the first one is x^2 + 6x + 34
the second one is x^2 - 12x + 37
the third one is x^2 + 16
Graphs aren't mandatory, but they may help visual learners see why an equation works a certain way. Also, they are a visual tool to quickly find a solution to a problem. Furthermore, they help with presentations to quickly convey an idea to someone (who may not be well versed in mathematics).
For example, if you save $10 a week and already have $50 in a savings account, then the equation you graph is y = 10x+50. Here x is the number of weeks and y is the amount saved.
Now let's say you want to find out how many weeks it would take to have $90 total. You could use guess and check to get the answer. Or you could use algebra and the substitution property. The visual way would be to graph y = 10x+50 and y = 90 together to note how the two lines intersect at (4, 90) to indicate it will take x = 4 weeks to have y = 90 total.
Answer:
x<-5
Step-by-step explanation:
-4x>20
x>20/-4
x>-5
x<-5
Answer:
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes
<u>Given line</u>
<u>In slope-intercept form it is</u>
- - x + 7y = 42
- 7y = x + 42
- y = 1/7x + 6
<u>Perpendicular line has slope - 1/(1/7) = - 7 and its equation is:</u>
<u>Finding b using the point (-2, -1)</u>
- -1 = -7(-2) + b
- -1 = 14 + b
- b = -1 - 14
- b = -15
<u>So the line is</u>