Which equation shows a slope of -5 and a y-intercept of (0,1) ?
1 answer:
Answer:
The equation that represents a slope of -5 and y-intercept of (0,1) is:
Step-by-step explanation:
The equation of a line can be described by a first order equation in the following format:
In which a is the slope of the line and b is the y-intercept.
Solution:
The problem states that the slope is -5, so:
y intercept is (0,1), so
The equation that represents a slope of -5 and y-intercept of (0,1) is:
Why the others are wrong?
Here, the slope is -1, and the y-intercept is (0,-5).
For this option, the slope is 1 and the y-intercept is (0,-5).
Is it 5x - 1? If so, the slope is 5, and the y-intercept is (0,-1).
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Answer:
Option B width = 5 feet and length = 12 feet
The solution in the attached figure
Step-by-step explanation:
The options of the questions are
Which combination of width and length will meet Quinn’s requirements for the pen?
A. width = 7 feet and length = 20 feet
B. width = 5 feet and length = 12 feet
C. width = 15 feet and length = 10 feet
D. width = 11 feet and length = 15 feet
Let
x -----> the length of the enclosed pen in feet
y-----> the width of the enclosed pen in feet
we know that
The perimeter is equal to
In this problem
Simplify
----> inequality A
---> inequality B
using a graphing tool
The solution is the triangular shaded area
see the attached figure N 1
Remember that
The values of x and y cannot be a negative number
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality
<u><em>Verify each case</em></u>
case A) width = 7 feet and length = 20 feet
so
For y=7, x=20
<em>Check inequality A</em>
----> is not true
therefore
This combination of width and length will not meet Quinn’s requirements for the pen
case B) width = 5 feet and length = 12 feet
so
For y=5, x=12
<em>Check inequality A</em>
----> is true
<em>Check inequality B</em>
-----> is true
therefore
<u><em>This combination of width and length will meet Quinn’s requirements for the pen </em></u>
case C) width = 15 feet and length = 10 feet
so
For y=15, x=10
<em>Check inequality A</em>
----> is true
<em>Check inequality B</em>
-----> is not true
therefore
This combination of width and length will not meet Quinn’s requirements for the pen
case D) width = 11 feet and length = 15 feet
so
For y=11, x=15
<em>Check inequality A</em>
----> is not true
therefore
This combination of width and length will not meet Quinn’s requirements for the pen
Note If the ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area
see the attached figure N 2 to better understand the problem
