Step-by-step explanation:
(f-g)(x) = (-12x³+19x²-5)-(7x²+15)
= -12x³+19x²-5 - 7x²-15
= -12x³+12x²-20
option B
Answers:
x = 5
y = -5
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Work Shown:
3x + 2y - 5 = 0
3(y+10) + 2y - 5 = 0 ... replace x with y+10
3y+30+2y-5 = 0 .... distribute
5y+25 = 0
5y = -25 .... subtract 25 from both sides
y = -25/5 .... divide both sides by 5
y = -5
Use this y value to find x
x = y+10
x = -5+10
x = 5
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As a way to check, plug these x and y values into the first equation
3x + 2y - 5 = 0
3(5) + 2(-5) - 5 = 0
15 - 10 - 5 = 0
5 - 5 = 0
0 = 0
This confirms the first equation and helps confirm our answers.
Answer:
-3
Step-by-step explanation:
Slope is rise over run or the change in y over change in x. So to find the slope count the difference from one point to the next, for example (0,4) and (1,1). In this case, the y-value decreases by 3, so -3, and the x-value increases by 1, so +1. Which would be -3/1 or just -3. One way to visually check is to remember that slopes less than -1 or greater than 1 make the line steeper and negative slopes make the graph decrease from left to right.
