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m_a_m_a [10]
3 years ago
6

What is the slope of the graph?

Mathematics
1 answer:
Nookie1986 [14]3 years ago
4 0

Answer: The slope is \frac{3}{5}

Step-by-step explanation:

The slope of a line can be calculated with the following formula:

m=\frac{y_2-y_1}{x_2-x_1}

Observe the graph provided in the exercise.

You can notice that these two points are on the line:

(2,3) and (7,6)

Then you can identify that:

y_2=3\\y_1=6\\\\x_2=2\\x_1=7

Knowing these coordinates, you can substitute values into the formula for calculate the slope.

Then, you get that the slope of the graph is:

m=\frac{3-6}{2-7}\\\\m=\frac{-3}{-5}\\\\m=\frac{3}{5}

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How many x-intercepts does the graph of each quadratic equation have? Show your work.
Alex73 [517]

Answer:

Step-by-step explanation:

In each case we find the discriminant b^2 - 4ac.

If the discriminant is negative, we have two unequal, complex roots.

If the discriminant is zero. we have two equal, real roots.

If the discriminant is positive, we  have two unequal real roots.

#51:  8v^2 - 12v + 9:  the discriminant is (-12)^2 - 4(8)(9) = -144.  we have two unequal, complex roots

#52:  (-11)^2 - 4(4)(-14) = 121 + 224 = 345.  we  have two unequal real roots.

#53:  (-5)^2 - 4(7)(6) = 25 - 168 (negative).  we have two unequal, complex roots.

#54:  (4)^2 - 16 = 0.  We have two equal, real roots.

4 0
3 years ago
How do I graph this linear equation y=3x+4
Talja [164]
First mark a point at 4 on the y axis
Then because the slope is 3 you are going to rise three places up and one place to the right.
Use a ruler to connect the dots.
Hope this helps.
5 0
3 years ago
Question in the photo
melisa1 [442]

Answer:

14

Step-by-step explanation:

To make this not a function, the same input would need to go to two different outputs

so the input would need to be 5 ,17, or 14

3 0
3 years ago
Read 2 more answers
I think it is c, am I right?
Sphinxa [80]

Answer:

Yes

Step-by-step explanation:

8 0
3 years ago
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A park ranger would like to clear more than 10 mi of trail. So far, he has cleared 2 mi. From now on, he can clear 3/4 mi of tra
blondinia [14]

Answer: The answer is (b) The ranger will need to clear trail for more than 10 2/3 additional hours.


Step-by-step explanation:  Given that a park ranger would like to clear more than 10 mi of trail. Till now, he has cleared 2 mi. From now on, he can clear 3/4 mi of trail each hour.

Since 2 mi of the trail has already been cleared, so the trail that is left to be cleared = 10 - 2 = 8 mi.

Let, the park ranger will work for 'x' more hours. So, we have

\dfrac{3}{4}\times x=8\\\\\Rightarrow 3x=32\\\\\Rightarrow x=\dfrac{32}{3}\\\\\Rightarrow x=10\dfrac{2}{3}.

Thus, the park ranger will need to work for 10 2/3 more hours.

Hence, the correct option is (b) The ranger will need to clear trail for more than 10 2/3 additional hours.


3 0
3 years ago
Read 2 more answers
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