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SpyIntel [72]
4 years ago
10

How many times does the graph of the quadratic function f(x) = x² - 9 intercept the x-axis?

Mathematics
1 answer:
xz_007 [3.2K]4 years ago
6 0
2 times because x = both 3 and -3
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3 years ago
If Ab = 54, find MC.
AnnyKZ [126]

Answer:

MC = 45

Step-by-step explanation:

Δ ABH and Δ MCH are similar and the ratios of corresponding sides are equal, that is

\frac{AB}{MC} = \frac{AH}{MH} , substitute values

\frac{54}{MC} = \frac{6}{5} ( cross- multiply )

6MC = 270 ( divide both sides by 6 )

MC = 45

8 0
3 years ago
In the symbol AB, the letter A represents a(n) ANSWERS : a.) segment b.) ray c.) point d.)plane
bulgar [2K]

It would have to be C. point.

Since it says AB that marks two points and a line in between them. If only talking about A, it would be a point.

5 0
3 years ago
Read 2 more answers
BRAINLYEST
iVinArrow [24]

Given:

The data set is

10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17, 35

To find:

Effect on mean, median, range after removing the outlier, 35.

Solution:

We have, the data set

10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17, 35

\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}

\text{Mean}=\dfrac{10+10+11+12+13+13+13+14+14+15+15+15+16+17+17+17+35}{17}

\text{Mean}=\dfrac{257}{17}

\text{Mean}=15.117647

\text{Mean}\approx 15.12

Mean of the data set is 15.12.

Median=\dfrac{n+1}{2}\text{th term} because n=17, which is odd.

Median=\dfrac{17+1}{2}\text{th term}

Median=\dfrac{18}{2}\text{th term}

Median=9\text{th term}

Median=14

Median is 14.

Range=Maximum-Minimum

Range=35-10

Range=25

Range is 25.

After removing the outlier, 35, the data set is

10, 10, 11, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 17, 17, 17

\text{Mean}=\dfrac{10+10+11+12+13+13+13+14+14+15+15+15+16+17+17+17}{16}

\text{Mean}=\dfrac{222}{16}

\text{Mean}=13.875

Mean of the new data set is 13.875, which is less than 15.12.

Median=\dfrac{\dfrac{n}{2}\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2} because n=16, which is even.

Median=\dfrac{\dfrac{16}{2}\text{th term}+(\dfrac{16}{2}+1)\text{th term}}{2}

Median=\dfrac{8\text{th term}+9\text{th term}}{2}

Median=\dfrac{14+14}{2}

Median=\dfrac{28}{2}

Median=14

New median is 14, which is same as original median.

Range=17-10

Range=7

So, the new range is 7 which is less than 25.

Therefore, the mean of the data set will decrease, the median of the data set will not change, the Range of the data set will decrease.

5 0
3 years ago
Read 2 more answers
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