Answer:
Second choice:


Fifth choice:


Step-by-step explanation:
Let's look at choice 1.


I'm going to subtract 1 on both sides for the first equation giving me
. I will replace the
in the second equation with this substitution from equation 1.

Expand using the distributive property and the identity
:




So this not the desired result.
Let's look at choice 2.


Solve the first equation for
by dividing both sides by 2:
.
Let's plug this into equation 2:



This is the desired result.
Choice 3:


Solve the first equation for
by adding 3 on both sides:
.
Plug into second equation:

Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:



Not the desired result.
Choice 4:


I'm going to solve the bottom equation for
since I don't want to deal with square roots.
Add 3 on both sides:

Divide both sides by 2:

Plug into equation 1:

This is not the desired result because the
variable will be squared now instead of the
variable.
Choice 5:


Solve the first equation for
by subtracting 1 on both sides:
.
Plug into equation 2:

Distribute and use the binomial square identity used earlier:



.
This is the desired result.
Answer:
I think is 11/90.
Step-by-step explanation:
Answer:
9 and 11
Step-by-step explanation:
So let's say that the first integer is x.
That means that the second integer is x+2, since it us the next odd number.
This problem can be easily solved with our mind the answer is 9 and 11, but I'll show you the steps to slove this.
We make an equation using these two numbers:

Now all we gotta do is solve for x:

Now we use either splitting the middle term or quadratic formula:

Now we split each terma and solve for x:

Now the question states <em>positive </em>so we can rule out x = -11.
Now we have the first integer x = 9,
the second integer is x+2 = 9+2 =11
So the two consecutive positive odd integers are 9 and 11
f(x) = (x + 5)(x - 1)
using the ' factor theorem '
given x = a is the root of a polynomial then (x - a ) is a factor
here roots are x = - 5 and x = 1 hence factors are (x + 5) and (x - 1)
the polynomial is the product of the factors
f(x) = (x + 5)(x - 1)
Answer:
= 1/2
Step-by-step explanation:
- 1/8 + 3/8 - 5/8 + 7/8 = ?
2/8 - 5/8 +7/8
-3/8 + 7/8
= 4/8 --> (simply) =1/2
Hope it was helpful! If you are unsure about something or my answer is wrong then please let me know so I fix my mistakes! Also a good website to use is Desmos Scientific Calculator to check your answer!