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o-na [289]
3 years ago
6

Suppose an x-y axis is superimposed on the map with its origin at Des Moines, Iowa. also suppose a cold front is passing through

the US at noon having shaped roughly like a parabola with its vertex at Des Moines, Iowa ad a vertical stretch/ shrink factor of 1/20 if the independent varaible is measured in hundreds of miles. What type of function are you working with. How do you know? Is the leading coefficient positive or negative? how do you know?

Mathematics
1 answer:
V125BC [204]3 years ago
5 0
Based on the figure and the problem, the cold front is in the shape of a parabola. Therefore, the function is of second degree or a quadratic function. Since the graph of the parabola is curved upwards and its degree is 2 which is even, the leading coefficient is positive.
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Which of the following equations have infinitely many solutions?
Svetllana [295]

Answer:

Choice A

Step-by-step explanation:

In each case, each equation has an equation of a line in y = mx + b form equaling another equation of a line in y = mx + b form. If the two sides are equal, it is the same equation, there are infinitely many solutions. If the sides are different, then if the slopes are different, the lines intersect at one point, and there is exactly 1 solution. If the slopes are equal, the lines are parallel, and there is no solution.

(Choice A) -10x-10=-10x-10

In Choice A, both sides of the equation are equal, so there are infinitely many solutions.

(Choice B) 10x-10=-10x+10

(Choice C) 10x-10=-10x-10

(Choice D) -10x-10=-10x+10

In choices B through D, the two sides are not equal, so there is either 1 solution (B and C since they have different slopes) or no solution (D since the slopes are equal).

3 0
3 years ago
During a period of extreme cold, the average daily temperature dropped decreased by 112°F day. How many days did it take for the
NNADVOKAT [17]

It takes about 4 days for the temperature to decrease by 9°F.

An equation is an expression that shows the relationship between two or more variables or numbers.

Let x represent the number of days. Given that the temperature drop decreased by 1 1/2°F each day (- 1 1/2), for it to decrease by 9°F (-9):

-1 1/2 * x = -9

-1.5x = - 9

x = 4 days

It takes about 4 days for the temperature to decrease by 9°F.

5 0
2 years ago
The scale factor of figure JKLMN to figure PQRST is 3:2. If KL = 9 cm and MN = 15 cm, what is the length of side QR?
Alecsey [184]
The length of side QR is 6 cm
5 0
4 years ago
14x+8=18x-4 do not do this one i did this for a friend
fomenos

14x+8=18x-4

14x-18x=-4-8

-4x=-12

x=3

8 0
3 years ago
In the figure, BC is a support for the roof<br> of a garage. What is the length of BC?
Sonbull [250]

Answer:

Bc = √63 ft

Step-by-step explanation:

Here, we want to get the length of BC

As we can see, there is a right angled triangle ABC, with 12ft being the hypotenuse and 9 ft the other side

So we want to get the third leg which is BC

we can use the Pythagoras’ theorem here

And that states that the square of the hypotenuse equals the sum of the squares of the two other sides

let the missing length be x

12^2 = x^2 + 9^2

144 = x^2 + 81

x^2 = 144-81

x^2 = 63

x = √63 ft

4 0
3 years ago
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