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Aliun [14]
4 years ago
14

Willie changes the quadratic function f(x)=x2?6x+14 to vertex form f(x)=a(x?h)2+k. If Willie does this correctly, what is the va

lue of k?
Mathematics
1 answer:
andrew11 [14]4 years ago
8 0

Answer:

The value of k is 5.

Step-by-step explanation:

Since we know we can convert function's quadratic form to vertex form by completing the square.

f(x)=x2?6x+14

We will add and subtract 9 to our equation in order to complete the square.

1(x^{2} ?6x+9)-9+14

Upon completing the square and combining like terms we will get,

1(x?3)^{2} +5

Upon comparing Willie's vertex form with our expression we can see that k is 5.

Therefore, the value of k is 5.

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Linda has to buy stickers, erasers, and a pencil. She can only spend $3. A sticker costs $0.35, an eraser costs $0.99, and a pen
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Answer:

No

Step-by-step explanation:

Step 1: Understand the inequality

The inequality 0.35x + 0.99y + 0.59 ≤ 3 contains 2 variables 'x' and 'y'.  We can see the 'x' is multiplied by 0.35 which is the price of a sticker which means 'x' represents how many stickers Linda is buying.  The 'y' is multiplied by 0.99 which is the price of a eraser which means 'y' is how many erasers Linda is buying.  We ignore the 0.59 as that's the price for a pencil but Linda doesn't buy a pencil

Step 2: Sub in the values

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Step 3: Interpret the answer

Because the equality isn't true we can conlude Linda doesn't have the money to buy 3 stickers and 2 erasers

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Which graph correctly solves the system of equations below? y = −x2 − 1 y = 2x2 − 4 (6 points)
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Step-by-step explanation:

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