Factor out the GCF of
21
b
2
c
2
from
63
b
2
c
4
+
42
b
3
c
2
.
Tap for fewer steps...
Factor out the GCF of
21
b
2
c
2
from each term in the polynomial.
Tap for fewer steps...
Factor out the GCF of
21
b
2
c
2
from the expression
63
b
2
c
4
.
21
b
2
c
2
(
3
c
2
)
+
42
b
3
c
2
Factor out the GCF of
21
b
2
c
2
from the expression
42
b
3
c
2
.
21
b
2
c
2
(
3
c
2
)
+
21
b
2
c
2
(
2
b
)
Since all the terms share a common factor of
21
b
2
c
2
, it can be factored out of each term.
21
b
2
c
2
(
3
c
2
+
2
b
)
The greatest common factor
GCF
is the term in front of the factored expression.
21
b
2
c
2
Answer:
7
Step-by-step explanation:
It has a 45 45 90 ratio, so if the hypotenuse is 7 root 2, then the two sides have to be 7.
Answer first number = 57 second number = 41
x= 16 + y
x + 2y = 139
16+ y + 2y =139
16 + 3y =139
16-16 +3y = 139-16
3y = 123
3/3y = 123/3
y= 41
x= 16+y
x = 16+41
x= 57
Answer:
The equation will be "
".
Step-by-step explanation:
The given values are:
Started with,
= 75 gallons
After 15 hrs,
Tank has,
= 33 gallons
Now,
The slope will be:
= 
= 
= 
Thus,
The equation is "
".
Answer:
-4 ≤ y ≤ 8
Step-by-step explanation:
The range is the set of y-values for which the function is defined. When we are asked to find the range of a function (given in a graphical form), we look from which y-value (lowest) till which y-value (highest) the function is graphed for (defined for).
First, looking at the y-axis, we see that 5 bars in the coordinates is 10 units, so each bar is :
10/5 = 2 units
Now, looking at the lowest value, we see that it is 2 units from y = 0, so that is at:
y = -2 * 2 = -4
Now, looking at the highest value, we see that it is 4 units from y = 0, so that is at:
y = 4 * 2 = 8
So, the range is from y = -4 to y = 8. This can be written as:
-4 ≤ y ≤ 8
