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ivanzaharov [21]
3 years ago
9

Solve the equation: 5x + 7= 7x +23

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
4 0

Answer:

x = -8

Step-by-step explanation:

1)  5x + 7= 7x +23

Move the terms

2)  5x + 7 -7x = 23

Collect like terms

3)  5x -7x = 23 - 7

Calculate

4)  -2x = 16

Divide both sides by <em>-2</em>

5)  x = -8

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The width of rectangle A is the sum of twice a number and 8. The length of the rectangle is 3 times as great as the width. If th
Galina-37 [17]
Formula for perimeter of a rectangle = 2(L + W)
let the number be x
width = 2x + 8
length = 3(2x + 8)
substitute respectively
96 = 2 (2x + 8 + 3(2x + 8)) open the bracket
96 = 2 ( 2x + 8 + 6x + 24) collect like terms
96 = 2 (8x + 32) open the bracket
96 = 16x + 64
collect like terms
96 - 64 = 16x
32 = 16x
divide both sides by 16
32/16 = 16x/16
2 = x
therefore, the width = 2x + 8 = 2(2) + 8 = 4 + 8 = 12.
and the length = 3(2x + 8) = 6x + 24 = 6(2) + 24 = 12 + 24 = 36.
4 0
3 years ago
Can a variable be a constant
Sonja [21]

Answer: No

Step-by-step explanation:

A variable is always denoted with a symbol (commonly x), and a variable means that it can change based on what you plug into the symbol

Constants must always stay the same, so variables can't be constants and constants can't be variables

8 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!!!!!!!
hjlf
The Answer Is 60
2.5 x 8 The Number Of Sides On That Shape Was 8 
2.5 x 8 = 20
20 times the radius 3
20 x 3 = 60
60cm^2

~Hope This Helps :)
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4 0
3 years ago
Read 2 more answers
Is -49 a rational number? please explain
aleksklad [387]
Yes, because a rational number is any number that can be expressed as a fraction a/b where a/b are both integers, but cannot be zero.
7 0
2 years ago
Also these 2 :) determining the vertex and shifts/translations
Mrrafil [7]

Answer:

The answer to your question is below

Step-by-step explanation:

A) f(x) = x² + 4x + 1

Find the vertex

       y = x² + 4x + 1

-Subtract 1 in both sides

      y - 1 = x² + 4x

-Complete the perfect trinomial square in the right side

     y - 1 + (2)² = x² + 4x + (2)²

-Simplify

     y - 1 + 4 = (x + 2)²

     y + 3 = (x + 2)²

-Find the vertex

      V = (-2, -3)

B)

   f(x) = x²

   g(x) = (x - 4)² - 2      See the picture below

Shifted right           4 units

Shifted down         2 units

6 0
3 years ago
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