W(2) = 2^2 + 2 = 4 + 2 = 6
u(w(2)) = -x -2 = -6 - 2 = -8
answer: u(w(2)) = -8
1. y=6
2. y=-12
Step-by-step explanation:
<u>1) If y varies inversely as x, and y=3 as x = -2, find y for the x value of -1.</u>
It is given that
y varies inversely as x
IT will be written as:
y∝1/x
Removing the proportionality symbol
y=k/x
Given
y=3 , x=-2
Putting the values
3=k/-2
k=3*-2 = -6
The equation will be:
y=-6/x
So,
When x=-1

<u>2) If y varies directly as x, and y=15 as x=-3, find y for the x value of 4</u>
y is directly proportional to x
y∝x
y=kx
Given
y=15, x=-3
Putting the values

Hence,
1. y=6
2. y=-12
Keywords: Proportion, Variation
Learn more about proportion at:
#LearnwithBrainly
K = Kate's age nowJ = Joey's age nowK+5 = Kate's age in 5 yearsJ+5 = Joey's age in 5 years From the first sentenceK+5 = 2(J+5) From the second sentenceK=J+11 So our system of equations isK+5 = 2(J+5)K=J+11 The first equation is equivalent toK+5 = 2J+10or by rearranging termsK-2J=5 The second equation is equivalent toK-J=11 This gives us K-2J=5K-J=11 Using the elimination method, we need to multiply one of the equations by a factor such that we can eliminate one of the variables. This means we want one of the variables to have coefficients which are the same magnitude but opposite signs. We can do this by multiplying the 1st equation by -1. This give us -K+2J=-5 K - J = 11 Now add these two equations together, term by term. This gives usJ=6 So Joey is 6 years old now.
The probability that the spinner will land on 5 or 7 if the spinner is spun once is 1/4
<h3>How to determine the probability that the spinner will land on 5 or 7 if the spinner is spun once?</h3>
The sample space of the spinner is
S = {1, 2, 3, 4, 5, 6, 7, 8}
So, the sample size is
Size = 8
On the spinner, we have
n(5) = 1
n(7) = 1
The probability that the spinner will land on 5 or 7 if the spinner is spun once is calculated as:
P = P(5) + P(6)
This gives
P = 1/8 + 1/8
Evaluate
P =2/8
Simplify
P = 1/4
Hence, the probability that the spinner will land on 5 or 7 if the spinner is spun once is 1/4
Read more about probability at:
brainly.com/question/24756209
#SPJ1
Answer:
60x
Step-by-step explanation: