5(2w-3) Please solve

Let’s solve the equation x^2 - 4x = 5 by factoring:

First, we’ll move all the terms to one side of the equation:

x^2 - 4x - 5 = 0

Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:

(x - 5) (x + 1) = 0

Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:

x - 5 = 0 or x + 1 = 0

Solving each equation separately, we find that x = 5 or x = -1.

So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.

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\(g(x) = | \frac{1}{5}x | \\ \)

Thus the correct answer is (( B )) .

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Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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Considering the given discrete probability distribution, the probability of a randomly selected purchase having at most three tickets is P(X ≤ 3) = 0.92.

From the table, the distribution for the number of tickets bought in the purchase is given by:

The probability of a randomly selected purchase having at most three tickets is:

P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3) = 0.17 + 0.55 + 0.20 = 0.92.

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Step-by-step explanation:

area of square = 1

area of a circle in square = \(\pi r^2 = \pi *(1/2)^2 = \frac{\pi }{4}\)

bu estimate  \(p^ = X/n = 760/1000 = 0.76

Therefore,

\(\frac{\pi }{4} \approx 0.76\)

\(\pi \approx 0.76*4 =3.04\)

b) if n tend to infinity

\(\pi will approach 3.14\)

Answer:

uvfhmfa

Step-by-step explanation:

For each probability, transform the normal random variable X with mean 19 and s.d. 4.04 to a standard normal random variable Z with mean 0 and s.d. 1, using the rule

Z = (X - 19) / 4.04

(a) Pr[15 ≤ X ≤ 20] = Pr[(15 - 19)/4.04 ≤ (X - 19)/4.04 ≤ (20 - 19)/4.04]

… ≈ Pr[-0.9901 ≤ Z ≤ 0.2475]

… ≈ Pr[Z ≤ 0.2475] - Pr[Z ≤ -0.9901]

(since Z is a continuous random variable)

… ≈ 0.4367

(b) Pr[X > 20] = Pr[(X - 19)/4.04 > (20 - 19)/4.04]

… ≈ Pr[Z > 0.2475]

… ≈ 1 - P[Z ≤ 0.2475]

(taking the complement probability)

… ≈ 0.4023

(c) Pr[X < 15] = 1 - Pr[15 ≤ X ≤ 20] - Pr[X > 20]

(also taking the complement)

… ≈ 0.1611

a) If Lavender acquires the shopping mall, the corresponding tax liability related to the net rent income is $ 500000.

b) If Marci and Jennifer acquire the shopping mall and lease it to the corporation, their combined corresponding tax liabilities $135478 Lavender's corresponding tax liability under this scenario would be $ 160230

Marci and Jennifer each own 50% of the stock of Lavender.

reasonable" salary of Marci = $125,000

taxable income of Lavender = $600,00

Corporation is about to purchase = $2,000,0000

A net rent income (that is, includes rental commissions, depreciation, and so forth) of $500,000 annually.

(a) The corresponding tax liability related to the net rent income = $ 500000

As there are no expenses and it is the net income, so rental income = $ 500000

(b) Combined tax liabilities of Marci & Jennifer :

Total salary $ 125000× 2= $ 250000

Rental income = $ 300000

less: deduction= $ 24000

Total income = $ 526000

The above table represents the taxable income and tax rates.

tax liability= $ 135478

Lavender's tax liability :

Income = $ 600000

less: rent paid = $ 300000

depreciation= $ 37000

add: rent received= $ 500000

Total income = $ 763000

Tax liability= 21 % of 763000= $ 160230

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Answer:

49.09 miles per day

Step-by-step explanation:

There are 5,280 feet in one mile.

There are 60 seconds in one minute.

3 * 60 = 180 feet per minute

There are 60 minutes in one hour.

180 * 60 = 10,800 feet in one hour.

There are 24 hours in one day.

10,800 * 24 = 259,200 feet per day.

Divide to find how many miles she can walk.

259,200 / 5,280 = 49.09 miles

Best of Luck!

Answer:

±1,±2,±3 and ±6

Explanation:

We make use of the Rational Zero theorem below:

If a polynomial has integer coefficients, then every rational zero of f(x) has the form p/q where p is a factor of the constant term ​and q is a factor of the leading coefficient.

Given the function:

The steps to follow are given below.

Step 1: Determine all factors of the constant term and all factors of the leading coefficient.

The constant term is 6: Factors are ±1,±2,±3 and ±6

The leading coefficient is -4: Factors are ±1,±2, and ±4.

Step 2: Determine all possible values of p/q.

Therefore, the potential zeros are: ±1,±2,±3 and ±6.

Answer:

answer should be x = -3y/2 + 6

hope it helps :D

The graph of f(x) =\(2^{x}\)  is an increasing function, meaning that as x increases, the value of f(x) also increases.

Graph is a data structure that consists of nodes (vertices) and edges. A graph is used to represent relationships between objects, such as a network of roads or a social network. Graphs can be directed (with arrows going in one direction) or undirected (with no direction). Graphs can be weighted (with values assigned to edges) or unweighted (without values). Graphs are used in many areas, including computer science, mathematics, machine learning, and engineering.

The graph of f(x) =\(2^{x}\)  is a exponential graph that has a vertical asymptote of y = 0 and a horizontal asymptote of x = infinity. Its graph is shown in the figure below:

(Graph of f(x) = \(2^{x}\))

The graph of f(x) = \(2^{x}\) is an increasing function, meaning that as x increases, the value of f(x) also increases. As x approaches negative infinity, the value of f(x) approaches 0. As x approaches positive infinity, the value of f(x) approaches infinity.

The domain of f(x) = \(2^{x}\) is the set of all real numbers, and the range of this function is the set of all positive real numbers. The graph of this function has no local minima or maxima, and it is continuous everywhere.

This graph is useful in many areas of mathematics, such as calculus, probability, and statistics. It is also used in physics and engineering to model exponential growth and decay.

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The equation of a line in slope-intercept form is given as

The slope of the line is 6

Hence, m = 6

Since the line passes through the point (3, 1)

Hence,

Substitute the values into the equation

This gives

Simplify the equation

Therefore, the equation of the line is

Answer:

The original number is -22

Step-by-step explanation:

We'll label our mystery number x.

2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22

Plug in to confirm

-44 + 36 = -88/11S
8 = 8

The equation of the function shown in the graph is y = 2sin(-4x) - 2 after applying the transformation.

It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a ]where is the amplitude of the function.

As we know,

The standard form of the sin function is:

y = asin(bx) + c

From the graph, we get the values of a, b, and c

Or

On applying a transformation to the function:

y = sinx

y = 2sinx (function will strech vertically)

y = 2sinx - 2 (function will shift down by 2 units)

y = 2sin(-4x) - 2 ( function will reflect and shrink by factor 4)

Thus, the equation of the function shown in the graph is y = 2sin(-4x) - 2 after applying the transformation.

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The perimeter of the given window is 48 centimeter.

From the given figure,

Perimeter of window = 2(Length+Breadth)

= 2(10+14)

= 2×24

= 48 centimeter

Perimeter of house = 2(Length+Breadth)

= 2(37+35)

= 2×72

= 144 centimeter

Perimeter of roof = 2(Length+Breadth)

= 2(37+5)

= 2×42

= 84 centimeter

Therefore, the perimeter of the given window is 48 centimeter.

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The square of a binomial, when the binomials are subtracted, is defined as follows:

(a - b)² = a² - 2ab + b².

When the two binomials are added, the square is given as follows:

(a + b)².

Expanding the square, we have that:

(a + b)² = (a + b) x (a + b).

(a + b)² = a² + ab + ab + b².

(a + b)² = a² + 2ab + b².

Which is the result presented in this problem.

Now, when the binomial has a minus sign, involving a subtraction, the pattern is obtained as follows:

(a - b)² = (a - b) x (a - b).

(a - b)² = a² - ab - ab + b².

(a - b)² = a² - 2ab + b².

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Answer:

If you are asking me to combine the expressions, then we can combine like terms to get 19x-6

Step-by-step explanation:

Answer:

8.2296 meters of fabics to make drapes.

Answer:

Step-by-step explanation:

\(x^{2} + 6x-6= 10\\x^{2} +6x-16=0\\x^{2} -2x+8x-16=0\\x(x-2)+8(x-2)=0\\(x-2)(x+8)=0\\x = 2\\or\\x = -8\)

Answer:

X = 2 and X = -8

Step-by-step explanation:

X2 + 6X - 6-10 = 0 ....... when +10 pass the equality sign it will become -10

X2 + 6X -16 =0

here we need to find if there are two numbers there sum is +6 and there product is -16.

here we need to find if there are two numbers there sum is +6 and there product is -16.The two numbers are -2 and +8

-2+8= +6

-2*8= -16

( X - 2 ) * ( X + 8 ) =0

X - 2 = 0 ...... when -2 pass equality sign it will become+2

X = 2

X + 8 =0 ..... when +8 pass equality sign it will become -8

X = -8

Increasing 2400 by 5% gives us 2520

we can increase the value by using the formula:

\(initial value+ percentage increase *initial value\) = increased percentage

in the aforementioned question we have

initial value = 2400

percentage increase = 5%

thus we can find out the increased percentage by:

2400 + 2400 X (5/100)

=2400 + 120

=2520

the value by which 2400 is increased is 120

to arrive at the increased value which is 2520

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The chart does not represent a linear quantity

From the chart, we have the following coordinates

(x, y) = (0.10, 0.14), (0.50, 0.32), (1.00, 0.46), (1.70, 0.59) and (2.00, 0.63)

To determine if the chart is a linear quantity, we simply calculate the slope using the coordinates.

The slope is calculated as:

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

So, we have:

m = (0.32 - 0.14)/(0.50 - 0.10) = 0.45

m = (0.46 - 0.32)/(1.00 - 0.50) = 0.28

In the above computations, the calculated slopes are not equal

Hence, the chart does not represent a linear quantity

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The side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

To order the side lengths IK, KL, IJ, IL, and LJ from least to greatest, we can analyze the given figure.

Since the figure is not drawn to scale, we cannot determine the exact lengths of the sides. However, we can make some observations based on the given angles.

Let's analyze the angles:

Angle L: Since angle L is marked as 47°, we know that side KL is the shortest side, as it is opposite to the smallest angle in a triangle.

Angle I: Since angle I is marked as 20°, we can infer that side IJ is longer than side IK, as it is opposite to a larger angle.

Angle LJ: Since angle LJ is marked as 89°, we can conclude that side LJ is the longest side, as it is opposite to the largest angle in the triangle.

Based on these observations, we can order the side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

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The answer is A. y = 3|x+4|.

Which is a two-dimensional graph?

A graph with data expressed on both the x-axis and the y-axis is said to be two-dimensional.

The two lines pass through the points (-4,0) and (-5,3), and (-4,0) and (-1,3), respectively. Both lines have a slope of (3-0)/(-5+4) = 3 and (3-0)/(-1+4) = 1, respectively. Therefore, the equations for the lines can be written as:

y = 3(x+4) and y = x+3

To find the equation for the graph that represents both lines, we need to use the absolute value function to combine the two equations. The equation for the graph is:

y = |3(x+4)| + |x+3|

Simplifying this equation, we can write it as:

y = 3|x+4| + |x+3|

Therefore, the answer is A. y = 3|x+4|.

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Using the method of completing the square we have been able to show that the roots are; (-1 ± √6)/2

We are given the quadratic equation;

4x² + 4x - 5 = 0

Step 1; Divide through by 4 to get;

x² + x - ⁵/₄ = 0

Step 2; Keep x terms on the left and move the constant to the right side

by adding it on both sides to get;

x² + x = ⁵/₄

Step 3; Take half of the  term and square it then add the result to both sides to get;

x² + x + ¹/₄ = ⁵/₄ +  ¹/₄

Step 4; Rewrite the perfect square on the left;

(x + ¹/₂)² = ³/₂

Step 5; Take the square root of both sides to get;

(x + ¹/₂) = ±√³/₂

Step 6; Subtract 1/2 from both sides and simplify to get;

(-1 ± √6)/2

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we have that

If point C is a point of tangency

then

triangle ACD is a right triangle

so

Applying Pythagorean Theorem

DA^2=AC^2+CD^2

we have

AC=8 units

CD=15 units

substitute

DA^2=8^2+15^2

DA^2=64+225

DA^2=289

Part 2

Find DE

we have that

DA=DE+EA ------> by addition postulate theorem

we have

DA=17 units

EA=AC=8 units

substitute

17=8+DE

The commission for the sale of $33000 worth of items at 6 percent is $1980 and if the sale doubles than the commission would be $3960

Given that the commission rate is 6%

If the sales done is 33000 dollars then the commission received by the agent would be:

33000 * 0.06 = 1980

Now if the sale doubles we would have 33000 x 2

= 66000 dollars

then the commission received would be

66000 x 0.06

= $3960

Hence we would say that the commission for the sale of $33000 worth of items at 6 percent is $1980 and if the sale doubles than the commission would be $3960

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Answer:

im only doing this bc im forced to

Answer:

19

Step-by-step explanation:

180-85 = 5y

5y = 95

y = 19

When the planes are at the same altitude after 48 seconds, they will be at an altitude of 4014 feet.

Let's assume that after t seconds, Plan A will be at an altitude of A and Plan B will be at an altitude of B. We want to find the value of t when A = B.

We can use the following equations to model the altitude of each plane after t seconds:

A = 2172 + 35.25t

B = 80.5t

We can set A equal to B and solve for t:

2172 + 35.25t = 80.5t

Subtracting 35.25t from both sides, we get:

2172 = 45.25t

Dividing both sides by 45.25, we get:

t = 48 seconds (rounded to the nearest second)

Therefore, the planes will be at the same altitude after 48 seconds.

To find the altitude they will be at, we can substitute t = 48 into either of the altitude equations. Let's use the equation for Plan A:

A = 2172 + 35.25t

A = 2172 + 35.25(48)

A = 4014 feet

Correct Question :

An air traffic controller is tracking two planes. To start, Plan A is at an altitude of 2172 feet and Plan B is just taking off. Plan A is gaining altitude at 35.25 feet per second and Plan B is gainnig altitude at 80.5 feet per second.

How many seconds will pass before the planes are at the same altitude?

What will their altitude be when they're at the same altitude?

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Answer: B and D

Step-by-step explanation:

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

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

y = 2/3 x - (-10)/3

y= 2/3x + 10/3

10/3 = 3  1/3

so the answers are B and D.