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LekaFEV [45]
2 years ago
12

How many factors are in the expression? 4y^2 x(x+3)^2 (x-9)

Mathematics
1 answer:
8_murik_8 [283]2 years ago
5 0

Answer:

Eight

Step-by-step explanation:

4y^2 x(x+3)^2 (x-9)

= 2 × 2 × y × y × x  × (x + 3) × (x + 3) × (x – 9)

  ↑   ↑    ↑    ↑    ↑        ↑            ↑            ↑

  1    2    3    4    5         6           7             8

If you reduce to the smallest possible factors, there eight factors to the expression.

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How do you make 1 1-2/1-6-7/8 a mixed number
AveGali [126]

Answer:

17/8

Step-by-step explanation:

2/1=2

11-2-6-7/8

9-6-7/8

3-7/8

24/8-7/8

17/8

8 0
3 years ago
Solve the system of equations:<br> 5x + 3y = 23<br> 3y = 15x - 21
Rama09 [41]

Answer:

x=11/5 and y=4

Explanation:

4 0
2 years ago
For the function f(x)=(1/2)⋅6^x , identify the domain, range, y-intercept, and asymptote.
skelet666 [1.2K]

Answer:

Step-by-step explanation:

f(x) = (1/2) *6^x = 2^-1 * 2^x *3^x

y= 2^ (x-1) * 3^x

Domain represents all values that x can have and is all real numbers

Range all values that y can have and is y > 0 ( all real numbers that are positive)

The y-intercept is the point where the graph intersects the y-axis so x=0 there

y = 2^(0-1) *3^0 = 1/2 *1 = 1/2

the asymptote is at y= 0

6 0
2 years ago
last year 1/5 of the students in your class played a sport this year 10 students join the class five of the new students play a
tino4ka555 [31]

Answer:

60

Step-by-step explanation:

last year 1/5 of the class played sports, so s = (1/5) c

the next year, s increased by 5, c increased by 10 and the fraction changed to 1/4, so for the next year (s+5) = (1/4)(c+10)

To solve this we can substitute s = (1/5)c from the first equation into the second, so

((1/5)c + 5)=(1/4)(c+10), simplify both sides

(1/5)c + 5 = (1/4)c + 10/4, simplify 10/4 to 5/2

(1/5)c + 5 = (1/4)c + 5/2, multiply both sides by 20 to eliminate fractions (least common multiple of 2, 4 and 5)

4c + 100 = 5c + 50, subtract 4c, subtract 50 from both sides

50 = c, number of students in class last year was 50, this year is 10 more, so this year is 60

5 0
2 years ago
Pia printed two maps of a walking trail. The length of the trail on the first map is 8 cm. The length of the trail on the second
Vlada [557]
Scale :

Map 1 : Actual
1 cm   :  2 km
1 cm   :  200 000 cm          | Convert 2km to 200 000cm

Answer: The scale is 1 : 200 000 

Map 1 : Actual
1 cm   :  200 000 cm 
(x8)    :   (x8)
8 cm :  1 600 000cm

1 600 000 cm = 16 km

Answer: The length of the actual trail is 16 km

Map 1 : Map 2
8cm   :   6cm
1cm    :    0.75 cm

Answer : The scale is 1 : 0.75

Map 1 : Map 2
1    :  0.075 

3mm : 0.075 x 3 = 0.225mm

4mm : 0.075 x 4 = 0.3 mm

5mm : 0.075 x 5 = 0.375 mm

Answer: The side lengths are 0.225mm, 0.3 mm and 0.375 mm

3 0
3 years ago
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