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raketka [301]
2 years ago
6

If possible could you explain how to get the answer if not it is ok.

Mathematics
1 answer:
Softa [21]2 years ago
3 0

Rules of exponents come in hand here.

Multiplication rule: a^m x a^n = a^ m+n

Division rule: a^m / a^n = a^m-n

Negative exponent: a^-m = 1/a^m; 1a^-m =a^m

So it would be (-3)^7+5 / (-3)^-2; (-3)^12 / (-3)^-2; (-3)^12 x (-3)^2; (-3)^14

The answer is (-3)^14. If you multiply it out it is 4,782,969.

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A number is 5 more than 3 times another number. The sum of the two numbers is 33. As an equation, this is written x + 3x + 5 = 3
Cloud [144]

Answer:

x=7, so the smaller number is 7 and the larger number is 21.

Step-by-step explanation:

x=3x+5=33

Let x=3:

(3)+3(3)+5=3+9+5=17, not 33, so x is not 3

Let x=5:

(5)+3(5)+5=5+15+5=25, not 33, so x is not 5

Let x=7:

(7)+3(7)+5=7+21+5=33, so x=7

Let x=9:

(9)+3(9)+5=9+27+5=41, not 33, so x is not 9

Therefore x=7. Because x represents the smaller number, and the larger number is 3 times the smaller number, the smaller number is 7 and the larger number is 3(7)=21.

6 0
2 years ago
Read 2 more answers
Solve the inequality: (x+3)(x−4)<−12
melamori03 [73]

Answer:

0<x<1

Step-by-step explanation:

(x+3)(x−4)<−12

FOIL

x^2 -4x+3x -12 <-12

x^2 -x -12 <-12

Add 12 to each side

x^2 -x -12+12 <-12+12

x^2 -x <0

Factor out an x

x(x-1) <0

Using the zero product property

x(x-1) =0

x=0  x-1=0

x=0  x=1

Check the ranges

x<0

x(x-1) <0        

- * - >0

False

0<x<1

x(x-1) <0        

+ * - <0

True

x>1

x(x-1) <0        

+ * + >0

False

3 0
2 years ago
Write an equation in point-slope form of the line that passes through
zhenek [66]
This one was though, but I think it might be y= -1/12x - 53/12.

Hope I helped!
6 0
3 years ago
Read 2 more answers
Type your answer in the box.
Valentin [98]

Answer:

The standard deviation of the set is: 1.5

Step-by-step explanation:

The actual standard deviation is 1.58... but to 1 decimal place it's 1.5

4 0
2 years ago
What does y = 2.5x - 10 equal?
mariarad [96]

Answer:

Step-by-step explanation:

x= y+10

-----------------

    2.5

3 0
2 years ago
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