Here you have two terms connected by the "subtraction" symbol.
The two coefficients are 2 and 32, and one factor common to both of these is 2. Thus, <span>2x^2-32y^2 = 2(x^2-16y^2).
You could stop here. But it'd make more sense to continue, since x^2-16y^2 is easy to factor:
The three factors of </span><span>2x^2-32y^2 are 2, x-4 and x+4</span>
Answer:
240
Step-by-step explanation:
240 times 0.15 (15%) is 36
Answer:
Total charge
=
$
4.25
+
$
1.50
(
m
−
1
)
Total charge for 12 miles
=
$
20.75
Explanation:
Building the rule
The trick with algebra is to think what you would do with numbers, then substitute letters.
Mile number 1 costs
$
4.25
The rest of the miles
⇒
(
total miles
−
1
)
×
$
1.50
Putting this all together we have:
$
4.25
+
(
total miles
−
1
)
×
$
1.50
The question instructs that we are to use the letter m for the total miles so we now have:
$
4.25
+
(
m
−
1
)
×
$
1.50
This would be written as:
$
4.25
+
$
1.50
(
m
−
1
)
So
Total charge
=
$
4.25
+
$
1.50
(
m
−
1
)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Determine the charge for 12 miles
Total charge
=
$
4.25
+
$
1.50
(
12
−
1
)
Total charge
=
$
4.25
+
$
1.50
(
11
)
Total charge for 12 miles
=
$
4.25
+
$
16.50
=
$
20.75
Hope this helps you...
:)
Answer:
The factors of given expression are 10+10√2 and 10-10√2.
Step-by-step explanation:
We have given a quadratic expression.
s²-20s-100
We have to find factors of given expression.
We use quadratic formula to find factors.
x = (-b±√b²-4ac) / 2a
From given expression, a = 1 , b = -20 and c = -100
Putting values in above formula, we have
x = (-(-20)±√(-20)²-4(1)(-100) ) / 2(1)
x = (20±√400+400 ) / 2
x = (20±√800) / 2
x = (20± √400×2) / 2
x = (20±20√2) / 2
x = 10±10√2
Hence, the factors of given expression are 10+10√2 and 10-10√2.
Answer:
8
Step-by-step explanation:
