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Juli2301 [7.4K]
3 years ago
12

What common base can be used to rewrite each side of the equation 2^(x+3)-3=5

Mathematics
2 answers:
ryzh [129]3 years ago
8 0
We are given with the equation <span>2^(x+3)-3=5 and is asked in the prooblem to determine the common base of each side of the equation. we transpose first 3 to the other side making it 8. 8 is equal to 2^3 which makes the common base then equal to 2.</span>
marin [14]3 years ago
6 0

Answer:

2

Step-by-step explanation:

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Find the inequality represented by the graph.
Korvikt [17]

Answer:

y>4x-2

Step-by-step explanation:

First let us find the equation of the line.

Given points (1,2) and (0, -2), the slope would be

(2-(-2))/(1-0) = 4/1= 4

The intercept is at -2, so the full equation would be

y=4x-2

However, we need to find the inequality of the graph. Everything greater than our line/above our line is included. Also notice that the line is dotted, which means that the line itself is not included.

Our equations should be,

y>4x-2

<em>I hope this helps! :)</em>

8 0
3 years ago
A rectangular prism has a height of 18 millimeters. The base of the prism has an area of 25 square millimeters.
malfutka [58]

Answer:

volume = 450 mm³

Step-by-step explanation:

Given:

  • height = 18 mm
  • area of base = 25 mm²

Volume of a rectangular prism = area of base x height

⇒ volume = 25 x 18 = 450 mm³

3 0
3 years ago
Write an equation of a polynomial with the given characteristics: a quadratic function has x -intercepts of -3 and 1, and a y-in
fredd [130]

Answer:

f(x) = -3(x+3)(x-1)

Step-by-step explanation:

x = -3 & 1; f(x) = 9

f(x) = a(x-r1)(x-r2)

f(0) = a(x-r1)(x-r2) = 9; 9 = a(0-(-3))(0-1)

9 = a(3)(-1); 9 = a(-3)

a = -3

f(x) = -3(x+3)(x-1)

5 0
3 years ago
Read 2 more answers
Lan Ventor designs a new board game and offers the design to Paddington Games p.l.c.
Andrej [43]

In order to make the offer attractive such that it would earn £25,000 for Ian Vector, Paddington Games would have to sell 460 games.

The game can be sold for £25,000 or for £2,000 and then a fee of £50 for every game sold.

In order for the amount to be the same, the amount from games sold will have to equal the difference between the £25,000 and the £2,000.

Difference is:

= 25,000 - 2,000

= £23,000

The <u>number of games to be sold</u> is:

= Difference / Amount per game

= 23,000 / 50

= 460 games

In conclusion, 460 games need to be sold to make the offer attractive.

<em>Find out more at brainly.com/question/2865277.</em>

5 0
2 years ago
20 is 25% of what number
borishaifa [10]
Hey there! :D

If 20 is 25% of a number, 

we know that it is a quarter of a number. 

20*4= 80

20 is 25% of 80.

I hope this helps!
~kaikers
5 0
3 years ago
Read 2 more answers
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