Answer: it has no solution
Step-by-step explanation:
8x - 2y = 1 ..................... equation 1
-4x + y = 3 ...................... equation 2
solving the system of linear equation by substitution method . From equation 2 , make y the subject of the formula.
y = 3 + 4x .......................... equation 3
substitute equation 3 into equation 1 .
8x - 2(3 + 4x ) = 1
8x - 6 - 8x = 1
8x- 8x - 6 = 1
-6 = 1
this means that the equation has no solution
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:
A=hb b/2
Step-by-step explanation:
area=height(sub)base times base divided by 2
Answer:
943,281
Step-by-step explanation:
Just move the 3 up a value
If it's in the ten's place, then move it to the hundred's place value.
If it's in the hundred's place, then move it to thousand's place value.
So on and so on...
100-30=70-50=20
there's your equation
