Use the graph below for this question:


graph of parabola going through 0, 3 and 2, negative 5.


What is the average rate of change from x = 0 to x = 2?

− 4
− 8
1
5
Can you please help me?

Answer : The number of text messages that will result in the exact same charge from both companies is, 500

Step-by-step explanation :

Let the number of text messages be, 'x'

Cell phone company A charges $20 per month plus $0.05 per text message. Thus, the equation will be:

[tex]20+0.05x=0[/tex]     ............(1)

Cell phone company B charges $10 per month plus $0.07 per text message. Thus, the equation will be:

[tex]10+0.07x=0[/tex]        ............(2)

Now equating equation 1 and 2, we get:

[tex]20+0.05x=10+0.07x[/tex]

[tex]20-10=0.07x-0.05x[/tex]

[tex]10=0.02x[/tex]

[tex]x=\frac{10}{0.02}[/tex]

[tex]x=500[/tex]

Thus, the number of text messages that will result in the exact same charge from both companies is, 500

Answer:

1 gal

Step-by-step explanation:

I had the same thing. Please mark as Brainiest Answer.

Answer:

Both posters ARE accurate representations of the painting

Step-by-step explanation:

Gradpoint

The zeros of the function y = 9x³ - 9x are x = 0, x = 1, and x = -1. There are no multiple zeros for this function.

The question seeks to identify the zeros of the function y = 9x^3 - 9x. To find the zeros, we set the function equal to zero and solve for x.

The zeros of the function are x = 0, x = 1, and x = -1.

Therefore, as per the above explaination, the correct answer is  x = 0, x = 1, and x = -1.

The  larger down payment beneficial to a home investor is because of option C.

The following information should be considered:

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Answer:

9,878,813

Step-by-step explanation:

First, make 0.6% into a decimal

0.6 / 100 = 0.006  

Then, multiply the number of people living in Michigan in 2000 by the number of people decreased (the percentage decrease) in 2010

9,938,444 x 0.006 = 59630.664

Last, subtract the percentage decrease by the original population in 2000

9,938,444 – 59630.664 = 9,878,813

In 2010 the approximate population in Michigan was about 9,878,813 (to the nearest whole person)

To find the area of the region defined by the function y = 6 sin(x) + sin(6x) from x = 0 to x = pi, we need to calculate the definite integral of the function over this interval. Using a graphing utility, we can plot the function and verify the result.

To find the area of the region defined by the function y = 6 sin(x) + sin(6x) from x = 0 to x = pi, we need to calculate the definite integral of the function over this interval.

Using a graphing utility, we can plot the function and verify the result. The integral will give us the area under the curve.

A graphing utility like Desmos or Wolfram Alpha can be used to plot the function and find the area under the curve.

The length of the pantry is 3 feet.

To find the length of the pantry, we need to determine its area first. According to the question, the kitchen is 9 times the size of the pantry. With the kitchen's area being 81 square feet, the pantry's area would be 81 square feet divided by 9, which equals 9 square feet. Since we are given that the width of the pantry is 3 feet, we divide the total area of the pantry by its width to find the length.

The calculation is as follows:

Area of kitchen: 81 sq ft

Area of pantry: 81 sq ft / 9 = 9 sq ft

Width of pantry: 3 ft

Length of pantry: Area of pantry / Width of pantry = 9 sq ft / 3 ft = 3 feet long.

To show that the point (7/25, 24/25) is on the unit circle, we need to demonstrate that its distance from the origin is equal to 1.

To show that the point (7/25, 24/25) is on the unit circle, we need to demonstrate that its distance from the origin is equal to 1.

The distance between two points, (x1, y1) and (x2, y2), is given by the formula: √((x2-x1)² + (y2-y1)²).

In this case, the distance between the point (7/25, 24/25) and the origin (0, 0) can be calculated as: √((7/25-0)² + (24/25-0)²) = √((49/625) + (576/625)) = √(625/625) = 1.

Since the distance between the given point and the origin is indeed equal to 1, we can conclude that the point is on the unit circle.

Answer:

17 trips will it take him to move 51 boxes

Step-by-step explanation:

Given: Anton can carry 3 boxes per trip.

That's mean for 1 trip he carry 3 boxes .

To carry 51 boxes he make , [tex]\frac{51}{3}=17[/tex] trip

Therefore, 17 trips will it take him to move 51 boxes.

The function h(x) has the greatest y-intercept of 8, as it crosses the y-axis at the highest point.

The function that has the greatest y-intercept is the one that crosses the y-axis at the highest value. The y-intercept is the point where the graph of a function intersects the y-axis, which is when x = 0. So, to find the function with the greatest y-intercept, we need to evaluate the y-value when x = 0 for each function.

Let's consider the functions f(x), g(x), and h(x). If f(x) has an equation of y = 3x + 5, g(x) has an equation of y = x - 2, and h(x) has an equation of y = -2x + 8, we can plug in x = 0 and see which function gives us the greatest y-value.

For f(x), when x = 0, y = 3(0) + 5 = 5. For g(x), when x = 0, y = 0 - 2 = -2. And for h(x), when x = 0, y = -2(0) + 8 = 8. Thus, h(x) has the greatest y-intercept because it crosses the y-axis at the highest point, which is 8.

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The converse statement  interchange the hypothesis and the conclusion.

The converse of x=9 then [tex]x^{2} =81.[/tex]  is [tex]x^{2} = 81 then x=9.[/tex] is true.

A biconditional statement is defined to be true whenever both parts have the same truth value . combining  the statements as a biconditional we have

If [tex]x^{2}[/tex]. = 81, then x = 9.  

x = 9 if and only if [tex]x^{2} .[/tex] = 81

Option D is the right answer.

Answer:

41.57 unit²

Step-by-step explanation:

We know,

Area of a regular hexagon = [tex]3\times (sidelength)\times (apothem)[/tex].

The length of the apothem = [tex]2\sqrt{3}[/tex] units.

Since, we know, 'a regular hexagon splits into 6 identical equilateral triangles'.

As, the apothem of the regular hexagon = height of the equilateral triangle

So, height of the equilateral triangle = [tex]2\sqrt{3}[/tex] units.

As, in the equilateral triangle, 'One of the side length is the S, other will be [tex]\frac{S}{2}[/tex] and height is [tex]2\sqrt{3}[/tex] units'.

So, using Pythagoras Theorem, we have,

[tex]hypotenuse^{2}=perpendicular^{2}+base^{2}[/tex]

i.e. [tex]S^{2}=(\frac{S}{2})^{2}+(2\sqrt{3})^{2}[/tex]

i.e. [tex]S^{2}=\frac{S^2}{4}+12[/tex]

i.e. [tex]S^{2}-\frac{S^2}{4}=12[/tex]

i.e. [tex]\frac{3S^2}{4}=12[/tex]

i.e. [tex3S^2=48[/tex]

i.e. [texS^2=16[/tex]

i.e. S= 4 units

That is, the side length of the hexagon = 4 units.

Thus, the area of the hexagon is given by,

Area of a regular hexagon = [tex]3\times (4)\times (2sqrt{3})[/tex]

i.e. Area of a regular hexagon = [tex]12\times (2sqrt{3})[/tex]

i.e. Area of a regular hexagon = [tex]24sqrt{3}[/tex]

i.e. Area of a regular hexagon = 41.57 unit²

Hence, the area of the regular hexagon is 41.57 unit².

Answer: a

Step-by-step explanation: that person coulda said that

The triangle with side lengths of 14 cm, 48 cm, and 50 cm is a right triangle.

The lengths of the sides of the triangle are 14 cm, 48 cm, and 50 cm. To classify the triangle, we need to determine if it is acute, obtuse, or right.

Using the Pythagorean theorem, we can check if it satisfies the condition for a right triangle. If the square of the length of the longest side (50 cm) is equal to the sum of the squares of the other two sides (14 cm and 48 cm), then it is a right triangle.

In this case, (50)^2 = (14)^2 + (48)^2, which is true. Therefore, the triangle is a right triangle.

Final answer:

A triangle with side lengths of 14 cm, 48 cm, and 50 cm is classified as an acute triangle.

Explanation:

A triangle with side lengths of 14 cm, 48 cm, and 50 cm can be classified as an acute triangle.

To determine this, we need to check if the square of the longest side (50 cm) is less than the sum of the squares of the other two sides (14 cm and 48 cm).

502 < 142 + 482

2500 < 196 + 2304

2500 < 2500

This inequality is not true, so the triangle is not obtuse or right. Thus, it is classified as an acute triangle.

The trinomial [tex]2n^2[/tex]+3n-9 cannot be factored using integers as no two numbers exist that multiply to give -18 (the product of the leading coefficient and the constant term) and add up to 3 (the middle coefficient).

To factor the quadratic trinomial [tex]2n^2[/tex]+3n-9, one must find two binomials that, when multiplied together, give the original trinomial. Factoring complex trinomials can sometimes be achieved by finding two numbers that multiply to give the product of the leading coefficient (2 in this case) and the constant term (-9 in this case), and add to give the middle coefficient (3 in this case). However, for this particular trinomial, such numbers do not exist, and it cannot be factored using integers. This means that either the trinomial is prime (cannot be factored), or it would require the quadratic formula to solve for factors involving irrational or complex numbers.

Answer:

B) $4

Step-by-step explanation: