Given the equation of a line of the form: y = mx + c, where m is the slope and c is the y-intercept.
y is the dependent variable while x is the independent variable.
The value c represents the initial value of the situation represented by the line. i.e. the value of the dependent variable (y) when the independent variable (x) is 0.
The value m is the slope and represents the amount with hich the dependent variable increases for each additional increase in the value of the independent variable.
Thus, given the equation: <span>y=11.984x+15.341,
where: y represents the total number of shorts sold each day, and x represents the day’s high temperature in °F.
The slope is 11.984 or approximately 12 and it represents the increase in the number of shorts sold for each additional increase in temperature.
Therefore, </span><span>the slope of the equation represents in context of the situation that '</span><span>The vendors will sell an additional 12 pairs of shorts for every 1° increase in temperature.' (option B)</span>
<span>(x – 8)² + (y – 9)² = 3
(x – 8)² + (y – 9)² = 14
</span>are the correct answers
Given are several terms in a quadratic pattern:
a1 = ?
a2 = 1
a3 = -16
a4 = ?
a5 = -14
let:
x y
1 ?
2 1
3 -16
4 ?
5 -14
considering the 2nd term and 3rd term, we can determine a quadratic function:
y = -17x + 35
therefore,
a1 = 18
a4 = -33
Answer:
Step-by-step explanation:
to find the arithmetic sequence with a4=-1 and a6=-13
first: find the difference: an=a+(n-1)d
a4=-1
that means a1+d(4-1)=-1 ( since a4 given and need to find a1)
a1+3d=-1 first equation
a1+d(6-1)=-13 ( a6 is given)
a1+5d=-13 second equation
a1+3d=-1
a1+5d=-13 ( find a and d by subtraction)
a1+3d-a1-5d=-1-(-13)
2d=12
d=-12/2=-6 ( substitute d in the equation: a1+3d=-1)
difference =-6
a1=17
a1,a2,a3,a4,a5,a6,....
the sequence is : 17,11,5,-1,-7,-13,.....
hope it works
