The quadratic formula is:
and
In this case, a = 2, b = -3, and c = -7
So, we can plug in the numbers to get:
and
Simplifying, we get:
and
You need to use a calculator to find what these would be in decimal form. The answer, rounded to the nearest tenth, is: x = 2.8, x = -1.3
They are the same slope
they are negative inversees (they multily to get -1)
2
-1/2
use the square viewer (on TI)
The relationship between the slopes of two lines that are parallel is they are the same.
The relationship between the slopes of two lines that are perpendicular is they are negative inverses of each other (they multiply to -1).
A line that is parallel to a line whose slope is 2 has slope 2.
A line that is perpendicular to a line whose slope is 2 has slope -1/2.
What must be done to make the graphs of two perpendicular lines appear
to intersect at right angles when they are graphed using a graphing
utility?
Similar Polygons
Similar polygons are polygons whose corresponding angles are congruent and their corresponding sides are proportional. In other words, Polygons that have the same shape but not necessarily the same size are called similar polygons.
Step-by-step explanation:
f(x) = 4x + 1
g(x) = x² - 5
(f+g)(x) = f(x) + g(x)
= (4x + 1) + (x² - 5)
= x² + 4x + (1 - 5)
= x² + 4x - 4
Option → C
Answer:
a.2nd quarter with 9 goals
b. 4.8 goals
c. 4 goals
Step-by-step explanation:
a. The mode is defined as the most appearing data point or the data point with the highest frequency..
From our data(for away goals):
- 1st quarter-2
- 2nd quarter-9
- 3rd quarter-7
- 4th quarter-4
Hence, the 2nd quarter has the mode for away goals with 9 goals.
b. Mean is defined as the average of a set of data points.
#We calculate the totals goals per quarter, sum over all quarters then divide by the number of games, 10:
Hence, the mean number of goals per quarter is 4.8 goals
c. To find the number of more home goals than away goals, we subtract from their summations as:
Hence, there are 4 more home goals than away goals.