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Mekhanik
2 months ago
12

The first few steps in solving the quadratic equation 5x2 + 27x = 14 − 13x by completing the square are shown. 5x2 + 27x = 14 −

13x 5x2 + 40x = 14 5(x2 + 8x) = 14 Which is the best step to do next to solve the equation by completing the square:
5(x2 + 8x + 16) = 30
5(x2 + 8x + 16) = 94
5(x2 + 8x + 4) = 18
5(x2 + 8x + 4) = 34
Mathematics
2 answers:
AnnZ [12.3K]2 months ago
8 0
5(x^2+8x)=14
5(x^2+8x+16)=5(x^2+8x)+5*16=5(x^2+8x)+80=14+80=94
The correct choice is the second one
Inessa [12.5K]2 months ago
6 0

we have

5x^{2} +27x=14-13x

Group like terms and shift the constant to the opposite side of the equation

5x^{2} +27x+13x=14

5x^{2} +40x=14

Factor out the leading coefficient

5(x^{2} +8x)=14

Complete the square carefully. Ensure to balance the equation by adding the same constants to both sides.

5(x^{2} +8x+4^{2})=14+5(4^{2})

5(x^{2} +8x+16)=14+80

5(x^{2} +8x+16)=94

therefore

the answer is option

5(x^{2} +8x+16)=94

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Zina [12379]

Answer:

Option 2  50 ≤ s ≤ 100

Option 5 She can make a deposit of $50

Option 6 She can make a deposit of $75

Detailed explanation:

Let

s represent the amount of money Layla puts into her savings account.

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case 1) 25 ≤ s ≤ 50

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case 3) s ≤ 25 or s ≥ 50

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case 4) s ≤ 50 or s ≥ 100

This statement is false

Because s ≤ 100 and s ≥ 50

case 5) She can make a deposit of $50

This statement is true

As the value of s meets the compound inequality  \$50 \leq s\leq \$100

case 6) She can make a deposit of $75

This statement is true

As the value of s meets the compound inequality  \$50 \leq s\leq \$100

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