If x + 3 = 3x - 1 what is the value of x-1 ?
(hint: solve the first equation and Then substitute into the 2nd expression)

Answer:

C is greater

D is less

Step-by-step explanation:

Answer:

(1,0)

Step-by-step explanation:

3x + 6y = 3

7x + 3y = 7

Multiply the second equation by -2

-2( 7x + 3y = 7)

-14x -6y = -14

Add this to the first equation to eliminate y

3x + 6y = 3

-14x -6y = -14

--------------------

-11 x = -11

Divide by -11

x = 1

Now find y

3x + 6y = 3

3 +6y = 3

Subtract 3 from each side

6y = 0

y =0

Answer:

x = 1

y = 0

Step-by-step explanation:

3x + 6y = 3

7x  + 3y = 7

=> 3y = 7 - 7x

=> y = -7/3x + 7/3

3x + 6(-7/3x + 7/3) = 3

=> 3x - 14x + 14 = 3

=> -11x = -11

=> -x = -11/11

=> -x = -1

=> x = 1

So, 3(1) + 6y = 3

=> 3 + 6y = 3

=> 6y = 0

=> y = 0/6

=> y = 0

So, x = 1

      y = 0

Step-by-step explanation:

The equation for the height h of point P on the windmill blade after it has rotated by an angle a can be given by:

h(a) = r - r * cos(a + α)

where:

In this case, since point P is currently rotated π/4 radians from the point directly to the right of the center of the windmill, we can substitute α with π/4 in the equation:

h(a) = 1.5 - 1.5 * cos(a + π/4)

This equation gives the height of point P on the windmill blade above the ground after it has rotated by an angle of a, with the initial position of the blade being π/4 radians from the point directly to the right of the windmill center, assuming the windmill blade is 1.5 feet long.

Answer:

43

Step-by-step explanation:

4(2)-5(3)+10(5)

8-15+50

-7+50

43

hopes this helps please mark brainliest

Answer:

17/54,x=3 m=5

Step-by-step explanation:

Answer:

the other side is 8 cm and the perimeter is 22 cm

Step-by-step explanation:

one side is 3

another side has to be 8 because

(3)(8)= 24 cm^2

the perimeter is 8(2) + 3(2)= 16+6= 22 cm

Answer:

22cm

Step-by-step explanation:

Hope this helps!

The probability of not selecting a purple marble when choosing one marble from the bag is 60%.

To determine the probability of not selecting a purple marble when choosing one marble from the bag, we need to find the number of marbles that are not purple and divide it by the total number of marbles in the bag.

The number of marbles that are not purple is the sum of red, green, and yellow marbles. Therefore, the number of marbles that are not purple is 3 + 3 + 9 = 15.

The total number of marbles in the bag is the sum of all the marbles: 3 + 3 + 9 + 10 = 25.

So, the probability of not selecting a purple marble is 15/25 = 0.6, which is equivalent to 60%.

Therefore, the probability of not selecting a purple marble when choosing one marble from the bag is 60%.

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Answer:The answer will be 35ft

Step-by-step explanation:

One way that you can answer this is by using sin law. You will put the length of a side on top and the corresponding angle that faces towards that side at the bottom of a fraction. So for this one it will be 30/sin(70) = x/sin(90) The 90 comes from the bottom of the building with the ground. And the side the angle faces is the ladder. After that you put 30sin(90)/sin(70) to find x. And you get 34.655 which rounds to 35 ft.

To graph the solution, we draw a number line and plot a closed circle at -6 (since n is not equal to -6), and shade the area to the right of -6, since n is greater than -6.

How to do?

To solve the inequality:

-8n + 2 < 50

First, we need to isolate n on one side of the inequality. We can do this by subtracting 2 from both sides:

-8n < 48

Next, we need to get n by itself, so we divide both sides by -8. Remember, when we divide by a negative number, we need to flip the inequality sign:

n > -6

So the solution to the inequality is n > -6.

The open end indicates that the graph continues indefinitely to the right.

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Answer:

A rational number is any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero.

Step-by-step explanation:

In other words, a rational number can be expressed as p/q, where p and q are both integers and q ≠ 0.

An integer is a number that is not a fraction. So basically, a whole number.

Hope this helped!

Any integer that can be expressed in the form p/q, with q≠0, is referred to as a rational number in mathematics.

What are integers?

The Latin word "Integer," which means entire or intact, is where the word "integer" initially appeared. Zero, positive numbers, and negative numbers make up the specific class of numbers known as integers.

Any number that can be expressed as a fraction and has an integer denominator that is not zero and both the numerator and the numerator are integers is considered to be rational.

To put it another way, a rational number can be written as p/q, where p and q are both integers and q≠0.

Hence, rational number is any integer that can be expressed in the form p/q, with q≠0.

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Answer:

176

hope it helps :)

mark brainliest!!

Answer:3/2, 6

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Replace X with 4

(5*4)-(2*4) = 12

Answer:

x =4

Step-by-step explanation:

5x - 2x =12 (Subtract 5x - 2x and you'll get 3x)

3x = 12 (Now divide by 3 from both sides to get x)

x = 12/3 (Now that you got x, you want to simplify)

x = 4 (12 divided by 3 is 4)

The side length of a square with an area of 49 square centimeters is 7 centimeters.

Area is a measurement of the amount of space inside a 2-dimensional shape, such as a rectangle, square, triangle, circle, or any other polygon

The area of a square is calculated by multiplying its length by its width. For a square, however, its length and width are equal.

So, if we let "x" be the side length of the square, we can express the area as,

x^2 = 49

To solve for x, we can take the square root of both sides of the equation:

sqrt(x^2) = sqrt(49)

x = 7 centimeter

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The correlation coefficient "r" measures the strength and direction of a linear relationship, so if the relationship is nonlinear, the correlation coefficient may be misleading.

Correlation coefficient "r" is a measure used to summarize the association between two variables. It quantifies the strength and direction of a linear relationship between the variables. With "r" values ranging from -1 to +1, a value close to +1 indicates a strong positive linear relationship, while a value close to -1 indicates a strong negative linear relationship. A value close to zero suggests no linear relationship.

Using the correlation coefficient "r" is advantageous because it provides an objective measure of the relationship's strength and direction. It allows for quick and easy interpretation of the association between two variables, making it a useful tool in statistical analysis.

However, the correlation coefficient "r" is not appropriate for summarizing the association between variables in all cases. It is limited to measuring linear relationships only. If the relationship between the variables is nonlinear, the correlation coefficient "r" may be misleading. In such situations, other measures like Spearman's rank correlation coefficient or Kendall's tau-b, which can capture nonlinear relationships, should be considered.

Therefore, while the correlation coefficient "r" is valuable for summarizing the association between variables in linear relationships, it may not provide an accurate depiction if the relationship is nonlinear.

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Answer:

Step-by-step explanation:

Part A: Based on the given graph, we can observe that as the temperature of the city increases, the number of people at the swimming pool generally tends to increase as well. This suggests a positive correlation between temperature and the pool's population. In other words, when it gets hotter, more people are likely to visit the swimming pool. The relationship is not strictly linear, but it shows a general trend of increasing pool population with increasing temperature.

Part B: To determine the line of best fit, we can calculate the approximate slope and y-intercept using the given data points. Let's select two points from the data, such as (2.5, 1) and (12, 12):

Slope (m) = (change in y) / (change in x)

= (12 - 1) / (12 - 2.5)

= 11 / 9.5

≈ 1.16

To find the y-intercept (b), we can choose one of the points and substitute the values into the slope-intercept form (y = mx + b). Let's use the point (2.5, 1):

1 = 1.16 * 2.5 + b

1 = 2.9 + b

b ≈ -1.9

Therefore, the approximate slope of the line of best fit is 1.16, and the approximate y-intercept is -1.9.

Answer:

Step-by-step explanation:

Given:

Solving for x:

Answer:

128 on edg

Step-by-step explanation:

i thought it was 2 aswell double checked it on a graphing calculator its 128

Based on the comparisons, the probability of 0.18 represents an event that is less likely to happen than a probability of 0.22.

To determine which of the given probabilities represents an event that is less likely to happen than a probability of 0.22, we need to compare the probabilities and identify the one that is smaller.

Among the given options:

Probability of 0: A probability of 0 represents an impossible event, meaning it cannot happen. Therefore, a probability of 0.22 is definitely more likely to happen than a probability of 0.

Probability of 0.36: A probability of 0.36 represents a higher likelihood than 0.22. Therefore, a probability of 0.22 is less likely to happen than a probability of 0.36.

Probability of 0.2: A probability of 0.2 represents a higher likelihood than 0.22. Therefore, a probability of 0.22 is less likely to happen than a probability of 0.2.

Probability of 0.18: A probability of 0.18 represents a lower likelihood than 0.22. Therefore, a probability of 0.22 is more likely to happen than a probability of 0.18.

Based on the comparisons, the probability of 0.18 represents an event that is less likely to happen than a probability of 0.22.

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The verdict which is true about the radius of all three arcs when constructing an angle bisector is; - No; the second two arcs must have the same radius but it can be different from the first.

The correct answer option is option C.

Recall that an angle at point, O is formed by the intersection of two lines; say lines A and B.

Hence, in a bid to draw the Angie bisector of the angle; AOB, three arcs are needed.

The first arc is an arc drawn by placing the pivot of the compass at the point, O and drawing an arc which intersects lines A and B. The radius of this first arc in discuss can be any value.

Subsequently, the other two arcs are propagated using the points of intersection of the first arc with both lines such that the two arcs intersect.

It is however noteworthy to know that these two arcs must have the same radius.

Ultimately, the second two arcs must have the same radius but it can be different from the first.

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The maximum value of n (A ∩ B) occurs when A ⊂ B (i.e. when A is a subset of B), in which case A ∩ B = A, and so max{n (A ∩ B)} = n (A) = 11.

Answer:

y = 24

Step-by-step explanation:

We can dilate the other sides to figure out what the scale factor is. Once we know the scale factor we can find y.

Divide 12 by 4.

12 / 4 = 3

The scale factor is 3.

Now we must multiply 8 by 3.

8 * 3 = 24.

y = 24.

The equation of the line with a slope of 14 and y-intercept (0, 2) in standard form is -14x + y = 2.

We have,

The equation of a line in standard form is Ax + By = C, where A, B, and C are constants.

Given the slope m = 14 and the y-intercept (0, 2), we can substitute these values into the point-slope form of a linear equation.

Using the point-slope form, we have:

\(y - y_1 = m(x - x_1)\)

Substituting (0, 2) for \((x_1, y_1)\) and 14 for m, we get:

y - 2 = 14(x - 0)

y - 2 = 14x

Expanding the equation, we have:

y = 14x + 2

To write the equation in standard form, we move all the terms to one side:

-14x + y = 2

Therefore,

The equation of the line with a slope of 14 and y-intercept (0, 2) in standard form is -14x + y = 2.

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First, we need to find the coordinates of the points

U(-4, 4) V( -4, -5) W(5, -5) X(5, 4)

Next, we will find the distance, UV and VW

Using the distance formula

U(-4, 4) V( -4, -5)

x₁= -4 y₁=4

x₂=-4 y₂=-5

substitute the values into the formula

V( -4, -5) W(5, -5)

x₁= -4 y₁=-5

x₂=5 y₂=-5

substitute the values into the formula

Area = l x w = 9 x 9 = 81 units²

Perimeter = 9 + 9 + 9 + 9 = 36 units

Answer:

Step-by-step explanation:

Answer:

4 x 1/4

Step-by-step explanation:

The box is split into 4 representing the 1/4 and it goes to the 4 on the number line representing the.

Answer:

-7

Step-by-step explanation:

(7/8)(-16)(-7)(-1/4)

(7/8)(-1/4)(-16)(-7)

(-1/16)(112)

-7

Answer:

-7

Step-by-step explanation:

multiply all the numbers together and you get -7

A transition mutation is a point mutation that transforms one nucleotide from one type of purine to another (A to G) or from one type of pyrimidine to another (C to T). G and C are substituted for A and T, respectively, and G is a different purine and C is a different pyrimidine.

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The maximum profit per day is $600, and the soft-drink vendor must sell 1,500 cans to achieve this maximum profit.

The profit function for the soft-drink vendor is given by P(x) = -0.001x^2 + 3x - 1800. To find the maximum profit per day and the number of cans to sell for maximum profit, follow these steps:

1. Identify the quadratic function: In this case, it's P(x) = -0.001x^2 + 3x - 1800.

2. Find the vertex of the parabola, which represents the maximum profit point. The x-coordinate of the vertex can be found using the formula x = -b / 2a, where a and b are the coefficients of the quadratic function (a = -0.001, b = 3).

3. Calculate the x-coordinate of the vertex: x = -3 / (2 * -0.001) = -3 / -0.002 = 1500.

4. Substitute the x-coordinate back into the profit function to find the maximum profit: P(1500) = -0.001(1500)^2 + 3(1500) - 1800 = $600.

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Answer:

C.

Step-by-step explanation:

Simply multiply 50 by 3/8

Answer: The delta symbol (Δ) is commonly used in mathematics to represent a change or difference. The meaning of the delta symbol depends on the context in which it is used.

Change in a quantity: In this context, Δ is used to represent the change in a quantity between two values. For example, if we have a function f(x) and we want to find the change in its value between two points x1 and x2, we can use the expression:

Δf = f(x2) - f(x1)

This represents the difference in the function value between the two points.

Increment: In calculus, Δx is often used to represent a small increment in the variable x. This is used to calculate derivatives and integrals. For example, if we have a function y = f(x), then we can approximate the derivative of y with respect to x as:

dy/dx ≈ (f(x+Δx) - f(x)) / Δx

where Δx is a small increment in x.

Laplace operator: In vector calculus, Δ is used to represent the Laplace operator, which is a second-order partial differential operator. It is used to find solutions to partial differential equations.

Indicating a difference: In certain branches of mathematics, Δ can be used to represent a difference or a distance between two objects. For example, in graph theory, Δ(G) is used to represent the maximum degree of a vertex in a graph G.

The meaning of Δ in mathematics can vary depending on the context in which it is used. However, in general, it is used to represent a change or difference.

Step-by-step explanation: