Answer:
a = 15 when b = 9
Step-by-step explanation:
3 a plus b equals 54 in symbolic terms is 3a + b = 54.
Now, if b = 9, 3a + b = 54 becomes 3a + 9 = 54.
Subtracting 9 from both sides yields an equation for 3a:
3a = 45
Dividing both sides by 3 yields a = 15 when b = 9
Answer:
In mathematics, a polynomial is an expression consisting of variables and coefficients which only employs the operations of addition, subtraction, multiplication, and non-negative integer exponents. An example of a polynomial of a single variable x is x² − 4x + 7. An example in three variables is x³ + 2xyz² − yz + 1.
Step-by-step explanation:
In mathematics, a polynomial is an expression consisting of variables and coefficients which only employs the operations of addition, subtraction, multiplication, and non-negative integer exponents. An example of a polynomial of a single variable x is x² − 4x + 7. An example in three variables is x³ + 2xyz² − yz + 1.
Answer:
The number of hours a student should spend on their homework to expect a score of 82 on the quiz.
Step-by-step explanation: your welcome.
Answer:
y = -5x/3 + 18
Step-by-step explanation:
The points can be written as;
(x,f(x))
where f(x) is same as y
So the points we have are;
(6,8) and (9,3)
We start by finding the slope or the line connecting the points
m = y2-y1/x2-x1 = (3-8)/(9-6) = -5/3
So now we have the general form of a linear equation as
y = mx + b
where m is slope and b is y intercept
We already have slope and we want to calculate y-intercept
Simply substitute one of the points
(9,3) in this case
9 for x and 3 for y
we have ;
y = -5x/3 + c
3 = -15 + c
c = 18
So the line equation is;
y = -5x/3 + 18
Keep in mind that the graph counts in twos.
The factored form of the polynomial deals with the zeros in the graph. Identify the zeros in the graph:
Zeros at:
x = -4, (-4,0)
x = 4, (4,0)
Both values must be inputted into the answer and result in an output of 0, so the answer will be
C. (x+4)(x-4).
Proof:
x = 4:

x = -4
