At Harriet Tubman middle school, there are 85 students in the 7th grade . The number of girls is 1 1/2 times the number of boys.
1 answer:
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Answer:
The graph in the attached figure
Step-by-step explanation:
we have
This is a exponential function of the form
where
a is the initial value or the y-intercept
b is the base of the exponential function
If b>1 then is a exponential growth function
If b<1 then is a exponential decay function
In this problem
The y-intercept is equal to
For x=0
The y-intercept is the point (0,1)
so
The value of b is greater than 1
so
Is a growth function
To plot the graph create a table with different values of x and y
For x=-1
f(x)=2^-1=0.5
point (-1,0.5)
For x=1
point (1,2)
For x=2
point (2,4)
For x=3
point (3,8)
For x=4
f(x)=2^4=16
point (4,16)
Plot the y-intercept and the other points and connect them to graph the exponential function
Note that as x increases the value of y increases (exponential growth function)
The graph in the attached figure
x = ±
i
rearrange the equation and equate to zero
2x² - 6x = - 5 ⇒ 2x² - 6x + 5 = 0
this doesn't factor with integers, hence use the quadratic formula to solve
with a = 2, b = - 6 and c = 5
x = (6 ± √(36 - 40 ) )/4
= (6 ± √(-4) ) / 4
= (6 ± 2i ) / 4
x = ±
i