Answer:
NO
Step-by-step explanation:
We need more than two operations to solve a linear equation . If an equation contains fractions, multiply both sides of the equation by the least common denominator (LCD) to clear fractions.
Answer:
7% and 5%
Step-by-step explanation:
The computation of the two rates of interest is shown below;
The interest rate for $3,000 be x%
And, for $4,500 the interest rate is (x -2%)
The total interest earned is
= x% of $4,500 + (x - 2)% of $4,500
So, the two rates of interest is
x% of $4,500 + (x - 2)% of $4,500 = $435
30x + 45(x - 2) = $435
30x + 45x - 90 = $43
75x = $25
x = 7%
x - 2 = 7 - 2
= 5%
Answer:
147 degrees
Step-by-step explanation:
all the angles of a triangle add up to 180 degrees. so, you must perform the operation 180-(83+64) which equals 33. this is the angle supplementary to angle 1. to find angle 1, you must subtract 180 and 33 since supplementary angles add up to 180 degrees. this is equal to 147 degrees.
See explanation below.
Explanation:
The 'difference between roots and factors of an equation' is not a straightforward question. Let's define both to establish the link between the two..
Assume we have some function of a single variable
x
;
we'll call this
f
(
x
)
Then we can form an equation:
f
(
x
)
=
0
Then the "roots" of this equation are all the values of
x
that satisfy that equation. Remember that these values may be real and/or imaginary.
Now, up to this point we have not assumed anything about
f
x
)
. To consider factors, we now need to assume that
f
(
x
)
=
g
(
x
)
⋅
h
(
x
)
.
That is that
f
(
x
)
factorises into some functions
g
(
x
)
×
h
(
x
)
If we recall our equation:
f
(
x
)
=
0
Then we can now say that either
g
(
x
)
=
0
or
h
(
x
)
=
0
.. and thus show the link between the roots and factors of an equation.
[NB: A simple example of these general principles would be where
f
(
x
)
is a quadratic function that factorises into two linear factors.
