3 years ago

I need with this question please.

Mathematics

1 answer:

lora16 [44]3 years ago

6 0

.........Phitagors theory

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What is f(x) = 7x2 + 42x written in vertex form?

amid [387]

Answer:

$\boxed{\boxed{y = 7(x+3)^2-63}}$

Step-by-step explanation:

The general vertex form of parabola is,

$y=a(x-h)+k$

where,

(h, k) is the vertex of the parabola.

The given function is,

$\Rightarrow f(x) = 7x^2 + 42x$

$\Rightarrow y = 7x^2 + 42x$

$\Rightarrow y = 7(x^2 + 6x)$

$\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3)$

$\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3-3^2)$

$\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3)-7\cdot 3^2$

$\Rightarrow y = 7(x+3)^2-7\cdot 9$

$\Rightarrow y = 7(x+3)^2-63$

This is vertex form the given function.

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Answer:

Step-by-step explanation:

There are no repeating values for x, for different values plugged in for y.

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What is the midpoint of a line segment with the endpoints (8, -3) and (-5, -9)?

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Charles can type 675 words in 9 minutes. How many words can Charles type in 13 minutes?

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Answer:

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Step-by-step explanation:

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