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stiv31 [10]
3 years ago
9

Which is one of the transformations applied to the graph of f(x)=x^2 to change it into the graph of g(x)=4x^2+24x*30?

Mathematics
1 answer:
AfilCa [17]3 years ago
5 0

Answer:

Changing g(x) to this form: a(x-h) + k, we have:

g(x) = 4 (x+3)^2 - 6

Comparing this to the original equation, f(x) = x^2, we have the following transformations:

The graph is widened.

The graph is shifted left 3 units.

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A national dental association conducted a survey to find the average (mean) amount of time dentists spend on dental fillings per
eduard

Answer:

The probability of finding a sample mean less than 18 hours is 0.0082

Step-by-step explanation:

To find the probability of finding a sample mean less than 18 hours, we need to calculate the z-score of this sample mean 18. And the probability of finding a sample mean less than 18 hours is P(z<z(18)).

Z-score can be calculated as follows:

z(18)=\frac{X-M}{\frac{s}{\sqrt{N} } } where

  • X is the sample mean (18 hours)
  • M is the average hours dentists spend per week on fillings (20 hours)
  • s is the standard deviation (10 hours)
  • N is the sample size (144)

Putting the numbers, we get:

z(18)=\frac{18-20}{\frac{10}{\sqrt{144} } }=-2.4

Using z- table we can find that P(z<z(18)) = 0.0082

4 0
3 years ago
Help please I'm stuck
Elza [17]

Answer:

but theres no graph

Step-by-step explanation:

6 0
3 years ago
A car wash detailed 288 cars in 9 hours. At what rate did the car wash detail cars in cars per hour? A. 31 cars per hour B. 33 c
natta225 [31]

Divide the number of cars by the number of hours:

288 / 9 = 32 cars per hour.

4 0
3 years ago
7+n=−5 18=−3y−6 3/5x=18
Keith_Richards [23]

Answer:

1) n=-12

2) y=-8

3) x= 1/30

Step-by-step explanation:

1) 7+n=-5

7+n-7=-5-7

n=-12

2) 18=-3y-6

  -3y-6=18

 -3y-6+6=18+6

 -3y=24

 -3y/-3 = 24/-3

      y= -8

3) 3/5x=18

   3/15 X 5x= 18 X 5x

        3=90x

    90x/90= 3/90

        x= 1/30

8 0
3 years ago
Read 2 more answers
D) Use your knowledge of scale drawings and image sizes to fill in the missing
astraxan [27]

Answer:

  Your table is filled in below.

Step-by-step explanation:

The scale factor is the ratio of image size to original size. In part (d), the image height is "blocks" while the original height is "feet". So, the units of the scale factor are "blocks/ft".

Sometimes a scale factor has units, like this, and sometimes it is expressed as a pure number. A map scale factor might be the pure number ratio 1 : 62500, or it could also be expressed with units as 1 in : 1 mile.*

__

* actually, these are slightly different scales. 1:62500 is about 0.98643 inches per mile.

7 0
3 years ago
Read 2 more answers
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