<span>Let x = the width
:
It says,"The length of a rectangle is 4 less than 3 times the width." write that as:
L = 3x - 4
:
If the perimeter is 40, find the dimensions of the rectangle.
:
We know: 2L + 2W = 40
:
Substitute (3x-4) for L and x for W
2(3x-4) + 2x = 40
:
6x - 8 + 2x = 40; Multiplied what's inside the brackets
:
6x + 2x = 40 + 8; do some basic algebra to find x; (added 8 to both sides)
:
8x = 48
:
x = 48/8
:
x = 6 which is the width
:
It said that L = 3x - 4, therefore:
L = 3(6) - 4
L = 18 - 4
L = 14; is the length
:
Check our solutions in the perimeter:
2(14) + 2(6) =
28 + 12 = 40</span>
Answer:
The negative x-intercept is at (-1/3,0)
The positive x-intercept is at (4,0)
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
Given the equation;
3. 5 (1.25x + 0.5) = 10.5
Open the parenthesis
3.5(1.25x) + 3.5(0.5) =10.5
4.375x + 1.75 = 10.5
4.375x + 1.75 -1.75= 10.5-1.75
4.375x = 8.75
Divide both sides by 4.375
4.375x/4.375 = 8.75/4.375
x = 2
Hence the solution to the equation is 2
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