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Answer:
y = (x - 3)² - 3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
add/subtract (half the coefficient of the x- term )² to x² - 6x
Given
y = x² - 6x + 6
= x² + 2(- 3)x + 9 - 9 + 6
= (x - 3)² - 3 ← in vertex form
Answer:
We only need one simple theorem for this.
Theorem 7 - The Exterior Angle Theorem: An exterior angle of a triangle is equal to the sum of the two remote interior angles.
So in this case, the measurement of the exterior angle is (45x)°, and the interior angles are (25x)° and (57 + x)°.
=> Therefore, we have:
25x + (57 + x) = 45x
25x + x - 45x = - 57
-19x = -57
x = -57/(-19) = 3
So x = 3
It might be 150 if u divide by 2 but I’m not sure
Answer:
We have 3% and 7% solutions. (We'll call these x and y)
We need 64 ml of 6% solution.
Setting up two equations:
A) x + y = 64 ml
B) .03x + .07y = (.06 * 64)
Multiplying A) by -.03
A) -.03x -.03y = -1.92 then adding this to B)
B) .03x + .07y = 3.84
.04y = 1.92
y = 1.92 / .04 = 48 ml of 7% solution
x = 16 ml of 3% solution
DOUBLE-CHECK
16 * .03 + 48 * .07 = 3.84 ml in 64ml
3.84 / 64 = .06 per cent!!
Source: https://www.1728.org/mixture.htm
Step-by-step explanation:
