Answer:
A
Step-by-step explanation:
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x + y = 6
Answer:
y=3
x=3
Step-by-step explanation:
2x +3y=15
2x-2y=-12
y=3
x=3
Answer:
-5n = 7 - 5(n - 5) - 32 is an identity, meaning it is true for all values of n.
Step-by-step explanation:
First, simplify the equation by distributing the -5 on the right side:
-5n = 7 - 5n + 25 - 32
Next, combine like terms on the right side of the equation:
-5n = (7 + 25) - (5n + 32)
-5n = 32 - 5n - 32
Now, notice that the terms "-5n" and "+5n" on the right side cancel each other out:
-5n = -5n
Since the left side is equal to the right side, the equation is true for all values of n. In other words, there is no specific value of n that satisfies the equation; it holds true for any value of n.
So, the equation -5n = 7 - 5(n - 5) - 32 is an identity, meaning it is true for all values of n.
(1 point)
determined by
greater than
equal to
less than
Answer:Explanation:
Step-by-step explanation:Explanation:
We have that
6
x
2
+
19
x
+
15
=
6
x
2
+
10
x
+
9
x
+
15
=
2
x
⋅
(
3
x
+
5
)
+
3
⋅
(
3
x
+
5
)
=
(
2
x
+
3
)
⋅
(
3
x
+
5
)
Answer:
Step-by-step explanation:
6x² + 19 x +15 can be factor as (x-root1 )( x-root2)* coefficient of x²
use quadratic equation to fid the roots, x = (-b±√b²-4ac)/2a
6x² + 19 x +15 =0
x= (-19 ±√19²-4*6*15) / 2*6
x= (-19 ± √1)/ 12
x= (-19+ 1)/12 = -18/12 = -3/2
and
x= (-19-1)/12 = -20/12 = -5/3
6x² + 19 x +15 = 6*(x+(3/2)) (x+(5/3))
the length and with of the rectangle could be any combination of the factors of 6 and the (x+(3/2)) (x+(5/3))
if we consider 6 =2*3 we have length and width 2x+3 and 3x+5
because 2*[x+(3/2)]*3[ x+(5/3)]
if we consider 6 = 3*2 we have length and width 3x+(9/2) and 2x+(10/3)
because 3*[x+(3/2)]*2[ x+(5/3)]
if we consider 6= 6*1 we have length and width 6x+9 and x+(5/3)
because 6*[x+(3/2)]*1[ x+(5/3)]
if we consider 6= 1*6 we have length and width x+(3/2) and 6x+10
because 1*[x+(3/2)]*6[ x+(5/3)]