QUESTION → 
Start by subtracting 3 from both sides to get
.
Now multiply both sides by the reciprocal of 3/2, which is 2/3.
On the left, we have x, and on the right, -3(2/3) is -2.
So we have x = -2.
Answer:
first option
Step-by-step explanation:
Given
f(x) =
← factorise the numerator
=
← cancel (x + 4) on numerator/ denominator
= 2x - 3
Cancelling (x + 4) creates a discontinuity ( a hole ) at x + 4 = 0, that is
x = - 4
Substitute x = - 4 into the simplified f(x) for y- coordinate
f(- 4) = 2(- 4) - 3 = - 8 - 3 = - 11
The discontinuity occurs at (- 4, - 11 )
To obtain the zero let f(x) = 0, that is
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 
There is a zero at (
, 0 )
Thus
discontinuity at (- 4, - 11 ), zero at (
, 0 )
Answer:
The cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.
Step-by-step explanation:
Let each pound of trail mix cost
dollars and each pound of jelly beans cost
dollars.
Given:
7 pounds of trail mix and 9 pounds of jelly beans cost $ 37.
So,
--------------- 1
Also, 5 pounds of trail mix and 3 pounds of jelly beans cost $ 17.
So,
--------------- 2
Multiplying equation 2 by -3, we get

Now, adding equations 1 and 3, we get

Now, plug in
in equation 1 and solve for
.

Therefore, the cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.
10y^2 - 23y + 12 = 10y^2 - 15y - 8y + 12 = 5y(2y - 3) - 4(2y - 3) = (5y - 4)(2y - 3)