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1 answer:
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Answer:
Option A is correct.
is the equation represent the point slope form gives the plant's height at any time.
Step-by-step explanation:
Point slope intercept form: For any two points and
then,
the general form
for linear equations; where m is the slope given by:
Consider any two points from the table;
let A= (2 , 16) and B =(4, 32)
First calculate the slope of the line AB:
= 8
Therefore, slope of the line m = 8
Then,
the equation of line is:
Substitute the value of m=8 and (2, 16) above we get;
Therefore, the equation in point slope form which gives the plant's height at any time is; , where x is the time(months) and y is the plant height (cm)
X^2+16-38=0
find what 2 numbers multiply to get -38 and add to get 16
find factors of 38
2 times 19
there is no way to use common factor so use quadratic formula which is
x=
or x=
ax^2+bx+c=0 subsitte
a=1
b=16
c=-38
subsitute
=
= 
= 
=
so the answers for x are and 
which are aprox -2.099504938362 and +18.099504938362
so it would be
(x-[-8+√102])(x+[8+√102])=0
find what 2 numbers multiply to get -38 and add to get 16
find factors of 38
2 times 19
there is no way to use common factor so use quadratic formula which is
x=
ax^2+bx+c=0 subsitte
a=1
b=16
c=-38
subsitute
so the answers for x are
so it would be
(x-[-8+√102])(x+[8+√102])=0