MATHEMATICS COLLEGE

(2x+3)(x+1) simplified

Would love the solution worked out also thank you

Answers

Answer 1

Answer:

(2x + 3) (x + 1)

2x² + 3x + 2x + 3

2x² + 5x + 3

Answer 2

Answer:

Answer: $2x^2+5x+3$

Step 1

$(2x)(x)+(2x)(1)+(3)(x)+(3)(1)$

Step 2

$2x^2+2x+3x+3$

Final Answer

$2x^2+5x+3$

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Explain how to identify if the graph of a relation is a function or not

Answers

Answer:

[see below]

Step-by-step explanation:

A function is a relation where one domain value is assigned to exactly one range.

An x-value in a function must not repeat.

One way to see if a graph is a function is to use a vertical line test. If the line passes trough the line twice, then it is not a function.
On a table, check the x-value column or row. If any of the numbers repeat, then it is not a function.
On a mathematical map, check to see if the arrows from a domain number points to one range value on the other side. If it points to two range numbers, then it is not a function.

Hope this helps.

If x-13 = k and k = 3, what is the value of x?

Answers

Answer:

x = 16

16 - 13 = 3

***brainliest please

Step-by-step explanation:

Before a computer is assembled, its motherboard goes through a special inspection. Assume only 85% of motherboards pass this inspection.(a) What is the probability that at least 13 of the next 15 motherboards pass inspection?
(b) On the average, how many motherboards should be inspected until a motherboard that passes inspection is found?

Answers

a. The probability that at least 13 of the next 15 motherboards pass inspection is 0.604.

b. On average, 1.1765 motherboards should be inspected until a motherboard that passes inspection is found.

The formula for the probability of getting exactly k successes in n trials with a success probability of p is:

$P(X = k) = (^nC_k) * p^k * (1 - p)^((n - k))$

Where "n choose k" represents the binomial coefficient, which is calculated as n! / (k! * (n - k)!), where "!" denotes factorial.

In this case:

n = 15 (number of trials)

k = 13, 14, 15 (number of successes)

p = 0.85 (probability of success)

First, let's calculate the probability that exactly 13, 14, and 15 motherboards pass inspection.

For k = 13:

$P(X = 13) = (^(15) C_ {13}) * 0.85^(13) * (1 - 0.85)^((15 - 13))$

= 0.28564

For k = 14:

$P(X = 14) = (^(15) C_(14)) * 0.85^(14) * (1 - 0.85)^((15 - 14))$

= 0.23123

For k = 15:

$P(X = 15) = (^(15) C_(15)) * 0.85^(15) * (1 - 0.85)^((15 - 15))$

= 0.08735

Now, sum these probabilities to get the final answer:

P(at least 13) = P(X = 13) + P(X = 14) + P(X = 15)

= 0.28564 + 0.23123 + 0.08735

= 0.60422

= 0.604

(b)

The average number of trials needed until a motherboard that passes inspection is found can be calculated using the concept of the expected value of a geometric distribution:

Expected value (E) = 1 / p

Where p is the probability of success.

In this case, p = 0.85.

E = 1 / 0.85

= 1.1765

Thus, on average, 1.1765 motherboards should be inspected until a motherboard that passes inspection is found.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ12

Final answer:

To find the probability that at least 13 of the next 15 motherboards pass the inspection, use the binomial formula for each scenario (13, 14, and 15 passing) and sum the results. To find on average how many motherboards need to be inspected for one to pass inspection, just take the reciprocal of the probability of success (1/0.85).

Explanation:

This question falls under the domain of probability and statistics. Let's tackle each part separately:

(a) When we talk about at least 13 out of 15 motherboards passing, we have to consider the situations where exactly 13, 14, or all 15 pass. For each case, you would use the binomial formula P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k)). In this formula, n is the number of trials (which is 15), k is the number of successes we are interested in, p is the probability of a success (which is 0.85), C(n, k) is a combination that represents the different ways k successes can happen in n trials. Calculate this for k = 13, 14, and 15 and sum the results to get the probability for at least 13 to pass.

(b) To find on average how many motherboards should be inspected until one passes is straightforward - it is simply the reciprocal of the probability of success which is 1/0.85.

Learn more about Probability here:

brainly.com/question/22962752

#SPJ3

Solve this equation using the inverse operation: x + 8 = -5

Answers

Hey there!

x + 8 = -5

SUBTRACT 8 to BOTH SIDES

x + 8 - 8 = -5 - 8

CANCEL out: 8 - 8 because it give you 0

KEEP: -5 - 8 because it help solve for the x-value

NEW EQUATION: x = -5 - 8

SIMPLIFY IT!

x = -13

Therefore, your answer is: x =-13

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

$x=-13$

Step-by-step explanation:

We can subtract 8 from both sides.

$x+8=-5\n(x+8)-8=(-5)-8\nx=-13$

Multiply the conjugates.(x + 2y)(x - 2y)

First to give correct answer gets the brainliest, and hurry please this is timed

Answers

Answer;

equal; $x^(2) - 4y^(2)$

Given the age in years, t, of a water-transport pipe, the formula R = 17 + 4 t can be used to predict the rate of water leakage (in gallons per minute) from the pipe as it carries water from the headquarters of a farming cooperative to farmland a mile away. What is the meaning of the constant 17 in the function R ?A. Initially the pipe leaks at 4 gallons per year.
B. Initially the pipe leaks at 17 gallons per year.
C. Initially the pipe leaks 17 gallons.
D. Initially the pipe leaks at 4 gallons per minute.
E. Initially the pipe leaks 4 gallons.
F. Initially the pipe leaks at 17 gallons per minute.

Answers

Answer: F. Initially the pipe leaks at 17 gallons per minute.

Step-by-step explanation:

Given the equation below:

R = 17 + 4t

Where R is the rate of leakage in gallons per minute,

And t is the age of pipe in years.

The rate of leakage at time t = 0 ( initial rate of leakage )

R(0)= 17 + 4(0)

R(0)= 17 gallons per minute.

Therefore the initial rate of leakage is 17gallons per minute

Final answer:

The constant 17 in the function R = 17 + 4t represents the initial rate of water leakage from the pipe when it is brand new. The correct answer is option C. Initially the pipe leaks 17 gallons.

Explanation:

The constant 17 in the function R = 17 + 4t represents the initial rate of water leakage from the pipe when it is brand new. This means that option C. Initially the pipe leaks 17 gallons is the correct answer.