(x + 3)^2-1=35

Create a list of steps

Answer:

A. The perimeter of the image is 4 times as large as the perimeter of the pre-image.

Explanation:

To answer this question, we use an example.

Given the pre-image:

• A square with side length 1 cm

• Perimeter = 4 x 1 = 4cm

If the square is dilated by a scale factor of 4:

• Side length = 4cm

• Perimeter = 4 x 4 =16cm

We see therefore that 'The perimeter of the image is 4 times as large as the perimeter of the pre-image.'

The correct choice is A.

Answer:9

Step-by-step explanation:

3/4 times 12=3(12/4)=3x3=9

Another way:

3/4=0.75

0.75x12=9

Step-by-step explanation:

9 that's your answer your welcome

The eigenvalues of the 2x2 matrix A can be found by solving the characteristic equation:λ² - tr(A)λ + det(A) = 0. Substituting tr(A)=4 and det(A)=-5, we get the equation λ² - 4λ - 5 = 0.

Factoring this quadratic equation, we get (λ-5)(λ+1)=0. So the eigenvalues are λ=5 and λ=-1. The smaller eigenvalue is -1 and the larger eigenvalue is 5.

Eigenvalues are a fundamental concept in linear algebra. They are special numbers that are associated with a square matrix A. An eigenvector is a nonzero vector x that satisfies the equation Ax=λx, where λ is a scalar called the eigenvalue.

The trace of a matrix is the sum of its diagonal elements, while the determinant is a measure of how much the matrix scales the area/volume of a vector space.

In this problem, we were given the trace and determinant of a 2x2 matrix A, and we were asked to find its eigenvalues. We used the characteristic equation λ² - tr(A)λ + det(A) = 0 to solve for the eigenvalues, and we got λ=5 and λ=-1.

The smaller eigenvalue is -1 and the larger eigenvalue is 5. These values give us information about how A scales vectors in different directions.

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(x+1) & (x-5) are the factors of given equation.

The given Equation is,

x3- \(3x^{3}\) - 9

Here, If we substitute x =5, in the given equation, then we find

     (5)3 - 3(5)3 - 9*5 -5 = 0

x-5 is factor of given equation to find another factor dividing given equation by x-5

    we will get =(x2+2x+1) after dividing the equation by x - 5

Hence x3- \(3x^{3}\) - 9 =(x2+2x+1) (x-5)

                            =(x+2)2 (x-5)

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Answer:

Multiply the denominator of the fractional part by the whole number, and add the result to the numerator.

Step-by-step explanation:

You can add or subtract mixed numbers by turning them to improper fractions first. Improper fractions are fractions where the numerator is greater than the denominator.

The probability of winning the prize if you switch is 2/3.

When you initially choose a box, there is a 1/3 chance that the prize is in your chosen box and a 2/3 chance that it is in one of the other two boxes.

When the dealer opens one of the other two boxes and shows it to be empty, the probability that the prize is in the remaining unopened box is still 2/3.

This is because the dealer has effectively given you new information that eliminates one of the two boxes you did not choose, but does not affect the probability distribution of the prize in the remaining two boxes.

Thus, if you switch to the other unopened box, you have a 2/3 chance of winning the prize, whereas if you stick with your original box, you have only a 1/3 chance of winning. Therefore, it is advantageous to switch.

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Answer:

p < -28

Step-by-step explanation:

This is a simple solve - all we have to do is treat it like a normal equation and solve for p.  This involves only one step - subtract 4 from both sides.  We now end up with p < -28.  And there you are!

Answer:

C

Step-by-step explanation:

P+4< - 24

P< - 24 - 4........collection of like terms

P< - 28

Answer:

x=b-10

Step-by-step explanation:

any is in a word problem means = and less than means subtract. I am only 90% sure this answer is correct but using my logic this is what I got.

The number that is b less than 10 will be given in the mathematical form as n = b - 10.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Express using algebra: The number that is b less than 10. Let the number be n. Then the equation is given as,

n = b - 10

The number that is b less than 10 will be given in the mathematical form as n = b - 10.

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Equation of the line is a way to represent the a line in a linear equation form with a set of point given in the graph.The approximate solution of the system given in the question is at point (-2.7,2.1). Thus the option A is correct.

The equation of the first lines which passes from the points (-3,1), (-2.7,2.1), and (0,3.5) is,

\(y=0.5x+3.5\)

The equation of the second line which passes from the points (-4,3),(-2.7,2.1), and ( 1/3,0) is,

\(y=-\dfrac{2}{3}x +\dfrac{1}{3}\)

Equation of the line is a way to represent the a line in a linear equation form with a set of point given in the graph.

The two lines in the graph intersect each other at point (-2.7,2.1).

This intersection of two lines indicates that at the point of intersection the coordinates of that point are the solution for the two variables.

Hence, the approximate solution of the system given in the question is at point (-2.7,2.1). Thus the option A is correct.

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Answer:25

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+x+9=65

2x=56

x=28

28,37

Answer:

one number= 28, other number= 37

Step-by-step explanation:

9+x+x=65

9+2x=65

2x=56

x=28

The probability that all coins show heads up is 1/16.

The probability of one is 1/2: Half of the time (on average, as all numbers in this answer will be) it will show heads.

Of those times it shows heads, only half of the time will the second coin also show heads. We're down to a quarter of the time now.

Of those times the second coin shows heads, only half of the time will the third coin also show heads. This is 1/8.

And, of the times the third coin also shows heads, only half of the time will the fourth coin also show heads. Half of 1/8 is 1/16.

You can simplify this by calculating (1/2)^4.

= 1/16

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Take all coins that are still on tails and keep flipping them until they land on heads. We flip 4 coins simultaneously. What is the probability that all coins show heads up?

The remaining balance on a $155,000 mortgage with a 7.75% interest rate and a 30-year term after 91/4 years (or 22.75 years) is approximately $87,343.

This is calculated by first determining the monthly payment, which is $947.05. Then, the number of remaining payments is calculated, which is 269. Finally, the remaining balance is calculated by multiplying the monthly payment by the number of remaining payments and subtracting it from the original loan amount.

Input the loan amount ($155,000), the interest rate (7.75%), and the loan term (30 years) into a mortgage calculator.

Determine the monthly payment.

Calculate the number of remaining payments (360 - 91/4 years).

Calculate the remaining balance by multiplying the monthly payment by the number of remaining payments and subtracting it from the original loan amount.

The remaining balance after 91/4 years can also be calculated using the following formula:

Remaining balance = (Original loan amount) - (Monthly payment × Number of remaining payments)

In this case, the remaining balance after 91/4 years is:

Remaining balance = ($155,000) - ($947.05 × 269) = $87,343

Therefore, the remaining balance on a $155,000 mortgage with a 7.75% interest rate and a 30-year term after 91/4 years (or 22.75 years) is approximately $87,343.

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The complete question is:

Compute The Balance, At 91/4 Years, On A $155,000,7.75%, 30-Year Mortgage.

Answer:

See below ~

Step-by-step explanation:

(a)

(b)

Answer:

2

Step-by-step explanation:

3.60+3.60=7.20 thats correct

Answer:

Assuming the graphs are abcd, 1 is b, 2 is c, 3 is a, and 4 is d.

Step-by-step explanation:

Answer:

Surface area of a cone = 461.58 In²

Step-by-step explanation:

Surface area of a cone = πrl + or

Surface area of a cone = πr(r+l)

Where r = radius

Radius= diameter/2

Radius=14/2

Radius= 7 inch

And l slant height= 14 inch

Surface area of a cone = πr(r+l)

Surface area of a cone = π*7(7+14)

Surface area of a cone = 7π(21)

Surface area of a cone = 147π

Surface area of a cone = 461.58 In²

The system is stable.

To determine the stability of the system, we need to look at the roots of the characteristic equation D(s). If all the roots have negative real parts, then the system is stable. If any root has a positive real part, then the system is unstable.

To find the roots of D(s), we can use the Routh-Hurwitz criterion. The Routh-Hurwitz table for this equation is:

1   2   12
3   9   20
-5  -20
-16

Since there are no sign changes in the first column of the table, all the roots of D(s) have negative real parts. Therefore, the system is stable.

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Answer:what

Step-by-step explanation:what does this mean

(a) The equation to find x is 4x + 22 = 90.

(b) The degree of each angle:

The sum of angle 1 and 2 is equal to right angle.

The value of a right angle is equal to 90°.

In the figure, we have a right angle and one line in it. It makes two angles 1 and 2 with

(a) Find an equation to find x!

(b) Find the degree measure of each angle!

The sum of angle 1 and 2 is equal to 90°. So,

m∠1 + m∠2 = 90

3x + x + 22 = 90

4x + 22 = 90

This is the equation to find x. Then, we find x.

4x + 22 = 90

4x = 90 - 22

4x = 68

x = 68/4

x = 17°

The degree measure of each angle will be

m∠1 = 3x

m∠1 = 3(17)

m∠1 = 51°

m∠2 = x + 22

m∠2 = 17 + 22

m∠2 = 39°

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The percentage change is by 30% and it indicates percentage increase due to increase in new quantity.

The percent change will be calculated using the formula -

Percentage change = difference in quantity ÷ original quantity × 100

Difference in quantity will further be expressed by the formula -

Difference in quantity = New quantity - original quantity

Keep the values in formula for calculation. Firstly finding the difference in quantity.

Difference in quantity = 39 - 30

Performing subtraction

Difference in quantity = $9

Percentage change = 9/30×100

Performing division and cancelling zero

Percentage change = 30%

The mentioned scenario represents percentage increase.

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Answer:

I believe its 20% not exactly sure tho.

Step-by-step explanation:

You're welcome.

It's easy it's : 7.50=750% 9.00=900

good luck!:)

Answer:

el pepe

Step-by-step explanation:

To determine the number of beads that contain at least two different colors, subtract the number of beads that contain only one color from the total number of beads.

1. Calculate the number of beads that contain exactly one color:

2. Calculate the total number of beads:

3. Subtract the number of beads that contain only one color from the total number of beads to find the number of beads with at least two different colors:

Let's take an example to illustrate this:

Suppose there are 4 different colors available (n = 4), and there are a total of 100 beads (m = 100).

Calculate the number of beads that contain exactly one color:

Number of beads with exactly one color = n * n = 4 * 4 = 16.

Calculate the number of beads with at least two different colors:

Number of beads with at least two different colors = Total number of beads - Number of beads with exactly one color.

Number of beads with at least two different colors = 100 - 16 = 84.

So, in this example, there are 84 beads that contain at least two different colors.

In general, to find the number of beads that contain at least two different colors, subtract the number of beads with exactly one color from the total number of beads, using the formula derived in steps 1 and 2.

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Lasso, ridge regression, and random forest models have been applied successfully in Malaysia to predict economic growth, crime rates, and the performance of Islamic banking institutions.

Lasso, ridge regression, and random forest approach that are suggested in the article could be applied to Malaysia. Lasso and ridge regression are regression models that are used to prevent overfitting, which is common when there are many predictors and few observations. Random forest is a decision tree-based model that is used for classification and regression analysis.

The study by Ashraf and Khan (2018) aimed to predict the economic growth of Malaysia by using regression models. The study used the Lasso regression model as it has been used for feature selection, where it can automatically remove unnecessary predictors from the model, and is good at handling multicollinearity. The study concluded that Lasso regression was the best model to predict economic growth in Malaysia.

In another study by Rizwan et al. (2017), it was found that random forest could be used to predict crime rates in Malaysia with a high degree of accuracy. In a study by Sulaiman et al. (2020), it was found that ridge regression can be used to predict the performance of Islamic banking institutions in Malaysia.

To conclude, Lasso, ridge regression, and random forest models have been applied successfully in Malaysia to predict economic growth, crime rates, and the performance of Islamic banking institutions.

Therefore, it can be said that these models can be used in Malaysia to make predictions.

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To form a polynomial with given zeros and degree, we need to use the fact that if a polynomial has a zero of x = a, then it can be factored as (x - a) times some other polynomial.

This means that if we know the zeros of a polynomial, we can write it in factored form, and then multiply out the factors to get the polynomial in standard form.

The degree of the polynomial tells us how many factors are necessary. For example, if the degree is 3, we know that the polynomial can be factored into three linear factors, one for each zero.

To illustrate this process, let's say we want to form a polynomial of degree 4 with zeros of x = 2, x = -1, and x = 3. We would start by writing the polynomial in factored form as:

f(x) = (x - 2)(x + 1)(x - 3)(ax + b)

Since the degree is 4, we need to include one more factor. We can use the coefficients a and b to determine this factor. To do so, we can either use the value of the leading coefficient (which is a in this case) or a point on the polynomial (i.e., a value of x and f(x)).

Once we have determined the value of a, we can solve for b by setting a point on the polynomial equal to a known value.

Finally, we can multiply out the factors to get the polynomial in standard form:

f(x) = (x - 2)(x + 1)(x - 3)(2x - 4)

f(x) = 2x^4 - 8x^3 - 13x^2 + 22x - 12

In conclusion, to form a polynomial with given zeros and degree, we need to use the fact that a polynomial can be factored as (x - a) times some other polynomial if it has a zero of x = a.

We can write the polynomial in factored form, determine the missing factor(s) using the degree and coefficients, and then multiply out the factors to get the polynomial in standard form.

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Malena's steps arranged sequentially are :

The first step :

2x + 5 = -10 - x

collecting like terms

2x + x = -10 - 5

step 2 : Using the appropriate numerical operator:

3x = -15

step 3 : divide both sides by 3 to isolate x

x = -5

Hence, the required steps as arranged above .

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