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m_a_m_a [10]
3 years ago
7

Find an equation for the inverse of the function. F(x)=5x+1

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
5 0

Answer:

f-1(x) = (x - 1)/ 5.

Step-by-step explanation:

Lete f(x) = y = 5x + 1

Now we find an expression for x in terms of y:

y = 5x + 1

5x = y - 1

x = (y - 1) / 5

So the inverse of th function = f-1(x) = (x - 1)/ 5 (answer).

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How would -9-(-5) look like as an addition problem?
Over [174]

Answer:

-9+5=-4

Step-by-step explanation:

a negative times a negative is always a positive.

4 0
3 years ago
Read 2 more answers
What is the missing pattern 7, 11, 2, 18, -7
Alexxx [7]

The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}, equivalent to the <em>recurrence</em> formula a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}.

<h3>What is the missing element in a sequence?</h3>

A sequence is a set of elements which observes at least a <em>defined</em> rule. In this question we see a sequence which follows this rule:

n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}      (1)

Now we prove that given expression contains the pattern:

n = 0

7

n = 1

7 + (- 1)² · 2² = 7 + 4 = 11

n = 2

7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2

n = 3

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² = 2 + 16 = 18

n = 4

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7

The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}, equivalent to the <em>recurrence</em> formula a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}.

To learn more on patterns: brainly.com/question/23136125

#SPJ1

8 0
2 years ago
Find the length of a line joining the point ( 4,3 ) and origin .​
GalinKa [24]

Answer:

i think you have to count till you get to 4 or 3 then the remaining you plus with the 3

5 0
3 years ago
Read 2 more answers
If LaTeX: m\angle ABF=8s-6m ∠ A B F = 8 s − 6 and LaTeX: m\angle ABE=2\left(s+11\right)m ∠ A B E = 2 ( s + 11 ), find LaTeX: m\a
kolbaska11 [484]

Answer:

<h2><em>2(3s-14)</em></h2>

Step-by-step explanation:

Given the angles ∠ABF=8s-6, ∠ABE = 2(s + 11), we are to find the angle ∠EBF. The following expression is true for the three angles;

∠ABF = ∠ABE + ∠EBF

Substituting the given angles into the equation to get the unknown;

8s-6 = 2(s + 11)+ ∠EBF

open the parenthesis

8s-6 = 2s + 22+ ∠EBF

∠EBF = 8s-6-2s-22

collect the like terms

∠EBF = 8s-2s-22-6

∠EBF = 6s-28

factor out the common multiple

∠EBF = 2(3s-14)

<em></em>

<em>Hence the measure of angle ∠EBF is 2(3s-14)</em>

8 0
3 years ago
Please help I don't understand this
Effectus [21]
The correct answer is:  [C]:  " \frac{7}{18}" .
____________________________________________________
Explanation:
____________________________________________________
Given:
____________________________________________________
  
  2 / (9x) = 4 / 7 ;  solve for "x" ;
____________________________________________________

Cross-multiply:

        →   (9x)*4  = 2 * 7 ; 

        →   36x = 14 ; 

Divide each side of the equation by "36" ; 
 to isolate "x" on one side of the equation; & to solve for "x" ; 

        →   36x / 36 = 14 / 36 ; 

                   x = 14/ 36 ; 

                  → x = 14/36 = (14÷2) / (36÷2) = 7/18 ; 
______________________________________________________

The answer is:  " \frac{7}{18}" ;

                       →  which is:  Answer choice:  [C]:  " \frac{7}{18}" .
______________________________________________________
7 0
3 years ago
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