(8,5); perpendicular to 2x - y = 7

brainliest plzzz

Step-by-step explanation:

2x - y = 7 is in standard form, and if it were slope-intercept form that would help you. I got the y term by itself:

y = 2x - 7 slope-intercept form. You already know the slope of the perpendicular line is the *negative reciprocal* of the slope you have. So that's (-1/2). The perpendicular line is something like

y = -(1/2)x + b and if you substitute 8 for x and 5 for y you get 9 for b.

y = -(1/2)x + 9 is your perpendicular line. In slope-intercept form. To get back to standard form, start by getting rid of fractions. Multiply both sides by 2.

2y = -x + 18 then add x to both sides.

x + 2y = 18 done.

a) 40 more; b) old factory:   10%, new factory:   16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.  

using the function, substituting 0 in for w,

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate.   the equation for the old factory is ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1.   this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337.   this is the first week that the new factory surpasses the old.