Answer:
Step-by-step explanation:
Given
Required
Write the variables and constants on different sides
Add 2x to both sides
Add 5 to both sides
Hence, the equation is
Solving further [divide both sides by 5]
Given f(x) = 3x+9 and g(x) = 5x-1, find f(g(x)).
1 answer:
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28 teachers prefer mint.
Step-by-step explanation:
Given,
Total number of teachers = 98
Ratio of teacher that prefer rocky road to mint = 5:2
Let,
x be the original number.
Teachers who like rocky road = 5x
Teachers who like mint = 2x
Dividing both sides by 7
Teachers who prefer mint = 2x = 2(14) = 28
28 teachers prefer mint.
Keywords: ratio, division
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The equation of the line can be shown using the slope intercept form that is
y= mx+b
where m is the slope and b is the y intercept
So firstly we have to find the value of slope m
To find the value of slope m we apply the formula
So we can plug the values using the two given points
(-0.5,0.75) and (0.75,-0.5)
So m = -1
Plug m=-1 in the equation we get
y= -1x +b
Now we have to find the value of b
to find the value of b , we plug any one pint in the equation
0.75 = -1(-0.5) +b
0.75 = 0.5 +b
Subtract 0.5 from both sides
0.25 = b
or
b= 0.25
Now plug the value of b , in the equation
we get
y = -1x +0.25
hence the equation of the line is y = -1x +0.25