MATHEMATICS HIGH SCHOOL

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

Answers

Answer 1

Answer:

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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the screen on brianna new phone is 2.85 centimeters long. what mixed number represents the length ofbthe phone screen

Answers

So,

The screen is 2.85cm long.
Literally "two ones and eighty-five hundredths".

Fraction: 2 85/100

Simplify
2 17/20

The screen is 2 17/20cm long.

Which term describes what a manufacturer spends for goods or services?cost
price
markup

Answers

It is the cost.
A markup is when something requires x dollars to produce but is sold for more than x.
A price is just how much money the item is worth
A cost is what amount of money is needed to make the product, in this case terms and services.
Hope this helps!

Cost is the correct answer.

Which of the following statements will be true about the product of 6 and 1 3/4?The product will be less than 6.
The product will be equal to 6.
The product will be greater than 6.

Answers

The product will be greater than 6

Answer:

i think greater

Step-by-step explanation:

Lila ran at a rate of 4 miles in 30 mintues. There are 1.61 kilometers in 1 mile. What is lilaś running rate in kilometers per hour