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stiks02 [169]
3 years ago
8

ANSWER FAST PLEASE!!

Mathematics
2 answers:
matrenka [14]3 years ago
5 0

Answer:

D

Step-by-step explanation:

D is a function because it passes the vertical line test, meaning that you can draw a vertical line anywhere through the graph and it will only it the lines one time.

dezoksy [38]3 years ago
3 0

Answer:

D u welcome

Step-by-step explanation:

I'm cant say step by step

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Two problems here I need solved! I need every step, so please have that with your answers!!
Free_Kalibri [48]
QUESTION 1

We want to solve,

\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-6x+8}

We factor the denominator of the fraction on the right hand side to get,

\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-4x - 2x+8}.

This implies
\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x(x-4) - 2(x - 4)}.

\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{(x-4)(x - 2)}

We multiply through by LCM of
(x-4)(x - 2)

(x - 2) + x(x-4) = 2

We expand to get,

x - 2 + {x}^{2} - 4x= 2

We group like terms and equate everything to zero,

{x}^{2} + x - 4x - 2 - 2 = 0

We split the middle term,

{x}^{2} + - 3x - 4 = 0

We factor to get,

{x}^{2} + x - 4x- 4 = 0

x(x + 1) - 4(x + 1) = 0

(x + 1)(x - 4) = 0

x + 1 = 0 \: or \: x - 4 = 0

x = - 1 \: or \: x = 4

But
x = 4
is not in the domain of the given equation.

It is an extraneous solution.

\therefore \: x = - 1
is the only solution.

QUESTION 2

\sqrt{x+11} -x=-1

We add x to both sides,

\sqrt{x+11} =x-1

We square both sides,

x + 11 = (x - 1)^{2}

We expand to get,

x + 11 = {x}^{2} - 2x + 1

This implies,

{x}^{2} - 3x - 10 = 0

We solve this quadratic equation by factorization,

{x}^{2} - 5x + 2x - 10 = 0

x(x - 5) + 2(x - 5) = 0

(x + 2)(x - 5) = 0

x + 2 = 0 \: or \: x - 5 = 0

x = - 2 \: or \: x = 5

But
x = - 2
is an extraneous solution

\therefore \: x = 5
7 0
3 years ago
What is the sum ? I can do it
love history [14]
6x^7 + 8x^7 = 14x^7 <==
3 0
3 years ago
Read 2 more answers
A text message plan costs ​$4 per month plus ​$0.32 per text. Find the monthly cost for x text messages.
krok68 [10]

Answer:

4 + 0.32x  

Step-by-step explanation:

       0.32 = cost of one text message

     0.32x = cost of x text messages

4 + 0.32x = monthly cost of x text messages

6 0
3 years ago
Read 2 more answers
Carmen spent a total of $60 at the grocery store. of this amount, she spent $57 on fruit. What percentage of the total did she s
sdas [7]
The easiest way to determine the answer is to just divide $57/$60 = 0.95 or 95%
7 0
2 years ago
The radius of a circle is 2 units what is the diameter of the circle
Ne4ueva [31]

Answer:

4 units

Step-by-step explanation:

The radius of a circle is half the diameter of a circle

Have fun!!

8 0
3 years ago
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