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dexar [7]
2 years ago
13

A state's license plates consist of four letters followed by three numerals, and 242 letter arrangements are not allowed. How ma

ny plates can the state issue?
Mathematics
1 answer:
PolarNik [594]2 years ago
6 0

Answer: There are 456975758 plates that the state can issue.

Step-by-step explanation:

Since we have given that

Number of letters = 4

Number of numerals = 3

And 242 letter arrangements are not allowed.

As we have 26 letters i.e A-Z

and numerals i.e, 0-9

So, the number of plates would be

(26^4)\times 10^3=456976000

So, the restricted letters deducting would be

456976000-242=456975758

Hence, there are 456975758 plates that the state can issue.

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Use the quadratic formula to find the solutions for..<br> y = 2x^2 - 9x + 5.
Yakvenalex [24]

Answer: x=\frac{9}{4}-\frac{\sqrt{41} }{4}  \\x=\frac{9}{4}+\frac{\sqrt{41} }{4}

Step-by-step explanation:

2x^2-9x+5

a=2

b=-9

c=5

x=\frac{-b\frac{+}{}\sqrt{b^2-4ac}  }{2a}

x=\frac{-(-9)\frac{+}{}\sqrt{(-9)^2-4(2)(5)}  }{2(2)}

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I WILL MARK YOU BRAINLYEST if you answer all of my problems !!!!!!!!!!!
Romashka [77]

First, let's convert each line to slope-intercept form to better see the slopes.

Isolate the y variable for each equation.

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Rearrange.

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Divide both sides by 2.

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Line c:

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Add 2y to both sides.

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Divide both sides by 2.

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Now, let's compare our new equations:

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For two lines to be parallel, they must have equal slopes.

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In this case, line b and c are parallel, and they have the same slope, but different y-intercepts.

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<h3><u>B and C are parallel, no perpendicular lines.</u></h3>
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