Answer:
x=9,-1 and 
Explanation:
We are given the quadratic equation 
, which we then compare with the standard form of a quadratic. The general quadratic is identified as 
. From our given equation, it follows that a=1,b=-8,c=-9
. To calculate the discriminant, we insert these values into the formula 
. Now, to find the value of x
The formula is 
. The resulting equation will be obtained by rewriting the original equation through rearranging 9 to the right side and applying negative signs within brackets to convert the expression into the form of
.
An acute angle measures under 90°. An angle bisector is a ray that divides an angle into two equal neighboring angles. For example, if you have an angle of 270°, which exceeds a semicircle, it divides into two angles of 135° each. In this instance, the resulting angles are not acute; rather, they are obtuse.
P(S) = Probability of Smash = 0.05 (5%)
P(M) = Probability of Modest = 0.5 (50%)
P(F) = Probability of Flop = 0.45 (45%)
Based on this, we utilize the model for discrete random variables, leading to:
E(X) = (0.05 * 5.2) + (0.5 * 0.9) + (0.45 * 0)
= 0.26 + 0.45 + 0
= 0.71 Mill'
The translation rule can be expressed as T -3,1(x,y). The translation can also be indicated as (x,y)➡️(x-3,y+1).
Response:
The correct choice is option C
The proportion of green marbles to red marbles is 3: 1
Step-by-step breakdown:
According to the problem statement:
A bag holds 44 marbles, comprising both red and green ones.
⇒Total marbles = 44
If it includes 11 red marbles.
Then;
Green marbles = Total marbles - red marbles.
By substituting the values provided,
Green marbles = 44 - 11 = 33
We are tasked with determining the ratio of green marbles to red marbles.
Consequently, the ratio of green to red marbles is 3: 1
