Answer:
t = [0.493,4.2]
Step-by-step explanation:
The height of the rocket straight up into the air is given by :
We need to find the interval the rocket be at least 43 feet above the ground.
So, the required interval during which the rocket is at least 43 feet above the ground is [0.493,4.2].
Answer:
C. g(x) = 3·2^x +2
Step-by-step explanation:
The graph of g(x) appears to be a translation upward of the graph of f(x).
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To find the equation of g(x), we can add 5 to f(x), since the translation appears to be 5 units. (The y-intercept of f(x) is 0; the y-intercept of g(x) is 5.)
g(x) = f(x) +5
g(x) = (3·2^x -3) +5
g(x) = 3·2^x +2
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You can also determine the correct choice by looking at the value at x=0:
A. g(0) = 3 +6 = 9
B. g(0) = 1 +3 = 4
C. g(0) = 3 +2 = 5 . . . . matches g(0) on the given graph
D. g(0) = 3
Answer:
$80 was on the gift card to begin with
Step-by-step explanation:
Let the initial money be x
Peter spent (1/2)*x
Peter added 10
<em>Before adding more money on the gift card Peter had x -(1/2)x left on the gift card which is (1/2)x</em>
<em>After loading more money Peter had (1/2)x + 10</em>
(1/2)x = 40 <em>(money spent by Peter)</em>
x/2 = 40
x = 80
Answer:
A. false
B. true
C. true
D. false
step-by-step:
A: probability of spinning a 4 on spinner A is 1/4 and probability of spinning a 4 on spinner B is 1/3.
B: there are 2 fours out of 6 possible options so that makes it 2/6, simplify that, it becomes 1/3.
C: 2 and 4 are even numbers so that makes 2/4 possible on spinner A. simplify 2/4 and that becomes 1/2.
D. spinning a 3 on spinner A would make it 1/4 (already simplified). spinning a 3 on spinner B would make it 1/6 (already simplified) therefore spinner A is greater.
