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tia_tia [17]
3 years ago
11

How to turn this equation: y= -1.02(x-3)^2+9.25 into factored form

Mathematics
1 answer:
kicyunya [14]3 years ago
8 0

Answer:

x^2-6x+17.23

Step-by-step explanation:

y= -1.02(x-3)^2+9.25

multiply (x-3)(x-3)

you get -1.02+x^2-3x-3x+9+9.25

solve x^2-6x+18.25

                     -1.02

answer x^2-6x+17.23

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Emory ran 3 miles in 30 minute. At this pace, how long will it take Emory to run 9 miles? Explain your method AND your reasoning
kvasek [131]

Answer:

It will take him 1 hour and 30 minutes. (90 minutes)

Step-by-step explanation:

If he is running 1 mile in 10 minutes and he needs to run 9 miles the just multiply 9 by 10 to get 90 then simplify if you need to to get 1 hour and 30 minutes.

Hope this helped and have a great rest of your day.

3 0
3 years ago
Describe the rotation of J
Serga [27]

Answer:

The coordinates of J' when rotating by 90° counterclockwise will be: J'(3, 1)

The coordinates of J' when rotating by 90° clockwise will be: J'(-3, -1)

Step-by-step explanation:

Square JKLM with vertices

  • J(1, -3)
  • K(5, 0)
  • L(8, -4)
  • M(4, -7)

We have to determine the answer for the image J' of the point (1, -3) when we rotate the point by 90° counterclockwise, we need to switch x and y, make y negative.

In other words, the rule to rotate a point by 90° counterclockwise.

P(x, y) → P'(-y, x)

As we are given that J(1, -3), so the coordinates of J' will be:

J(1, -3) → J'(3, 1)

Therefore, the coordinates of J' when rotating by 90° counterclockwise will be:  J'(3, 1).

When the point is rotated by 90° clockwise, we need to switch x and y, make x negative.

In other words, the rule to rotate a point by 90° clockwise.

P(x, y) → P'(y, -x)

As we are given that J(1, -3), so the coordinates of J' will be:

J(1, -3) → J'(-3, -1)

Therefore, the coordinates of J' when rotating by 90° clockwise will be:  J'(-3, -1)

3 0
2 years ago
A traffic officer is compiling information about the relationship between the hour or the day and the speed over the limit at wh
SpyIntel [72]

Answer:

The correlation between hour of the day and the speed over the limit at which the motorist is ticketed is weak positive correlation.

Step-by-step explanation:

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

The types of correlation coefficient are:

  • +1 (-1) : Perfect positive (negative) correlation
  • 0 to 0.30(-0.30) : Weak positive (negative) correlation
  • 0.30(-0.30) to 0.70(-0.70) : Moderate positive (negative) correlation
  • 0.70(-0.70) to 1 (-1) :  Strong positive (negative) correlation

The correlation coefficient value between the hour of the day and the speed over the limit at which the motorist is ticketed is:

<em>r</em> = 0.12.

The value of <em>r</em> lies between:

0 < 0.12 < 0.30

Thus, the correlation between hour of the day and the speed over the limit at which the motorist is ticketed is weak positive correlation.

3 0
3 years ago
There are 399 items advertised in a catalog. If the catalog is 75 pages long, what is the average number of items per page?
sukhopar [10]

Answer:

Step-by-step explanation:

Well, we can divide 399 and 75 so it would be 5.32. Round that and it would be about 5 items per page

5 0
3 years ago
Ian Duncan drove from Kajiado to Nairobi at a distance of 180km in one hour. What was the speed in m/s?​
charle [14.2K]

9514 1404 393

Answer:

  50 m/s

Step-by-step explanation:

Ian's rate was ...

  (180,000 m)/(3600 s) = 50 m/s

__

There are 1000 meters in a kilometer, and there are 3600 seconds in 1 hour. To find meters per second, divide meters by seconds.

7 0
2 years ago
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