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Mkey [24]
2 years ago
5

The standard form of the equation of a parabola is y = x2 - 8x + 29. What is the vertex form of the equation?

Mathematics
2 answers:
Bess [88]2 years ago
7 0
Y = x² - 8x + 29
y = (x² -8x +4²) + 29 -4² . . . . add and subtract the square of half the x-coefficient
y = (x -4)² + 13 . . . . . . . . . . . . simplify

The appropriate choice is
  C. y = (x - 4)² + 13
Oxana [17]2 years ago
6 0

Answer:

y=(x-4)^2 + 13

Step-by-step explanation:

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Desmond deposits $50 into a savings account every month at an annual interest rate of
joja [24]

Given:

Desmond deposits $ 50 monthly.

Yearly he deposits = $50×12 = $ 600

Rate of interest compounded monthly = 4.7%

To find the amount he will receive after 10 years and the rate of change the value of his account after 10 years.

Formula

A = P(1+\frac{r}{(n)(100)} )^{nt}

where,

A be the final amount

P be the principal

r be the rate of interest

t be the time and

n be the number of times the interest is compounded.

Now,

Taking,

P = 600, r = 4.7, n = 12, t = 10 we get,

A = 600(1+\frac{4.7}{(12)(100)}) ^{(12)(10)}

or, A = 600(1.0039)^{120}

or, A = 959.1

Now,

At starting he has $ 600

At the end of 10 years he will be having $ 959.1

So,

The amount of change in his account = $ (959.1-600) = $ 359.1

Therefore the rate of change = (\frac{359.1}{600} )(100) %

= 59.85%

Hence,

a) His account will contain $ 959.1 after 10 years.

b) The rate of change in his account is 59.85% after 10 years.

7 0
2 years ago
Four rectangles are shown in the diagram. For which pair of rectangles is the ratio of the side lengths 1:3?
kondor19780726 [428]
The answer is B. because it is 6:9 which simplifies down to 1:3
5 0
3 years ago
Si f(1)=18 que es f(5)
alexira [117]
F(5)=90 pienso que si
3 0
3 years ago
Cora plans to buy some calligraphy pens priced at $5 each
TiliK225 [7]
Whats the question? how many is she buying? or how many can she afford?
8 0
2 years ago
Read 2 more answers
The 12th term and the sim of 1+3+5+7+.....
zzz [600]

To find this, first find the factor or rate of which the numbers are moving. To do so do as follows.

subtract 1 from 3

3-1=2

So each number is having 2 added to it.

Now add two to 7 and the numbers afterwards till you get the 12th term

7+2=9

1+3+5+7+9

9+2=11

1+3+5+7+9+11

11+2=13

1+3+5+7+9+11+13

13+2=15

1+3+5+7+9+11+13+15

15+2=17

1+3+5+7+9+11+13+15+17

17+2=19

1+3+5+7+9+11+13+15+17+19

19+2=21

1+3+5+7+9+11+13+15+17+19+21

21+2=23

1+3+5+7+9+11+13+15+17+19+21+23

So 23 is the 12th term


7 0
3 years ago
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