Solving equation s(r(x)) for x= -3, you find as result s(r(-3))=-64
<h3>
Solving Equations</h3>
The equations can be solved when you replace the variable x for a given value or find the zero of functions.
The question gives:
r(x)=2x-2
s(x)=-x²
First, you will find r(-3). For this, in the equation r(x)=2x-2, you should replace x for -3. Then,
r(x)=2*(-3)-2
r(x)=-6-2= -8
Like r(-3)= -8, you should replace x, in s(x), for -8.
s(x)=-(-8)²
s(x)=-64
Hence, s(r(-3)=-64.
Read more about functions here:
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Answer:
Your answer is D
Step-by-step explanation:
Evaporation happens when a liquid substance becomes a gas. When water is heated, it evaporates. The molecules move and vibrate so quickly that they escape into the atmosphere as molecules of water vapor.
Hope this helps :)
Answer:
P(2.50 < Xbar < 2.66) = 0.046
Step-by-step explanation:
We are given that Population Mean, 
= 2.58 and Standard deviation, 
= 0.75
Also, a random sample (n) of 110 households is taken.
Let Xbar = sample mean household size
The z score probability distribution for sample mean is give by;
Z = 
~ N(0,1)
So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)
P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar 
2.50)
P(Xbar < 2.66) = P( < 
) = P(Z < -1.68) = 1 - P(Z 1.68)
= 1 - 0.95352 = 0.04648
P(Xbar 2.50) = P( 
) = P(Z -3.92) = 1 - P(Z < 3.92)
= 1 - 0.99996 = 0.00004
Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046
Circumference = pi * diameter
Diameter = 15
Assume pi = 3.14
15 * 3.14 = 47.1 in.
The answer is A
-24a²- 6a +9 = - 3(8a² +6a - 9)
8a² +6a - 9 =0
x=(-b +/-√(b² - 4ac))/2a
x = (-6 +/-√(36+4*8*9) /(2*8) = (-6 +/-√(324) /16 = (-6 +/-18)/16
x1 = (-6 +18)/16 = 0.75
x2 = (-6 -18)/16 = - 1.5
-24a²- 6a +9 = - 3(8a² +6a - 9) = -3(a - 0.75)(a + 1.5)
