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Black_prince [1.1K]
3 years ago
11

What’s the inverse of f(x)=-3(x+4)? Show your work Someone please explain this-

Mathematics
1 answer:
ziro4ka [17]3 years ago
6 0
Put the x where the y is and the y where the x is
X=-3(y+4)
Solve for y
X=-3y-12
Add 12 to both sides
X+12=-3y
Divide both sides by -3
X/-3+ 12=y
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Which is the value is a solution of the inequality 9>1/2r
Leno4ka [110]

Step-by-step explanation:

<u>Step 1:  Multiply both sides by 2</u>

9 > \frac{1}{2}r

9 * 2 > \frac{1}{2}r * 2

18 > r

<u>Step 2:  Determine what numbers would be a valid solution</u>

Any number that is greater than 18, not including 18 would pose a valid solution to the expression that was provided.

4 0
2 years ago
A line passes through the point (-4,3) and has a slope of -5/2
Jlenok [28]

Answer:

y=(-5/2) x -7

Step-by-step explanation:

y=mx+b

m=(-5/2)

To find b:

3=(-5/2)times"x" + b

3=(-5/2)times(-4) + b

3=  10 +b; b=-7

y=(-5/2) x -7

7 0
3 years ago
Suppose that 1% of all computers of a certain type experience CPU failure during the warranty period. If a simple random sample
Zigmanuir [339]

Answer:

A)

μ = 5

σ = 2.2

B)

P(0) = 0.0066

C)

P(x ≥ 4) = 0.74

Step-by-step explanation:

A) The expected value is going to be the same as the mean μ.

We can use the binomial probability distribution because there are a fixed number of trials (500), each trial is independent and there are only two possible outcomes (CPU failure or not) and the probability of failure has the fixed value 0.01.

For binomial distributions:

μ = np, where p is the probability (in this case of CPU failure) and n is the number of trials (500)

μ = (500)(0.01) = 5

σ = \sqrt{npq}, where q = 1 - p

σ = \sqrt{(500)(0.01)(0.99)} = 2.2

B) We can use the binomial probability formula

P(x)=(\frac{n!}{(n-x)!x!}) × pˣ × qⁿ⁻ˣ

P(0)=(\frac{500!}{(500-0)!0!}) × 0.01⁰ × 0.99⁵⁰⁰

C) In this case wee need to use a binomial distribution calculator. Setting n as 500, π = 0.01 and finding the probability above 3.

6 0
3 years ago
What is the product?
Anit [1.1K]

The final answer will be a 3x3 matrix. So you'll have 3 rows and 3 columns.

Along row one, the values are:     10,   15,    20

Along row two, the values are:      45,  -5,   -35

Along row three, the values are:   55,  25,   -15

all of which make up the final answer. Each value in bold is the result of multiplying the outer 5 by each value inside the original matrix given. In a sense, it's like using the distributive property, though we wont be adding any of the values (everything stays separated).

7 0
4 years ago
Factor the following trinomial 3x^2+10x+8
denis-greek [22]

tep-by-step explanation:


3 0
3 years ago
Read 2 more answers
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