The given line is in point-slope form.
All options are also in point-slope form.
We can read the slope off the point-slope form easily.
The slope is 2.
A perpendicular to that line must have slope -1/2.
Only one line in the options has slope -1/2 and it's option B.
Answer:
Option (A) and (C).
Step-by-step explanation:
Prime polynomial can't be written as a product of lower degree polynomials.
(A)
=8x²-6x-4x-3
=2x(4x-3)-1(4x+3)
Here we can't write the polynomial as a product of lower degree.
Therefore it is a prime polynomial.
(B)
8x²+2x-3
=8x²+6x-4x-3
=2x(4x+3)-1(4x+3)
=(4x+3)(2x-1)
Therefore it is not a prime polynomial.
(C)
8x²-6x-3
Therefore it is a prime polynomial.
(D)
8x²+23x-3
=8x²+24x-x-3
=8x(x+3)-1(x+3)
=(x+3)(8x-1)
Therefore it is not a prime polynomial.
Answer:
Step-by-step explanation:
Four friends go out to lunch together.
For what number of toppings is the price of a personal pizza the same as a calzone?
Let us represent the number of toppings as x
We need to know the price of a personal pizza and the price of a calzone
Mike orders a personal pizza with 2 toppings for $7.00.
2x = $7
x = $7/2
x = $3.50
Dustin orders a personal pizza with 5 toppings for $9.25.
5x = $9.25
x = $9.25/5
x = $1.85
Lucas orders a calzone with 1 topping for $5.75.
x = $5.75
Will orders a calzone with 4 toppings for $8.75.
4x = 8.75
x = 8.75/4
x =2.1875
Lim [f(x + dx) - f(x)]/dx
<span>dx -> 0 </span>
<span>but f(x) = 7and f(x + dx) = 7</span>
<span>lim (7- 7)/dx = 0/dx = 0 </span>
<span>dx -> 0 </span>