Answer:
2/4 or 3/6
Step-by-step explanation:
Answer:
x=3; y=3
Step-by-step explanation:
y = -1/2 x + 9/2
so if we multiply by 2 on both sides
2y = -x + 9
and we know that y = 3x-6
so we get
2(3x-6)=-x+9
6x-12 = - x + 9
7x = 21
x = 3
y = 3 * 3 - 6
y=3
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x=3, y=3
You put them in the equation and they should work.
=D
Well, you can ask yourself what is half of eight and thats it. btw 5/8 is larger
Answer:
1. The size of shift from function f to function g is -12
2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.
Step-by-step explanation:
Parent function: f(x)=2^x
x=0→f(0)=2^0→f(0)=1
x=1→f(1)=2^1→f(1)=2
x=2→f(2)=2^2→f(2)=4
x=3→f(3)=2^3→f(3)=8
x=4→f(4)=2^4→f(4)=16
Size of the shift from function f to function g: s
s=g(0)-f(0)=-11-1→s=-12
s=g(1)-f(1)=-10-2→s=-12
s=g(2)-f(2)=-8-4→s=-12
s=g(3)-f(3)=-4-8→s=-12
s=g(4)-f(4)=4-16→s=-12
Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:
s2=s/2→s2=(-12)/2→s2=-6
x h(x)
0 1+(-6)=1-6=-5
1 2+(-6)=2-6=-4
2 4+(-6)=4-6=-2
3 8+(-6)=8-6=2
4 16+(-6)=16-6=10
1) 180°. All the interior angles in a triangle ALWAYS add to 180°.
2) x = 60°. As stated in 1), all angles in a traingle add to 180° so knowing this, x = 180 - 70 - 50 = 60°.
3) <A = 90, <B = 60, <C = 30. Knowing that all angles in a traingle add to 180, we can make an equation. 6x + 4x + 2x = 180 or 12x = 180. This means x is 15°. Now we just need to multiply it. 6x = 90, 4x = 60 and 2x = 30.
