As we go from (-6,6) to (9,1), x increases by 15 and y decreases by 5. Thus, the slope of this line is m = rise / run = -5/15, or m = -1/3.
Point-slope form: y-6 = (-1/3)(x+6), using data from (-6,6).
Slope-intercept form: starting with y = mx + b, substit. -6 for x, 6 for y and -1/3 for m:
6 = (-1/3)(-6) + b, or
6 = 2 + b. Then b = 4, and the equation in slope-intercept form is
y = (-1/3)x + 4.
Answer:
21
Step-by-step explanation:
f(x) = 2x^2 + 3
f(-3) = 2(-3)^2 + 3
f(-3) = 2(9) + 3
f(-3) = 18 + 3
f(-3) = 21
Answer:
6.2+8.7+8.9x
Step-by-step explanation:
For expressions to be equivalent, they must simplify to the same lowest form. 8.9x+6.2+8.7 simplifies to 8.9x +14.9.
Each of the expressions below must simplify to 8.9x + 14.9 to be equivalent.
9x+6+9 = 9x + 15 NO
3.9+6.2+8.7x = 8.7x + 10.1 NO
3.7+8.9+6.2 = 18.8 NO
6.2+8.7+8.9 = 23.8 NO
6.2+8.7+8.9x = 8.9x + 14.9 YES
3.9+6.2x+8.7 = 6.2x + 12.6 NO
3.9x+8.7+6.2 = 3.9x + 14.9 NO
Answer:
x= 1.125
Step-by-step explanation:
first we want to get the variable by itself so divide
just divide 45 by 40
Answer:
228.6
Step-by-step explanation: