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3 years ago

Consider the system of inequalities x < 10 and x > 3

Mathematics

1 answer:

podryga [215]3 years ago

8 0

Answer:

There are 6 different solutions. The largest value of x in the solution set is 9.

Step-by-step explanation:

X has to be less than 10 and greater than 3. So it has to be 4 5 6 7 8 or 9

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I need this answer as fast as you can and explain simple

blondinia [14]

Answer:

Step-by-step explanation:

(b-3)(b-3) would equal (b^2–6b+9), when using the foil method.

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3 years ago

What must be added to the expression below to make it a perfect square trinomial? *

artcher [175]

I think the answer is 24

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4 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 $x = -1$

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3 years ago

How to write 6.7 different ways

brilliants [131]

6.7
6 7/10
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3 years ago

5 Divided by (1200+700)

solmaris [256]

Answer:

380

Step-by-step explanation:

1200 + 700 = 1900/5 = 380

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3 years ago