MODELING WITH MATHEMATICS Sam’s Furniture Store places the following advertisement in the local newspaper. A figure shows an advertisement of Sam’s furniture. It shows three different sofas with their price. The price of sofa and love seat is 1300 dollars, sofa and two chairs is 1400 dollars, sofa, love seat, and one chair is 1600 dollars. Write a system of equations for the three combinations of furniture. Let $S$ represent the cost of a sofa, let $L$ represent the cost of a love seat, and let $C$ represent the cost of a chair. $=1300$ $=1400$ $=1600$ What is the price of each piece of furniture? A sofa costs $ , a love seat costs $ , and a chair costs $ .

the correct answer is

c. 4

step-by-step explanation:

the given polynomial is

the degree of the polynomial is the highest exponent which is 4.

the -4 is called the leading coefficient.

this polynomial has only one term so it is a monomial.

the correct answer is option c.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

answer: 12

step-by-step explanation:

because yes

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1