20/28 = 5/7
Step-by-step explanation:
Step 1 :
Total number of students in the algebra class is 28
Given that the number of students who play neither sport = 8
Step 2 :
Probability that a student randomly chosen does not play any sport is obtained by number of students who play neither sport/ total number of students
Hence probability is 8/28
Step 3 :
The probability that a student randomly chosen plays either basketball or base ball = 1 - 8/28 = 20/28 = 5/7
Answer:
p = 95
q = 95
r = 85
s = 85
Step-by-step explanation:
85 deg & p are same-side int angles & are supplementary.
p = 180 - 85 = 95
p & q are vertical & congruent.
q = 95
p & s are supplenmentary.
s = 85
s & r are alt int angles & congruent.
r = 85
Answer:
To graph the equation, you need to find the slope and y-intercept.
y = mx + b
⬑<em>[slope-intercept formula; m is the slope, and b is the y-intercept]</em>
y = 4x + −1
⬑<em>[given equation before being simplified]</em>
y = 4x − 1
⬑<em>[given equation]</em>
║m = 4
║b = (0, −1)
Proof:
m =
= 
x₁ = 0
x₂ = 1
y₁ = −1
y₂ = 3
m = 
║m = 4
║b = (0, −1)
<em>[the value for x₁ and y₁ equals the </em><em>y-intercept: (0, </em>−<em>1)</em><em>]</em>
Graph:
If you would like to calculate (3 * x + 2)^2 - (2 * x - 1)^2, you can do this using the following steps:
(3 * x + 2)^2 - (2 * x - 1)^2 =
9 * x^2 + 12 * x + 4 - (4 * x^2 - 4 * x + 1) =
9 * x^2 + 12 * x + 4 - 4 * x^2 + 4 * x - 1 =
5 * x^2 + 16 * x + 3
The result is 5 * x^2 + 16 * x + 3.