Charlie had a -$38.00 balance in his checking account. He deposited $126.00 into the account. What is his new balance?
1 answer:
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The statements about the function that are true are
- The vertex of the function is at (–3,–16).
- The graph is increasing on the interval x > –3.
- The graph is positive only on the intervals where x < –7 and where x > 1.
The equation of the graph is given as
f(x) = (x - 1)(x + 7)
The graph of the function is added as an attachment
On the graph, we have
Vertex = (-3, -16)
This is so because the graph has a minimum point of (-3, -16)
Also, the graph crosses the x-axis at x = 1 and x = -7
This means that the graph is positive at x >1 and x >-7
Because the vertex is a minimum, the graph is increasing at the left of its symmetry i.e. x > -3
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Answer:
The height of the flag pole will be = 18.96 ft.
Step-by-step explanation:
See the attached diagram.
AB is the flag pole and the length of the shadow is AC.
Now, Δ ABC is a right triangle and has AB = 3x ft., BC = 20 ft. and AC = x ft.
So, applying Pythagoras theorem ,
AB² + AC² = BC²
⇒ (3x)² + x² = 20²
⇒ 10x² = 400
⇒ x² = 40
⇒ x = 6.32 ft. (Approx.)
So, the height of the flag pole will be = 3x = 3 × 6.32 = 18.96 ft. (Answer)
