The easiest way is to graph it based upon the slope (m) and y-intercept (b), in the standard slope-intercept form: y = m (x) + b.
The line above intercepts the y-axis at y = -2, which is b. The slope (m) = rise/run = (y2-y1)/(x2-x1 ); so for the point (-4, 2) to (-6, 4) is:
(4-2)/(-6--4) = 2/(-6+4) = 2/-2 = -1.
So one form of the equation would be:
y = -1x - 2
Now the other form of an equation is point-slope: y-k = m (x-h), where the point is at (h, k)
and if we pick -5 for x (bc 5 it listed in 3 of the answers), the y at x=-5 looks like around +3
so we get: y-k = -1 (x--5)...
y-3 = -(x+5)... therefore D) is the correct answer:
Answer:
4x^2 + 4x + 1=9
4x^2 + 4x - 8=0
Dividing both sides by 4
x^2 + x -2=0
It can be written as
x^2 + 2x - x - 2=0
x(x+2) -1(x+2)=0
taking (x+2) as common on LHS
Then, (x+2)(x-1)=0
Now first equate x+2=0 ie x=-2
then x-1=0 ie x=1
Therefore, x has two values(roots)
that is -2,1
Answer:
the value of x = 3
Step-by-step explanation:
-3 (-5x+2)+x-3=39
open the bracket by multiply each by -3
15x-6+x-3=39
collect the like terms
16x-9=39
16x=39+9
16x=48
divide both sides by 16
x=3
mark me as brainliest pllyyyyzzz
Answer:
5000 ;
11125
Step-by-step explanation:
Given :
Total principal = 16125
Rates = 8.5% and 4%
Period, t = 2 years
Total interest = 1740
Let :
Principal amount invested at 8.5% = x
Principal amount invested at 4% = 16125 - x
Interest formula :
Interest = principal * rate * time
Hence, mathematically ;
(x * 8.5% * 2) + [(16125 - x) * 4% * 2] = 1740
(0.17x + 1290 - 0.08x ) = 1740
0.09x + 1290 = 1740
0.09x = 1740 - 1290
0.09x = 450
x = 450 / 0.09
x = 5000
Amount invested at 4% :
16125 - 5000 = 11125
