Answer:
3/5 or 0.6 in decimal form
Step-by-step explanation:
All you have to do is multiply 1/5 x 3 for the three days Monday, Tuesday and Wednesday and that gets you 3/5 or as 1/5 of a km is 0.2 you have to multiply 0.2 x 3 and you get 0.6 which is equivalent to 3/5
The function is increasing on the intervals
x ∈ (-∞, -1) ∪ (1, ∞)
Write the left side of the given expression as N/D, where
N = sinA - sin3A + sin5A - sin7A
D = cosA - cos3A - cos5A + cos7A
Therefore we want to show that N/D = cot2A.
We shall use these identities:
sin x - sin y = 2cos((x+y)/2)*sin((x-y)/2)
cos x - cos y = -2sin((x+y)/2)*sin((x-y)2)
N = -(sin7A - sinA) + sin5A - sin3A
= -2cos4A*sin3A + 2cos4A*sinA
= 2cos4A(sinA - sin3A)
= 2cos4A*2cos(2A)sin(-A)
= -4cos4A*cos2A*sinA
D = cos7A + cosA - (cos5A + cos3A)
= 2cos4A*cos3A - 2cos4A*cosA
= 2cos4A(cos3A - cosA)
= 2cos4A*(-2)sin2A*sinA
= -4cos4A*sin2A*sinA
Therefore
N/D = [-4cos4A*cos2A*sinA]/[-4cos4A*sin2A*sinA]
= cos2A/sin2A
= cot2A
This verifies the identity.
Answer: -80 and -3
Step-by-step explanation: By signed number, do you mean a negative or positive number? If so that means that number one is -80 because she lost 80 dollars which mean that she LOST the money. And the second number is -3 because the number DECREASED
4 gallons × y dollars/gallon=$6.76
4y=6.76
Divide both sides by 4
Y=$1.69
