Rewrite each equation in slope intercept form if necessary . Then determine whether the lines are parallel. Explain.

Mathematics

1 answer:

mezya [45]3 years ago

3 0

Y=-x+3 (already in slope intercept form)

x+y=21

-x

y=-x+21

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I need answers as soon as possible

NARA [144]

so to find 15% of 54,237, we use this equation: (x/54237) = (15/100) where x is the amount of income tax.

cross multiply: 100x = 813555

divide each side by 100 to isolate x: 8135.55

the truck driver will pay $8135.55

5 0

3 years ago

Determine the astm grain size number if 33 grains per square inch are measured at a magnification of 270×

strojnjashka [21]

8.9

The equation for the grain size is expressed as the equality:
Nm(M/100)^2 = 2^(n-1)
where
Nm = number of grains per square inch at magnification M.
M = Magnification
n = ASTM grain size number

Let's solve for n, then substitute the known values and calculate.
Nm(M/100)^2 = 2^(n-1)

log(Nm(M/100)^2) = log(2^(n-1))
log(Nm) + 2*log(M/100) = (n-1) * log(2)
(log(Nm) + 2*log(M/100))/log(2) = n-1
(log(Nm) + 2*log(M/100))/log(2) + 1 = n

(log(33) + 2*log(270/100))/log(2) + 1 = n
(1.51851394 + 2*0.431363764)/0.301029996 + 1 = n
(1.51851394 + 0.862727528)/0.301029996 + 1 = n
2.381241468/0.301029996 + 1 = n
7.910312934 + 1 = n
8.910312934 = n

So the ASTM grain size number is 8.9

If you want to calculate the number of grains per square inch, you'd use the
same formula with M equal to 1. So:
Nm(M/100)^2 = 2^(n-1)
Nm(1/100)^2 = 2^(8.9-1)
Nm(1/10000) = 2^7.9
Nm(1/10000) = 238.8564458
Nm = 2388564.458

Or about 2,400,000 grains per square inch.

7 0

3 years ago

If you do all you'll get brainliest

Flura [38]

The two equations:
Daisy’s: y = 4x + 14
Donald’s: y= 2x + 26

The point of intersection is (6, 38)
This point refers to how many of passengers it will take for both equations to have have the same cost output.

Daisy’s deal is better if you have less than 6 passengers. We can tell because the line for the equation is lower than Donald’s line. Donald’d deal will be better if you have more than 6 passengers since the line is lower than daisy’s deal.