Answer:
or 
Step-by-step explanation:
You need to complete the square before you can take the square root of both sides.

Subtract 10 from both sides.

To complete the square, you need to add the square of half of the x-term coefficient to both sides.
The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.



Now we use the square root property, if
, then



or
or 
or 
Answer:

Step-by-step explanation:
Given

Required
Fill in the gap to produce the product of linear expressions

Split to 2

Factorize the first bracket

Represent the _ with X

Factorize the second bracket

To result in a linear expression, then the following condition must be satisfied;

Subtract b from both sides


Multiply both sides by 5


Substitute -15 for X in 




The two linear expressions are
and 
Their product will result in 
<em>Hence, the constant is -15</em>
Answer:
The third choice: (x² - 1)³
Step-by-step explanation:
That is the only expression that is a binomial. Binomial means "two numbers". For this expression, x² is one number, and -1 is the other. Choice 1 is a monomial (one number) and choices 2 and 4 are trinomials (three numbers)
Answer:1/2 y
Step-by-step explanation:
We can solve this using ration reasoning:
x
2
x
1
=
y
2
y
1
Explanation:
If
x
varies directly with
y
(written
x
∝
y
), then doubling
y
means doubling
x
, so the rations of final values and initial values will be the same:
x
2
x
1
=
y
2
y
1
In this case,
x
2
9
=
24
18
x
2
=
9
⋅
24
18
=
12
Or, intuitively, if
x
∝
y
and
x
=
9
when
y
=
18
, we can conclude that
x
=
1
2
y
and
1
2
of 24 is 12.
Answer: 110 -10x
Step-by-step explanation:
You do pemdas
So 11•10 = 110
Then -10•x = -10x
And then you get
110-10x