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slamgirl [31]
3 years ago
8

A) Compare the y-intercepts of f(x) and g(x). Use complete sentences.

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
8 0

Answer:


Step-by-step explanation:

a) y-intercept is when x=0


f(0)


=1/(0-3)


=-1/3


g(0)=0 from the graph


b) vertical asymptotes are vertical lines that f(x) and g(x) get close but do not exist there


Aneli [31]3 years ago
3 0

Answer:


Step-by-step explanation:

a) For the function f, the y-intercept is at (0, -1/3). For the function g as shown in the graph, the y-intercept is at (0,0) and it is higher than f.

b) For the function f, the vertical asymptote is at x=3. For the function g as shown in the graph, the vertical asymptote is at x=4 and is larger than that of f.


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The ratio of girls to boys in the 6th grade is to 6to7 how many girls are there if there are 364total students
Rina8888 [55]

Answer:

168 girls.

Step-by-step explanation:

There are a total of 6 + 7 = 13 'parts'.

So one part = 364 / 13 = 28.

So the number of girls = 6 * 28

= 168.

4 0
3 years ago
What are the coordinates of the point on the directed line segment from (-10, -3)(−10,−3) to (2, -3)(2,−3) that partitions the s
azamat

Answer:

the coordinates of the point would be (-2.5,3)

Step-by-step explanation:

We want to split the segment from (-10,-3) to (2,-3) into segments with a ratio of 5:3. Since the y-coordinate is -3 for both coordinates, the y-coordinate of the partitioning point will be -3. The ratio of 5:3 corresponds to 5/8 of the distance between the x-coordinates of the two points. So we would be moving 5/8 of the distance from -10 to 2 for the x-coordinate, so the x-coordinate would be -10 + 5/8 (12) = -2.5. So the coordinates of the point would be (-2.5,3)

6 0
3 years ago
Find the standard deviation of the data, 12, 19, 9.
jek_recluse [69]

Answer:

4.19

Step-by-step explanation:

Find the mean:

\text{Mean}=\frac{12+19+9}{3}=\frac{40}{3}

Find the standard deviation:

\text{Standard Deviation}=\sqrt{\frac{(12-\frac{40}{3})^2+(19-\frac{40}{3})^2+(9-\frac{40}{3})^2}{3}}=\sqrt{\frac{158}{9}}\approx4.19

4 0
2 years ago
Use the distance formula to find distance between two points. Need help on this ASAP.
astra-53 [7]

Answer:

a) 20 units

b) 2 √10 units

c) 2 √17 units

Step-by-step explanation:

The distance formula is;

D = √(y2-y1)^2 + (x2-x1)^2

a) D = √(-7-9)^2 + (-7-5)^2

D = √256 + 144

D = √400

D = 20

b) D = √(10-8)^2 + (9-2)^2

D = √(2)^2 + 6^2

D = √4 + 36)

D = √40

D = 2 √10 units

c) D = √(1 + 7)^2 + (-8+10)^2

D = √(64 + 4)

D = √68

D = 2 √17 units

3 0
3 years ago
How many square centimeters are in an area of 5.60 in2?
Phantasy [73]

1 square inch = 2.54^2 = 6.4516 square cms

So 5.60 in^2  = 6.60 * 6.4516 =   36.13cm^2 to nearest hundredth

7 0
3 years ago
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