There are 140 rooms in a hotel. 20% have been decorated since the hotel opened. How many have not been redecorated?

Answer:

y=3/2x+7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-1)/(-2-(-4))

m=3/(-2+4)

m=3/2

y-y1=m(x-x1)

y-1=3/2(x-(-4))

y-1=3/2(x+4)

y=3/2x+12/2+1

y=3/2x+6+1

y=3/2x+7

Instead, the law governing the Federal Reserve

requires it to take a dual mandate into account.

The Federal Reserve's dual mandate, as stated in the Federal Reserve Act, is twofold:

1. Price Stability: The Federal Reserve aims to maintain stable prices and control inflation. While not exclusively focused on inflation targets, the Federal Reserve considers price stability as a crucial objective for promoting a healthy and sustainable economy.

2. Maximum Employment: The Federal Reserve also has a mandate to promote maximum employment. This means that it seeks to foster conditions that support robust job growth, reduce unemployment rates, and facilitate a strong labor market.

The dual mandate recognizes the importance of both price stability and employment in achieving overall economic stability and well-being. It reflects the broader responsibilities assigned to the Federal Reserve in managing monetary policy and guiding the nation's economic performance.

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Answer:

Step-by-step explanation:

it is 12.5

Answer: the answer is 12.5%

Answer:

Below

Step-by-step explanation:

Slope-intercept form of a line  is   y = mx + b     m is slope    b is intercept

so it is just   y = -3/4 x -4

A. x1, x2, x3, s1, s2 ≥ 0

B. New table au:

x1 x2 x3 s1 s2 RHS

x2 | 0 1 4/7 3/14 -1/14 1/2

s2 | 1 0 3/7 -1/14 3/14 3/2

Z | 0

a) Writing the problem in equation form and adding slack variables:

Maximize Z = 3x1 + 2x2 + x3

Subject to:

3x1 - 3x2 + 2x3 + s1 = 3

-x1 + 2x2 + x3 + s2 = 6

x1, x2, x3, s1, s2 ≥ 0

b) Solving the problem using the simplex method:

Step 1: Convert the problem into canonical form (standard form):

Maximize Z = 3x1 + 2x2 + x3 + 0s1 + 0s2

Subject to:

3x1 - 3x2 + 2x3 + s1 = 3

-x1 + 2x2 + x3 + s2 = 6

x1, x2, x3, s1, s2 ≥ 0

Step 2: Create the initial tableau:

x1 x2 x3 s1 s2 RHS

s1 | 3 -3 2 1 0 3

s2 | -1 2 1 0 1 6

Z | 3 2 1 0 0 0

Step 3: Perform the simplex method iterations:

Iteration 1:

Pivot column: x1 (lowest ratio = 3/1 = 3)

Pivot row: s2 (lowest ratio = 6/2 = 3)

Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:

s2 = -s2/3

x2 = x2 + (2/3)s2

x3 = x3 - (1/3)s2

s1 = s1 - (1/3)s2

Z = Z - (3/3)s2

New tableau:

x1 x2 x3 s1 s2 RHS

x1 | 1 -2/3 -1/3 0 1/3 2

s2 | 0 7/3 4/3 1 -1/3 2

Z | 0 2/3 2/3 0 -1/3 2

Iteration 2:

Pivot column: x2 (lowest ratio = 2/7)

Pivot row: x1 (lowest ratio = 2/(-2/3) = -3)

Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:

x1 = -3x1/2

x2 = x2/2 + (1/7)x1

x3 = x3/2 + (4/7)x1

s1 = s1/2 - (1/7)x1

Z = Z/2 - (2/7)x1

New tableau:

x1 x2 x3 s1 s2 RHS

x2 | 0 1 4/7 3/14 -1/14 1/2

s2 | 1 0 3/7 -1/14 3/14 3/2

Z | 0

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Answer:

-1/5

Step-by-step explanation:

Rise/Run = 1 /5

Its negative because the run is going left instead of right

Answer

The polynomial is

P(x) = 2x⁴ - 5x³ + 3x²

Explanation

We are told to write a polynomial of degree 4 with zeros (roots)

x = 1

x = (3/2) = 1.5

x = 0

x = 0 (multiplicity of 2 means it appears twice)

So, we can piece together the polynomial

P(x) = (x - 1) (x - 1.5) (x) (x)

We can write this as

P(x) = x² (x - 1) (x - 1.5)

= (x³ - x²) (x - 1.5)

We can multiply through by 2 to turn the 1.5 into a whole number

P(x) = (x³ - x²) (2x - 3)

= x³ (2x - 3) - x² (2x - 3)

= 2x⁴ - 3³ - 2³ + 3x²

= 2x⁴ - 5x³ + 3x²

Hope this Helps!!!

Answer:

To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.

-x + y = 4

y = x + 4

Now we can substitute this expression for y into the first equation and solve for x.

-2x + 2(x + 4) = 7

-2x + 2x + 8 = 7

8 = 7

The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.

Therefore, the solution to the system of equations is "No solution."

Note: Please be sure to double-check your work to avoid mistakes.

Step-by-step explanation:

Hope this helps you!! Have a wonderful day/night!!

Answer:

b = 4, b = 6

Step-by-step explanation:

consider the left side

x² + 10x + 24

consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (+ 10)

the factors are + 4 and + 6

then

x² + 10x + 24 = (x + 4)(x + 6) = (x + 6)(x + 4)

then (x + b) = (x + 4) or (x + 6)

with b = 4 or b = 6

Answer:

x=3

Step-by-step explanation:

15-2x=3x

solve for x:

15=5x

divided by 5:

3=x

Answer:

x = 3

Step-by-step explanation:

15  -2x = 3x     {Add 2x to both sides}

15 = 3x + 2x

15 = 5x

15/5 = x         {divide both sides by 5}

x  = 3

Answer:

Step-by-step explanation:

For question 1:The answer is 36-k.

Question 2: The answer is 61.

Question 3: The answer is 162.

Answer:

7,002,500

7 million is a 7 digit number.

2 thousand is a 4 digit number.

500 hundred is a 3 digit one.

The number seven million two thousand five hundred in standard form as 7,002,500.

The standard form of a number exists as a method of writing the number in a form that follows certain rules. Any number that can be noted as a decimal, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.

Given:

seven million two thousand five hundred

7 million exists a 7-digit number.

2 thousand exists as a 4-digit number.

500 hundred exists a 3-digit one.

Therefore, the correct answer is 7,002,500.

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The two inequalities that define the shaded region in the diagram are:

y ≥ 4 and y < x

For the solid vertical line, the slope (m) is 0. The inequality sign we would use would be "≥"  because the shaded region is to the left and the boundary line is solid.

The y-intercept is at 4, therefore, substitute m = 0 and b = 4 into y ≥ mx + b:

y ≥ 0(x) + 4

y ≥ 4

For the dashed line:

m = change in y / change in x = 1/1 = 1

b = 0

the inequality sign to use is: "<"

Substitute m = 1 and b = 0 into y < mx + b:

y < 1(x) + 0

y < x

Thus, the two inequalities are:

y ≥ 4 and y < x

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Answer:

There are 4 possible scenarios where given relation could not be a function:

i)  \((-1, 4), (0,4), (2,5), (3,-6), (-1, 7)\)

ii) \((-1, 4), (0,4), (2,5), (3,-6), (0, 7)\)

iii) \((-1, 4), (0,4), (2,5), (3,-6), (2, 7)\)

iv) \((-1, 4), (0,4), (2,5), (3,-6), (3, 7)\)

Step-by-step explanation:

From Function Theory, we remember that a relation is not a function when at least one element from domain (x-coordinate) is related to one or more elements from range (y-coordinate). Hence, there are four possibilities of making the relation not a function:

i)  \((-1, 4), (0,4), (2,5), (3,-6), (-1, 7)\)

ii) \((-1, 4), (0,4), (2,5), (3,-6), (0, 7)\)

iii) \((-1, 4), (0,4), (2,5), (3,-6), (2, 7)\)

iv) \((-1, 4), (0,4), (2,5), (3,-6), (3, 7)\)

Step-by-step explanation:

They can be found by considering where the second derivative changes signs. In similar to critical points in the first derivative, inflection points will occur when the second derivative is either zero or undefined.

make me brainlist

We know that taking out too many lines of credit can actually harm your credit score, so it's important to be cautious with how many accounts you open.

A way to build good credit is by paying bills when they are due. Additionally, using only secured loans can also help build good credit, as these loans require collateral and can be easier to qualify for.

Using only credit cards can also be a way to build good credit, as long as the cards are used responsibly and payments are made on time.

However, taking out too many lines of credit can actually harm your credit score, so it's important to be cautious with how many accounts you open.

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Answer 4/91  I don't know I'm not good at math but I hope it's right :)

Step-by-step explanation:  Convert mixed numbers into improper fractions: 22/3/4 = 91/4

= 1 ÷ 91/4

Convert element to fraction: 1 = 1/1

= 1/1 ÷ 91/4

Apply the fraction rule: = 1/1 x 4/91

Apply rule: a/a = 1

1/1 = 1

= 1 x 4/91

Multiply: 1 x 4/91 = 4/91

= 4/91

Answer:

No Solution

Step-by-step explanation:

We are given the equation:

\(\displaystyle \large{|x|-5=-20}\)

First, Add both sides by 5 which leaves us \(\displaystyle \large{|x|=-15}\)

By definition, an absolute value cannot be negative. There are no x-values that can equal to -15 because no matter what real numbers you put in or substitute, it will never become negative.

Hence, no solution.

The value of y₀ will the solution have a vertical asymptote at t = 7 and a t-interval of existence -infinity < t < 7 is y₀ = 1/14

We know that the solution of the initial value  problem y' = 2y2, y(0) = yo. is given by \($\frac{1}{y} = -2t + \frac{1}{y_0}$\), which simplifies to \(y = \frac{y_0}{1 - 2ty_0}$\)

For a vertical asymptote to occur at t = 7, the denominator of y must be zero at t = 7, which means 1 - 2ty₀ = 0 has to hold at t = 7. This gives us

y₀= 1/14.

To ensure that the solution exists for -∞<t<7, we need to make sure that the denominator 1 - 2ty₀ is never zero in that interval. Since y₀ > 0, we have

1 - 2ty₀ < 1, which means the denominator is always nonzero for any value of t in the interval -∞< t < 7.

Therefore, the only value of y₀ that satisfies both conditions is y₀ = 1/14

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Answer:

x=19

Step-by-step explanation:

The perimeter of the right triangle is

P=9+12+15 =36

The perimeter of the left triangle is

P =x-7+ x-7+ x-7 = 3x-21

Set them equal

36 = 3x-21

Add 21 to each side

36+21 = 3x-21+21

57 = 3x

Divide each side by 3

57/3 = 3x/3

19 =x

Answer:

\(x=19\)

Step-by-step explanation:

The perimeter of a shape is the sum of all of its side lengths. Therefore, the perimeter of the first triangle is \(x-7+x-7+x-7=3x-21\) and the perimeter of the second triangle is \(9+15+12=36\).

We are given that the perimeters of the triangles are equal, so \(3x-21\) equals \(36\). As an equation, that would be \(3x-21=36\). Solving for \(x\), we get:

\(3x-21=36\)

\(3x=57\) (Add \(21\) to both sides of the equation to isolate \(x\))

\(x=19\) (Divide both sides of the equation by \(3\) to get rid of \(x\)'s coefficient)

Hope this helps!

Answer:

Step-by-step explanation:

fx

Answer: {(-4, -2), (-1, -1), (1, 3) (1, 4), (7, 10) }

Step-by-step explanation: The rule is that a function must only have one input to one output. In the function above, x=1 is used twice, therefore this is not a function.

The kernel (null space) and image (column space) of the matrix A can be determined as follows:

Kernel (Null space):

To find the kernel of A, solve the equation Ax = 0, where x is a vector in the null space. The basis of the kernel is the set of vectors that satisfy this equation.

Image (Column space):

The image of A, also known as the column space, is the set of all possible linear combinations of the columns of A. The basis of the image is a set of linearly independent vectors that span the column space.

To find the basis of the kernel and image of the matrix A, we can start by performing Gaussian elimination or row reduction on A to obtain its row-echelon form or reduced row-echelon form.

The given matrix A can be written as:

A = [[-16, 8],

[12, -6]]

By performing row reduction, we can find the row-echelon form of A:

A = [[4, -2],

[0, 0]]

From the row-echelon form, we can see that the second row consists of all zeros. This implies that the equation Ax = 0 has a non-trivial solution, indicating that the matrix A has a non-trivial kernel.

To find the basis of the kernel, we can express the variables in terms of free parameters. In this case, we have one free parameter, let's say t, and we can express the kernel as:

Kernel (Null space)

:

x = t[2, 1]

(where t is a scalar)

The vector [2, 1] represents a basis for the kernel of A.

Next, to find the basis of the image (column space), we can observe that the first column of A is a multiple of the second column. This implies that the columns of A are linearly dependent, and the column space will be spanned by a single vector.

Image (Column space):

The basis of the image is a vector that spans the column space of A. In this case, we can take the first column of A as the basis vector for the image:

Image (Column space):

Basis = [2, 12]

In summary, the basis of the kernel (null space) of A is [2, 1], and the basis of the image (column space) is [2, 12]. These vectors represent the linearly independent vectors that characterize the kernel and image of the matrix A.

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Answer: A- 12.5 million

Step-by-step explanation: all you have to do is 125% of 10 million and you get 12.5 million.

Answer:

40 million

Step-by-step explanation:

125% of x

125/100 * x = 1.25x

x+ 10 = 1.25x

(subtract x from both sides)

10 = 1.25x - x

10 = 0.25x

(divide both sides by 0.25)

10/0.25 = x

x= 40

To write a number in scientific notation you must know:

1. A number in scientific notation is written as the product of a number (integer or decimal) and a power of 10

2. A number can be converted to scientific notation by increasing the power of 10 by one for each place the decimal point is shifted to the left.

Then so:

Answer:

Value of opposite ∠2 = 120°

Step-by-step explanation:

Given question:

Quadrilateral inscribed in a circle

Value of ∠1 = 60°

Find:

Value of opposite ∠2

Computation:

In Quadrilateral inscribed in a circle, sum of opposite angle is 180

So,

Value of ∠1 + Value of ∠2 = 180°

60 + Value of ∠2 = 180

Value of ∠2 = 180 - 60

Value of ∠2 = 120

Value of opposite ∠2 = 120°

Answer:

y=x4

Step-by-step explanation:

Answer:

y-intercept = 0

Step-by-step explanation:

Answer:

D

Step-by-step explanation: