Answer:
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Step-by-step explanation:
Answer:
X = -20
Step-by-step explanation:
X = -2(6+4)
^ add 6 and 4 together first because they are in parentheses
-2(10)
^ this parenthesis means you want to multiply -2 and 10
because 2 x 10 = 20
that must mean -2 x 10 = -20
therefore, the value of X is -20
X= -20
Answer:
x = -1
Step-by-step explanation:
7(4x+1)−3x=5x−13
Distribute
28x +7 -3x = 5x -13
Combine like terms
25x+7 = 5x-13
Subtract 5x from each side
25x-5x +7 = -13
20x +7 = -13
Subtract 7 from each side
20x+7-7 = -13-7
20x = -20
Divide by 20
20x/20 = -20/20
x = -1
H(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t
h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
h(3) = -16(3²) + 60(3) + 95 = -16(9) + 180 + 95 = -144 + 275 = 131
h(4) = -16(4²) + 60(4) + 95 = -16(16) + 240 + 95 = -256 + 335 = 79
g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
g(3) = 20 + 38.7(3) = 20 + 116.1 = 136.1
g(4) = 20 + 38.7(4) = 20 + 154.8 = 174.8
Between 2 and 3 seconds.
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1
h(t) = g(t) ⇒ 131 = 131
It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up.
