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Stella [2.4K]
3 years ago
14

What is y=4(x+1)^2-4 in standard form​

Mathematics
1 answer:
just olya [345]3 years ago
6 0

Answer:

Step-by-step explanation:

(a + b)² = a² + 2ab + b²

(x + 1)² = x² +2*x*1 + 1² = x² + 2x + 1

y = 4(x+1)² - 4

y = 4(x² + 2x + 1) - 4

y = 4*x² + 4*2x + 4*1 -4

y = 4x² + 8x + 4 - 4

y = 4x² + 8x

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What is<br> 3% of [(-0.5) * (- :)]<br> ?
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Solution for 0.5 is what percent of 3:

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Question: 0.5 is what percent of 3?

Percentage solution with steps:

Step 1: We make the assumption that 3 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=3$100%=3​.

Step 4: In the same vein, $x\%=0.5$x%=0.5​.

Step 5: This gives us a pair of simple equations:

$100\%=3(1)$100%=3(1)​.

$x\%=0.5(2)$x%=0.5(2)​.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
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100%
x%​=
3
0.5​​

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$\frac{x\%}{100\%}=\frac{0.5}{3}$
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$\Rightarrow x=16.666666666667\%$⇒x=16.666666666667%​

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