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3 years ago

The y-intercept repesents the solutuions of a polynomial true or false

1 answer:

7 0

Answer: False

The x intercepts represent the roots or solutions of a polynomial equation. It is possible to have more than one solution.

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For f(x) = √x-3 find f(f^-1(4))

vlada-n [284]

Answer:

Step-by-step explanation:

f⁻¹(x) = x²+3, but none of that matters, since f(f⁻¹(x)) = x

3 0

3 years ago

Solve the following congruence equations for X a) 8x = 1(mod 13) b) 8x = 4(mod 13) c) 99x = 5(mod 13)

xxMikexx [17]

Answer:

a) 5+13k where k is integer

b) 20+13k where k is integer

c)12+13k where k is integer

Step-by-step explanation:

(a)

$8x \equiv 1 (mod 13) \text{ means } 8x-1=13k$ .

8x-1=13k

Subtract 13k on both sides:

8x-13k-1=0

Add 1 on both sides:

8x-13k=1

I'm going to use Euclidean Algorithm.

13=8(1)+5

8=5(1)+3

5=3(1)+2

3=2(1)+1

Now backwards through the equations:

3-2=1

3-(5-3)=1

3-5+3=1

(8-5)-5+(8-5)=1

2(8)-3(5)=1

2(8)-3(13-8)=1

5(8)-3(13)=1

So compare this to:

8x-13k=1

We see that x is 5 while k is 3.

Anyways 5 is a solution or 5+13k is a solution where k is an integer.

$8x \equiv 4 (mod 13)$

8x-4=13k

Subtract 13k on both sides:

8x-13k-4=0

Add 4 on both sides:

8x-13k=4

We got this from above:

5(8)-3(13)=1

If we multiply both sides by 4 we get:

8(20)-13(12)=4

So x=20 and 20+13k is also a solution where k is an integer.

[tex]99x \equiv 5 (mod 13)[/tex

99x-5=13k

Subtract 13k on both sides:

99x-13k-5=0

Add 5 on both sides:

99x-13k=5

Using Euclidean Algorithm:

99=13(7)+8

13=8(1)+5

Go back through the equations:

13-8=5

13-(99-13(7))=5

8(13)-99=5

99(-1)+8(13)=5

Compare this to 99x-13k=5 and see that x=-1 or -1+13=12 or 12+13k is a solution where k is an integer.

8 0

2 years ago

Read 2 more answers

Write the equation of a line that has a slope of 1/2 and passes through (6, -4). Write your answer in slope-intercept form. PLEA

Tems11 [23]

Answer:

y = 1/2x - 7

Step-by-step explanation:

y = 1/2x + b

-4 = 1/2(6) + b

-4 = 3 + b

-7 = b

8 0

3 years ago

Please answer & explain this

sdas [7]

Parallel lines have the same slope.

To compare the slopes of two different lines, you have to get
both equations into the form of
y = 'm' x + (a number) .

In that form, the 'm' is the slope of the line.
Notice that it's the number next to the 'x' .

The equation given in the question is    y = 3 - 2 x .
Right away, they've done something to confuse you.
You always expect the 'x' term to be right after the 'equals' sign,
but here, they put it at the end. The slope of this line is the -2 .

Go through the choices, one at a time.
Look for another one with a slope of -2 .
Remember, rearrange the equation to read ' y = everything else ',
and then the slope is the number next to the 'x'.

Choice #4: y = 4x - 2 . The slope is 4 . That's not it.

Choice #3: y = 3 - 4x . The slope is -4 . That's not it.

Choice #2).   2x + 4y = 1

Subtract 2x from each side: 4y = 1 - 2x

Divide each side by 4 : y = 1/4 - 1/2 x .

   The slope is -1/2. That's not it.

Choice #1).   4x + 2y = 5

Subtract 4x from each side: 2y = 5 - 4x

Divide each side by 2 :    y = 5/2 - 2 x .

   The slope is -2 .
   This one is it.
This one is parallel to y = 3 - 2x ,
   because they have the same slope.

4 0

3 years ago

If AB is 12, what is the length of A'B'?

lukranit [14]

Triangles ABC and A'B'C are similar. This means that the corresponding sides are in the same ratio, in this case:

$\frac{BC}{B^{\prime}C}=\frac{AC}{A^{\prime}C}=\frac{AB}{A^{\prime}B^{\prime}}$

Replacing with data:

$\begin{gathered} \frac{9}{6}=\frac{12}{A^{\prime}B^{\prime}} \\ 9\cdot A^{\prime}B^{\prime}=12\cdot6 \\ A^{\prime}B^{\prime}=\frac{72}{9} \\ A^{\prime}B^{\prime}=8 \end{gathered}$

7 0

11 months ago