In a secured loan, collateral is _________.

A) Valuable property that the borrower promises to give the lender in the event of default on the loan.

B) An agreement made in civil court agreeing that the borrower may be arrested in the event of default on the loan.

C) An agreement signed by a co-borrower promising to pay the loan in the event the primary borrower defaults on the loan.

D) And insurance policy taken out by the lender and paid for by the borrower to cover the lender from loss in the event of default.
Please explain.

The composite functions are f(g(x)) = 2(3x + 3)² - 2(3x + 3) - 1 and g(f(x)) = 3(2x² - 2x - 1) + 3

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

f(x) = 2x² - 2x - 1

g(x) = 3x + 3

So, we have the following equations

f(g(x)) = 2(g(x)²) - 2g(x) - 1

substitute the known values in the above equation, so, we have the following representation

f(g(x)) = 2(3x + 3)² - 2(3x + 3) - 1

Also, we have

g(f(x)) = 3f(x) + 3

g(f(x)) = 3(2x² - 2x - 1) + 3

Hence, the composite functions are f(g(x)) = 2(3x + 3)² - 2(3x + 3) - 1 and g(f(x)) = 3(2x² - 2x - 1) + 3

Read more about composite functions at

https://brainly.com/question/10687170

#SPJ4

Question

Let f(x) = 2x² - 2x - 1 and g(x) = 3x + 3

Determine the rule for the composite functions ( f o g ) and ( g o f)(x)

Answer:

True

Step-by-step explanation:

Sometimes referred to as a numerical value, the absolute value is the non-negative value of a real number without regard for its sign. For example, the absolute value of both 12 and -12 is 12.

HOPE THIS HELPS!! (please give brainliest)

Answer:

true

Step-by-step explanation:

Answer:

15,600 Gallons

Step-by-step explanation:

The 30% of 12000 is 3600 thus, Jessica's family used 15600 gallons of water.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Last used of water = 12000

30% of 12000 = (30/100)12000 = 3600

Water used in the current year = 12000 + 3600 = 15600 gallons.

Hence "The 30% of 12000 is 3600 thus, Jessica's family used 15600 gallons of water".

For more about the percentage,

brainly.com/question/13450942

#SPJ2

Answer:

It is C

Step-by-step explanation:

If it is flipped it will look like C

The vertex and range are (-2, -3) and y >= -3 respectively

The equation is given as:

y = |x +2| - 3

The above equation is an absolute value equation

An absolute value equation is represented as:

y = a|x - h| + k

Where

Vertex = (h, k)

So, we have

Vertex = (-2, -3)

Also, we have

a = 1

Since a is positive, then the vertex is a minimum

Hence, the vertex and range are (-2, -3) and y >= -3 respectively

Read more about absolute value equation at

https://brainly.com/question/17795998

#SPJ1

The function represents the domain of a function is x ≥ -2.

What is a graph of a quadratic function?

A graph of a quadratic function is a type of parabola, which is a symmetric, U-shaped curve that opens either upward or downward. The equation of a quadratic function is y = ax² + bx + c, where x and y are variables, and a, b, and c are constants.

The graph of a quadratic function is determined by the value of the coefficient a. If a is positive, the parabola opens upward, and if a is negative, the parabola opens downward. The vertex of the parabola is the highest or lowest point on the graph and it is the point of symmetry of the parabola. The x-coordinate of the vertex is given by -b/(2a) and the y-coordinate of the vertex is given by the value of the function at that point.

In the given figure, we can see that it is a parabola, and if we look towards the options, then the third option is a domain of the given function

x ≥ -2

So we can say this is the perfect match for the given figure.

Hence, the function represents the domain of a function is x ≥ -2.

To learn more about the graph of a quadratic function, visit:

https://brainly.com/question/24191982

#SPJ1

Answer:

Step-by-step explanation:

Hello! My name is Chris and I’ll be helping you with this problem.

Date: 9/28/20 Time:  11:21 am CST

Answer:

B

Explanation:

Yes, you are right! It is already 586 feet under (-586) and you're adding 80 more to its depth (-80)

I hope this helped answer your question! Have a great rest of your day!

Furthermore,

Chris  

Answer:

62 degrees

Step-by-step explanation:

Points (12,440 and (20,20)

Slope = -3

Equation of line: y - 44 = -3(x - 12)

Plug in x = 6 to get y = 62.

Answer:

Lets break this down

The question asks for “How many balloons does she end up with”?

A important fact is that Jan doesn’t care what color she has.
So using this we can disregard the colors.

She is only allowed to have 60 percent of all the balloons she choosed.

So lets add them.

10 + 12 +8 + 9 = 39

She chose 39 balloons in total.
Since she doesn’t care about the color we can jsut find 60 percent of 39.

In order to find this we just multiply 60% of 39.

Percentage means out of a hundred so 60 percent is 60 out of a hundred or in this age 60/100.

Now 60/100 is basically 0.6

So we multiply 39 by 0.6

23.4 is the answer.

Now you can’t have .4 of a balloon so we jsut round down for any decimal in this case.

23.4 is 23 now.

So 23 balloons is the amount of balloons Jan ends up with

The probability that the same proportion will be between 0.915 and 0.946 is 0.0819

The normal distribution is useful for solving problems related to different types of distributions. In some cases, it is necessary to calculate the mean or standard deviation according to the characteristics of the data or the related distribution.

We have p=0.85, q=1-p=0.15

Standard error of the sample proportion

\(\sigma_{\bar{p}} = \sqrt{\dfrac{p(1-p)}{n}} =\sqrt{\dfrac{0.85 \times 0.15}{51}}=0.05\)

We will use the normal distribution with the following data

μ=0.85

σ=0.05

x1=0.9115

x2=0.946

We want to calculate P( 0.9115 < x < 0.946)

\(\text{The z-value for } \, x_1 = 0.9115 \, \text{is} \\ z_1=\dfrac{ 0.9115 - 0.85 }{ 0.05 } = 1.23\)

\(\text{Using a Table of Areas Under the Normal Curve, we have that the probability under} \, z_1= 1.23 \, \text{is} \, 0.8907\)

\(\text{The z-value for } \, x_2 = 0.946 \, \text{is} \\ z_2=\dfrac{ 0.946 - 0.85 }{ 0.05 }= 1.92\)

\(\text{The probability under} \, z_2= 1.92 \, \text{is} \, 0.9726\)

Therefore,

P(0.9115<x<0.946)=P(1.23<z<1.92)

=P(z<1.92)−P(z<1.23)

=0.9726−0.8907

= 0.0819

So, the probability for the same is 0.0819

Learn more about probability:

https://brainly.com/question/16722133

#SPJ4

The statistical value describes a regression line fits the data points:

R-squared

What is Statistical Value?

When it is extremely unlikely that an observed event occurred by accident, it is deemed statistically significant. An observed event is considered statistically significant when its p-value is less than a certain cutoff, or level of significance.

The statistical value describes a regression line fits the data points is

R-squared

The statistical indicator of how closely the data resemble the fitted regression line is called R-squared. For multiple regression, it is sometimes referred to as the coefficient of determination or the coefficient of multiple determination.

R-squared = Explained variation / Total variation

R-squared is always between 0 and 100%

The better the model matches your data, in general, the greater the R-squared.

To learn more about Statistical value click on the link

https://brainly.com/question/15525560

#SPJ4

Answer:

178 correct problems

Step-by-step explanation:

turn the percentage into a decimal (0.89) and multiply it by the number of questions

Answer: 178

Step-by-step explanation:

89% x 200. Change percent to decimal by moving the decimal to the left two places.

.89 x 200 = 178

Answer:

Step-by-step explanation:

These options are in the middle.

Here are the options verified:

Answer:

46

Step-by-step explanation:

5x = 3x - 2 + 34

5x = 3x + 32

2x = 32

x = 16

plug back in

3( 16 ) - 2

48 - 2

46

The probability that the random variable has a value between 0.1 and 3.3 is 0.0256. Option b is correct answer.

Since the area under the density curve represents the total probability, we need to find the area between the vertical lines at x = 0.1 and x = 3.3, and under the curve.

First, we need to find the y-coordinates of the two horizontal lines. The line passing through (0, 125) and (8, 125) is parallel to the x-axis, so it has a constant y-coordinate of 125. The line passing through (8, 0) and (8, 125) is parallel to the y-axis, so it has an undefined slope and is a vertical line.

Therefore, we do not need to find its y-coordinate.

Next, we need to find the equation of the density curve. Since it is a uniform density curve, the height of the curve is constant over its entire length.

To find the height, we need to find the total area under the curve, which is given by the rectangle formed by the vertical lines at x = 0 and x = 8, and the horizontal lines at y = 0 and y = 125.

The width of the rectangle is 8, and the height is 1/125 (since the total area is 1 and the width is 8). Therefore, the height of the curve is 1/125 over its entire length.

Now, we can find the area between the vertical lines at x = 0.1 and x = 3.3, and under the curve.

The width of this area is 3.3 - 0.1 = 3.2, and the height of the curve is 1/125. Therefore, the area is:

3.2 × (1/125) = 0.0256

Therefore, the probability that the random variable has a value between 0.1 and 3.3 is 0.0256.

Learn more about probability at

https://brainly.com/question/30034780

#SPJ4

The question is -

Using the following uniform density curve,

What is the probability that the random variable has a value between 0.1 and 3.3?

A) 0.5875 B) 0.0256 C) 0.3750 D) 0.2125

The calculated value of x is 2

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

Dimension of the piece of land = 9.8 by 7.2

Using the above as a guide, we have

Area = 9.8 * 7.2

Evaluate

Area = 70.56

For the square with the side length x, we have

Area = x²

So, the number of squares is

Squares = 70.56/x²

Note that the only factors that can divide 9.8 and 7.2 is 2

This means that

Squares = 70.56/2²

Evaluate

Squares = 17.64

So, the area of each square is 17.64 and the value of x is 2

Read more about areas at

https://brainly.com/question/24487155

#SPJ1

Answer:

2x-3

Step-by-step explanation:

Answer:

7× • 3

Step-by-step explanation:

This might be the answer

Answer:   3(6a+5)

We can confirm this by distributing the 3 back in

3*6a = 18a

3*5 = 15

So 3(6a+5) = 3*6a+3*5 = 18a+15

The process of factoring polynomials like this is basically using the distributive property in reverse.

Answer:

3(6a + 5)

Step-by-step explanation:

1)  Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into 18a and 15?

It is 3.

2 - What is the highest degree of a that divides evenly into 18a and 15.

It is 1, since a s not in every term.

3 - Multiplying the results above,

The GCF is 3.

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

3 (18a/3 + 15/3)

3)  Simplify each term in parentheses.

3(6a + 5)

The mean of the sampling distribution of sample means is 150, and the standard deviation of the sampling distribution of sample means is 2.30.

The mean of the sampling distribution of sample means is equal to the population mean, which is 150 in this case. This is because the sampling distribution is created by taking random samples from the population, and the mean of any random sample will be equal to the population mean.

The standard deviation of the sampling distribution of sample means is equal to the population standard deviation divided by the square root of the sample size. In this case, the population standard deviation is 23, and the sample size is 42. Therefore, the standard deviation of the sampling distribution of sample means is 2.30.

The standard deviation of the sampling distribution of sample means is always less than the population standard deviation. This is because the sampling distribution of sample means is based on random samples, and random samples tend to vary less than the population as a whole.

To learn more about standard deviation click here : brainly.com/question/13498201

#SPJ11

The proportion of the team that work part time is 2/13 or 0.154

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the equation will be

Let the total number of workers in the furniture store be = 13 employees

Let the number of workers who are part time = 2 workers

So , proportion of the team that work part time = number of workers who are part time / total number of workers in the furniture store

On simplifying , we get

The proportion of the team that work part time = 2 / 13

The proportion of the team that work part time = 0.154

Hence , the proportion is 2/13 or 0.154

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ1

Answer:

8.

Step-by-step explanation:

91-35=56

56/7=8

Answer:

It's D on study island

Step-by-step explanation:

Answer:

A is false  (Y is far left of 0, so it is a negative. H is close to 0 so it is positive. Y is farther from zero, so it is bigger. For example, Y could be -7, and H could be 3. The sum of -7 and 3, would be -5.

B is false (E is on the left of 0 so it is negative. Y is on the left of zero so it is also negative. Negative divided by a negative is a positive )

C is false  (H is positive and E is negative. Positive times a negative equals a negative.)

D is true (A is close to zero, so it is a small positive number. H is farther from zero, so it is a larger positive number. For example, A can be 2 and H can be 5. So, 3 - 5 would equal a negative.)

Proportion of pregnancies that last fewer than 276 days is approximately 0.7340 or 73.40%.

Given, mean (μ) = 266 days and standard deviation (σ) = 16 days.

Let X be the length of pregnancies, then X follows the normal distribution with mean (μ) = 266 and standard deviation (σ) = 16.

We need to find the probability that a pregnancy lasts fewer than 276 days i.e. P(X < 276).

To find this probability, we standardize the variable X using the standard normal distribution formula:

z = (x - μ) / σ

where z is the standard normal random variable.

Substituting the given values, we get:

z = (276 - 266) / 16 = 0.625

Using a standard normal distribution table or calculator, we can find that the probability of a standard normal random variable being less than 0.625 is approximately 0.7340.

Therefore, the proportion of pregnancies that last fewer than 276 days is approximately 0.7340 or 73.40%.

Explanation: This means that out of 100 pregnancies, around 73 pregnancies will last fewer than 276 days.

Learn more about Proportion of pregnancies.

brainly.com/question/15086320

#SPJ11

Answer:

350 ml

Step-by-step explanation:

there are 3 sugar parts so each one is worth 70

70x5 = 350

The number line that models the total amount of time Ava will practice piano in all is shown in the figure and  Ava will practice piano for a total of 6 hours.

We can model the total amount of time Ava will practice piano in all using a number line. Since she practiced for 3 hours yesterday and is going to practice for another 3 hours today, we can represent this on a number line as follows:

The number line above represents the total amount of time Ava will practice piano in all. The first mark (0) represents the starting point, which is when she has not started practicing yet. The second mark (3) represents the time she spent practicing yesterday, and the third mark (6) represents the time she will spend practicing today. The distance between the first mark and the third mark (0 to 6) is the total amount of time Ava will practice piano in all, which is 6 hours.

Learn more about number line here

brainly.com/question/16191404

#SPJ4