Answer:
y = 4x + 6
Step-by-step explanation:
Turn the equation we are given into slope-intercept form.
y - 5 = -1/4(x + 8)
y - 5 = -1/4x - 2
y = -1/4x + 3
The slope of a perpendicular line is the opposite reciprocal of the original line.
-1/4 -> 4/1 -> 4
Find the new y-intercept using the point given.
y = 4x + b
2 = 4(-1) + b
2 = -4 + b
6 = b
Fill in everything we solved for.
y = 4x + 6
Best of Luck!
Let x be the lengths of the steel rods and X ~ N (108.7, 0.6)
To get the probability of less than 109.1 cm, the solution is computed by:
z (109.1) = (X-mean)/standard dev
= 109.1 – 108/ 0.6
= 1.1/0.6
=1.83333, look this up in the z table.
P(x < 109.1) = P(z < 1.8333) = 0.97 or 97%
Answer:
The discount will take the total down to 71.00$
Step-by-step explanation:
i think this is the answer im not for sure but i hope this helps you :)
Step-by-step explanation:
1.5/4x-1=0.4/x+4
We move all terms to the left:
1.5/4x-1-(0.4/x+4)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: x+4)!=0
x∈R
We get rid of parentheses
1.5/4x-0.4/x-4-1=0
We calculate fractions
(1.5x)/4x^2+(-0.4*4x)/4x^2-4-1=0
We add all the numbers together, and all the variables
(+1.5x)/4x^2+(-0.4*4x)/4x^2-4-1=0
We add all the numbers together, and all the variables
(+1.5x)/4x^2+(-0.4*4x)/4x^2-5=0
We multiply all the terms by the denominator
(+1.5x)+(-0.4*4x)-5*4x^2=0
Wy multiply elements
-20x^2+(+1.5x)+(-0.4*4x)=0
We get rid of parentheses
-20x^2+1.5x-0.4*4x=0
