(2,5)(1,3)
slope(m) = (3 - 5) / (1 - 2) = -2/-1 = 2 (2 units up, one unit to the right)
y - y1 = m(x - x1)....using (1,3)
y - 3 = 2(x - 1)....talia's last step is incorrect because she didn't sub in her slope of 2
Answer:
-0.5, 2, 4.5, 7, 9.5
Step-by-step explanation:
The given terms are 6 apart, so the common difference is 1/6 of their difference:
d = (12 -(-3))/6 = 15/6 = 5/2 = 2.5
Add 2.5 to each term to get the next one. Then the sequence is ...
-3, <u>-0.5</u>, <u>2.0</u>, <u>4.5</u>, <u>7.0</u>, <u>9.5</u>, 12
Answer:
0.08 cubic feet.
Step-by-step explanation:
You have a small marble statue of Mozart that is 10 inches tall and is made of 16 cu. inches of marble.
The original statue in Vienna is 7 feet tall.
First we will convert this to inches as one relation is given in inches.
1 feet = 12 inches
7 feet =
inches
Let the amount of marble used for 84 inches statue be = x
We can relate both the conditions in the following way:


x = 134.40 cubic inches
Now, 1 cubic inch =
cubic foot
So, 134.40 cubic inches =
cubic foot
= 0.0777 cubic feet rounding to 0.08 cubic feet.
Important: Please use " ^ " to indicate exponentiation:
<span>"f(x) =x^2 to the number of x-intercepts in the graph of g(x) = x^2 +2."
Notes: the graph of f(x) = x^2 is a vertical parabola that opens up. It has its vertex at (0,0). This is the only point at which f(x)=x^2 has a horiz. intercept.
g(x) = x^2 + 2 has a graph that looks the same as that of f(x) = x^2, EXCEPT that the whole graph is moved 2 units UP. This new graph never touches or intersects the x-axis. Therefore, g(x) has NO horiz. intercepts (no x-int.).
</span>
Answer:
is a polynomial
Step-by-step explanation:
Given : polynomials
and
Solution:




Polynomial :An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable.
Thus
is a polynomial
Hence option A is correct.