Answer:
<h2> y = 13x - 80 </h2>
{Or, if you mean slope of 1/3: y = ¹/₃x - 4 }
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = 13
(6, -2) ⇒ x₀ = 6, y₀ = -2
The point-slope form of the equation:
y + 2 = 13(x - 6)
So:
y + 2 = 13x - 78 {subtract 2 from both sides}
y = 13x - 80 ← the slope-intercept form of the equation
{Or, if you mean slope of ¹/₃: m = ¹/₃
The point-slope form of the equation: y + 2 = ¹/₃(x - 6)
y + 2 = ¹/₃x - 2 {subtract 2 from both sides}
y = ¹/₃x - 4 ← the slope-intercept form of the equation}
Answer:
y= mx + b
y = 4x +3
Step-by-step explanation:
Answer:idk
Step-by-step explanation:I just got here
The <em><u>correct answers</u></em> are:
B- x + y ≤ 10
; and D- x ≥ 4
Explanation:
The illusionist needs at least 4 female volunteers. This means he could use 4 or more; this means x, the number of female volunteers, is greater than or equal to 4:
x ≥ 4
The total of number of volunteers needed is up to 10. This means the illusionist can use 10 or fewer people; this means the total is less than or equal to 10.
The number of female volunteers is x and the number of male volunteers is y; together they create the expression x+y. This gives us
x+y ≤ 10
Answer:
11
Step-by-step explanation:
The two equations appear to be ...
- 12x +4y = 152
- 32x +12y = 420
These can be solved for y using Cramer's rule:
y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11
The cost of the vegetarian lunch is 11.
_____
<em>Comment on Cramer's Rule</em>
For equations ...
ax +by =c
dx +ey = f
The solutions are ...
x = (bf -ey)/(bd -ea)
y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression
Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.