Answer:
See below.
Step-by-step explanation:
x^2 = y + 16
4y - 1 = 7x
are the 2 equations. (answer)
From the second equation
4y = 7x + 1
y = 7/4 x + 1/4
Substituting in the first equation:
7/4x + 1/4 + 16 = x^2
x^2 - 7/4 x - 16 - 1/4 = 0
x^2 - 7/4 x - 16 1/4 = 0
Multiplying though by 4
4x^2 - 7x - 65 = 0
Using the ac method to solve this 4 * -65 = -260 and we need factors of this to add up to -7. -20 and 13 look good so we write:
4x^2 - 20x + 13x - 65 = 0
Fatcor by grouping:
4x(x - 5) + 13(x - 5) = 0
(4x + 13)(x - 5) = 0
So the the roots are 5, -3.25
To find the values of y we substitute these values of x into the second equation:
x = 5: 4y - 1 = 7*542y = 36
y = 9.
x = -3.25:
4y - 1 = 7*-3.25
4y = (7 * -3.25) + 1
y = -5.44.
So the solutions are (5, 9) and (-3.25, -5.44) (Answer)
Answer:
294, 384
Step-by-step explanation:
Answer:
you can buy 28 juice boxes, with 20 cents as change
Step-by-step explanation:
Answer:
66
Step-by-step explanation:
mean = the sum of the value / the number of the value
when we calculate the some must be 385 so the sum of the given value gives 319 so to reach the average 77 she must score 66
