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DedPeter [7]
3 years ago
15

Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is below.

Mathematics
1 answer:
marta [7]3 years ago
8 0

Answer:

p(x) = 5(x + 3)² - 45

Step-by-step explanation:

Sandra wrote the function as p(x) = 30x + 5x².

So, this is a formula of a parabola, and this we have to convert into vertex form.

Now, rearranging the function we get

p(x) = 5(x² + 6x)

⇒ p(x) = 5(x² + 6x + 9) - 45

⇒ p(x) = 5(x + 3)² - 45

So, this is the vertex form and the vertex of the parabola is (-3,-45).

We know the formula of a parabola having vertex at (m,n) and axis parallel to positive y-axis is given by

(x - m)² = 4a(y - n)

⇒ y = \frac{1}{4a} (x - m)^{2} + n (Answer)

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bezimeni [28]

Answer:

The miles-per-gallon rating of this car is 20.83.

Step-by-step explanation:

This question can be solved by a rule of three.

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4.8 gallons are used for 100 miles. So

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3 years ago
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Answer:

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4 0
3 years ago
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Six less than the product of 7 and a number equals<br> 5.
VARVARA [1.3K]

Answer:

x = 11/7 or 1.57

Step-by-step explanation:

let the number be x

now :

=》the product of 7 and the number

  • 7 × x = 7x

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=》now, we know :

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2 years ago
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the double number line shows that in 3 seconds an ostrich can run 63 meters. how far can the ostrich run in 5 seconds
inna [77]

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Step-by-step explanation:

Ostrich's running rate is 63 meters/3 seconds. This can be reduced to 21 meters/second (21 m/s).

(21 m/s)*(5 sec) = 105 meters

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Sneha is planning a 5-night vacation. It will cost $50 for transportation, $290 for food, and $95 per night for a hotel room. Sh
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Answer:

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