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2 years ago

20 POINTS!!!!

Mathematics

2 answers:

Taya2010 [7]2 years ago

8 0

Answer:

9(4 + x)

Step-by-step explanation:

the product of 9

9 *

the sum of a number (x) and four

x + 4

the product of 9 and the sum of a number and four

9 * (x + 4)

nevsk [136]2 years ago

3 0

Answer:

Step 1: Remove parentheses by multiplying factors.

= (x * x) + (1 * x) + (2 * x) + (2 * 1)

Step 2: Combine like terms by adding coefficients.

(x * x) = x2

(1 * x) = 1x

(2* x) = 2x

Step 3: Combine the constants.

(2 * 1) = 2

Step 4: Therefore, Simplifying Algebraic Expression is solved as

= x2 + 3x + 2.

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Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:y >

pantera1 [17]

Answer:

Part A: The graph of given inequality is shown below.

Part B: The point (4,6) is not a solution of given system of inequalities.

Step-by-step explanation:

Part A:

The given inequalities are

$y>2x+3$

$y$

The related equation of given inequalities are

$y=2x+3$

$y=-\frac{3}{2}x-4$

Put x=0, to find the y-intercepts.

$y=2(0)+3=3$

$y=-\frac{3}{2}(0)-4=-4$

Put y=0, to find the x-intercepts.

$0=2x+3\Rightarrow x=-\frac{3}{2}$

$0=-\frac{3}{2}x-4\Rightarrow x=-\frac{8}{3}$

The x and y-intercepts of first line are (0,3) and (-1.5,0) respectively. The x and y-intercepts of second line are (0,-4) and (-2.667,0) respectively.

Check the given inequality by (0,0).

$0>2(0)+3$

$0>3$

This statement is false. It means (0,0) is not the solution of this inequality and the shaded region is opposite side of the origin.

$0$

This statement is false. It means (0,0) is not the solution of this inequality and the shaded region is opposite side of the origin.

The graph of given inequalities is shown below.

Part B:

We have to check whether (4,6) is a solution of the system of inequality or not.

Check the given inequality for the point (4,6).

$(6)>2(4)+3$

$6>11$

This statement is false. It means (4,6) is not the solution of given system of inequalities.

3 0

3 years ago

Read 2 more answers

A circle has a radius of 26.85 inches.

Vsevolod [243]

Answer:

168.61

Step-by-step explanation:

C=2*Pi*R

C=2*3.14*26.85

C=6.28*26.85

C=168.61

5 0

3 years ago

Under average driving conditions, the life lengths of automobile tires of a certain brand are found to follow an exponential dis

wariber [46]

Answer:

a) $P(X>30000)=1-( 1- e^{-\frac{30000}{30000}})=e^{-1}=0.368$

b) $P(X>30000|X>15000)=P(X>15000)=1-( 1- e^{-\frac{15000}{30000}})=e^{-0.5}=0.607$

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

$P(X=x)=\lambda e^{-\lambda x}, x>0$

And 0 for other case. Let X the random variable that represent "life lengths of automobile tires of a certain brand" and we know that the distribution is given by:

$X \sim Exp(\lambda=\frac{1}{30000})$