Answer:
y=-2x+2
Step-by-step explanation:
If you bring the 4x to the other side by subtracting it, you will have 2y=-4x+8
then divide by the 2 to get y=-2x=4
then you substitute the 5 in for y and the -1 in for x. multiply and then subtract
Answer:
a. Yes
b. Yes
c. Yes
d. Degree 8
Step-by-step explanation:
a. Yes, n(x) is a polynomial of one single term (also called monomial) because it contains variables raised to positive integers.
b. Yes, m(x) is a polynomial of also one single term (also called monomial) because it contains variables raised to positive integers.
c. The quotient of n(x) / m(x) can be reduced to a polynomial of one single term as follows:

which as can be seen, also contains variables raised to positive integers.
d. The degree of the polynomial resultant is the addition of the powers of all variables present (x and y) which results in: 2 + 6 = 8
Therefore the degree of this polynomial is 8.
What is the probability that it also rained that day answer 0.3
Given :
Challenge given is to volunteer for about 1 1/2 hours per week .
Autum did at a rate of 6 3/4 hours per week .
To Find :
The comparison ( ratio ) her volunteers rate with the challenge rate .
Solution :
Simplifying challenge rate in in normal fraction ,
.
Also , simplifying her rate ,
.
Now , ratio of his work by challenge is :

Therefore , the ratio is 9/2 or 4 1/2 .
Hence , this is the required solution .
Answer:
diameter of the pizza = 21.88 centimeters
Step-by-step explanation:
Given:
C = d^2 – 2d + 447
where
C = cost of the pizza
d = diameter of the pizza
If the pizza costs $12.00, then what is a reasonable estimate for the diameter of the pizza?
12 = d^2 – 2d + 447
d^2 - 2d = 447 - 12
d^2 - 2d = 435
d^2 - 2d - 435 = 0
Solve the quadratic equation using formula
a = 1
b = -2
c = -435
d = -b +or- √b^2 - 4ac / 2a
= -(-2) +or- √(-2)^2 - (4)(1)(-435) / 2(1)
= 2 +or- √4 - (-1740) / 2
= 2 +or- √4 + 1740 / 2
= 2 +or- √1744 / 2
= 2 +or- 4√109 / 2
= 2/2 +or- 4√109/2
= 1 +or- 2√109
d = 1 + 2√109 or d = 1 - 2√109
= 1 + 2(10.44) or d = 1 - 2(10.44)
= 1 + 20.88 or d = 1 - 20.88
d = 21.88 or -19.88
diameter of the pizza = 21.88 centimeters
Therefore, the estimated diameter of the pizza can not be negative. So, diameter of the pizza = 21.88 cm