Which set of points contains the solutions to the inequality y ≥ 1⁄4x + 5?
1 answer:
Answer:
B. {(4,6), (8,8), (–3,6)}
Step-by-step explanation:
You can graph the equation and plot the points, or you can try the points algebraically. For the latter, it is convenient to rearrange the inequality a bit.
y ≥ 1/4x + 5 . . . . . given
4y ≥ x + 20 . . . . . multiply by 4
You can use this form, or you can subtract x to get ...
4y -x ≥ 20
Trying the offered points, we want 4y-x to be at least 20. We get ...
A: 4(-17) -(-3) = -65 . . . . less than 20
B: 4(6)-4 = 20 . . . a solution
4(8) -8 = 24 . . . a solution
4(6)-(-3) = 27 . . . a solution . . . . set B contains solutions to the inequality
C: 4(4)+3 = 19 . . . . less than 20
D: 4(-1)-(-2) = -2 . . . . less than 20
You might be interested in
<u>Answer: </u>
If a rug was 5 times as long as this record sheet. The length of this record sheet in centimeters is 100x centimeter
<u>Solution: </u>
Given that a rug was 5 times than the record sheet.
Let assume the length of the record sheet = x units
Then from given information,
Length of the rug = 5x units
Conversion of measure of record sheet in centimeter completely depends upon in which unit the length is given.
Suppose the given length is in meters, than need to multiply the given length by 100 to get the length in centimeter that is
x meter = = 100x cm
Conversion factor will change accordingly to the unit of given length which needs to be convert into centimeter.
Answer:
first option
Step-by-step explanation:
Given
f(x) = ← factorise the numerator
= ← cancel (x + 4) on numerator/ denominator
= 2x - 3
Cancelling (x + 4) creates a discontinuity ( a hole ) at x + 4 = 0, that is
x = - 4
Substitute x = - 4 into the simplified f(x) for y- coordinate
f(- 4) = 2(- 4) - 3 = - 8 - 3 = - 11
The discontinuity occurs at (- 4, - 11 )
To obtain the zero let f(x) = 0, that is
2x - 3 = 0 ⇒ 2x = 3 ⇒ x =
There is a zero at ( , 0 )
Thus
discontinuity at (- 4, - 11 ), zero at ( , 0 )