As in decimal it would be 0.4 but if you want a fraction it could be 4/10
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thus the given equation is a linear equation in two variables ...
thus ploting a table we get as ...
y = -5x + 3
there fore
1) at y=0 , x = 3/5 .... 0 = -5x +3
= -5x = -3 ..thus X = 3/5
2) at x=0 , y= 3 ...
y = -5 (0) + 3 = 3
3) at X =1 , y = -2
4) at y=1 , x = 2/5
Answer:
Step-by-step explanation:
Remember that the vertex form of a parabola or quadratic equation is:
y=a(x-h)^2+k, where (h,k) is the "vertex" which is the maximum or minimum point of the parabola (and a is half the acceleration of the of the function, but that is maybe too much :P)
In this case we are given that the vertex is (1,1) so we have:
y=a(x-1)^2+1, and then we are told that there is a point (0,-3) so we can say:
-3=a(0-1)^2+1
-3=a+1
-4=a so our complete equation in vertex form is:
y=-4(x-1)^2+1
Now you wish to know where the x-intercepts are. x-intercepts are when the graph touches the x-axis, ie, when y=0 so
0=-4(x-1)^2+1 add 4(x-1)^2 to both sides
4(x-1)^2=1 divide both sides by 4
(x-1)^2=1/4 take the square root of both sides
x-1=±√(1/4) which is equal to
x-1=±1/2 add 1 to both sides
x=1±1/2
So x=0.5 and 1.5, thus the x-intercept points are:
(0.5, 0) and (1.5, 0) or if you like fractions:
(1/2, 0) and (3/2, 0) :P
Answer:
$25.20
Step-by-step explanation:
10%= 2.4 because you divide 24 by 10
So 5%= half 2.4= 1.2
24+1.2=25.20
