Let's assume
the number of hours Susan jogs at the increased speed is 't' hours
Since, increased speed is 6 miles per hour
after 't' hours , she travles with increased speed is 6*t miles
She starts off with a half-hour walk at a pace of 2 miles per hour
so, she travels distance
=0.5*2 miles
=1 miles
She travels a total of 4 miles
total distance is
=6t+1
now, we can set them equal
now, we can solve for t
Subtract both sides by 1
Divide both sides by 6
we get
so, the number of hours Susan jogs at the increased speed is 0.5 hrs.........Answer
Answer:
Step-by-step explanation:
=> 
Collecting like terms and expanding the brackets
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Answer:
y=(-4/1)x-5
Step-by-step explanation:
You need to find the slope of the line and the y intercept, you can do this by plotting the points into a graph and figuring it out that way, or you can use the equations y2-y1/x2-x1 (for slope) and y=(*the slope from the other equation*)x+b. For both equations plug in a corresponding x and y coordinate given on the list (y1 and y2 would be consecutive coordinates, so 1 and 2, and same for x1 and x1, so -9 and -13). You should get (-4/1) for the slope, and when you plug that into the other equation you should get 5. Lastly you plug all these numbers into y=mx+b, and you get your answer.
Hope this helps :)
Option B (22,16,18,36)
Mean- Mean is an average of the data collected in the data set. It can be found by dividing the sum of the values by the number of values. Median is the middle value of the data set when the values are placed in order from least to greatest.
It is easy to calculate: add up all the numbers, then divide by how many numbers there are.
Add all the numbers (22+16+18+36) = 92
Avarage = sum of the all given numbers/ total numbers
total numbers =4
so avarage= mean= 92/4 =23
(22,16,18,36) has the most spread because one number as low as 16 and one as high as 36. Our mean is 23, so that means that the spread is huge.
Hence the answer is (22,16,18,36).
For more information about Mean
visit : brainly.com/question/1635504
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Answer:
The answer to your question is below
Step-by-step explanation:
A) f(x) = x² + 4x + 1
Find the vertex
y = x² + 4x + 1
-Subtract 1 in both sides
y - 1 = x² + 4x
-Complete the perfect trinomial square in the right side
y - 1 + (2)² = x² + 4x + (2)²
-Simplify
y - 1 + 4 = (x + 2)²
y + 3 = (x + 2)²
-Find the vertex
V = (-2, -3)
B)
f(x) = x²
g(x) = (x - 4)² - 2 See the picture below
Shifted right 4 units
Shifted down 2 units
