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ddd [48]
3 years ago
5

The table represents a linear function. What is the slope of the function?

Mathematics
1 answer:
TEA [102]3 years ago
3 0

Answer:

-4

Step-by-step explanation:

The function is linear; therefore, the slope of the line joining any two points is the same.

We take any two points from the table and compute the slope or  rise/ run between them— let is take points (-4, -2) and (-2, -10).

The slope m of the line joining the points is

m=\dfrac{\Delta y }{\Delta x } =\dfrac{-2-(-10)}{-4-(-2)} \\\\\boxed{m=-4}

The slope of the function is -4.

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State one form of the Law of Cosines and provide a trick for writing the other two forms and explain when Law of Cosines should
Yuki888 [10]

Solving for <em>Angles</em>

\displaystyle \frac{a^2 + b^2 - c^2}{2ab} = cos∠C \\ \frac{a^2 - b^2 + c^2}{2ac} = cos∠B \\ \frac{-a^2 + b^2 + c^2}{2bc} = cos∠A

* Do not forget to use the <em>inverse</em> function towards the end, or elce you will throw your answer off!

Solving for <em>Edges</em>

\displaystyle b^2 + a^2 - 2ba\:cos∠C = c^2 \\ c^2 + a^2 - 2ca\:cos∠B = b^2 \\ c^2 + b^2 - 2cb\:cos∠A = a^2

You would use this law under <em>two</em> conditions:

  • One angle and two edges defined, while trying to solve for the <em>third edge</em>
  • ALL three edges defined

* Just make sure to use the <em>inverse</em> function towards the end, or elce you will throw your answer off!

_____________________________________________

Now, JUST IN CASE, you would use the Law of Sines under <em>three</em> conditions:

  • Two angles and one edge defined, while trying to solve for the <em>second edge</em>
  • One angle and two edges defined, while trying to solve for the <em>second angle</em>
  • ALL three angles defined [<em>of which does not occur very often, but it all refers back to the first bullet</em>]

* I HIGHLY suggest you keep note of all of this significant information. You will need it going into the future.

I am delighted to assist you at any time.

7 0
2 years ago
Given the replacement set {0, 1, 2,3 4,}, solve 6x - 3=3
IrinaVladis [17]

Answer:

1

Step-by-step explanation:

6x - 3 =3

6x =3 +3

6x =6

x=6 :6

x=1

7 0
3 years ago
The audience thinks 30\%30%30, percent of Brandon's jokes are funny.
Kisachek [45]

Answer:

3/10

Step-by-step explanation:

Brandon's jokes does the audience think are funny = 30%

What fraction of Brandon's jokes does the audience think are funny?

Express the percentage as a fraction

= 30%

= 30 / 100

= 3/10

The fraction of Brandon's jokes that the audience think are funny is 3/10

6 0
2 years ago
Suppose b is any integer. If b mod 12 = 5, then 7b mod 12
Rzqust [24]

The result follows directly from properties of modular arithmetic:

b\equiv5\pmod{12}\implies 7b\equiv35\equiv-1\equiv\boxed{11}\pmod{12}

That is,

b\equiv5\pmod{12}

means we can write b=12n+5 for some integer n. Then

7b=7(12n+5)=12(7n)+35

and taken mod 12, the first term goes away, so

7b\equiv35\pmod{12}

etc

8 0
3 years ago
Eden opened a new checking account on Monday and deposited $25 into it. The table below shows the activity in her account for th
exis [7]
If I should solve i need the table given to you
5 0
3 years ago
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