K, so, lets add them up
1+2=3
1+2+3=6
1+2+3+4=10
1+2+3+4+5=15
1+2+3+4+5+6=21
1+2+3+4+5+6+7=28
etc
basically
all numbers 'x' such that
x=
and n is the set of all natural numbers
Find slope
slope betwen 2 points (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
so
first make denoms same
denom is 10
(4/5,1/5) turns to (8/10,2/10)
(1/2,3/2) turns to (5/10,15/10)
slope=(15/10-2/10)/(5/10-8/10)=(13/10)/(-3/10)=13/-3=-13/3
use point slope
use (4/5,1/5)
y-y1=m(x-x1)
a point is (x1,y1) and slope is m
y-1/5=-13/3(x-4/5)
expand
wait, we don't need to do that, the only one with slope -13/3 is D
answer is D
Answer:
f(-3) = 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x + 7
f(-3) is x = -3
<u>Step 2: Evaluate</u>
- Substitute: f(-3) = 2(-3) + 7
- Multiply: f(-3) = -6 + 7
- Add: f(-3) = 1
Answer: 216 cupcakes can be made
Step-by-step explanation:
<u>Given information</u>
36 pounds of dough in total
⅙ pound of dough per cupcake
<u>Set variables</u>
Let x be the number of cupcakes that could be made
<u>Set equations from given information</u>
Total = unit × number
36 = (1/6) × x
<u>Multiply 6 on both sides to isolate [x] variable</u>
36 × 6 = (1/6) × x × 6
216 = 1 × x
Hope this helps!! :)
Please let me know if you have any questions
Selection C is appropriate.
_____
The change in x for the offered points is -6, -2, 16, 20, so the slope of 1/2 will make the change in y be -3, -1, 8, 10. When added to 5, these values are 2, 4, 13, 15. Only 13 matches the second coordinate of the given answer, so only (9, 13) will be a point on the line.
