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grandymaker [24]
3 years ago
8

What is the standard form of the equation of a parabola is y = 5x^2 + 20x + 14. What is the vertex form of the equation

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0

vertex form is y=a(x-h)^2+k

comlpete the square

y=5x^2+20x+14

group x terms

y=(5x^2+20x)+14

factor quadratic coefient

y=5(x^2+4x)+14

take 1/2 of linear coefient and square it

4/2=2, 2^2=4

add positive and negative of it inside the parentheasees

y=5(x^2+4x+4-4)+14

factor perfect squarer trinomial

y=5((x+2)^2-4)+14

expand

y=5(x+2)^2-20+14

y=5(x+2)^2-6 is vertex form

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You have heard that customers will try a new caterer if the price is 20% below their existing caterer. Your competitor prices a
Evgesh-ka [11]

Answer:

b) $640

Step-by-step explanation:

Competitor's price  = $800

<u>Price, 20% below of competitor's:</u>

  • $800 - 20% =
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Correct answer choice is b) $640

3 0
3 years ago
What is the maximum width of the mail slot?
Anna71 [15]

Step-by-step explanation:

Using Pythagoras theoram,

AC²= AB²+BC²

AC=  \sqrt{ {AB}^{2}  +  {BC}^{2} }

=  \sqrt{ {24}^{2} +  {7}^{2}  }

=   \sqrt{576 + 49}  =  \sqrt{625}

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4 0
3 years ago
Need help with this problem​
Arisa [49]

Answer:

1/4

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take the negative reciprocal when finding the slope of a perpendicular line.

So, -4 can be written as -4/1

flip it to make -1/4

and remove the negative to make 1/4

6 0
3 years ago
Aria studied the traffic trends in India. She found that the number of cars on the road increases by 10% each year. If there wer
denpristay [2]

Answer:

8,800,000cars

Step-by-step explanation:

Given the initial amount of cars = 80,000,000

If there is 10 % increase in the first year;

Increment = 10% of 80,000,000

Increment = 0.1 * 80,000,000

Increment = 8,000,000

Amount of car in year 2 = 80million + 8million = 88million

Year3;

Amount of car in year 3 = 88,000,000+(10%of88million)

Amount of car in year 3 = 88,000,000+8,800,000

Amount of car in year 3 =96,800,000

Differences in the number of cars = 96,800,000 - 88,000,000

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<em>Hence there are 8,800,000cars in years 3 than year 2</em>

7 0
3 years ago
What is the sum of the polynomials? (8x2-9y2-4x)+(x2-3y2-7x)
White raven [17]
The sum of the polynomials (8x²-9y²-4x)+(x²-3y²<span>-7x) is:

 1. You must add the terms whose variables and exponents are the same. 
 2. Let's rewrite the polynomials:
</span>
 (8x²-9y²-4x)+(x²-3y²-7x)
 8x²-9y²-4x+x²-3y²-7x
 (8+1)x²+(-4-7)x+(-9-3)y²

 3. Therefore, the result is:

 9x²-11x-12y²

 3. <span>What is the sum of the polynomials?

 The answer is: </span>9x²-11x-12y²
3 0
3 years ago
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