sin x

f'(x)=\frac{cos \frac{\pi }{3} -cos (\frac{-\pi }{3}) }{\frac{\pi }{3} -(\frac{-\pi }{3}) } \\-sin x=\frac{\frac{1}{2} -\frac{1}{2} }{\frac{\pi }{3} +\frac{\pi }{3} } \\sin x=0\\at x=c ,sin c=0,c=0

c=0∈(-π/3,π/3)

4 0
2 years ago
Question 2
Oliga [24]

Answer:

9

Step-by-step explanation:

you want the trinomial (x*x - 6x + __ ) to be written as a binomial squared.

So we would need to realize that the constant would be equal to (-6/2)^2  =(-3)^2 = 9

We have completed the square.

f(x) = 4*( x - 3)^2  + 20   is now in Vertex Form

6 0
3 years ago
5. Jared collected data on the ages and heights of a random
Zepler [3.9K]
Now,  as you grow older,  most people get TALLER,  right?  So,  when both items move up,  it is positive correlation.  Now,  there are those few special ones who break the law of growing,  nah just kidding.  It's C :)
6 0
3 years ago
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