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Andre45 [30]
3 years ago
7

Y=4x^2+7x vertex form

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0
Use completing the square:

Ex:
y = x^2 +4x  \\  \\ y= x^2 +4x +(\frac{4}{2})^2- (\frac{4}{2})^2 \\  \\ y = (x^2 +4x+4) - 4 \\  \\ y = (x+2)^2 - 4

Now apply to your problem.
First factor out the '4' in front of the 'x^2' term
y = 4(x^2 + \frac{7}{4}x)
Apply completing the square:
y = 4(x^2 + \frac{7}{4}x +(\frac{7/4}{2})^2 -(\frac{7/4}{2})^2) \\  \\ y = 4[(x^2 + \frac{7}{4}x+\frac{49}{64}) - \frac{49}{64} ] \\  \\ y = 4(x + \frac{7}{8})^2 - \frac{49}{16}
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Y=-4x+6<br> Find an equation for the inverse relation
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Monique made several batches of soup for a potluck supper. Each batch required 3\4 0f a pound of potatoes, and she used a total
eimsori [14]

Answer:

The\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ \frac{26}{3}.

The\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ 8.67 (Approx).

Step-by-step explanation:

As given

Monique\ made\ several\ batches\ of\ soup\ for\ a\ potluck\ supper.

Each\ batch\ required\ \frac{3}{4}\ of\ a\ pound\ of\ potatoes.

she\ used\ a\ total\ of\ 6 \frac{1}{2}\ pounds\ of\ potatoes.

As given the expression.

= \frac{6 \frac{1}{2}}{\frac{3}{4}}

= \frac{\frac{13}{2}}{\frac{3}{4}}

Solving the above

= \frac{13\times 4}{2\times 3}

= \frac{26}{3}

In the decimal form.

= 8.67 (Approx)

Therefore\ the\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ \frac{26}{3}.

Therefore\ the\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ 8.67 (Approx).

6 0
2 years ago
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