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My name is Ann [436]
2 years ago
9

Which equation has the least steep graph?

Mathematics
2 answers:
inn [45]2 years ago
8 0
The answer to your question is D.
elixir [45]2 years ago
4 0
<h2>Answer:</h2>

Option: D is the correct answer.

               D)       y=\dfrac{1}{2}x+2

<h2>Step-by-step explanation:</h2>

A line is said to be steepest if the modulus of the slope is greatest and it is least steep if the modulus of the slope i.e. |m| is least.

We know that the slope intercept form of a line is given by:

y=mx+c

where m is the slope of the line and c is the y-intercept of the line.

A)

y=4x-3

The slope of line is: 4

i.e. m=4

and |m|=4

B)

y=\dfrac{-3}{4}x+5

the modulus of slope is:

|m|=\dfrac{3}{4}=0.75

C)

y=-10x-8

The modulus of slope of line is:

|m|=10

D)

y=\dfrac{1}{2}x+2

The slope of the line is:

|m|=\dfrac{1}{2}=0.5

The modulus of slope of line in options D is smallest.

Hence, the line in option: D is least steep.

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In a randomly generated list of numbers from 0 to 8 what is the chance thag each number will occur?
Vitek1552 [10]

Answer:

1/9

Step-by-step explanation:

That's bc there are 9 possible outcomes 0,1,2,3,4,5,6,7,8,

so say an out come is 4, out of 9 chances it was 4 so there is a 1/9 of getting 4

6 0
3 years ago
Use the distributive property to remove the parentheses. (y-3)10​
vlada-n [284]

Answer:

10y-30

Step-by-step explanation:

10*1y=10y

-3*10=-30

10y-30

3 0
2 years ago
Steven's kite rose into the air at the rate of five feet per second. How many feet did it rise in 2/3 minute (please explain how
igor_vitrenko [27]

Answer:

800 ft

Step-by-step explanation:

2/3 minutes = 2/3 min * 60 sec/min = 40 sec

5 ft/sec * 40 sec = 800 ft

4 0
3 years ago
Plz answer these questions without putting links and files
kotykmax [81]

Answer:

11/8 and 21/16

Step-by-step explanation:

3 x 1 = 3

4 x 2= 8

3/8+3/4(convert to eighth's)

3/8+6/8=11/8

1 1/8 = 9/8

9 x 1 = 9

8 x 2 = 16

9/16+3/4(convert to sixteenth's)

9/16+12/16

21/16

---

hope it helps

8 0
3 years ago
Read 2 more answers
Hello, Can someone please explain on how to do this? thank you!
Marrrta [24]
Steps:

1) determine the domain

2) determine the extreme limits of the function

3) determine critical points (where the derivative is zero)

4) determine the intercepts with the axis

5) do a table

6) put the data on a system of coordinates

7) graph: join the points with the best smooth curve

Solution:

1) domain

The logarithmic function is defined for positive real numbers, then you need to state x - 3 > 0

=> x > 3 <-------- domain

2) extreme limits of the function

Limit log (x - 3) when x → ∞ = ∞

Limit log (x - 3) when x → 3+ = - ∞ => the line x = 3 is a vertical asymptote

3) critical points

dy / dx = 0 => 1 / x - 3 which is never true, so there are not critical points (not relative maxima or minima)

4) determine the intercepts with the axis

x-intercept: y = 0 => log (x - 3) = 0 => x - 3 = 1 => x = 4

y-intercept: The function never intercepts the y-axis because x cannot not be 0.

5) do a table

 x                          y = log (x - 3)

limit x → 3+            - ∞

3.000000001        log (3.000000001 -3) = -9

3.0001                  log (3.0001 - 3) = - 4

3.1                       log (3.1 - 3) = - 1

4                          log (4 - 3) = 0

13                       log (13 - 3) = 1

103                     log (103 - 3) = 10

lim x → ∞             ∞

Now, with all that information you can graph the function: put the data on the coordinate system and join the points with a smooth curve.
7 0
3 years ago
Read 2 more answers
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