Answer:
0.2071
Step-by-step explanation:
It looks like the graph is of the function ...
y = √(x +8) -2
We know that (-4, 0) is one point on the graph. The other point of interest is at x=0, where y = √8 -2 ≈ 0.8284.
The average rate of change on the interval is then ...
m = (0.8284 -0)/(0 -(-4)) = 0.2071
The average rate of change on the interval is about 0.2071.
_____
<em>Rougher estimate</em>
The graph goes through the points (-4, 0) and (1, 1), so has a slope of 1/5 = 0.2 on the interval [-4, 1]. We know the graph does not go through (0, 1), so the slope is not as high as 1/4 = 0.25. The curve is concave downward, so the average slope will be higher than 0.2, but we aren't sure how much higher.
A reasonable estimate of the rate of change on the interval is "a little more than 0.2, but less than 0.25."
Answer: 1.091 which is approximately 1 word per second
Step-by-step explanation:
Jack can text 180 words in 2 minutes and 45 seconds. We would convert 2 minutes to seconds
60 seconds = 1 minute
x seconds = 2 minutes
x = 2×60 = 120 seconds
2 minutes 45seconds = 120+45 = 165 seconds
This means Jack can text 180 words in 165 seconds
Let's find his unit rate in texts per second
if jack texts 180 words in 165 seconds
Then jack texts y words in 1 second
165y = 180
y = 180/165= 1.091 words per second
This is approximately 1 word per second
The degenerate conic that is formed when a double cone is sliced at the ap-ex by a plane parallel to the base of the cone is a <u>Point</u>.
<h3>What degenerate conic is formed?</h3>
When a plane that is parallel to the base of a double cone is used to slice the ap-ex, the conic section formed is a circle.
Circles lead to a Point degenerate conic being formed because a single point will be formed on the double cone that separates the shape.
Find out more on degenerate conics at brainly.com/question/14276568
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Answer:
y = 6, RS = 35 and ST = 17
Step-by-step explanation:
Given that,
RS = 5y+5
ST = 2y+5
RT = 52
If we consider a number line,
RT = RS + ST
52 = 5y+5 + 2y+5
52 = 7y + 10
7y = 52-10
7y = 42
y = 6
RS = 5y+5
= 5(6)+5
= 35
ST = 2y+5
= 2(6) +5
= 17
Hence, this is the required solution.
Answer:
Cost price=100%
Step-by-step explanation:
