120/100 = 1.2
65 * 1.2 = 78
78 - 65 = 13
The vendor will earn $13 in profit.
Answer: 0
Step-by-step explanation: The integers that lie between -2 and 1 are -1 and 0.
∴ The product of -1 and 0 = -1×0 = 0
9514 1404 393
Answer:
x = -1/2, x = 7
Step-by-step explanation:
Written in standard form, the equation is ...
2x² -13x -7 = 0
We observe that factors of (2)(-7) that have a sum of -13 are -14 and +1. Rewriting the middle term using these numbers, we have ...
2x² -14x +x -7 = 0
2x(x -7) +1(x -7) = 0 . . . . . factor pairs of terms
(2x +1)(x -7) = 0 . . . . . . . . factored form
The solutions are the values of x that make these factors zero.
2x +1 = 0 ⇒ x = -1/2
x -7 = 0 ⇒ x = 7
The solutions to the quadratic are x = -1/2 and x = 7.
Note x^2 =y and rewrite this quartile equation in y and will get a quadratic what you need to solve it
f(x) = x^4 +21x^2 -100 note x^2 =y
f(y) = y^2 +21y -100
y^2 +21y -100 = 0
D = 21^2 -4(-100) = 441 +400 = 841
y_1,2 = (-21 +/- sqrt841 )/2 = (-21 +/- 29)/2 = -50/2 = - 25 and 8/2 = 4
so y_1 = - 25 and y_2 = 4
x_1,2 = sqrt(y_1) = sqrt(-25) = +/- 5i
x_3,4 = sqrt4 = +/- 2
hope this will help you
<span>Thus, the standardized form of a quadratic equation is ax2 + bx + c = 0, where "a" does not ... We said that the graph of y = x2 was a function because it passed the vertical line test. .... Find the vertex of the parabola y = 2x2 - 12x + 7. ... To find the y-value, we would substitute 3 in for x, or find f(3) = 2(3) 2 — 12(3) + 7 = -11.</span>