Which is the graph of f(x) =2(3)x^
2 answers:
Answer:
the first graph on the left
Step-by-step explanation:
Substitute the x- coordinate of the point indicated on the graph into the equation and check that this gives the value of the y- coordinate
(1, 6) ⇒ f(1) = 2 = 2 × 3 = 6 ← correct
(1, 9) gives y = 6 ≠ 9 ← not valid
(2, 8) ⇒ f(2) = 2 = 2 × 9 = 18 ≠ 8 ← not valid
(2, 12) gives y = 18 ≠ 12 ← not valid
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Answer:
x = 5.5
Step-by-step explanation:
Given 2 secants intersecting the circle from a point outside the circle then
The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
x(x + 14) = 6(6 + 12)
x² + 14x = 6 × 18 = 108 ( subtract 108 from both sides )
x² + 14x - 108 = 0 ← in standard form
with a = 1, b = 14 and c = - 108
Using the quadratic formula to solve for x
x = ( - b ± ) / 2a
= ( - 14 ± ) / 2
= ( - 14 ± ) / 2
= ( - 14 ± ) / 2
x = or x =
x = - 19.5 or x = 5.5 ( to 1 dec. place )
However x > 0 ⇒ x = 5.5