Answer:
y=3x-9
Step-by-step explanation:
Hi there!
we are given a point (4,3), and a line (y=-1/3x+4)
Perpendicular lines have slopes that are negative and reciprocal; if they are multiplied together, the result is -1
first, let's find the slope of the new line.
we can find it with this formula: (m=slope)
-1/3m=-1
multiply both sides by -3
m=3
here's our equation so far, written in y=mx+b form, where m is the slope and b is the y intercept
y=3x+b
we need to find b
Because the line passes through the point (4,3), we can use it to find b
substitute x as 4 and y as 3
3=3(4)+b
multiply
3=12+b
-9=b
substitute into the equation
<u>y=3x-9</u>
Hope this helps!
This is a binomial distribution.
p = 0.71, q = 1 - p = 1 - 0.71 = 0.29, n = 20
P(x ≤ 19) =1 - P(x = 20) = 1- 20C20 x (0.71)^(20 - 20) x (0.29)^20 = 1 - 0.29^20 = 1 - 0 = 1
Answer:
Step-by-step explanation:
The answers are:
A) {[(-15+5)×2+8]-32÷8}-(-7)
Calculate within parentheses: -16 - (-7)
Add and subtract (left to right): -16 - (-7) = -9
B) (5-2)³×2+[-4+(-7)]÷(-2+4)²
To solve this problem, you need to follow the steps of order of operations.
Calculate within parentheses: 
* 2 + [-4 + (-7)] ÷ (-2+4)²
Calculate within parentheses: *2 -11 ÷ (-2+4)²
Calculate within parentheses: 27 × 2 - 11 ÷ (-2+4)²
Calculate exponents: 27 × 2 -11 ÷ 4
Multiply and divide: 54 - 11 ÷ 4
Multiply and divide: 54 - 
Add and Subtract: 
Convert improper fractions to mixed numbers: = 
C) {-10-[12+(-3)²] + 3³}+3³}÷(-3)
Calculate within parentheses: -4 ÷ (-3)
Multiply and divide: 
Simplify and convert improper fraction to a mixed number:
= 
= 
Hope this helped! If so, please mark brainliest.
11/9 is the answer of the question
E^2x=(42-12)/3, that is easy
Then, the magic!
Ln(e^2x)=Ln[(42-12)/3]
2x.Ln(e)=Ln[(42-12)/3]. "Ln(e)=1"
X={Ln[(42-12)/3]}/2
Good luck!
M.
