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PIT_PIT [208]
3 years ago
7

Complete the square to rewrite y = x2 – 6x + 5 in vertex form. Then state whether the vertex is a maximum or a minimum and give

its coordinates. A. Maximum at (3, –4) B. Minimum at (3, –4) C. Minimum at (–3, –4) D. Maximum at (–3, –4)
Mathematics
2 answers:
Allisa [31]3 years ago
6 0
X2 - 6x + 5

= (x - 3)^2 - 9 + 5

= (x - 3)^2  - 4

vertex is a minimum  at  (3, -4)

(
inna [77]3 years ago
6 0

Answer:

B. Minimum at (3, –4)

Step-by-step explanation:

Given is a quadratic function as

y=x^2-6x+5

Considering the first two terms, we find that if we add 9 we can make it a perfect square

Hence add and subtract 9 to right side

y=x^2-6x+9-9+5\\   =(x-3)^2-4

This is in vertex form

Vertex = (3,-4)

Since coefficient of leading term of x is positive, the parabola is open up and hence minimum is at (3,-4)

Option B,

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You find an interest rate of 10% compounded quarterly. Calculate how much more money you would have in your pocket if you had us
Elena-2011 [213]

Answer:

see the explanation

Step-by-step explanation:

we know that    

step 1

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

r=10\%=10/100=0.10\\n=4  

substitute in the formula above

A=P(1+\frac{0.10}{4})^{4t}  

A=P(1.025)^{4t}  

Applying property of exponents

A=P[(1.025)^{4}]^{t}  

A=P(1.1038)^{t}  

step 2

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

r=10\%=10/100=0.10  

substitute in the formula above

A=P(e)^{0.10t}  

Applying property of exponents

A=P[(e)^{0.10}]^{t}  

A=P(1.1052)^{t}  

step 3

Compare the final amount

P(1.1052)^{t} > P(1.1038)^{t}

therefore

Find the difference

P(1.1052)^{t} - P(1.1038)^{t} ----> Additional amount of money you would have in your pocket if you had used a continuously compounded account with the same interest rate and the same principal.

3 0
3 years ago
Cedric buys a cantaloupe every week. The first time he bought a cantaloupe, it cost $2.40. He notices the price is getting less
Leviafan [203]
Hi all! ❤


I know this answer is late, so for anyone in the future, I am 100% positive about these answers, I just took the quiz. So here they are...


The graph has a y-intercept only.

The point (0, 2.40) is on the graph.

The graph increases from left to right. 


Hope this helps someone baiii ❤
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The answer is going to be D
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Answer:

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