Step-by-step explanation:
We have been given an equation y+6=45(x+3) in point slope form.
It says to use the point and slope from given equation to create the graph.
So compare equation y+6=45(x+3) with point slope formula
y-y1=m(x-x1)
we see that m=45, x1=-3 and y1=-6
Hence first point is at (-3,-6)
slope m=45 is positive so to find another point, previous point will move 45 units up then 1 unit right and reach at the location (-2,39).
Now we just graph both points (-3,-6) and (-2,39) and join them by a straight line. Final graph will look like the attached graph.
Answer:
y = 7 
Step-by-step explanation:
Use the given ordered pairs to find a and b
Using (0, 7 ), then
7 = a
(
= 1 ), thus
a = 7
y = 7 
Using (5, 1701 )
1701 = 7
( divide both sides by 7 )
243 =
( take the fifth root of both sides )
b =
= 3 , thus
y = 7
Answer:
Step-by-step explanation:
Since, Here w represents the weight of the bottle.
And, According to the question, he acceptable weights, w, of a 20-ounce bottle of sports drink.
That is, weight of the bottle can not be higher than 20 or the it can be atleast 20.
Therefore,
And, the weight can not be negative.
Therefore, 
Thus, the required inequality is,
Answer:
A) 46 mph
Step-by-step explanation:
<em>Step 1: To find the speed, you need to find the distance and time to travel between Chicago and Cleveland.</em>
Distance = 354 miles
Time = 9: 50 am to 5: 30 pm
Time = 7 hours 40 minutes
<em>Step 2: Convert time to hours</em>
1 hour = 60 minutes
40 minutes = 60/40 = 2/3 hours
<em>Step 3: Find the speed</em>
Speed = Distance/Time
Speed = 354/7 + 2/3
Speed = 1062/23
Speed = 46.17 miles per hour rounded off to 46 mph
Therefore, A is the correct answer.
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