Hey i have a question i need help with this it says...

Mathematics

2 answers:

dem82 [27]2 years ago

5 0

Answer:

8 cups = 2 quarts

Step-by-step explanation:

rewona [7]2 years ago

4 0

Answer:

Eight cups will give you 2 quarts of water

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How do I factor (x^2 + 1)^1/2 +2(x^2 + 1)^1/2

professor190 [17]

$(x^{2} + 1)^{ \frac{1}{2}} + 2((x^{2} + 1)^{ -\frac{1}{2}}) \\\\ Take \ out \ (x^{2} + 1)^{ \frac{1}{2}} \ like \ so: \\\\ (x^{2} + 1)^{ \frac{1}{2}}(1 + 2(x^{2} + 1)^{ -1}) \\\\ = (x^{2} + 1)^{ \frac{1}{2}}(1 + \frac{2}{(x^{2} \ + \ 1)}) \\\\ = (x^{2} + 1)^{ \frac{1}{2}}(\frac{2 \ + \ (x^{2} \ + \ 1)}{(x^{2} \ + \ 1)}) \\\\ = (x^{2} + 1)^{ \frac{1}{2}}(\frac{(x^{2} \ + \ 3)}{(x^{2} \ + \ 1)}) \\\\ = \frac{(x^{2} \ + \ 1)^{ \frac{1}{2}}(x^{2} \ + \ 3)}{(x^{2} \ + \ 1)} \\\\$
This is what I would think to do with such an expression;
It should be alright to leave it as it is on the last line as this should be its simplest form;
But, you could write it out as:
$\frac{(x^{2} \ + \ 3)}{(x^{2} \ + \ 1)^{ \frac{1}{2}}} \\\\
= \frac{(x^{2} \ + \ 3)}{ \sqrt{(x^{2} \ + \ 1)}}$

5 0

3 years ago

When a trinomial is factored as (x+m)(x+n), what is the sum of m and n?

lisabon 2012 [21]

Hello :
(x+m)(x+n) =x² +mx +nx +mn
a trinomial is factored as (x+m)(x+n) is : x² +(m+n)x +mn

A. The degree of the trinomial : 2

B. The constant term of the trinomial : mb

C. The coefficient of the x-term of the trinomial : m+n

D. The coefficient of the x^2-term of the trinomial : 1

3 0

3 years ago

Need help here plss

goldenfox [79]

Answer:

see below

Step-by-step explanation:

Thankfully, these inequalities are already simplified, so all we have to do here is graph the inequalities as they are.

To graph y > 2x - 3, first draw the line y = 2x - 3. Make sure to make the line dashed because the sign is ">", which means that the points on the line do not belong to the solution set. Now, we need to figure out which side of the line to shade on. Since the sign is ">", that means that we will shade "above" the line, or on the left side of it. (This is the blue area in the image.)

Repeat a similar process to graph y < x + 1. As usual, first draw the line y = x + 1, and again, make it a dashed line since the sign is "<". And since the sign is "<", that means that we will shade "below" the line, or on the right side of it. (This is the red area in the image.)

The solution set to this system is the area where the two shaded areas overlap, which is the purple area in the image below. Hope this helps!