Find x and m 2 ZXY.

(2x + 10)

(3x – 18)

The given system of equations to have a Unique solution, the value of k must be any real number except 1 (k ≠ 1).

The value of k for which the given system of equations has a unique solution, we can use the concept of determinants. The system of equations is as follows:

kx + 2y = 3   -- (1)

3x + 6y = 10  -- (2)

To have a unique solution, the determinant of the coefficients of x and y must not be zero.

The determinant of the coefficient matrix for the system is:

D = | k   2 |

       | 3   6 |

By calculating the determinant, we have:

D = (k * 6) - (2 * 3)

D = 6k - 6

For the system to have a unique solution, the determinant D must not equal zero.

6k - 6 ≠ 0

Simplifying the inequality:

6k ≠ 6

Dividing both sides by 6:

k ≠ 1

Therefore, for the given system of equations to have a unique solution, the value of k must be any real number except 1 (k ≠ 1).

In other words, if k is not equal to 1, the system of equations will have a unique solution. If k is equal to 1, the system will either have infinitely many solutions or no solution.

For more questions on Unique solution

https://brainly.com/question/30918688

#SPJ8

Answer: FOIL method

1. (a + b)(a + b) =

= a² + ab + b² + ab

= a² + 2ab + b²

2. (3a-2b) (3a - 2b) =

= 9a² - 6ab - 6ab + 4b²

= 9a² -12ab + 4b²

3. (x - 4y)(-3x - 2y) =

= -3x² -2xy +12xy +8y²

= -3x² + 10xy + 8y²

4.(-y-2z)(y-2z) =

= -y² + 2yz -2yz + 4z²

= -y² + 4z²

Step-by-step explanation:

Answer:

Domain- {IR} all real numbers or {infinity,infinity}

Range-{0,infinity}

Step-by-step explanation:

plug into calculator

Answer:

Yes, the ladder will be safe. 64° 9´ < 75°

Step-by-step explanation:

\( \sin(x) = \frac{13.5}{15} \\ \: \: \: \: \: \: \: \: \: \: \: = 0.9 \\ \: \: \: \: \: \: \: \: \: \: \: \: x=64 \: \: \: \: 9\)

The height of the ladder will be safe because the angle is less than 75°.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Jocelyn has a ladder that is 15 feet long.

She wants to lean the ladder against a vertical wall so that the top of the ladder is 13.5 feet above the ground.

The length of hypotenuse is 15 feet and length of perpendicular is 13.5 feet.

For safety reasons, she wants the angle the ladder makes with the ground to be less than 75°.

Then the angle θ will be given as,

sin θ = 13.5 / 15

sin θ = 0.90

      θ = sin⁻¹ (0.90)

      θ = 64.16°

The height of the ladder will be safe because the angle is less than 75°.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2

It is 135/13 l of the first chemical and 450/13 l of the second one.

Answer:

See below ~

Step-by-step explanation:

Let :

Two inequalities created are :

Solving

Let the people paying $15 be "x" and $25 be "y"

1st inequality

15(x) + 25(x) ⩾ $1500

2nd inequality

x + y ≤ 100

Answer:

2.333

Step-by-step explanation:

Given that:

Conceded goals: 0,1,2,3,4

Frequency:2,8,4,10,6

Mean(m) = Σ(fx) / Σf

Σfx = (0*2) + (1*8) + (2*4) + (3*10) + (4*6) = 70

Σf = (2 + 8 + 4 + 10 + 6) = 30

Hence,

Mean = 70 / 30

Mean = 2.333

The component form of vector v with initial point (-6,2) and terminal point (7,-3) is (13,-5).

The component form of a vector is represented as x, y >, where x denotes the direction of travel (right or left) and y denotes the direction of travel (up or down) of the vector. Any two-dimensional vector may be conceived of as exerting influence in two separate directions. In other words, it can be considered to have two pieces. Components are the individual pieces that make up a two-dimensional vector. A vector's elements show how that vector will act in a specific direction.

Here,

initial point A=(-6,2)

terminal point B=(7,-3).

AB=(Bx-Ax, By-Ay)

=(7-(-6), -3-2)

= (13, -5)

The component form of the vector v with the starting points (-6, 2) and terminal points (7, -3) is (13,-5).

To know more about component form,

https://brainly.com/question/25138765?referrer=searchResults

#SPJ1

a. Colin's mean score is 13.4. b. Colin's new mean score is 12.9.

a) To calculate the mean score of Colin in the last 10 runs in cricket, we need to add up all the scores and divide by the total number of scores:

Mean = (18 + 12 + 6 + 1 + 21 + 10 + 21 + 18 + 20 + 7) / 10 = 13.4

Therefore, Colin's mean score is 13.4.

b) To calculate Colin's new mean score after scoring 9 runs on Sunday, we need to add the new score to the total runs and divide by the new total number of scores:

New mean = (18 + 12 + 6 + 1 + 21 + 10 + 21 + 18 + 20 + 7 + 9) / 11 = 12.9

Therefore, Colin's new mean score is 12.9.

Learn more about mean score here

https://brainly.com/question/29432998

#SPJ11

Answer:

500 students

Step-by-step explanation:

Change the percent to a fraction in its simplest terms

Then solve 2/3×1250

Answer:

500 students ride the bus

Step-by-step explanation:

Easy:

If the total number of students is 1250 and you know 40% ride the bus all you have to do is figure out 40% of 1250. Once you get that you will get 500 people. You can use a calculator for this problem.

x/1250 = 40/100

x = number of students riding bus

Solve for x

100x = 1250*4 - after you cross mulitply

solve for x

x = 500

Answer:

x^6 + 5x^3 + x^3

Step-by-step explanation:

Also, if you've ever read Romeo and Juliet, please help me in my questions tab! I only need a general answer, and give brainliest.

Answer:

x^5  + 5x^4 + x^3

Step-by-step explanation:

x^3 ( x^2 +5x+1)

Distribute

x^3 * x^2 +x^3 *5x+x^3*1

x^5  + 5x^4 + x^3

Answer:

12.5 in²

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

\(23.8 \div 3.4 = 7\)

If Tamika adds two separate numbers at random from the collection, the likelihood that her result will be higher than Carlos' result is 4/9. To multiply two random integers from the set, Carlos chooses two more random numbers.

This event has a chance of happening or not happening.

calculation

Tamika might receive any of the following results, all of which are equally likely:

8+9=17 

8+10=18

9+10=19

The various potential values that Carlos could receive—all equally likely—are:

3 * 5=15

3 * 6=18

5 * 6=30

Because 17 is only greater than 15, the likelihood that Tamika's total would be greater than Carlos's set is 1/3.

Because 18 is only greater than 15, the likelihood that Tamika's total would be greater than Carlos's set is 1/3.

Due to the fact that 19 is greater than both 15 and 18, the likelihood that Tamika's total would be greater than Carlos's set is 2/3.

We have 1/3(1/3+1/3+2/3)=1/3(4/3)=4/9 since each sum has a 1/3 chance of being chosen.

the likelihood of the difference between Tamika's performance and Carlos' performance is 4/9.

To know more about probability visit :-

https://brainly.com/question/30034780

#SPJ4

Answer:

The y value of Function A when x = -4 is greater than the y value of Function B when x = -4.

Step-by-step explanation:

A.) y = 2(-4) + 5 = -8 + 5 = -3

B.) y = 2(-4) + 2 = -8 + 2 = -6

-3 is greater than - 6.

Answer:

 ( -5•2x8y)

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "^-1" was replaced by "^(-1)".

Equation at the end of step 1

 ((5•(x3))•(y2))•(0-(2x5•y(-1)))

Equation at the end of step

 (5x3 • y2) •  -2x5y(-1)

Multiplying exponential expressions :

3.1    x3 multiplied by x5 = x(3 + 5) = x8

Multiplying exponential expressions :

3.2    y2 multiplied by y(-1) = y(2 + (-1)) = y1 = y

Answer:

 60xy

Step-by-step explanation:

Evaluate :  (5x+3y)2   =    25x2+30xy+9y2

Evaluate :  (5x-3y)2   =    25x2-30xy+9y2

Factors such as an increase in disposable income, a decrease in taxes, an increase in consumer confidence, and an increase in wealth can lead to an upward shift in the consumption function.

An increase in disposable income, a decrease in taxes, a decrease in interest rates, or an increase in consumer confidence would lead to an upward shift in the consumption function. These factors would increase consumer spending and shift the consumption function upwards.

To predict an upward shift in the consumption function, consider the following factors:

An increase in disposable income: When people have more disposable income, they are more likely to spend money, leading to an upward shift in the consumption function.

A decrease in taxes: Lower taxes mean more disposable income for consumers, resulting in higher consumption.

An increase in consumer confidence: When consumers feel confident about their economic future, they are more likely to spend money, causing the consumption function to shift upward.

An increase in wealth: When consumers' wealth increases, they are more likely to spend, leading to an upward shift in the consumption function.

In summary, factors such as an increase in disposable income, a decrease in taxes, an increase in consumer confidence, and an increase in wealth can lead to an upward shift in the consumption function.

Learn more about consumption function

brainly.com/question/31663793

#SPJ11

Answer:

2,075 = 5 × 5 × 83

√2,075 = 5√83 = about 45.55

The probability of exactly one successes in five trials  is 0.20

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

The probability is calculated as

P(x) = nCx * p^x * (1 - p)^(n -x)

Where

n = 5

p = 5%

x = 1

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

P(1) = 5C1 * (5%)^1 * (1 - 5%)^(5 -1)

Evaluate

P(1) = 0.20

HEnce, the probability value is 0.20

Read more about probability at

https://brainly.com/question/24756209

#SPJ1

The critical value of a that separates solutions that become negative from those that are always positive for t > 0 is a = 3/5.

For this equation to hold for all t > 0, the exponential term e^(rt) cannot be zero. Therefore, the quadratic equation in parentheses must be zero:

9r² + 12r + 4 = 0

To solve this quadratic equation, we can apply the quadratic formula:

r = (-b ± √(b² - 4ac)) / (2a)

In our case, a = 9, b = 12, and c = 4. Substituting these values into the quadratic formula, we have:

r = (-12 ± √(12² - 494)) / (2*9)

= (-12 ± √(144 - 144)) / 18

= (-12 ± √0) / 18

Since the discriminant (b² - 4ac) is zero, both roots are equal:

r = -12 / 18

= -2 / 3

Thus, the general solution of the differential equation is:

y(t) = C1\(e^{-2t/3}\) + C2t\(e^{-2t/3}\)

Now, let's apply the initial conditions to determine the values of C1 and C2. We have:

y(0) = C1e⁰ + C2(0)e⁰ = C1 = a

y′(0) = -2C1/3 + C2 = -1

Substituting C1 = a into the second equation, we get:

-2a/3 + C2 = -1

C2 = -1 + 2a/3

Therefore, the particular solution of the initial value problem is:

y(t) = a\(e^{-2t/3}\) + (-1 + 2a/3)t\(e^{-2t/3}\)

To determine the critical value of a that separates solutions that become negative from those that are always positive for t > 0, we need to analyze the behavior of the solution.

Let's consider the case when t = 1. Plugging t = 1 into the solution, we have:

y(1) = a\(e^{-2/3}\) + (-1 + 2a/3)\(e^{-2/3}\)

To determine the critical value of a, we need to find when y(1) becomes zero. Thus, we set y(1) = 0:

a\(e^{-2/3}\)  + (-1 + 2a/3)\(e^{-2/3}\)  = 0

Factoring out e^(-2/3), we get:

\(e^{-2/3}\) (a - 1 + 2a/3) = 0

Again, since the exponential term \(e^{-2/3}\)  cannot be zero, the expression in parentheses must be zero:

a - 1 + 2a/3 = 0

To solve for a, we can simplify the equation:

3a - 3 + 2a = 0

5a - 3 = 0

5a = 3

a = 3/5

Hence, the critical value of a that separates solutions that become negative from those that are always positive for t > 0 is a = 3/5.

To know more about initial value problem here

https://brainly.com/question/30466257

#SPJ4

Answer:

y = 120

Step-by-step explanation:

Interior angles of a triangle add up to 180°

So,

x+87+33 = 180

x + 120 = 180

Subtracting 120 to both sides

x = 180-120

x = 60°

Now

Angles on a straight line also add up to 180°

So,

x+y = 180

60 + y = 180

Subtracting 60 to both sides , we get

y = 180-60

y = 120

The maximum capacity of a container that can measure the kerosene oil of both tankers when used an exact number of times is 200 litres.

Volume is a physical quantity that refers to the amount of space occupied by a three-dimensional object or substance. It is typically measured in cubic units such as cubic meters, cubic centimeters, or cubic feet.

Volume is calculated by multiplying the three dimensions of an object - length, width, and height - together. For example, the volume of a rectangular box can be calculated by multiplying its length, width, and height:

Volume = length x width x height

In the given question,

The maximum capacity of a container that can measure the kerosene oil of both the tankers when used an exact number of times is equal to the greatest common divisor (GCD) of the two volumes of kerosene oil.

To find the GCD of 800 and 600, we can use the Euclidean algorithm:

GCD(800, 600) = GCD(600, 200) (subtract 1 x 600 from 800)

GCD(600, 200) = GCD(200, 0) (subtract 3 x 200 from 600)

GCD(200, 0) = 200

Therefore, the maximum capacity of a container that can measure the kerosene oil of both tankers when used an exact number of times is 200 litres.

To know more about Volume, visit:

https://brainly.com/question/28058531

#SPJ1

Answer:

x = -17

Step-by-step explanation:

7(2x + 3) = 12x - 13

Distribute

7*2x +7*3 = 12x-13

14x +21 = 12x-13

Subtract 12x from each side

14x-12x+21 = 12x-12x-13

2x+21 = -13

Subtract 21 from each side

2x+21-21 = -13-21

2x = -34

Divide by 2

2x/2 = -34/2

x = -17

So

Check option D

Total

Option D is correct

The base radius, r, and height H of the cylinder indicates that the equation that represents the volume of each of the two inscribed cones of the cylinder is \(V = \dfrac{\pi \cdot r^2\cdot H}{6}\)

The volume of a cone is the product of pi, the square of the base radius of the cone, the height of the cone divided by 3.

Mathematically, the formula for the volume of a cone, V, is presented as follows;

\(V = \dfrac{\pi \cdot r^2\cdot h}{3}\)

The base radius of each cone are the same (cones inscribed in the same cylinder)

Whereby the height of each cone is h, we get;

h + h = H

2·h = H

h = H/2

The volume of each cone is therefore;

\(V = \dfrac{\pi \cdot r^2\times \frac{H}{2} }{3} = \dfrac{\pi \cdot r^2}{3} \times \dfrac{H}{2} = \dfrac{\pi \cdot r^2\cdot H}{6}\)

The equation that represents the volume of each cone is therefore;

Learn more about the volume of regular solids here:

https://brainly.com/question/15316195

#SPJ1

Answer:

Answer is A btw hope it helped

Step-by-step explanation:

Answer:

its u=(-2,1)

Step-by-step explanation:

Answer:

Question 2: 6x-21

Question 1: -9x+3

Step-by-step explanation:

75 is the biggest number with which 525 and 3000 can be divided, making it the greatest common factor.

Finding all common factors between two integers and choosing the biggest one yields the highest common factor (HCF). It is the most powerful divisor for any pair of integers that can divide the inputted numbers evenly or fully. The largest of all the common factors between two or more integers is known as the Highest Common Factor (HCF). A number that divides two or more integers precisely is referred to as a common factor. Factors are numerical combinations that we may multiply to produce another number. These are the "common factors" when we determine the factors of two or more integers and discover some of those factors are the same (or "common").

To know more about highest common factor,

https://brainly.com/question/734948

#SPJ4

The regular pentagon's perimeter is therefore sqrt(101) units when its adjacent edges are at A(-3, 5) and B(7, 6).

The perimeter of a two-dimensional object is the space surrounding it. It represents the total length of the shape's edges. Typically, the perimeter is calculated using measures like centimetres, metres, or feet.

given

We can use the calculation for the distance between the two provided vertices to determine the length of one side:

sqrt[(7 - (-3))2 Plus (6 - 5)2] yields AB. = sqrt[10^2 + 1^2] = sqrt(101) (101)

Since the five sides of a normal pentagon are all the same length, one side's length is:

sqrt(101) / 5

s = AB / 5

Now, utilising the method for the regular pentagon's perimeter, we have:

Circumference = 5s = 5 sqrt(101) / 5 = sqrt (101)

The regular pentagon's perimeter is therefore sqrt(101) units when its adjacent edges are at A(-3, 5) and B(7, 6).

To know more about perimeter visit:

https://brainly.com/question/6465134

#SPJ1