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3 years ago

9|4/3x-2| + 7 = 7 Please help!

Mathematics

1 answer:

Aleksandr [31]3 years ago

3 0

Answer:

Step-by-step explanation:

Given the expression

9|4/3x-2| + 7 = 7

First note that the value in parenthesis can both be negative and positive;

For the positive value, we have;

9(4/3x-2) + 7 = 7

9(4/3x-2) + 7 - 7 = 7 - 7

9(4/3x-2) = 0

Open the bracket

9(4/3x) - 9(2) = 0

36/3 x - 18 = 0

12x = 18

x = 18/12

x = 3/2

For the negative value;

9(-(4/3x-2)) + 7 = 7

9(-4/3x+2) + 7 - 7 = 7 - 7

9(-4/3x+2) = 0

Open the bracket

9(-4/3x) + 9(2) = 0

-36/3 x + 18 = 0

-12x = -18

x = 18/12

x = 3/2

Hence the value of x is 3/2

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Probability.

swat32

Answer: 0.0386

Step-by-step explanation:

Given: The probability hat the frozen chickens contain enough salmonella bacteria to cause illness if improperly cooked : p= 0.30

Sample size : n = 12

Let x = Number of contaminated chickens

Here , two outcomes for any chicken (either contaminated or not) , so it follows binomial distribution.

Binomial probability formula:

$P(X=x) = \ ^nC_x p^x(1-p)^{n-x}$

The probability that the consumer will have more than 6 contaminated chickens :-

$P(X>6)=P(X=7)+P(X=8)+P(X=9)+P(X=10)+P(X=11)+P(X=12)\\\\=^{12}C_6(0.3)^6(0.7)^6+^{12}C_7(0.3)^7(0.7)^5+^{12}C_8(0.3)^8(0.7)^4+^{12}C_9(0.3)^9(0.7)^3+^{12}C_{10}(0.3)^{10}(0.7)^2+^{12}C_{11}(0.3)^{11}(0.7)^1+^{12}C_0(0.3)^{12}(0.7)^0$

$=0.03860084306\approx0.0386$ <em> (simplified)</em>

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Hence, the required probability = 0.0386

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3 years ago

Joy and Peter were each walking along a straight road. joy walked 1800 meters in 1/3 hour. Peter walked 1/2 of joys distance in

Citrus2011 [14]

Answer:

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Step-by-step explanation:

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3 years ago

The table shows the height of a plant as it grows. Which equation in point slope form gives the plant’s height at any time

vodka [1.7K]

Answer:

Option A is correct.

$y-16=8(x-2)$ is the equation represent the point slope form gives the plant's height at any time.

Step-by-step explanation:

Point slope intercept form: For any two points $(x_1, y_1)$ and $(x_2, y_2)$ then,

the general form

$y-y_1=m(x-x_1)$ for linear equations; where m is the slope given by:

$m =\frac{y_2-y_1}{x_2-x_1}$

Consider any two points from the table;

let A= (2 , 16) and B =(4, 32)

First calculate the slope of the line AB:

$m =\frac{y_2-y_1}{x_2-x_1}=\frac{32-16}{4-2}=\frac{16}{2}$ = 8

Therefore, slope of the line m = 8

Then,

the equation of line is:

$y-y_1=m(x-x_1)$

Substitute the value of m=8 and (2, 16) above we get;

$y-16=8(x-2)$

Therefore, the equation in point slope form which gives the plant's height at any time is; $y-16=8(x-2)$ , where x is the time(months) and y is the plant height (cm)

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