While on a trip, you notice that the video screen on the airplane, in addition to showing movies and news, records your altitude (in kilometers) above the ground. As the plane starts its descent (at time x = 0), you record the following data:
Time, x (min.)
Altitude, y (km)
0
12
2
10
4
8
6
6
8
4
10
2

If you were to graph this information, the resulting line would represent a linear function. Using this information from the table and the information on your graph, by how much does the altitude of the plane change for each three-minute change in time during the descent.
a.
The altitude of the plane decreases 2 kilometers for each 3 minutes into the descent.
b.
The altitude of the plane decreases 3 kilometers for each 3 minutes into the descent.
c.
For every 3 minutes, the altitude of the plane increases 3 kilometers.
d.
For every 3 minutes, the altitude of the plane increases 2 kilometers.



Please select the best answer from the choices provided​

Answer:

Step-by-step explanation:

15

Part A:

Yes, the numbers of white and yellow flowers in Cara's arrangements are proportional.

yellow flowers = y

white flowers = w

5y = 3w

Therefore, the numbers of white and yellow flowers in Cara's arrangements are proportional.

Part B:

yellow flowers = y

white flowers = w

6y = 4w

Therefore, the numbers of white and yellow flowers in Hector's arrangements are proportional.

Step-by-step explanation:

Shortest way to solve this question is to find the factors of the given expression.

The given expression is (x² + 13).

Now we have to factorize it.

(x² + 13) = x² + (√13)²

            = x² + [-(i)²√(13)²]  [Since i = √(-1)]

            = x² - (i√13)²

            = (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]-by-

Answer:

1 = 3

2 = 1 ( I assumed the equation is y-4 = [(x+5)]

3 = -6

Step-by-step explanation:

Answer:

It is 10 (m=10)

Step-by-step explanation:

3 (10-2) + 14                  Subtract whats in the parentheses

3 (8) + 14                        Multiply 3 and 8

24 + 14                             Add the remaining to get the sum ( 24 + 14 )

38           (Your total)

~~~Hope this helps~~~

Answer:

16 fish

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]m[/tex] - slope

[tex]b[/tex] - y-intercept

Given

[tex]m=-\dfrac{8}{7}[/tex]

and point [tex](7;\ -5)[/tex]

Substitute the value of the slope and the coordinates of the point ot the equation of a line:

[tex]-5=-\dfrac{8}{7\!\!\!\!\diagup}\cdot7\!\!\!\!\diagup+b[/tex]     cancel 7

[tex]-5=-8+b[/tex]           add 8 to both sides

[tex]-5+8=-8+8+b[/tex]

[tex]3=b\to b=3[/tex]

Therefore we have the equation of the line:

[tex]y=-\dfrac{8}{7}x+3[/tex]

Substitute (x, 3) to the equation:

[tex]3=-\dfrac{8}{7}x+3[/tex]          subtract 3 from both sides

[tex]3-3=-\dfrac{8}{7}x+3-3[/tex]

[tex]0=-\dfrac{8}{7}x[/tex]           divide both sides by (-8/7)

[tex]0=x\to x=0[/tex]

Answer:

the lcm of 3 and 5 is 15 I hope this helps

Step-by-step explanation:

Answer:

The asnwer is the first one

Step-by-step explanation:

thx for the poins

Answer:

84

It took a while

Answer:

Please check the graph below.

Step-by-step explanation:

Given the function

[tex]y\:=\:x^2\:+\:6x\:+\:5[/tex]

Axis interception points of the function

x-axis interception points can be computed by setting y=0

[tex]x^2+6x+5=0[/tex]

[tex]\left(x+1\right)\left(x+5\right)=0[/tex]

Using the zero factor principle

if  [tex]\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]x+1=0\quad \mathrm{or}\quad \:x+5=0[/tex]

[tex]x=-1,\:x=-5[/tex]

Hence,

x-axis interception points are: (-1, 0), (-5, 0)

y-axis interception points can be computed by setting x=0

[tex]x^2+6x+5=0[/tex]

[tex]y\:=\:\left(0\right)^2\:+\:6\left(0\right)\:+\:5[/tex]

[tex]y=0+0+5[/tex]

[tex]y=5[/tex]

Hence,

y-axis interception points are: (0, 5)

From the graph, it is clear that at (-3, -4) the parabola changes direction, hence (-3, -4) it the "vertex".

Also at the point x=-2, then y is = -3

So, all the points are labeled and the graph is attached below.

Answer:

5 presents

Step-by-step explanation:

40 presents in 2 hours

20 presents in 1 hour (divide by 2)

20 presents in 60 minutes ( 1 hour is 60 minutes )

5 presents in 15 minutes ( divide by 4)

Answer:

4.0

Step-by-step explanation:

Answer:

4.1

Step-by-step explanation:

4.1231056 is [tex]\sqrt{17}[/tex]

When rounding to the nearest tenth, we get

4.1

Hope I helped,

PumpkinSpice1

Answer:

watch vedio

Step-by-step explanation:

gsinssuksbsi

Answer:

Axis is a vertical line at x = 2

Vertex is (2, -1)

y-intercept is (0, 3)

Solutions are x = 1 and x = 3

Step-by-step explanation:

To draw the graph of the quadratic equation you must find at least 5 points lie on the graph by choose values of x and find their values of y

Let us do that

Use x = -1, 0, 1, 2, 3, 4, 5

∵ y = x² - 4x + 3

∵ x = -1

∴ y = (-1)² - 4(-1) + 3 = 1 + 4 + 3 = 8

→ Plot point (-1, 8)

∵ x = 0

∴ y = (0)² - 4(0) + 3 = 0 + 0 + 3 = 3

→ Plot point (0, 3)

∵ x = 1

∴ y = (1)² - 4(1) + 3 = 1 - 4 + 3 = 0

→ Plot point (1, 0)

∵ x = 2

∴ y = (2)² - 4(2) + 3 = 4 - 8 + 3 = -1

→ Plot point (2, -1)

∵ x = 3

∴ y = (3)² - 4(3) + 3 = 9 - 12 + 3 = 0

→ Plot point (3, 0)

∵ x = 4

∴ y = (4)² - 4(4) + 3 = 16 - 16 + 3 = 3

→ Plot point (4, 3)

∵ x = 5

∴ y = (5)² - 4(5) + 3 = 25 - 20 + 3 = 8

→ Plot point (5, 8)

→ Join all the points to form the parabola

From the graph

∵ The axis of symmetry is the vertical line passes through the vertex point

∵ x-coordinate of the vertex point is 2

∴ Axis is a vertical line at x = 2

∵ The coordinates of the vertex point of the parabola are (2, -1)

∴ Vertex is (2, -1)

∵ The parabola intersects the y-axis at point (0, 3)

∴ y-intercept is (0, 3)

∵ x² - 4x + 3 = 0

∵ The solutions of the equation are the values of x at y = 0

→ That means the intersection points of the parabola and the x-axis

∵ The parabola intersects the x-axis at points (1, 0) and (3, 0)

∴ Solutions are x = 1 and x = 3

The negative sign represents the loss. Then the loss of Juan's will be $744.

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.

The profit is given as,

Profit = Selling price - Cost price

Juan’s business had sales in August of $3,256.00. In the same month, his expenses were $4,000.00.

The profit is calculated as,

Profit = $3,256 - $4,000

Profit = - $744

The negative sign represents the loss. Then the loss of Juan's will be $744.

More about the profit is given below.

https://brainly.com/question/15036999

#SPJ3

The line is passing through (2, 0) and (0, 0.8) and the slope is 0.4. Then the correct option is A.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

From the line, we can observe that the line is passing through (2, 0) and (0, 0.8).

Then the slope of the line will be

Slope = (0.8 – 0) / (0 – 2)

Slope = 0.4

Then the correct option is A.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Answer:

70

Step-by-step explanation:

Answer:

well i dont think anyone from melbourne will be going anywhere anytime soon

Step-by-step explanation:

25 may, sunday, i think it would be 6:45am?

Answer:

7h+3=-11?

then h=-11-3 divided by 7

Step-by-step explanation:

Answer:

=(x-2)(x-3)

Step-by-step explanation:

This is what I got. I hope this can help you.

Answer:

Variance is the difference between a Budgeted Amount and the Actual Amount. In terms of expenses, if the Budgeted amount is more than the Actual amount, the variance is Favorable because less was spent than was supposed to be spent.

The reverse is true.

Variance = Budgeted Amount - Actual amount

= 255 - 225

= $30

Percentage = Variance / Budgeted amount

= 30/255

= 11.76%

The variance is FAVORABLE because the actual amount was less than the budgeted amount.

Answer:

Step-by-step explanation:

Function

We can see all 3 graphs have y-intercept of -2

Since the slope is negative, it is decreasing function, therefore possible options are A or C

Checking x-intercept and comparing with same of A and C

As we see it matches Option C, which is the answer

Answer:

4

Step-by-step explanation:

Answer: 90 seconds or 1 min. and 30 sec.

Step-by-step explanation:

72/4=18

18x5=90

Answer:

I have no idea butter needed points im sorryyy

Answer:

56

Step-by-step explanation:

Answer:

This equation is equal to y=3/2x-2

Step-by-step explanation:

Answer:

[tex]\sqrt{70}[/tex]

Step-by-step explanation:

Given data:

         2, 5 , 7

The geometric mean is a measure of central tendency of a data set which utilizes the product of their values

To find the geometric mean of the given values;

Geometric mean  = [tex]\sqrt{2 x 5 x 7 }[/tex]  

Geometric mean  = [tex]\sqrt{70}[/tex]

Answer:

2

Step-by-step explanation:

these are alternative interior angles so they are equal to each other (congruent) soooo

9x + 4 = 3x + 16

subtract:

9x = 3x + 12

6x = 12

divide

x = 2