The first one x is greater than and equal to 34
Answer:
Step-by-step explanation:
In this problem, we have the following linear equations:
y=3x+5
y=ax+b
We know that a linear equation is an equation for a line. In a system of linear equations, two or more equations work together.
1. What values for a and b make the system inconsistent?
A system is inconsistent if and only if the lines are parallel in which case the system has no solution. This is illustrated in the first Figure bellow. Two lines are parallel if they share the same slope. So, the system is inconsistent for:
a=3
for any value of b
2. What values for a and b make the system consistent and dependent?
A system is consistent if and only if the lines are the same in which case the system has infinitely many solutions. This is illustrated in the second Figure bellow. So, the system is consistent and dependent for:
a=3 and b=5
Answer:
If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day
will be
.
Step-by-step explanation:
From the question, it is clear that
- If ‘A’ can finish a work in ‘n’ days, then
- we have to determine the part of work finished in 1 day.
So
let '
' be the number of days
takes to complete the whole work
Let the whole job be denoted as '
'
Thus, the part of work finished in 1 day will be:

Therefore, If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day will be
.
Keywords: work, word problem
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The formula for volume of a cylinder is:
Volume = PI x r^2 x h, where r is the radius and h is the height.
Volume = PI x 18^2 x 40
Volume = PI x 324 x 40
Volume = PI x 12,960
The exact volume would be 12,960PI cubic ft.
The decimal answer would vary depending on what value of PI is used.
Answer:
960
Step-by-step explanation:
This is a triangular prism. It has 5 faces. Two faces are congruent triangles. The other 3 faces are rectangles.
SA = 2 × ½bh + L₁W₁ + L₂W₂ + L₃W₃
SA = 2 × ½ × 10 in. × 24 in. + 10 in. × 12 in. + 26 in. × 12 in. + 24 in. × 12 in.
SA = 960 in.²