X^2+9x+14=0 solve by factoring

Answer:

A the system has no solution

Step-by-step explanation:

Answer:

A - because lines are parallel

Step-by-step explanation:

\(f(x)=-3x\)

Substitute x = 5 in the equation.

\(f(5)=-3(5)\\f(5)=-15\)

Therefore, the answer is -15 or last choice when x = 5.

Using the Poisson distribution, it is found that:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

In this problem, the mean is of \(\mu = 16\), hence the probability of 15 patients in a day is given by:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

\(P(X = 15) = \frac{e^{-16}16^{15}}{(15)!} = 0.0992\)

Hence the mean number of days in a month (30 days) with 15 patients visiting is given by:

M = 30 x 0.0992 = 2.976.

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Answer:

did understand it im confused

Therefore, the direction of the vector b is 1.29 radians (or about 74.05 degrees) above the positive x-axis.

To find the direction of the vector, we need to find the angle it makes with the positive x-axis.

First, we can find the magnitude of the vector b:

|b| = √(1.3^2 + 5.2^2) = √(1.69 + 27.04) = √28.73 ≈ 5.36 m

Then, we can use the formula for the angle between a vector and the x-axis:

θ = tan^-1 (b_y/b_x)

where b_x and b_y are the x and y components of the vector.

b_x = 1.3 m, b_y = 5.2 m

θ = tan^-1 (5.2/1.3) ≈ 1.29 rad

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Answer:

21, 15

Step-by-step explanation:

12+9=21

the third side of a triangle must be equal to the two other sides added up to make it possible

also 15 if you're trying to make a possible right triangle

9514 1404 393

Answer:

  Jermaine and Sadie have similar triangles. Aisha's is not similar.

Step-by-step explanation:

The side lengths can be arranged smallest-to-largest and reduced to mutually-prime integers. If the triangles are similar, their side ratios will be the same.

  Jermaine's triangle has side ratios ...

     8 : 14 : 20 = 4 : 7 : 10

  Sadie's triangle has side ratios ...

     2 : 3.5 : 5 = 4 : 7 : 10 . . . . (same as Jermaine's)

  Aisha's triangle has side ratios ...

     4 : 10 : 16 = 2 : 5 : 8 . . . . . (different from Jermaine's)

Sadie and Jermaine have similar triangles.

The object with the features described is (a) Object A

from the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

We examing the options

So, we have

Object (a)

Hence, the object is object (a)

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Answer: 0.10175

Step-by-step explanation:

First, bring the decimal points to the right for both numbers, to be a total of 5 decimal points to the right. Then, with the numbers 25 and 407, multiply them, and we get 10175. Then, we must bring the 5 decimal points back, and we end up with 0.10175.

Answer: 0.10

Step-by-step explanation:

on time4llearning

The range of the exponential function that describes the growth of Jamaica's population when it is expected to grow exponentially by 1.1% each year and its population in 1990 is 2,466,000 is greater than 2,466,000.

The answer is y ≥ 2,466,000.

The range of a function is a set of all the possible outcomes of a function.  

The population is expected to have exponential growth, it can be expressed as population = 2466000( 1 + 0.011)ⁿ, where n represents the number of years that have passed from year 1990.

The value of n lies from 0 to ∞ as year can range from 1990. So minimum value of population can be obtained by substituting n = 0.

2466000(1.011)⁰ = 2466000

The maximum value can be obtained by substituting n = ∞, which is ∞. Therefore population range from 2,466,000 to infinity.

-- The question is incomplete, the complete question is as follows--

"In 1990, Jamaica's population of 2,466,000 was expected to grow exponentially by 1. 1% each year. What is the range of the exponential function that describes this growth? a) y ≥ 2,466,000 b) all real numbers c) y ≥ 0 d) z ≥ 0 "

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Answer:

\(a_{n}\) = 6n + 1

Step-by-step explanation:

This is an arithmetic sequence with nth term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 13 - 6 = 7 and d = 6 , then

\(a_{n}\) = 7 + 6(n - 1) = 7 + 6n - 6 = 6n + 1

Answer:

the first few terms would be

7, 13, 19, 25, 31

nth term = 7 + 6(n+1)

nth term = 7+ 6n + 6

nth term = 6n + 13

Answer:

7/16

9/16

Step-by-step explanation:

boys =7+9 total ratio =16

ratio of boys=7/16

ratio of girls=9/16

SOLUTION

The formula for area of Parallelogram is given as:

A= Base x Height

The formula for area of a trapezoid is given as:

Notice that the area of of the trapezoid can be defined as

A=Average of Base x height.

This implies that the both figures have the formula as a product of base and height.

The inequality that is represented by the given graph is; y ≤ (3/4)x - 2

From the given inequality graph, we see that;

Slope; m = 3/4

x-intercept = -2.5

y-intercept = -2

Now, the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Thus, our graph is ordinarily;

y = (3/4)x + (-2)

y =  (3/4)x - 2

However, it is an inequality that is shaded at the bottom with a thick line and so the inequality becomes;

y ≤ (3/4)x - 2

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Simplifying, \(x^2 = 3/2 * y.\) Using \(x = 3t^(1/2)\) and \(y = 6t\) we know that the rectangular equation that represents the given parametric equations is \(x^2 = 3/2 * y\).

To find the rectangular equation that represents the given parametric equations \(x = 3t^(1/2)\) and \(y = 6t\), we need to eliminate the parameter 't'.

First, let's solve the first equation,\(x = 3t^(1/2), for t.\)

Squaring both sides, we get \(x^2 = 9t.\)

Next, let's solve the second equation, \(y = 6t\), for t.

Dividing both sides by 6, we get \(t = y/6.\)

Now, substitute \(t = y/6\) into the equation \(x^2 = 9t.\)
Replacing t, we have \(x^2 = 9(y/6).\)
Simplifying, \(x^2 = 3/2 * y.\)

Therefore, the rectangular equation that represents the given parametric equations is \(x^2 = 3/2 * y.\)

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The rectangular equation representing the given parametric equations is y = 2x^2/3.

The parametric equations given are x = 3t^(1/2) and y = 6t. We need to find the rectangular equation that represents these parametric equations.

To eliminate the parameter t, we can solve for t in terms of x and substitute it into the second equation. From the first equation, we have x = 3t^(1/2). We can isolate t by squaring both sides, which gives us x^2 = 9t. Rearranging this equation, we get t = x^2/9.

Substituting this expression for t into the second equation, we have y = 6(x^2/9). Simplifying, we get y = 2x^2/3.

Therefore, the rectangular equation that represents the given parametric equations is y = 2x^2/3.

In this equation, x represents the independent variable, while y represents the dependent variable. As x varies, y will change accordingly, following a quadratic relationship.

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Answer:

60

Step-by-step explanation:

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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The Radical Form (√x)  ,the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

The equation √x - 2 + 4 = x for x, we can follow these steps:

1. Begin by isolating the radical term (√x) on one side of the equation. Move the constant term (-2) and the linear term (+4) to the other side of the equation:

  √x = x - 4 + 2

2. Simplify the expression on the right side of the equation:

  √x = x - 2

3. Square both sides of the equation to eliminate the square root:

  (√x)^2 = (x - 2)^2

4. Simplify the equation further:

  x = (x - 2)^2

5. Expand the right side of the equation using the square of a binomial:

  x = (x - 2)(x - 2)

  x = x^2 - 2x - 2x + 4

  x = x^2 - 4x + 4

6. Move all terms to one side of the equation to set it equal to zero:

  x^2 - 4x + 4 - x = 0

  x^2 - 5x + 4 = 0

7. Factor the quadratic equation:

  (x - 1)(x - 4) = 0

8. Apply the zero product property and set each factor equal to zero:

  x - 1 = 0   or   x - 4 = 0

9. Solve for x in each equation:

  x = 1   or   x = 4

Therefore, the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

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-21x + 6x (i'm pretty sure)

To set up this study as a formal hypothesis test, the null hypothesis (H0) would be that the average age of first childbirth among mothers at community colleges (CBC) is equal to the national average of 26 years old.

The alternative hypothesis (Ha) would be that the average age of first childbirth among CBC mothers is lower than the national average.
The next step would be to collect a random sample of CBC students who are mothers and determine their average age at first childbirth. This sample would be used to calculate the sample mean.
Once the sample mean is obtained, it can be compared to the national average of 26 years old. If the sample mean is significantly lower than 26, it would provide evidence to reject the null hypothesis in favor of the alternative hypothesis, supporting the student's hypothesis that the average age of first childbirth among CBC mothers is lower than the national average.
The student plans to conduct a hypothesis test to determine if the average age of first childbirth among mothers at CBC is lower than the national average.

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Answer:

Step-by-step explanation:

65%  is greater

Using the normal distribution, it is found that there is a 0.0013 = 0.13% probability that the mean weight of 25 pods of coffee is less than 42.035 grams.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters are given as follows:

\(\mu = 42.05, \sigma = 0.025, n = 25, s = \frac{0.025}{\sqrt{25}} = 0.005\)

The probability that the mean weight of 25 pods of coffee is less than 42.035 grams is the p-value of Z when X = 42.035, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{42.035 - 42.05}{0.005}\)

Z = -3

Z = -3 has a p-value of 0.0013.

0.0013 = 0.13% probability that the mean weight of 25 pods of coffee is less than 42.035 grams.

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The four corners of a square are 90 degrees.

They are evenly split by the diagonal lines, so each corner is now two 45 degree angles.

The lines form triangles, which have 3 angles that need to equal 180 degrees.

Two of the angles are 45, so 45 + 45 = 90 degrees.

X = 180 -90 = 90 degrees.

Answer:

90 degrees

By 90 * 4 is 360

Step-by-step explanation:

Answer: -68.97x+ 41.61y+11.4

Step-by-step explanation:

Answer:

x=-1/2 and y=15/4

Step-by-step explanation:

Rewrite equations:

x−2y=−8;5x+2y=5

Step: Solvex−2y=−8for x:

x−2y=−8

x−2y+2y=−8+2y(Add 2y to both sides)

x=2y−8

Step: Substitute2y−8forxin5x+2y=5:

5x+2y=5

5(2y−8)+2y=5

12y−40=5(Simplify both sides of the equation)

12y−40+40=5+40(Add 40 to both sides)

12y=45

12y/12=45/12 divide both sides by 12

y=15/4

Step: Substitute 15/4 for y in x=2y−8

x=2y−8

x=2(15/4)-8

x=-1/2 (simplify both sides of the equation.)

The required, rate of change of function B is greater than the rate of change of Function A.

Rate of change is defined as the change in value with rest to another entity is called rate of change.

Here,
For function 1 rate of change is given by the slope of the function,

m = (y₂ - y₁) / (x₂ - x₁)
m = 2 - 1 / 4 - 0
m = 1/4

m = 0.25

For function B, y = 0.75x - 2 rate of change has defined the slope of the function from the equation slope is m = 0.75.

So Slope of function B > Slope of function A

Thus, the rate of change of function B is greater than the rate of change of Function A.

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To determine the optimal moving average number, compare mean square error (MSE) values for three, four, and five weeks. Without these values, it's difficult to determine the best number of weeks.

To determine the best number of weeks of past data to use in the moving average computation, we need to consider the mean square error (MSE) values for different options. In this case, the MSE for the three-week moving average is given as 14.9.

To make an informed decision, we need to compare the MSE values for different numbers of weeks. Unfortunately, you haven't provided the MSE values for the four-week and five-week moving averages. Without these values, it is not possible to definitively determine which number of weeks would be the best for the moving average computation.

To make a recommendation, it would be helpful to have the MSE values for all three options (three, four, and five weeks). With that information, we could compare the MSE values and determine which number of weeks produces the smallest MSE, indicating a better fit to the data.

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