Answer:
Intercept = - 3 ; slope = 18
Step-by-step explanation:
Given the points :
(3, 51) ; (5, 87)
x1 =3, y1 = 51, x2 = 5 ; y2 = 87
Slope intercept relation:
y = mx + c
m = slope ; c = intercept ; x and y are x, y vlayes respectively
Slope (m) = (y2 - y1) / (x2 - x1)
Slope (m) = (87 - 51) / (5 - 3)
Slope = 36 / 2
Slope (m) = 18
The intercept c :
m = 18 ; x = 5 ; y = 87
Substitute values into the slope intercept formula :
87 = 18(5) + c
87 = 90 + c
c = 87 - 90
c = - 3
Intercept = - 3
As 64 is a perfect cube, the coefficient part does not present any problems. However, for the variable with an exponent, it is easier to obtain the cube root by multiplying the exponent by (1/3), since the cube root operator is equivalent to raising a number to the power of (1/3). This is shown below:
cube root (64x^12) = 4 * x^(12)(1/3) = 4 *x^4
Therefore, the answer is 4x^4.
Answer:
0.05
Step-by-step explanation:
When you subtract 1 3/4 by 0.25, as a decimal is 1.5 and when you divide 1.5 by 30, you'll get 0.05.
Tell me if I'm wrong or not.
Answer:For this item, we let x and y be the number of bushels of apple that will be used to produce apple cider and apple juice, respectively. The situation above is best represented by the following equations,
x + y = 18
20x + 15y = 330
The values of x and y from the equations above are 12 and 6, respectively. Therefore, 12 bushels will be used to make apple cider and 6 bushels will be used to make apple juice.
Step-by-step explanation:
