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denis-greek [22]
4 years ago
12

Simplify the expression so there is only one power for each base. (3x2)^5/(3^2 x 2^3)

Mathematics
1 answer:
Leya [2.2K]4 years ago
7 0

Answer:

Option D

Step-by-step explanation:

(3×2)^5/(3^2×2^3)

=(3^5)(2^5)/(3^2)(2^3)

=(3^5)/3^2 × (2^5)/(2^3)

=(3^3)×(2^2)

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Graph by using the slope and the y intercept.
Mashutka [201]

1. a) equation of the line :

  • y =  \dfrac{2}{5}x   - 7

y - intercept = -7

so, it will pass through point (0, -7)

and if we plug the value of x as 5, we get

  • y =  (\dfrac{2}{5}  \times 5) - 7

  • y = 2 - 7

  • =  - 5

so, it will pass through point (5, -5) too

now, just plot the points (0 , -7) and (5 , -5) and join them.

2. b) equation of line is :

  • y =  - 3x + 5

here, y - intercept = 5

so the line passes through point (0 , 5)

now, Plugging the value of x = 1 we get :

  • y =(  - 3 \times 1) + 5

  • y =  - 3 + 5

  • y = 2

so, the given line passes through point (1 , 2)

plotting the points, we can get our required line.

6 0
3 years ago
HELP ME PLEASE!!!!!!
gladu [14]

Answer:

6x²y²

Step-by-step explanation:

6: 1 2 3 6

18: 1 2 3 6 9 18

36: 1 2 3 4 6 9 12 18 36

the common factor for 6 18 and 36 are

1 2 3 6

x² = x × x

y³ = y × y × y

x³ = x × x × x

y³ = y × y × y

x³ = x × x × x

y² = y × y

the common factor are for x and y are

x² y²

Multiply the GCF of the numerical part 6 and the GCF of the variable part x² y² to get 6x² y²

5 0
3 years ago
Karen bought a handbag for $55. Agnes spent 1.5 times as much on hers. How much did Agnes spend?
Rus_ich [418]
82.50?? I think because I just multiplied them.
5 0
3 years ago
Read 2 more answers
PTG has side lengths of 18 cm, 27 cm, and 13 cm. which type of triangle is PTG? The answer is obtuse.
Verizon [17]
To know what kind of triangle is it. use the pythagorean theorem:
A^2 + B^2 = C^2,
where C is the longest side of the triangle 
if it satisfies the equation then it is a right triangle
if it does not then A^2 + B^2 > C^2 so it is acute triangle
if A^2 + B^2 < C^2 it is obtuse triangle

18^2 + 13^2 ? 27^2
324 + 169 ? 729
493 < 729 so it is obtuse triangle

3 0
3 years ago
given the functions f(x)=4x^2-1, g(x)=x^2-8x+5, and h(x)=-3x^2-12x +1, rank them from least to greatest based on their axis of s
Lesechka [4]
The formula for axis of symmetry is -b/2a.

For f(x):
0/2(4)
0/8
Axis of symmetry= 0

For g(x)
-(-8)/2(1)
8/2
Axis of symmetry= 4

For h(x)
-(-12)/2(-3)
12/-6
Axis of symmetry= -2

Order from least to greatest: -2, 0, 4

Final answer: h(x), f(x), g(x)
7 0
3 years ago
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