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lions [1.4K]
3 years ago
13

Sketch the graph of a function which satisfies all of the following conditions:

Mathematics
1 answer:
Jlenok [28]3 years ago
3 0
You can use for example f(x)=\frac{1}{x-4} . I have graphed it there : <u>https://www.desmos.com/calculator/othuxmqqyj

</u>A and B : f is always decreasing except in 4 where it is not defined
C,D : f''(x)=\frac{2}{x^3}
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An object launched vertically from a point that is 37.5 feet above ground level with an initial velocity of 48.6 feet per second
Elis [28]

Answer: 3.675 seconds

Step-by-step explanation:

Hi, when the object hits the ground, h=0:

h=−16t^2+48.6t+37.5

0=−16t^2+48.6t+37.5

We have to apply the quadratic formula:  

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  

Replacing with the values given:  

a=-16 ; b=48.6; c=37.5

x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)  

x = [ -48.6 ± √ 4,761.96] /-32

x = [ -48.6 ± 69] /-32

Positive:  

x = [ -48.6 + 69] /-32 = -0.6375

Negative:  

x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)

Feel free to ask for more if needed or if you did not understand something.  

8 0
3 years ago
Use interval notation to express the following:<br> The set of all numbers less than 2.
AlexFokin [52]

Answer:

( - infinity, -3 ] [ -2, infinity )

square bracket means it includes the end point.

Step-by-step explanation:

(-∞, -3]U [-2,∞)

3 0
3 years ago
Every seventh-grade student at Martin Middle School takes one world language class.
koban [17]

Answer:

s = 180

Step-by-step explanation:

s is the total number of seventh-grade students

1/10s take French which is 18

1/10s = 18

s = 18(10)

s = 180

6 0
2 years ago
A line has a rise of 6 and a slope of 1/20. What is the run?
mr Goodwill [35]

Answer:

120

Step-by-step explanation:

Slope = rise / run

1/20 = 6 / run

run = 120

8 0
3 years ago
Read 2 more answers
I need help with this ​
jeka94

Answer:

a15 = 50

t25 = 33554427

Step-by-step explanation:

<em>Insert/Substitute the number given in for n.</em>

a15 = 3(15) + 5

a15 = 45 + 5

a15 = 50

~

t25 = 2^25 - 5     <em>2 times itself 25 times. 25 is the exponent in this equation</em>

t25 = 33554432 - 5

t25 = 33554427

8 0
3 years ago
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