Answer:
Step-by-step explanation:
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Description Equation
Derivative of a Constant Derivative of a Constant
Derivative of a Variable to the First Power Derivative of a Variable to the First Power
Derivative of a Variable to the nth Power Derivative of a Variable to the nth Power
Derivative of an Exponential Derivative of an Exponential
Derivative of an Arbitrary Base Exponential Derivative of an Arbitrary Base Exponential
Derivative of a Natural Logarithm Derivative of a Natural Logarithm
Derivative of Sine Derivative of Sine
Derivative of Cosine Derivative of Cosine
Derivative of Tangent Derivative of Tangent
Derivative of Cotangent Derivative of Cotangent
Step 1; multiple equation 2 by -2: 14x+8y=-18
step2: subtract this new equation from equation 1 to eliminate x:
2y-8y=18-(-18)
-6y=36
y=-6
step 3: substitute y=6 in equation 2: -7x-4*(-6)=9, -7x=-15, x=15/7
Answer:
Step-by-step explanation:
The probability of u choosing two orange socks from the sock drawer WITHOUT REPLACEMENT:
= P(the first one is Orange) * P(the second one is Orange)
= 10/40 * 9/39 = 3/52.
Answer: f(x) = (x + 3)(x – 7)
Step-by-step explanation: Use "standard form" of the function and insert values given: vertex (2,-25) intercept point (7,0)
f(x) = a(x-h)² + k from vertex, h is 2 y is -25 from intercept, x is 7 f(x) is 0
to find a, 0 = a(7-2)² +(-25) 0 = a(7-2)² -25 add 25 to both sides
25 = a(5)² 25 = 25a 25/25 = a 1=a (seems useless but verifies implied "a"coefficient is 1)
f(x) = a(x-h)² + k solve to get the quadratic form
f(x) = (x-2)² -25 (x - 2)² is x² -4x +4
f(x) = x² -4x +4 -25 simplify
f(x) = x² -4x - 21 then factor
f(x) = (x + 3)(x - 7)
Answer: 0
Step-by-step explanation:
Given: The temperature was 75 ( units) at noon the temperature increased by 7 by evening to decreased by 7.
I.e. Change in temperature = Increase in temperature - decrease in temperature
=7-7 = 0
Hence, the net temperature change is 0. (Original temperature of 75 (units) remains at the end )
