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3 years ago

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Based on the Census, state A has 1111 fewer electoral votes for president than state B. If the total number of electoral votes

for these two states is 8787, find the number for each state.
1. UNDERSTAND the problem. Reread it as many times as needed.
Let x represent the number of electoral votes in state B.
Then -------represents the number of electoral votes for state A.

1 answer:

OleMash [197]3 years ago

4 0

State A = State B - 1111
State A + State B = 8787
So, (B-1111) + B = 8787
2B -1111 = 8787
2B = 8787+1111
2B = 9898
B= 4949
Then A = B - 1111
A = 4949 - 1111
A = 3838
Proof is A + B = 8787
3838 + 4949 = 8787

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Part 1) Option B: 0 ≤ x ≤ 4

Part 2) Option C: (5x − 1)(2x − 3)

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The range is the interval ----> [0,20]

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Part 2) we have

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where

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V is the volume in gallons

we know that

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so

For V=0

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The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$10x^{2} -17x+3=0$

so

$a=10\\b=-17\\c=3$

substitute in the formula

$x=\frac{-(-17)(+/-)\sqrt{-17^{2}-4(10)(3)}} {2(10)}$

$x=\frac{17(+/-)\sqrt{169}} {20}$

$x=\frac{17(+/-)13} {20}$

$x=\frac{17(+)13} {20}=\frac{3}{2}$

$x=\frac{17(-)13} {20}=\frac{1}{5}$

so

$10x^{2} -17x+3=10(x-\frac{3}{2})(x-\frac{1}{5})$

simplify

$10(x-\frac{3}{2})(x-\frac{1}{5})=(2x-3)(5x-1)$

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we know that

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In this problem we have

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The y-intercept of a function is the value of the function (output value) when the value of x (input value) is equal to zero

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The expression represent a company's net sales, in billions, from 2008 to 2018

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Remember that the x-intercepts are the values of x when the value of the function is equal to zero

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3 years ago

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