Answer:
x = 4
Step-by-step explanation:
3x + 2y = 26
y = x + 3
Plug in the equation for y
3x + 2(x + 3) = 26
Multiply the 2 with what is in the parantheses
3x + 2x + 6 = 26
Combine like terms and solve for x
5x + 6 = 26
5x = 20
x = 4
7. the last one
I = P R T
I = 15.75 P = 500 R = unknown T = 6
15.75 = 500 (r) (6)
divide the T and I
15.75 ÷ 6 = 500 (r) (6) ÷6
2.62 = 500 (r) *get rid of the six*
divide the P with new answer
2.62 ÷ 500 = 500 ÷ 500 *get rid of 500*
0.00524 = r
move decimal to make it in to a percentage
5.24% = R
1/3 or 5/6
Lets make the fractions into decimals. To make a fraction into decimal you have to divide the numerator by the denominator. The numerator is the top part of a fraction and the denominator is the bottom part of the fraction.
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Calculations
1/3
1 ÷ 3 = 0.3333....
5/6
5 ÷ 6 = 0.83333...
0.83333... is greater then 0.3333.....
Therefore 5/6 is greater then 1/3
1/3 is smaller then 5/6
<span> we have that
standard form of equation for parabola:
(x-h)^2=-4p(y-k)
(h,k) --------->being the (x,y) coordinates of the vertex.
Parabola opens downwards because focus is below vertex on the axis of symmetry.
For given problem:
</span><span>vertex: (-3,2)
axis of symmetry: x=-3
p=distance from vertex to focus on the axis of symmetry=2-(-1)=3
4p=12
Directrix: y=2+p=5
Equation:
(x+3)^2=-12(y-2)
the answer is </span>(x+3)^2=-12(y-2)
