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Which expression is equivalent to the given expression? 2x - 11x-6 A. 2(x – 3) (x + 1) B. (2x + 3)(x- 2) C. (2x+ 1)(x- 6) D. 2(x + 3)(x- 2)

Answers

Answer 1

Answer:

Option C. (2x + 1)(x - 6)

Step-by-step explanation:

To know which option is equivalent to 2x² - 11x - 6, we shall simplify the expression as follow:

2x² - 11x - 6

Multiply the 1st term (i.e 2x²) and last term (i.e - 6) together. This is illustrated below:

2x² × - 6 = - 12x²

Next, find two factors of - 12x² such that when we add them together, it will result to the 2nd term (i.e - 11x) in the expression above.

The factors are x and - 12x

Next, replace - 11x with x and - 12x in the expression 2x² - 11x - 6 as shown below:

2x² - 11x - 6

2x² + x - 12x - 6

Next, we shall factorise the expression 2x² + x - 12x - 6 as follow:

2x² + x - 12x - 6

x(2x + 1) - 6(2x + 1)

(2x + 1)(x - 6)

Thus,

2x² - 11x - 6 is equivalent to (2x + 1)(x - 6)

Answer 2

Answer:

Final answer:

The simplified form of the given expression is -9x - 6. Unfortunately, none of the provided options A, B, C or D is equivalent to this expression when simplified.

Explanation:

This question is centered around the idea of finding an expression that is equivalent to the given. First step is to simplify the given expression, which is 2x - 11x - 6. To simplify, combine like terms that leads to -9x - 6.

Next, we look at each of the provided options to find which one would simplify to the same expression:

A. 2 (x - 3) (x + 1) simplifies to 2x^2 -4x - 6 which isn't equal to -9x - 6

B. (2x + 3) (x - 2) simplifies to 2x^2-4x -6, which again doesn't match our given expression.

C. (2x + 1) (x - 6) simplifies to 2x^2 - 12x - 1, which doesn't match as well.

D. 2 (x + 3) (x - 2) simplifies to 2x^2 -2x -12, yet another mismatch.

With all options examined, none of the provided expressions are equivalent to the original expression of -9x - 6.

Learn more about Expression:

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Peter baked 64 loaves of bread in three days. How many loaves did he bake each day, if he baked 3 more loaves on the second day than on the first day, and 4 more loaves on the third day than on the first day?

Answers

Answer:

Step-by-step explanation:

1st day: x

2nd day: x+3

3rd day: x+4

Equation: x+(x+3)+(x+4)=64

3x+7=64

3x=57

x=19

I hope you found this answer helpful!!!!!!(sorry if instructions aren't clear)

4X,
f(x) = (2x -6,
{
x < 2
x > 2
8. f(-2) =
9. f(3) =
10. f(5) =

Answers

Answer:

Step-by-step explanation:

Hope it helps

I need help please! I WILL MARK AS BRAINLIST

Answers

Answer:

Step-by-step explanation:

eq. of circle with (x1,y1 ) and (x2,y2) as extremities of diameter is

(x-x1)(x-x2)+(y-y1)(y-y2)=0

(x+3)(x-1)+(y-5)(y-9)=0

x²+3x-x-3+y²-5y-9y+45=0

x²+2x-3+y²-14y+45=0

x²+2x+y²-14y+42=0

x²+2x+1+y²-14y+49=-42+1+49

(x+1)²+(y-7)²=8

(x-(-1))²+(y-7)²=8

Find the slope of the line passing through each of the following pairs of points. (−3, 9), (−3, −5

Answers

The formula of a slope:

$m=(y_2-y_1)/(x_2-x_1)$

We have the points (-3, 9) and (-3, -5). Substitute:

$m=(-5-9)/(-3-(-3))=(-14)/(-3+3)=(-14)/(0)\qquad\large{!!!!}\n\n\large\boxed{\text{Division by 0}}!!!$

Conclusion: The slope is not exist.

Given line is a horizontal line. Horizontal line has not a slope.

Answer:

Undefined Slope

Step-by-step explanation:

Well, we can first do (-5-9)÷[-3-(-3)].

We get -14/0.

We know anythingn divided by zero is impossible or undefined, so the answer to this is just undefined. If you can't enter it in your homework portal, then ask your teacher. Please don't report this, as I'm correct. Thank you!

discrete random variable X has the following probability distribution: x 13 18 20 24 27 P ( x ) 0.22 0.25 0.20 0.17 0.16 Compute each of the following quantities. P ( 18 ) . P(X > 18). P(X ≤ 18). The mean μ of X. The variance σ 2 of X. The standard deviation σ of X.

Answers

Answer:

(a) P(X = 18) = 0.25

(b) P(X > 18) = 0.53

(c) P(X ≤ 18) = 0.47

(d) Mean = 19.76

(e) Variance = 22.2824

(f) Standard deviation = 4.7204

Step-by-step explanation:

We are given that discrete random variable X has the following probability distribution:

X P (x) X * P(x) $X^(2)$ $X^(2)$ * P(x)

13 0.22 2.86 169 37.18

18 0.25 4.5 324 81

20 0.20 4 400 80

24 0.17 4.08 576 97.92

27 0.16 4.32 729 116.64

(a) P ( X = 18) = P(x) corresponding to X = 18 i.e. 0.25

Therefore, P(X = 18) = 0.25

(b) P(X > 18) = 1 - P(X = 18) - P(X = 13) = 1 - 0.25 - 0.22 = 0.53

(d) Mean of X, $\mu$ = ∑X * P(x) ÷ ∑P(x) = (2.86 + 4.5 + 4 + 4.08 + 4.32) ÷ 1

= 19.76

(e) Variance of X, $\sigma^(2)$ = ∑ $X^(2)$ * P(x) - $(\sum X * P(x))^(2)$

= 412.74 - $19.76^(2)$ = 22.2824

(f) Standard deviation of X, $\sigma$ = $√(variance)$ = $√(22.2824)$ = 4.7204 .

Final answer:

The probabilities for the given X values are calculated by summing the relevant given probabilities. The mean of X is computed as a weighted average, and the variance and standard deviation are calculated using formula involving the mean and the individual probabilities.

Explanation:

The probability P(18) is given as 0.25 according to the distribution. The probability P(X > 18) is the sum of the probabilities for all x > 18, so we add the probabilities for x=20, x=24, and x=27, giving us 0.20 + 0.17 + 0.16 = 0.53. The probability P(X ≤ 18) includes x=18 and any values less than 18. As 18 is the lowest value given, P(X ≤ 18) is just P(18), or 0.25.

The mean μ of X is the expected value of X, computed as Σ(xP(x)). That gives us (13*0.22) + (18*0.25) + (20*0.20) + (24*0.17) + (27*0.16) = 2.86 + 4.5 + 4 + 4.08 + 4.32 = 19.76.

The variance σ 2 of X is computed as Σ [ (x - μ)^2 * P(x) ]. That gives us [(13-19.76)^2 * 0.22] + [(18-19.76)^2 * 0.25] + [(20-19.76)^2 * 0.20] + [(24-19.76)^2 * 0.17] + [(27-19.76)^2 * 0.16] = 21.61. The standard deviation σ of X is the sqrt(σ^2) = sqrt(21.61) = 4.65.