Answer:
what is it
Step-by-step explanation:
Answer:
x<6
Step-by-step explanation:
96 > 4((5x - 6)
96 > 20x - 24
96+24>20x
120>20x
6>x
Or x<6
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
Kimtoya is riding according to the equation y = 12.5x, which is in slope-intercept form where the slope is 12.5, so her rate is 12.5.
now, Sidney's rate... hmmm we don't know, but we have her table ahaa!, well, let's use that to get the slope or rate for Sydney let's pick two points from it hmmm say (2 , 25) and hmmm (5 , 62.5)
![(\stackrel{x_1}{2}~,~\stackrel{y_1}{25})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{62.5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{62.5}-\stackrel{y1}{25}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{2}}}\implies \cfrac{37.5}{3}\implies 12.5](https://tex.z-dn.net/?f=%28%5Cstackrel%7Bx_1%7D%7B2%7D~%2C~%5Cstackrel%7By_1%7D%7B25%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B5%7D~%2C~%5Cstackrel%7By_2%7D%7B62.5%7D%29%20~%5Chfill%20%5Cstackrel%7Bslope%7D%7Bm%7D%5Cimplies%20%5Ccfrac%7B%5Cstackrel%7Brise%7D%20%7B%5Cstackrel%7By_2%7D%7B62.5%7D-%5Cstackrel%7By1%7D%7B25%7D%7D%7D%7B%5Cunderset%7Brun%7D%20%7B%5Cunderset%7Bx_2%7D%7B5%7D-%5Cunderset%7Bx_1%7D%7B2%7D%7D%7D%5Cimplies%20%5Ccfrac%7B37.5%7D%7B3%7D%5Cimplies%2012.5)
holy molly!, whaddaya know, they're both riding at the same rate, 12.5 km/hr
14:1,2,7,14
8:1,2,4,8
The greatest common factor is 2!
Hope I helped! :-)
Step-by-step explanation:
One interior angle of a triangle = 30⁰ .
The measure of other two are x and y .
We know that the angle sum property of a triangle is 180⁰ .
=> x + y + 30⁰ = 180⁰
=> x + y = 180⁰ - 30⁰.
=> x + y = 150⁰.
Possible solution set of x and y are ,
(1,149) (2,148 ) ...... (148+2) & (149+1)
Basically we are here decreasing y and increasing x to obtain the values .
Hope it helped !