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Fudgin [204]
3 years ago
7

Write the expression (4x-2)•(2x+7) in the standard form of a quadratic expression, ax squared +bx+c. What are the values of the

coefficients of each term and the constant term
Mathematics
1 answer:
andrew-mc [135]3 years ago
3 0

Answer:

8x^2 + 24x - 14

Coefficients:- a =  8, b = 24 and c = -14.

Step-by-step explanation:

(4x - 2)(2x + 7)

= 4x(2x + 7) - 2(2x + 7)

= 8x^2 + 28x - 4x - 14

= 8x^2 + 24x - 14

Coefficient a =  8, b = 24 and c = -14.

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What is the equivalent expression for 2x-3
OLEGan [10]

Answer: 2x-3

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A carnival game gives players a 25% chance of winning every time it has played a player plays the game four times let XP the num
allsm [11]

Answer:

0.6836 = 68.36% probability that the player will win at least once.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the player wins, or the player loses. The probability of winning a game is independent of any other game, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

25% chance of winning

This means that p = 0.25

Plays the game four times

This means that n = 4

What is the probability that the player will win at least once?

This is:

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{4,0}.(0.25)^{0}.(0.75)^{4} = 0.3164

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3164 = 0.6836

0.6836 = 68.36% probability that the player will win at least once.

8 0
3 years ago
I need some help to tell whether a table is a linear or non linear function
Doss [256]

A linear equation has the form:

y=mx+b

Let's find a linear equation using the table, and let's check if it satisfy all the points:

\begin{gathered} x=0,y=-1 \\ -1=b \\ ------ \\ x=1,y=1 \\ 1=m+b \\ 1=m-1 \\ m=2 \end{gathered}

so:

y=2x-1

Let's check the other points:

\begin{gathered} x=-3 \\ y=2(-3)-1=-6-1=-7_{\text{ }}True \\ ------ \\ x=-2 \\ y=2(-2)-1=-4-1=-5_{\text{ }}True \\ ------ \\ x=-1 \\ y=2(-1)-1=-2-1=-3_{\text{ }}True \end{gathered}

Therefore, we can conclude it is a linear function.

6 0
11 months ago
I need help ASAP <br> Please someone help
hodyreva [135]

Answer:

Step-by-step explanation:

Please Upload clear image

6 0
2 years ago
James measured a piece of construction paper to be 6 3/4 inches wide and 9 2/3 inches long. What is the area of the piece of con
ivolga24 [154]

Answer:

The area of the piece of construction paper is \frac{261}{4} inches^2

Step-by-step explanation:

Length of construction paper =6 \frac{3}{4} inches

                                                 =\frac{27}{4} inches

Width of construction paper = 9 \frac{2}{3} inches

                                              = \frac{29}{3} inches

Area of construction paper =Length \times Width

Area of construction paper = \frac{27}{4}  \times \frac{29}{3}

                                             = \frac{261}{4} inches^2

Hence the area of the piece of construction paper is \frac{261}{4} inches^2

7 0
3 years ago
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