Answer:
Yes
Step-by-step explanation:
There are 3 triangles for both 1 and 3 and 12 triangles in total.
The chance of getting 1 is 3/12 and the chance of getting 3 is 3/12
Since 3/12 = 3/12 then the chances are equal.
Let's convert the word descriptions into mathematical equations first for illustration.
f(x) = x^2 - x - 12
g(x) = -2.5x - 2
Then, we equate g(x) and f(x). The final equation becomes
x^2 - x - 12 = -2.5x - 2
Then, we simplify by transposing and combining like terms.
x^2 - x + 2.5x -12 + 2 = 0
x^2 + 1.5x - 10 = 0
Since this is a quadratic equation, we find the roots by using the quadratic formula
where a = 1, b = 1.5 and c=-10
Thus, the answer is x = 2.5, -4.
Answer:
(−4, −8), because the point satisfies both equations
Step-by-step explanation:
Line A
y = x - 4
Line B
y = 3x + 4
If we equate those 2 equations
x - 4 = 3x + 4
2x = -8
x = -4
y = -8
<span>52 1/2 inches. Draw a vertical line up from the 20 week marker and where that line intersects the slanted red line and. Then take a straight edge and draw a line parallel to the "week" line on the bottom of the graph from the intersection to intersect the height line. Where the second line crosses the height line that number is the height of the plant at 20 weeks.</span>
Answer:
- 2
+ 5x² - 2x + 4
Step-by-step explanation:
A polynomial in standard form has the leading term( first term) of the term with the largest exponent.
Other terms then follow in descending powers.
Given
5x² - 2 + 4 - 2x
The term with the largest exponent is - 2 ← becomes first term
Thus the polynomial can be expressed as
- 2 + 5x² - 2x + 4 ← in standard form
