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scoray [572]
3 years ago
7

which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function? a. the graph of f(x) pass

es the vertical line test. b. f(x) is a one-to-one function. c. the graph of the inverse of f(x) passes the horizontal line test. d. f(x) is not a function.
Mathematics
2 answers:
Mars2501 [29]3 years ago
8 0
B- f(x) is a one-to-one function
alex41 [277]3 years ago
4 0
F(x) is a one-to-one function.
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Use synthetic division to solve (x3 + 1) ÷ (x – 1). What is the quotient?
Fofino [41]

Answer:

x^2 + x + 1 + (2/ x -1)

Step-by-step explanation:

Use the divisor and find x :

x - 1 = 0  **add 1

x= 1

Now we will use the 1 in dividing:

take the coefficients from in front of all terms

  ** make sure you include 0's for x^2 and x since you have to have all terms

set it up with a 1 in a box:

1|  1   0   0  1   **bring the first number down

____________

    1                    **multiply the boxed number by the first number and add it                                 to the second number

1|  1   0   0  1  

____+1_____       **repeat with the rest of the terms

    1   1  

1|  1   0    0    1

 ___+1_+1_+1  

    1   1    1    2                              

**when you're done, use the new numbers to write an equation starting with a term with a degree one less than the previous equation.

**since there is a remainder, rewrite it divided by the original divisor

final answer:

x^2 + x + 1 + (2/ x -1)

8 0
3 years ago
Read 2 more answers
Help Idk the way to do it
Kaylis [27]

Answer:

x=3

Step-by-step explanation:

If the triangles are congruent

13 = 4x+1

subtract 1 from each side

13-1 = 4x+1-1

12=4x

Divide by 4

12/4 = 4x/4

3=x

6 0
3 years ago
Read 2 more answers
MATH HELP PLEASE ANSWER ASAP
irga5000 [103]

Step-by-step explanation:

QR = 1.5

TS = 2

TP = 3.8

RS = 1.4

PQ = 2.6

5 0
3 years ago
What would a model with two twenties and two fives equal
topjm [15]
It would all equal 70
5 0
4 years ago
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Which equation has x = -i and x = = 21v3 as two of its solutions?
Drupady [299]

Answer:

The equation in option A is correct.

Step-by-step explanation:

Given the equation

\:y=x^4+13x^2+12

Let us find the solution by setting y=0

x^4+13x^2+12=0\:\:\:\:\:

\mathrm{Rewrite\:the\:equation\:with\:}u=x^2\mathrm{\:and\:}u^2=x^4

u^2+13u+12=0

if ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

u+1=0\quad \mathrm{or}\quad \:u+12=0

u=-1,\:u=-12

\mathrm{Substitute\:back}\:u=x^2,\:\mathrm{solve\:for}\:x

x^2=-1,\:x^2=-12

solving

x^2=-1

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

x=\sqrt{-1},\:x=-\sqrt{-1}

x=i,\:x=-i            ∵ \:\sqrt{-1}=i

solving

x^2=-12

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

x=\sqrt{-12},\:x=-\sqrt{-12}

x=2\sqrt{3}i,\:x=-2\sqrt{3}i

Hence, the solutions are:

x=i,\:x=-i,\:x=2\sqrt{3}i,\:x=-2\sqrt{3}i

Therefore, the equation in option A is correct.

6 0
3 years ago
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