#7
d/2 +d/5 + d/3 = 3
(15d + 6d + 10d) / 30 = 3
15d + 6d + 10d = 90
31d = 90
d = 90/31
d = 2 28/31
Answer: Yes
Step-by-step explanation:
x = 3
y = -7
10x + 20y ≥ -3
10 (3) + 20 (-7) ≥ -3
30 + (-140) ≥ -3
30 - 140 ≥ -3
-110 ≥ -3
(3, 7) is a solution
Log7+log(x-4)=1
Subtract log 7 from both sides
Log(x-4)=1-log7
As 1-log7 = log (10/7)
Log(x-4)=log (10/7)
As bases of logs are same.
we get
x-4=10/7
Add 4 to both sides
x=10/7 + 4
simplify
x=38/7
Answer: x=38/7
Answer:
- x - 5y = -5; x -5y = 35
- there are no solutions, the lines are parallel so do not intersect
Step-by-step explanation:
<h3>1.</h3>
We judge the x-intercept to be about 5 times as far from the origin as the y-intercept is. If we take the y-intercept of the blue line to be +1, then the equation of that line can be x -5y = -5. The y-intercept of the black line appears to be about 7 times as far from the origin as for the blue line, so the constant will be multiplied by -7: x -5y = 35.
The two equations in the system of equations could be ...
__
<h3>2.</h3>
We have assumed the two lines are parallel, so they will not intersect. A point of intersection would be a solution to the system. The system of equations will have no solutions.