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3 years ago

-20 = x/8 -8) oh ya and please subscribe to michadsen tv

Mathematics

1 answer:

Zinaida [17]3 years ago

7 0

-20 = x/8 -8) oh ya and please subscribe to iwpp

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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

The ratio of lime juice to soy sauce in a salad dressing is 8: 9 .The total of both ingredients is 51 tablespoons . How many tab

Anna35 [415]

47 table spoons would be the answer

5 0

3 years ago

Solve for the variable a D =a+b-c/3

yuradex [85]

Hey there,
solving for a is just like you think of all other letter as a constant
i.e the only variable is a
so you need to subtract b as a start
d=a+b-c/3
-b -b
=============

-b+d=a-c/3 now it's time to add c/3 (isolate a by itself in one side)

-b+d=a-c/3
+c/3 +c/3
==============
c/3-b+d=a

Hence you have solved for a

4 0

3 years ago

Write the standard equation for the circle

saw5 [17]

Answer:

The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.

Step-by-step explanation:

3 0

2 years ago

MIRCrence.

lianna [129]

Ok so maybe add or subtract the numbers and see what u get :) I calculated it