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3 years ago

What is h(x) =-3x2 - 6x + 5 written in vertex form?

Mathematics

2 answers:

sergeinik [125]3 years ago

6 0

Answer:

Step-by-step explanation:

MatroZZZ [7]3 years ago

5 0

Answer:

h(x) = -3(x + 1)^2 + 8

Step-by-step explanation:

h=-3x^2-6x+5 subtract 5 from both sides

h-5=-3x^2-6x divide both sides by -3

(5-h)/3=x^2+2x halve the linear coefficient, square it, add it to both sides....

(2/2)^2=1 add 1 to both sides...

(5-h+3)/3=x^2+2x+1, now the right side is a perfect square...

(8-h)/3=(x+1)^2 multiply both sides by 3

8-h=3(x+1)^2 divide both sides by -1

h-8=-3(x+1)^2 add 8 to both sides

h=-3(x+1)^2+8

h(x)= -3(x+1)^2+8

BRAINLIEST PLS!!!

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HELP ASAP 100 POINTS!!!!

nikitadnepr [17]

Answer: After 30 days, you would have $30,000

Step-by-step explanation: The question clearly gives us a progression which is best described as an arithmetic progression, that is, every term (or every day's amount of money) is determined by adding a fixed amount to what you already have from the previous term (or previous day).

In order to determine the amount earned after a given number of days, we will begin by determining a formula that can be suited for calculating all through any given number of days.

The first amount is fixed already, and we shall call that a. So a equals 1000. The amount added to that is 1000, so for day 2, you shall have 1000 plus 1000 which gives you 2000. The amount added we shall call d, so for day one you earned 1000, for day two you earned 1000 plus 1000. For day three you will earn 2000 plus 1000, which gives you 3000.

Having taken day one as a, and each successive 1000 as d, observe the following trend;

Day 1 = a

Day 2 = a + d

Day 3 = a + (3 - 1)d which gives you a + 2d

Since the first day has been represented by a, the third day shall be less by one common difference which is d. Hence the formula for day n can be expressed as follows;

Day ₙ = a + (n - 1)d

Where n is the number of days, the nth day shall be less by 1 since the term already includes day 1, which is the first term, hence every term shall always be less by 1. In other words, the 30th day (or 30th term) shall be less by 1 shown as follows

Day 30 = 1000 + (30 - 1) 1000

Day 30 = 1000 + (29 x 1000)

Day 30 = 1000 + 29000

Day 30 = 30000

5 0

4 years ago

Read 2 more answers

How do you write 505/100 as a decimal? Please tell how you got your answer.

givi [52]

If you are dividing any number by a divisible of 10, you count the zeros and move the decimal that many spaces to the left. So with 100, there are 2 zeros, so 505. turns into 5.05.

5 0

3 years ago

What is the prime factorization of 440?

lawyer [7]

Answer:

I would say the correct answer is 2^3 • 5 • 11

Step-by-step explanation:

To find the prime factors, you start by dividing the number by the first prime number, which is 2. If there is not a remainder, meaning you can divide evenly, then 2 is a factor of the number. Continue dividing by 2 until you cannot divide evenly anymore. Write down how many 2's you were able to divide by evenly. Now try dividing by the next prime factor, which is 3. The goal is to get to a quotient of 1.Here are the first several prime factors: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...

Let's start by dividing 440 by 2 

440 ÷ 2 = 220 - No remainder! 2 is one of the factors!

220 ÷ 2 = 110 - No remainder! 2 is one of the factors!

110 ÷ 2 = 55 - No remainder! 2 is one of the factors!

55 ÷ 2 = 27.5 - There is a remainder. We can't divide by 2 even anymore. Let's try the next prime number

55 ÷ 3 = 18.3333 - This has a remainder. 3 is not a factor.

55 ÷ 5 = 11 - No remainder! 5 is one of the factors!

11 ÷ 5 = 2.2 -There is a remainder. We can't divide by 5 evenly anymore. Let's try the next prime number

11 ÷ 7 = 1.5714 - This has a remainder. 7 is not a factor.

11 ÷ 11 = 1 - No remainder! 11 is one of the factors!

If we put all of it together we have the factors 2 x 2 x 2 x 5 x 11 = 440. It can also be written in exponential form as 2^3 x 5^1 x 11^1.

here is also the factor tree method : -

7 0

3 years ago

I don’t understand this question someone please help

kirill [66]

Answer:

£152.40

Step-by-step explanation:

If he made 80 cakes at a ratio of 3:2:5, then he made:

24 chocolate cakes

16 lemon cake

40 fruit cakes

He sold all of the chocolate: 24x2=48

He sold 3/4 of the lemon: 3/4 of 16=12 12x1.70=20.40

He sold 7/8 of the fruit cakes: 7/8 of 40=35 35x2.4=84

48+20.40+84=152.40

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3 years ago

Need help with mymathlab problem

AlexFokin [52]

Answer:

not question no answer

Step-by-step explanation:

sana po magets nyo po

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3 years ago