<span>No, 7 is a natural number divisible by 7 and not 14 for example. In fact every odd multiple of 7 (i.e. 7 times 1,3,5,7,...) is divisible by 7 and not 14.</span>
<span>The answer is -12 + 20x ≥ –6x 9. The inequality is –4(3 – 5x)≥ –6x 9. The first step is to multiply factors on the left side. The intermediary steps are: (-4)*(3) - (-4)*(5x) ≥ –6x 9. -12 - (-20x) ≥ –6x 9. So, the first step will be: -12 + 20x ≥ –6x 9.</span>
Answer:
(c) y = -3x +6
Step-by-step explanation:
The equation can be written in slope-intercept form when we know the slope and the y-intercept.
<h3>Slope-intercept form</h3>
The slope-intercept form of the equation of a line is ...
y = mx +b . . . . . . where m is the slope and b is the y-intercept
<h3>Y-intercept</h3>
The y-intercept is the y-value where the line crosses the y-axis. It is 6. This eliminates choices A and D, leaving choices ...
- y = 3x +6 . . . . . choice B
- y = -3x +6 . . . . .choice C
<h3>Slope</h3>
The line goes down to the right. This is a negative slope, eliminating choice B.
The equation of the line is y = -3x +6.
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<em>Additional comment</em>
The line intersects the x-axis at x=2. This means the "rise" of the line is -6 units for a "run" of 2 units. The numerical value of the slope is ...
m = rise/run = -6/2 = -3
Now, we know the parameters of the equation are m=-3, b=6, and the equation of the line is
y =-3x +6
Answer:
see the procedure
Step-by-step explanation:
we have

where
c -----> the cost in dollars
g ----> the number gallons of gas purchased
1) For g=1 gal
substitute the value of g in the equation and solve for c


The pair (1,2.95) fit the relationship
2) For g=3 gal
substitute the value of g in the equation and solve for c


The pair (3,8.85) fit the relationship
3) For g=5 gal
substitute the value of g in the equation and solve for c


The pair (5,14.75) fit the relationship
4) For c=$20.65
substitute the value of c in the equation and solve for g



The pair (7,20.65) fit the relationship
Answer:
1 ) 49,062.5 feet square
2) 64 π inch square .
3) 9 π meter square .
4) 289 π ft square.
5) 225 π cm square .
Step-by-step explanation:
1) From the above figure we can see that diameter of pond is given as 250 ft.
So we easily calculate the area of circular pond by using the area formula of circle.
AREA 
= 0.785 × 250 × 250 ft square
= 49,062.5 ft square .
2) In the second figure diameter is given as 16 inches .
AREA 
= 
= 64 π inch square .
3) Here the diameter is given as 6 m .
AREA 
= 9 π meter square .
4) Here the radius is 17 ft .
AREA = π × radius ×radius
= π × 17 × 17 ft. square .
= 289 π ft square.
5) Here the radius is give as 15 cm.
AREA = π × radius ×radius .
= π × 15 × 15 cm square .
= 225 π cm square .