3 years ago

Simplify the expression below. (2y+1)^2-4y^2+2 A. 4y+3 B. 2y+3 D. -1

Mathematics

1 answer:

kramer3 years ago

5 0

Answer:

4 y + 3

Step-by-step explanation:

y = -3/4

d/dy((2 y + 1)^2 - 4 y^2 + 2) = 4

Indefinite integral:

integral(2 - 4 y^2 + (1 + 2 y)^2) dy = 2 y^2 + 3 y + constant

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In a school election, Juan received 4 times as many votes as Wayne, Neal recurved twenty less votes than Juan, and Kerry got hal

77julia77 [94]

Votes received by Wayne is 112

Solution:

To find: votes received by Wayne

Let the vote received by Wayne be "x"

Juan received 4 times as many votes as Wayne

Therefore,

Juan votes = 4 times as many votes as Wayne

Juan votes = 4x ---- eqn 1

Neal received twenty less votes than Juan

Neal votes = twenty less votes than Juan

Neal votes = Juan votes - 20

Neal votes = 4x - 20 ---- eqn 2

Kerry got half as many votes as Neal

Kerry votes = half of neal votes

Kerry votes = $\frac{4x - 20}{2}$ ---- eqn 3

The total votes cast in the election was 1,202

Wayne votes + Juan votes + Neal votes + Kerry votes = 1202

Plug in eqn 1 , eqn 2, eqn 3

$x + 4x + 4x - 20 + \frac{(4x - 20)}{2} = 1202\\\\2x + 8x + 8x - 40 + 4x - 20 = 1202 \times 2\\\\22x - 60 = 2404\\\\22x = 2404 + 60\\\\22x = 2464\\\\x = 112$

Therefore votes received by Wayne is 112

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3 years ago

What is the value of k ?

seropon [69]

K=10
Here is the equation

180-115=65

(4K+5)+(6k+10)+65=180

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2 years ago

Arelli uses 6.9 pints of white paint and blue paint to paint her bedroom walls. 3/4 of this amount is white paint, and the rest

Reika [66]

Answer:

1.73

Step-by-step explanation:

Arelli use 6.9 pints of white and blue paints for her bedroom

3/4 of this amount is white

3/4

= 0.75×100

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100-75

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Amount of blue paint is

25/100×6.9

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2 years ago

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Ronch [10]

Answer:

Step-by-step explanation:

2x+1=71

71-1=70

70÷2=35

therefore x must be 35

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3 years ago

Read 2 more answers