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3 years ago

13

Suppose temperatures and monthly ice cream sales were measured for 100 randomly selectd cities. Which variable is the explanator

y variable and which one is the response

1 answer:

34kurt3 years ago

6 0

Temp is explanatory and ice cream sales is the response

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Please walk me through how to do this so I can di the other questions

Naddik [55]

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

3 0

3 years ago

Can someone please explain?

AlladinOne [14]

<h2>Hello!</h2>

The answer is:

The correct option is the first option:

$y=-4x+64$

<h2>Why?</h2>

To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.

We must remember that the slope-interception form of the lines is:

$y=mx+b$

Where,

y, is the function

m, is the slope of the line

x, is the variable

b, is the y-axis intercept

We can find the slope using the following formula:

$m=\frac{ChangeInY}{ChangeInX}$

Which is for this case:

$m=\frac{64}{16}=4$

As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:

$m=-4$

We can find the value of "b" seeing where the line intercepts the y-axis.

As we can see it intercept the y-axis at: $y=64$

Then, now that we already know the value of "m" and "b", we can write the equation of the line:

$y=mx+b=-4x+64\\y=-4x+64$

So, the correct option is the first option:

$y=-4x+64$

Have a nice day!

4 0

3 years ago

A bar graph shows That Sports books received 9 votes. If the scale is to 20 by twos, Where should the bar end for the sports boo

Scilla [17]

It should go between the 8 and the 10.

4 0

3 years ago

Find the volume of the given solid region in the first octant bounded by the plane 9z+15y+15z=45 and the coordinate planes, usi

dem82 [27]

First,

$9x+15y+15z=45\implies 3x+5y+5z=15$

The volume is given by the integral (one of 6 possible combinations),

$\displaystyle\int_0^5\int_0^{\frac{15-3x}5}\int_0^{\frac{15-3x-5y}5}\mathrm dz\,\mathrm dy\,\mathrm dx=\boxed{\frac{15}2}$

3 0

3 years ago

coldgirl [10]

We need to split this shape into different shapes. I am going to split it into 2 rectangles, and one triangle. The first thing I am going to do is the triangle. A triangle has an area of 1/2 b*h. Since 25 is the base of the figure, and 16 is the top portion where the triangle dips, we will subtract 16 from 25 to find the base of the triangle. The base is 9. Now we will find the height using the same method with the 23 and the 14. Our height is 9. 9*9 = 81 * 1/2 = 40.5. The area of our triangle is 40.5.

Next I will move on to the bigger rectangle. I am going to create a line where the 16 cm stops on the right hand side. This makes our base 16 cm and the height 23. 16 * 23 is 368. The area of this rectangle is 368

And now for our final rectangle. The base for this one is the same as the base of our triangle, so it is 9. The height of this one is 14. 9 * 14 =126. The area of this rectangle is 126.

Now we need to add these all together.
368 + 126 + 40.5 = 534.5 cm^2

8 0

3 years ago