<u>Answer-</u>
Set of constraints to model the problem are,

<u>Solution-</u>
Let us assume,
x = the number of lawns weeded by Gwen,
y = the number of dogs walked by Fabio.
Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog,

They need at least $510 to purchase the new gaming station, means they need $510 or more than $510.
An equation for this situation will be,

The number of dog walked by Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed, means y must be less than or equal to 2x.
An equation for this situation will be,

Fabio will walk at least 25 dogs, means y must be greater than of equal to 25.
An equation for this situation will be,

1/3= .333333333...
Less then: 1/4 =.25
.25<.33
Greater then : 1/2= .5
.5>.33
Answer:
It can either be rational or irrational
Step-by-step explanation:
Given the quadratic equation ax²+bx+5 = 0, to get the zeros of the function, we will factorize the function to have;
ax²+bx = -5
x(ax+b) = -5
x = -5 and ax+b = -5
From the second function we have;
ax+b = -5
ax = -5-b
x = -5-b/a
This shows that the other value of x can be rational or irrational depending on the values of a and b
7/10,8,10,3/4,3/4 is the answer
Answer:
IJ is 5.8 ft
Step-by-step explanation:
Here, we want to calculate the length of IJ
to Find IJ, we need the appropriate trigonometric ratio
The trigonometric ratio to use in this case is the one that connects the opposite and the adjacent
from the question, IJ is the opposite
This is the side facing the given angle
HI is the hypotenuse which is the side facing the right-angle
HJ is the third side which is the adjacent
Mathematically;
That is the Tan
Tan 71 = IJ/2
IJ = 2 Tan 71
IJ = 5.8