Find all the zeros of the polynomial, and arrange the zeros in increasing order. ...
Plot those numbers on the number line as open or closed points based upon the original inequality symbol.
Choose a test value in each interval to see if the interval satisfies the inequality or not.
Let us assume the cost of a soft drink = x dollars
Value of the gift certificate that Angela had = $5
Cost of the movie ticket = $10
Cost of a medium popcorn = $5.50
Then
27.90 + 5 = 2(10) + 2(5.50) + x
32.90 = 20 + 11 + x
32.90 = 31 + x
x = 1.90 dollars
From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the first option or $1.90.
Binomial 
when added to polynomial 
gives polynomial that does not contain the variable y .
<h3>What is binomial?</h3>
A mathematical expression consisting of two terms connected by a plus sign or minus sign .
Example: x + 2 is a binomial, where x and 2 are two separate terms.
<h3>What is polynomial?</h3>
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer
According to the question
polynomial
when added with
= 
(as 
got cancelled )
that does not contain the variable y
Hence, Binomial when added to polynomial gives that does not contain the variable y .
To know more about Binomial and polynomial here :
brainly.com/question/1698358
# SPJ2
Answer:
cosjk = √55 i/3
tanjk = 8/√55 i
Step-by-step explanation:
Given
sin jk = 8/3
According to SOH CAH TOA
Sin theta = opposite/hypotenuse = 8/3
Opposite = 8
hypotenuse = 3
Get the adjacent using the pythagoras theorem
hyp² = opp²+adj²
adj² = hyp² - opp²
adj² = 3² - 8²
adj² = 9-64
adj² = -55
adj = √-55
adj = √55 i (i = √-1)
Get cosjk
cosjk = adj/hyp
cosjk = √55 i/3
Get tanjk
tanjk = opp/adj
tanjk = 8/√55 i
Answer:
Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99
Step-by-step explanation:
Cost of k key chain=$2.49
Cost of p photo frames=$2.49
Cost of a T-shirt=$5.99
Total cost of all items=cost of k key chain + cost of p photo frame + cost of The shirt
=2.49k + 2.49p + 5.99
Factorise
2.49 is common to both k and p
=2.49(k + p) + 5.99
Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99
