determine whether the system of linear equations has one solution, infinitely many solutions, or no solutions. Explain your reasoning. y=4x+6, 2y=8x+12

Answer:

Rs 1425

Step-by-step explanation:

=(30×40) + (15×15)

=1425

Answer:

2,000 D)

Step-by-step explanation:

The functions P models the population of Greenleaf t years after 2000 is P(t) = -1.6t + 4034, the correct option is D.

We are given that;

Year 2000 2010  population 862 846

Now,

To find the linear function from two points, you can use the slope-intercept form of the equation, which is y = mx + b, where m is the slope and b is the y-intercept.

To find the slope, you can use the formula

\($m = \frac{y_2 - y_1}{x_2 - x_1}$\)

where \($(x_1, y_1) and (x_2, y_2)$\) are the given points.

To find the y-intercept, you can plug in one of the points and the slope into the equation and solve for b.

(2000, 862) and (2010, 846).

Using the formula for slope, we get:

\($m = \frac{846 - 862}{2010 - 2000} = \frac{-16}{10} = -1.6$\)

Using the point (2000, 862) and the slope -1.6, we get:

862 = -1.6(2000) + b

Solving for b, we get:

b = 862 + 1.6(2000) = 4034

Therefore, by the linear function answer will be P(t) = -1.6t + 4034.

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Answer:

Step-by-step explanation:

Slope m is defined as m=(y2-y1)/(x2-x1) in this case

m=(218-155)/(22-15)=63/7=9

y=mx+b

y=9x+b, using point (15,155) we can solve for the y intercept b

155=9(15)+b

155=135+b, b=20 so the line is

y=9x+20

In thirty days there will be

y=9(30)+20=290 coins

Answer:

D

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

To find the mean of 5 numbers, you add the 5 numbers and divide by 5.

Let the unknown number = x.

(27 + 42 + 43 + 35 + x)/5 = 36

(x + 147)/5 = 36

x + 147 = 180

x = 33

Answer: 33

Answer:

median is 215

mode is 225

mean is 212.8

Step-by-step explanation:

Im pretty sure

Answer:

13200n: 4 is 600

Step-by-step explanation:

Answer: x > 38

Step-by-step explanation:

Answer:

5 containers high

Step-by-step explanation:

Given that :

Given :

Width = 20 containers

Length = 50 containers

Total containers = 5000

Hence,

Total containers = width * length * height

5000 = 20 * 50 * height

5000 = 1000 * height

Height = 5000 / 1000

Height = 5 containers

If the combination r = 5% and Y = $100 billion is on the Fed rule line, and the combination r = 7% and Y = $100 billion is considered, it would represent a movement up the Fed rule.

The Fed rule represents the relationship between the interest rate (r) and the level of real GDP (Y). As the interest rate increases from 5% to 7% while keeping the level of real GDP constant at $100 billion, it indicates a movement along the Fed rule line in an upward direction.

This implies that as the interest rate increases, the recommended level of real GDP decreases, based on the Fed rule. Therefore, the combination r = 7% and Y = $100 billion represents a movement up the Fed rule.

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Steps to solve:

7x - 6 = 5x + 18

~Add 6 to both sides

7x = 5x + 24

~Subtract 5x to both sides

2x = 24

~Divide 2 to both sides

x = 12

Best of Luck!

Answer:b

Step-by-step explanation:

Answer:

$361.675 dollars

Step-by-step explanation:

Multiply by .85 then take new number multiply by 1.15

The sample space for genders from two births would include four possible outcomes: two boys, two girls, one boy and one girl (in either order).

 The sample space for the genders from two births includes all the possible outcomes of genders for two children. In this case, there are four possible combinations:

1. Male (M) - Male (M)
2. Male (M) - Female (F)
3. Female (F) - Male (M)
4. Female (F) - Female (F)

So, the sample space for the genders from two births is {MM, MF, FM, FF}.

In probability theory, the sample space is the set of all potential outcomes or results of an experiment or random trial. It is also referred to as the sample description space, possibility space, or outcome space. The potential ordered outcomes, or sample points, are listed as elements in a set that is used to represent a sample space. A sample space is frequently referred to as S,, or U (for "universal set"). A sample space may contain symbols, words, letters, or numbers as its components. They may also be uncountably infinite, countably infinite, or finite.

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Answer:

(4, 2) is a solution to the equation

Step-by-step explanation:

if y = 2 and x = 4 add fill them into the equation

3(4) + 4(2) = 20

12 + 8 = 20

20 = 20

this makes the equation true

So yes, (4, 2) is a solution to the equation.

The least squares regression line = y=8.5+0.3x

The correct option is D.

Regression analysis is a group of statistical techniques for calculating the correlations between a dependent variable and one or more independent variables.

sy = 10

sx = 4

we know that

b = r (sy/sx)

b = r (10/4)

b = 2.5 r

considering that r must fall within the range of -1 and +1

So,

b must be between -2.5 and 2.5 inclusive

This eliminates A

So, D is the only answer that fits.

d. y=8.5+0.3x

The grand mean (5, 10) must essentially be an ordered pair on the graph.

You can remove options B, C, and E by substituting this in each equation.

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I understand that the question you are looking for is:

Consider n pairs of numbers (x1,y1), (x2,y2),....., and (xn,yn). The mean and standard deviation of the x-values are x=5 and sx=4, Respectively. The mean and standard deviation of the y-values are y=10 and sy=10, respectively.

a. y=-5.0+3.0x

b. y=3.0x

c. y=5.0+2.5x

d. y=8.5+0.3x

e. y=10.0+0.4x

To show that the matrices ab and ba are similar, we need to find an invertible matrix P such that:

P(ab)P^-1 = ba

We can start by rearranging this equation:

P(ab) = baP

Then we can multiply both sides on the left by a^-1 and on the right by b^-1:

(a^-1Pab)(b^-1) = (a^-1ba)(Pb^-1)

Note that a^-1Pab = P', where P' is an invertible matrix because a and b are invertible. Similarly, a^-1ba = b^-1ab = (b^-1a)b, which is also invertible because a and b are invertible.

Substituting P' and (b^-1a)b into the previous equation, we get:

P'(b^-1) = (b^-1a)b(Pb^-1)

Multiplying both sides on the right by a, we get:

P'(b^-1)a = b(Pb^-1)a

Note that b(Pb^-1)a = (ba)(b^-1a)^-1, which is invertible because a and b are invertible. Therefore, we can multiply both sides on the left by (b^-1a)^-1 to get:

(b^-1a)P'(b^-1a)^-1 = ba

This shows that ab and ba are similar, with P = (b^-1a)P'(b^-1a)^-1 being an invertible matrix that relates the two matrices.

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the answer to this question is -10.

Answer:

d=4g^2/5-4h+4ge/5

Step-by-step explanation:

Thank You Come Again

The point-slope form of the line is y - (3/4) = 5(x - (3/4)).

The point-slope form of a line is written as y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line. To find the point-slope form of a line that has a slope of 5 and passes through the point (3/4, 3/4), we can plug in the values for the slope and the point into the point-slope formula. This gives us y - (3/4) = 5(x - (3/4)). This is the point-slope form of the line.

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Answer:

Step-by-step explanation:

To solve an algebraic expression in simplest form, you can follow these steps:

1. Use the order of operations (PEMDAS) to simplify any arithmetic in the expression (parentheses, exponents, multiplication and division, addition and subtraction).

2. Combine like terms by adding or subtracting any coefficients in front of similar variables.

3. Divide or multiply both sides of the equation by the same non-zero number to solve for the variable.

4. If possible, factor the expression to make it simpler.

5. If the expression is a fraction, check for a common denominator and then simplify by canceling any common factors in the numerator and denominator.

6. If the expression is a radical, check for a perfect square and simplify by taking the square root of the number inside the radical.

7. Use the properties of exponents and logarithms to simplify the expression.

8. Evaluate the expression by plugging in the values of any known variables.

It's important to keep in mind that there may be multiple ways to simplify an algebraic expression and the solution that is in simplest form may not always be obvious.

Answer: C

Step-by-step explanation: it is stretched out more.

Answer:

C

Step-by-step explanation:

C Is An Oval Not A Circle, Therefore it is different

Answer:

  yes

Step-by-step explanation:

You want a graph of P = 125 +50W.

The given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.

Usually, the independent variable is graphed on the horizontal axis, which you have done.

The dependent variable is graphed on the vertical axis, which you have done.

The axes are correctly labeled and graduated.

The "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.

The slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.

Yes, you properly graphed the equation.

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Answer: 3/2

Step-by-step explanation:

The missing step in the given solution to the inequality −x − 3 < 13 + 3x is: −4x < 16.

To solve the inequality, we'll perform the necessary steps to isolate the variable x. Let's go through each step:

−x − 3 < 13 + 3x (original inequality)

−4x − 3 < 13 (combine like terms by subtracting 3x from both sides)

−4x < 16 (add 3 to both sides)

At this point, we have −4x < 16 as the inequality, which represents the missing step in the given solution. This step is crucial because it simplifies the inequality further, allowing us to continue solving for x.

To complete the solution, we would divide both sides of the inequality by −4, remembering to reverse the inequality sign because we're dividing by a negative number. However, the missing step provided doesn't show this final division step.

Therefore, the correct missing step is: −4x < 16.

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The function of the graph increases at x > 2

inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

The graph starts from point  (-3, 1) and remained at 1 while x changed from -3 to 2. above point 2 which is x > 2 y is seen to first change to 2 when x got to 3.

So the function increases when x > 2.

In conclusion the function increases when x > 2

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Answer:

38

Step-by-step explan

bc ik

Because the image to the right (attached) comprises of lines intersecting one another proportionally, hence, the value of y = 19. See the computation below.

We are given AD = 17

AC = 3y - 23

AD = DC (Given in the diagram)

AC = AD + DC

AC = AD + AD

AC = 2AD

3y - 23 = 2 x 17

3y = 34 + 23

y = 57/3

y = 19

AC = 3 (19) - 23

AC = 57 - 23

AC = 34

Therefore,

y = 19

AC = 34; and

DC = AC - AD

DC = 34 - 17

DC =17

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