Based on the drawing, what is the area of the largest square?

Find the quotient of x-8 over x-10 by inspection.

Andru [333]

$\frac{x-8}{x-10}$

$\frac{x-10+2}{x-10}$

$\frac{x-10}{x-10}+\frac{2}{x-10}$

$1 + \frac{2}{x-10}$

7 0

3 years ago

Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.

liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

$f(x) = \frac{x^2+4x+3}{x^2-x-2}$

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial $x^2-x-2$

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

$(x-2) (x + 1)$

We do the same with the numerator

$x^2+4x+3$

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

$(x+3)(x + 1)$

Therefore

$f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}$

Note that $\frac{(x+1)}{(x+1)}=1$ only if $x \neq -1$

So since $x = -1$ is not included in the domain the function has a discontinuity in $x = -1$

3 0

3 years ago

What is the intersection of the sets A = {2, 5, 6, 14, 16} and B = {1, 3, 6, 8, 14}?

djyliett [7]

Answer:

my brain

Step-by-step explanation:

i cant

what the hell even IS this!

here take this instead.

now I need a Tylenol, u gave me a migraine.

8 0

3 years ago

EASY POINTS ASAP HELP

STatiana [176]

The answer is 10,5 i think

5 0

2 years ago

Read 2 more answers

Y=-7 + 2x how to graph

blondinia [14]

I know for 2x you would go up 2 over 1 but I don’t know about -7?? Maybe down

8 0

2 years ago