Answer:
Step-by-step explanation:
<em>(1).</em> 
x + y = 9 and y = - 7x <em>( Neither )</em> ; lines intersect.
<em>(2).</em> y = 3x - 3; 12x - 4y = 12 <em>( Neither ) </em>; Lines are overlapped or both equation are of the same line.
<em>(3).</em> 7y = 2x + 1; 14x + 4y = 12 <em>( Perpendicular )</em> ; 
= 
and 
= - 
, slopes are opposite reciprocals.
<em>(4).</em> x - 4y = 18; y = x + 4 <em>( Neither )</em> ; lines intersect.
<em>(5).</em> 3x - 4y = - 1; 3y = - 4x + 5 <em>( Perpendicular )</em> ; = 
and = - 
, slopes are opposite reciprocals.
Answer:
$24,000
Step-by-step explanation:
After putting in trust they have left:
48000 - 9600 = $38,400
If Tori gets 3/8, Akira will get the remaining (1 - 3/8 = 5/8). So Akira will get:
Hence akira will get $24,000
Answer:
x=2
Step-by-step explanation:
3 ln(x) + 2 ln (4)= ln(128)
a ln (b) = ln b^a
In(x^3) + In (4^2)= In(128)
In(x^3) + In (16)= In(128)
ln a + ln b = ln (ab)
In(16x^3) = In(128)
raise each side to the power of e
e^ In(16x^3) = e ^In(128)
e^ ln cancels out
(16x^3) = (128)
divide by 16
(16x^3)/16 = (128)/16
x^3 = 8
take the cube root on each side
(x^3)^1/3 = 8^ 1/3
x =2
Lucy played with mud but needed to help at the farm and her mom is mad
Answer:
f(x) = x² - 3x - 10
Step-by-step explanation:
Given zeros x = - 2 and x = 5, then the corresponding factors are
(x + 2) and (x - 5) , so
f(x) = (x + 2)(x - 5) ← expand using FOIL
= X² - 3X - 10
