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miss Akunina [59]
3 years ago
9

A quadratic function y=f(x) is plotted on a graph and the vertex of the parabola is (3,6). What is the vertex of the function de

fined as g(x)=f(x+5)?
Mathematics
1 answer:
maks197457 [2]3 years ago
5 0

Answer:

vertex = (- 2, 6)

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here a = 5 , thus a horizontal translation left by 5 units.

Thus

vertex of g(x) = (3 - 5, 6 ) = (- 2, 6 )

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Whats is the diference of:
grandymaker [24]

Answer:

2h^2

Step-by-step explanation:

=> (10h^4+h^2)-(10h^4-h^2)

=> 10h^4+h^2-10h^4+h^2

=> h^2+h^2

=> 2h^2

7 0
3 years ago
O triplo de um número, menos 10 é igual ao próprio número mais 70. Qual é esse número?
marin [14]

Answer: 40

Step-by-step explanation:

3x-10=x+70

3x-x=70+10

2x=80

x=8<u>0</u>

    2

x=40

8 0
3 years ago
Read 2 more answers
The sets A, B, and C are defined as follows:
PilotLPTM [1.2K]

The element of B × A × C is equivalent to the element of  A × B × C.

B × A × C = {tall foam nonfat, tall foam whole, tall no-foam nonfat, tall no-foam whole, grande foam non fat, grande foam whole, grande no foam nonfat, grande no foam whole, venti foam nonfat,, venti foam whole, venti nofoam nonfat, venti nofoam whole}

For the element of B × C

B × C = {foam nonfat, foam whole, no foam nonfat, no foam whole}

<h3>Product of sets</h3>

Given the following sets

A = {tall, grande, venti}

B = {foam, no-foam}

C = {non-fat, whole}

The set of A * B is expressed as:

A * B = {tall foam, tall no foam, grande foam, grande no foam, venti foam, venti nofoam}

A × B × C =  {tall foam nonfat, tall foam whole, tall no-foam nonfat, tall no-foam whole, grande foam non fat, grande foam whole, grande no foam nonfat, grande no foam whole, venti foam nonfat,, venti foam whole, venti nofoam nonfat, venti nofoam whole}

The element of B × A × C is equivalent to the element of  A × B × C.

B × A × C = {tall foam nonfat, tall foam whole, tall no-foam nonfat, tall no-foam whole, grande foam non fat, grande foam whole, grande no foam nonfat, grande no foam whole, venti foam nonfat,, venti foam whole, venti nofoam nonfat, venti nofoam whole}

For the element of B × C

B × C = {foam nonfat, foam whole, no foam nonfat, no foam whole}

Learn more on set notation here: brainly.com/question/24462379

8 0
2 years ago
Calculate the rent of a decreasing annuity at 8% interest compounded quarterly with payments made every quarter-year for 7 years
Papessa [141]
The general Formula for a decreasing Annuity is:
P = ( \frac{(1+i)^n -1}{i (1+i)^n}) R
For this example we have:
P = 78,000
n = 7*4 = 28
i = 8%/4 = 2% = 0.02

After substituting you can find value for R, rent.
5 0
4 years ago
Bella wants to save for a vacation in three years and this vacation costs $2300. She deposits $2000 into a bank earning 5% inter
ddd [48]

Answer:

$2,323.2

Step-by-step explanation:

A = P(1 + r/n)^nt

Where,

A = future value = ?

P = present value = 2,000

r = interest rate = 5% = 0.05

n = number of periods = 12

t = time = 3 years

A = P(1 + r/n)^nt

= 2,000(1 + 0.05/12)^12*3

= 2,000( 1 + 0.00417)^36

= 2,000( 1.00417)^36

= 2,000(1.1616)

= 2,323.2

A = $2,323.2

5 0
3 years ago
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