This is the last question on my
the cost of a cheese pizza is $9.99 plus $0.35 for each additional topping, t.
write an inequality that can be used to represent the cost of a pizza that is at most $12.
what is the most number of toppings that a pizza can have and still be at most $12?

answer:

at most there can be 5 toppings on the pizza.

step-by-step explanation:

first, we need to create our inequality.

we know that 9.99 is the static price, while 0.35 changes with the amount of toppings. this means that 0.35 must be accompianied by a t. next, we need to decide what kind of sign that we need. in this case, it needs to be at most 12. this means that it must be less than or equal to 12, so we will use the sign .

knowing all of this, we can create our inequality

now that we have our inequality, we can solve for t.

we need to keep in mind that we cannot have a decimal value for the number of toppings. this means that we have to round down to 5 toppings.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

step-by-step explanation:

first you will have to convert 3/4 into a decimal

which is .75

then you will have to divide 1.5 by .75

which is 2

no you have to divide