Answer:
The explicit formula for the given expression is 
.
Step-by-step explanation:
The given sequence is
-7, -4, -1, 2, 5
The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.
The first term of the given AP is -7 and the common difference is
The explicit formula for an AP is
Where, a is first term, d is common difference and n is number of terms.
Substitute a=-7 and d=3 in the above equation.
Therefore the explicit formula for the given expression is .
x/110 = (320-x)/90
<span> Cross multiply</span>
90x = 35200-110x
200x=35200
X = 35200/200 = 176 (distance traveled by train going 110 mph
176/110 = 1.6 hours = 1 hour and 36 minutes
Check: 110*1.6 = 176, 90*1.6 = 144
176+144 = 320
it will take 1.6 hours ( 1 hour 36 minutes) for the trains to meet
Slope: 
<u>Use the slope formula</u>
<u>Note</u>
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Answer:
1=b. 2=a
Step-by-step explanation:
Since there are corresponding angles, 1 and b will be congruent, and 2 and a will be congruent.
Answer:
20x-12
Step-by-step explanation:
Given:
7(3x−1)−(x+5)
Step 1: Distribute the Negative Sign:
=7(3x−1)+−1(x+5)
=7(3x−1)+−1x+(−1)(5)
=7(3x−1)+−x+−5
Step 2: Distribute:
=(7)(3x)+(7)(−1)+−x+−5
=21x+−7+−x+−5
Step 3: Combine
=21x+−7+−x+−5
=(21x+−x)+(−7+−5)
=20x+−12
