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3 years ago

For the function defined by the equation y=3/2x+6 what is the output when the input is -10

Mathematics

1 answer:

Gekata [30.6K]3 years ago

3 0

Y=-9
Input is basically your x value so output is basically your y value
So plug in -10 for x
Y=3/2(-10)+6
Y=-15+6
Y=-9

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Choose the point slope form of the equation below that represents the line that passes through the points (-6,4) and (2,0) Y+6=2

olchik [2.2K]

Answer:

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Step-by-step explanation:

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2 years ago

Simply<br> tan 45°. sin 30° - cot 45°/sec 60°

dusya [7]

If we want to write the given four numbers in another form, we can write it like this;

$tan45=sin45/cos45=1$

$sin30=sin(\frac{\pi }{2}-60 )=cos60=\frac{1}{2}$

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Now let's rewrite the given expression and get the result.

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1 year ago

Read 2 more answers

Fraction that is equivalent to but different from 4/13

dem82 [27]

Answer:

8/26

Step-by-step explanation:

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3 years ago

Over what interval is the function in this graph decreasing?

lys-0071 [83]

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Step-by-step explanation:

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3 years ago

Please help me with these two math problems that I do not quite understand. This is urgent!

g100num [7]

Answer:

1) $a_{n}=a_{1}+(n-1)d\Rightarrow a_{n}=-1-2(n-1)\\a_{2}=-1-2(2-1)\Rightarrow a_{2}=-3\\a_{3}=-1-2(3-1)\Rightarrow a_{3}=-5\\(...)\\a_{10}=-1-2(10-1)=-19$

2) $a_{10}=4+8(10-1)\Rightarrow a_{10}=76$

Step-by-step explanation:

1) To write an Arithmetic Sequence, as an Explicit Term, is to write a general formula to find any term for this sequence following this pattern:

$a_{n}=a_{1}+d(n-1)\Rightarrow \left\{\begin{matrix}a_{n}=n^{th}\: term\\a_1=1st \: term \\d=\: difference\\n=n^{th}\, term\end{matrix}\right.$

<em>"Write an explicit formula for each explicit formula A(n)=-1+(n-1)(-2)"</em>

This isn't quite clear. So, assuming you meant

Write an explicit formula for each term of this sequence A(n)=-1+(n-1)(-2)

As this A(n)=-1+(n-1)(-2) is already an Explicit Formula, since it is given the first term $a_{1}=-1$ the common difference $d=-2$ let's find some terms of this Sequence through this Explicit Formula:

$a_{n}=a_{1}+(n-1)d\Rightarrow a_{n}=-1-2(n-1)\\a_{2}=-1-2(2-1)\Rightarrow a_{2}=-3\\a_{3}=-1-2(3-1)\Rightarrow a_{3}=-5\\(...)\\a_{10}=-1-2(10-1)=-19$

2) $(4,12,20,28, ..)$ In this Arithmetic Sequence the common difference is 8, the first term value is 4.

Then, just plug in the first term and the common difference into the explicit formula:

$a_{10}=4+8(10-1)\Rightarrow a_{10}=76$

6 0

2 years ago