Answer:
216
Step-by-step explanation:
Plug in 1 to f(x). 2(1) + 4 = 6
Plug that answer in to h(x).
6^3 = 6*6*6 = 216
Answer:
(4, - 7)
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
f(x) = (x - 4)² - 7 ← is in vertex form
with (h, k) = (4, - 7 ) ← vertex
mary + mom = 36
mom = 5x mary
mary + 5mary = 36
6 mary = 36
mary = 36/6 =6
mary is 6 years old
her mother is 5 x 6 = 30 years old
Answer:
Option (1)
Step-by-step explanation:
Lines given in the graph represent the piecewise function,
We will find the domain of the given pieces in each quadrant of the graph.
For a line in quadrant 2,
Domain (set of x-values) → [-4, -2]
For second line in the same quadrant,
Domain : [-1, 0]
For a line in quadrant 4,
Domain : [1, 3]
Therefore, Option (1) is the correct option,
Option (1). 1 ≤ x ≤ 3
Answer:
x = 6.8
Step-by-step explanation:
The angle where the tangent meets the diameter is a right angle. This means the triangle is a right triangle and the Pythagorean theorem applies.
x² = 3.2² +6² . . . . . . . . the radius is 3, so the diameter is 6
x² = 46.24
x = √46.24 = 6.8
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<em>Additional comment</em>
This is an 8-15-17 right triangle, scaled by a factor of 0.4.
