Aisha runs a tutoring business. With Plan 1, students may choose to pay $22 per hour. With Plan 2, they
may follow the plan shown on the graph.
Describe the plan show on the graph students pay an initial fee of $_____ plus $______ per hour.

Answer: Fraction Form -9/8 or A. -1 1/8

By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.

To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.

First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.

We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.

1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:

  0 = x^2 + 2x - 3.

  This quadratic equation can be factored as (x + 3)(x - 1) = 0.

  Therefore, x = -3 or x = 1.

2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.

3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).

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Answer:

\(x = 3, -1\)

Explanation:

math

The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.

To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.

Given:

Radius rate of change: dr/dt = 3 mm/min

Height: h = 20 mm

Radius: r = 10 mm

Volume of the cylinder (V) = \(r^2h\)

Differentiating with respect to time (t), we have:

dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)

Since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dV/dt = 2(10)(20)(3) + (10^2)(0)

dV/dt = 600 + 0

dV/dt = 600 mm^3/min

Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.

Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)

Differentiating with respect to time (t), we have:

dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)

Again, since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)

dSA/dt = 0 + 120π + 120π

dSA/dt = 240π mm^2/min

Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.

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The correct statement regarding when the events will be independent is given as follows:

B. The probability of getting a red convertible is 0.06.

Two events, A and B are independent, if:

\(P(A \cap B) = P(A)P(B)\)

In this problem, the probabilities are given as follows:

The events will be independent if:

\(P(A \cap B) = 0.2 \times 0.3 = 0.06\)

The intersection of events A and B is a red convertible car, hence the correct option is:

B. The probability of getting a red convertible is 0.06.

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well, the profit is clearly just 490 - 350 = 140.

Now, if we take 350(origin amount) to be the 100%, what is 140 off of it in percentage?

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 350 & 100\\ 140& x \end{array} \implies \cfrac{350}{140}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{5}{2} ~~=~~ \cfrac{100}{x}\implies 5x=200\implies x=\cfrac{200}{5}\implies x=40\)

When a person does not have enough time he must should take the faster and effective route in this case carlos does not have time for individual interviews or phone calls. Focus group will not work i guess because discussion takes time so i guess it should be survey. I am not sure but it should be Survey or Focus Group

Must click thanks and mark brainliest

Hello!

4^16

note that 16 = 4²

thus (16)^8 = (4²)^8 = 4^(2 × 8) = 4^16.

Answer:

$38.90

Step-by-step explanation:

$2.00 per mile x 18 miles is 36.00 then add the 2.90

Answer:

Step-by-step explanation:

22. never

23. always

24. sometimes

Answer:

✏️ ANSWER✏️

Step-by-step explanation:

Given:

The table contains the years as 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020.

The sales values are 287, 332, 367, 392, 407, 412, 407, 392, 367.

The objective is to find the average rate of change of annual sales between 2012 and 2013.

Consider the intervals as a = 2012 and b= 2013.

Then, the value of f(a) = 287 and f(b) = 332.

To find the average rate of change, the formula is,

Let's substitute the given values in the above formula.

Hence, the average rate of change of sales over the interval 2012 and 2013 is 45 millions of dollar per year.

Answer:

B. The function y = 4x is growing faster than y = 4x.

Step-by-step explanation:

is the answer.

Answer:

37in.^2

Step-by-step explanation:

So if the triangles at the top have a hypotenuse of 5, and a length of 4, then doing reverse Pythagorean theorem, you find out that the width is 3.\(a^{2} +b^{2} =c^{2}\). so reverse of that for this problem would be \(c^{2} -b^{2} =a^{2}\) and if we plug it in, we get 25 -16=9 and the square root of 9 is 3. so if we find the are of the triangle, 3*4*1/2=6 and there are 2 triangles so 12 for both triangles. The square is 5*4=20. and the smaller triangles on the side are 1*5*1/2=2.5, and there are 2 traingles so 2.5*2= 5. So 5+20+12=37. You can do this on most calculators, and please put my answer as the brainliest.✌

Answer:

The required answer is 0.0075 ml .

Step-by-step explanation:

Given that , It takes 200 L of maple sap to make 5 L of maple syrup. And we need to find how much sap it requires to make 300 ml of syrup . Hence on using Unitary method ,

⇒ 200 L of maple sap is used to make 5L of syrup .

⇒ 1L of maple sap is used to make 5L/200 L of syrup .

⇒ 1000 ml of maple sap is used to make 5L/200 L of syrup .

⇒1ml of maple sap is used to make 5L/( 200 * 1000) L of syrup .

⇒300ml of maple sap is used to make 5L * 300/200 L * 1000 of syrup .= 0.0075 ml .

Answer:

A is the answear. so jst pick A

Answers:

\(B(-2, 2) \to\\B \ ' \ (-3, 3)\\\\C(3,3) \to\\C \ ' \ (4.5, 4.5)\\\\D(3,0) \to\\D \ ' \ (4.5,0)\\\\A(-1,-2) \to\\A \ ' \ (-1.5, -3)\\\\\)

See the diagram below

======================================================

Explanation:

If you dilate by a scale factor of k, and do so about the origin, then you use the rule \((x,y) \to (kx,ky)\). We multiply the scale factor k by each coordinate.

We have the following given points:

Multiply each coordinate, of each point, by 1.5 to get the corresponding image point.

For example, point B will have these steps

The old point B(-2,2) moves to B'(-3,3). The same applies for the other three remaining points.

Answer:

NO TE ENTIENDO TRADUCELO AL ESPAÑOL

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

20.99+ 10.29n s 100

Step-by-step explanation:

Well your variable is the number of pants she wants to buy, so on top of the shirt she bought it would  20.99 + 10.29n, but you wouldn't put 100$ at the end of the sentence because for all you know she could have gone past 100 dollars. Hope this helps! Also, if we are counting this from 100 it is better to just subtract 20.99 from 100 and divide by 10.29.

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

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

x + y > 3

x - 3y < 2

Next, we plot the graph of the system of the inequalities

See attachment for the graph

From the graph, we have solution to the system to be the shaded region

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

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Answer:

412

Step-by-step explanation:

14,832 divided by 36 = 412

Answer:

412

Step-by-step explanation:

412

The value of m + n is given as follows:

A. 18.

The exponential expression for this problem is defined as follows:

\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)

Applying the power of power rule, we have that the exponents are given as follows:

Then the values of m and n are given as follows:

m = 7, n = 11.

Thus the sum is given as follows:

m + n = 7 + 11 = 18.

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The value of y can be any even integer. The possible values of y are: -2, -4, -6, -8, and 0, 2, 4, 6, 8.

In mathematics, an even function is a function that satisfies the property f(x) = f(-x) for all x in the domain of the function. This means that the value of the function at x is equal to its value at -x. An example of an even function is f(x) = \(x^{2}\), which satisfies f(x) = f(-x) for all x.

An odd function is a function that satisfies the property f(x) = -f(-x) for all x in the domain of the function. This means that the value of the function at x is equal to the negative of its value at -x. An example of an odd function is f(x) = x, which satisfies f(x) = -f(-x) for all x.

If y + 5 is an even integer, then y + 5 must be divisible by 2. This means that y must be divisible by 2 and equal to 2 times an integer. Therefore, the value of y can be any even integer. The possible values of y are: -2, -4, -6, -8, and 0, 2, 4, 6, 8.

Note that if y is negative, then y + 5 will be negative and still be an even integer. If y is 0, then y + 5 will be 5, which is an odd integer, and cannot be the value of y.

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Answer:

subtract 1.25

Step-by-step explanation:

You can look at this and figure out that each time they are subtracting 1.25.

There is a probability of 94/315 that the problem will be solved.

We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.

The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.

The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.

The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.

The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.

To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:

2/7 + 4/7 + 4/9 = 94/315

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The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

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

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

nose de ecuaciones sorry :c

Step-by-step explanation:

1. The scale factor here in the dilation is 4/3.

2. Yes, dilation occurred on the coordinate plane below. The scale factor for the dilation is -4/3.

During the process of dilatation, an object must be reduced in size or changed. It is a transformation that uses the given scale factor to shrink or expand the objects. The image is the new figure that forms as a result of dilatation, whereas the pre-image is the original figure. There are two kinds of dilation:

A rise in an object's size is referred to as expansion.

Contraction is the term used for a reduction in size.

Here in the question,

The coordinates of the point B change from (-3,6) to (-4,8).

The scale factor here is -4/-3=4 or 8/6=4/3.

Now, when the dilation happens below the plane, the coordinates will be (x,-y)

So, the dilation factor will be -4/3.

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The x-intercepts are the points on the plot of a function f(x) where the graph crosses the x-axis. In other words, they're the values of x that make f(x) = 0.

In this case, the x-intercepts are the two roots of the parabola,

(x - 4) (x - 5) = 0 … … … (this is what the hint is referring to)

==>   x - 4 = 0   or   x - 5 = 0

==>   x = 4   or   x = 5

The intercepts themselves are points (x, f(x)), so you can report them as (4, 0) and (5, 0).

Answer:

Since the figures are similar, their corresponding side lengths are proportional.

Let x be the scale factor between the larger and smaller figures. Then, the volume of the larger figure is x^3 times the volume of the smaller figure.

We can set up an equation to solve for x:

2500 = x^3 * 160

Divide both sides by 160:

x^3 = 2500/160

x^3 = 15.625

Take the cube root of both sides:

x = 2.5

So, the scale factor between the larger and smaller figures is 2.5.

Since surface area is proportional to the square of the scale factor, we can set up another equation to solve for the surface area of the smaller figure:

S.A. of smaller figure / S.A. of larger figure = (scale factor of smaller figure)^2 / (scale factor of larger figure)^2

Solving for the surface area of the smaller figure:

S.A. of smaller figure / 1400 = 2.5^2 / 1^2

S.A. of smaller figure / 1400 = 6.25

S.A. of smaller figure = 6.25 * 1400

S.A. of smaller figure = 8750

Therefore, the surface area of the smaller figure is 8750 meters squared.

Step-by-step explanation: