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rodikova [14]
2 years ago
13

F(x)=kx+6 and find f(2)=16 find f(4)

Mathematics
1 answer:
Vikentia [17]2 years ago
5 0

Answer:

f(4)=26

Step-by-step explanation:

f(2)=16

F(x) = kx+6

16=k(2)+6

16-6=k(2)

10=k(2)

<u>10</u> =<u>k(</u><u>2</u><u>)</u>

2 2

5= k

f(4)=k(4)+6

=5(4)+6

=20+6

f(4)=26

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3 years ago
Points A B C D and E are collinear and in that order. Find AC if AE=x+50 and CE=x+32
Lana71 [14]

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Step-by-step explanation:

Points A B C D and E are collinear.

\therefore AE = AC + CE\\\therefore AC = AE - CE\\\therefore AC = x + 50 - (x + 32) \\\therefore AC = x + 50 - x - 32 \\\therefore AC =  50 - 32 \\ \huge \red{ \boxed{\therefore AC = 18}}

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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
3 years ago
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