Answer: 14
Step-by-step :x +3 y = 15 , 2 x -y =14
but let me know if it's right ok
so we know she has sculptures and paintings, if she sold twice as many paintings as sculptures, that means that for every 2 paintings, she sold 1 sculpture, so the paintings and sculptures are on a 2:1 ratio.
we know she sold a total of 57, so we'll need to split 57 in a 2:1 ratio, we'll simply divide the whole amount of 57 by (2+1) and distribute accordingly.
Well, using the current level function of g(x), the player on level 4 will then need 7(3)⁴-1 to get to the next level.
however, if the player is using the hardest setting, the hardest setting promises to quadruple any points on the current level, so, he/she will only need a quarter of 7(3)⁴-1.
now, 7(3)⁴-1 is 566, however, you don't need all 566 in hardest setting, you can do with only 566/4, since the hardest setting will give you 4x or quadruple of the amount of points.
When the solid is a cube,its volume is equal to its side raised to the power of 3. The equation is written below:
V = s³
Since 1,000 is raised to the power of 3, then it means that the side length is equal to 1,000 inches. The base of the cube is also a square. Thus, its area is s². Note that there are 12 inches in 1 ft.
A = (1000 in * 1ft/12 in)² = 6,944.44 ft²
Thus, the area of the base is greater than 1 square foot.
The equation of an ellipse is:
(x-h)²/a² + (y-k)²/b², where h, k are the coordinates of the center, a & b represent half of the major & minor axis respectively.
The given equation is:
x²/100 + y²/36 = 1.( a =10 and b = 6)
CENTER: Since h and k = 0, then the center of this ellipse is the origin (0,0)
VERTICES: a² = 100, → a = +10 and a = -10, then the right vertex is (10,0) and the left vertex is (-10,0)
FOCI: The distance "c" from the center to the focus is given by the following:
c² = a² - b²
c² = 100 - 36 = 64 and c = +8 and - 8
The coordinate of the right focus F₁(8,0) and F₂(-8,0) for the left focus
