Answer:
Step-by-step explanation:
1 in is 35 feet
1.25 * 35= 43.75 feet
Answer:
The original Slope is y=-1/3x-2
The perpendicular slope would be y=3x+b
Step-by-step explanation:
Original Slope:
You already have the y-interecpet, (0,-2), and you know two points (0,-2) and (-6,0), so you can find the slope with (y1-y2)/(x1-x2) so in this case, it would be (0-(-2))/(-6-0)= -1/3 and you can find y=1/3x-2.
Perpendicular Slope:
The slope of any perpendicular line would be the reciprocal of the original. So the reciprocal of -1/3 is 3. The b can be any real number because no matter the y-intercept the slope would still be perpendicular
Answer:
an = 5n -7
Step-by-step explanation:
Try the offered formulas with n= 1 and see which gives you the first term of the sequence.
<u>an = -2n +3</u>
-2(1) +3 = 1 . . . . not -2
<u>an = -2n +7</u>
-2(1) +7 = 5 . . . . not -2
<u>an = 5n +3</u>
5(1) +3 = 8 . . . . not -2
<u>an = 5n -7</u>
5(1) -7 = -2 . . . . this is the formula you want
_____
If you recognize the common difference of the sequence to be 5, then you can automatically eliminate any formulas that don't contain 5n.
Answer: x-4 ≥12
Step-by-step explanation:
Hi, to answer this question we have to know what an inequality and a variable are:
Inequality: An inequality is a expression that compares two values, showing if one is less than, greater than, or simply not equal to another value.
Variable: is a symbol for a number that is unknown: they usually are letters (x;y).
An inequality that contains at least one variable could be:
x-4 ≥12
Answer:
The answer to your question is 108 guests.
Step-by-step explanation:
Data
Budget = $5676
She has spent = $2652
price per guest = $28
number of guests = x
Process
1.- Determine the quantity of money available.
Money available = 5676 - 2652
= $3024
2.- Divide the money available by the price per guest
Number of guests = $3024/$28
Number of guests = 108
3.- Conclusion
She can invite at most 108 guests
