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Effectus [21]
4 years ago
9

Helpppppppppppppppppppppppp

Mathematics
1 answer:
pishuonlain [190]4 years ago
8 0
We make the composition of both functions:
 f (x) = x ^ 2-1
 g (x) = 2x-3
 Then:
 f (g (x)) = (2x-3) ^ 2-1
 Rewriting:
 f (g (x)) = 4x ^ 2-12x + 8
 The domain of this function is all real numbers.
 Equivalently
 x: (-inf, inf)
 answer:
 x: (-inf, inf)
 option 1.
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Find the exact value of the trigonometric function of theta from the given information. cosine thetaequalsnegative StartFraction
Iteru [2.4K]

Is it a multiple choise?

7 0
4 years ago
If $300 is invested at a rate of 6% per year and is compounded quarterly, how much will the investment be worth in 12 years?
MAXImum [283]

Answer:

$613.04

Step-by-step explanation:

<em>Compound Interest Formula:</em>

   A = P(1+\frac{r}{n})^{nt}

   n = number of compounds

   t = time

   r = interest rate

   P = principle amount (original amount)

   A = final amount

Since it's compounded quarterly, that means there will be 4 compounds per year, so n=4. The interest rate has to be converted to the decimal value, and this is done by simply dividing it by 100 to get r=0.06.

Plug Values into equation:

A = 300(1+\frac{0.06}{4})^{12*4}

Simplify inside parenthesis

A = 300(1.015)^{48}

Calculate exponent

A \approx 300(2.043478)

Multiply values

A \approx 613.04348

Round

A = 613.04

7 0
2 years ago
Help please if i get it wrong i have to start over :(​
Ksenya-84 [330]

Answer:

18 square units

Step-by-step explanation:

To find the area of a rectangle, we just need the length and height.

3 vertices of a rectangle are given, which is enough here to figure out the length (x-axis distance) and the height (y-axis distance).

From (0,0) origin to (3,0) would be 3 - 0 = 3 units in the x-axis. That is length:

Length = 3 units

Now, a point is given (0,6), that is in the y-axis. This is from origin. So, the height is:

6 - 0 = 6 units

Height = 6

Now, the area would be:

Area = Length * Height

Area = 3 * 6

Area = 18 square units

8 0
3 years ago
At a local pizza parlor , game tickets can be traded for small toys . The rate is 10 tickets for 4 small toys . If meg won 55 ti
tangare [24]

Meg can trade her tickets in for 20 small toys.

6 0
4 years ago
amy had an unpaid balance of 1753.05 on her credit card statement at the begining of june. she made a payment of 365.39. If the
Inga [223]

Answer:

1. New balance on July 1=1,484.962

2. New finance charge=97.1362

Step-by-step explanation:

The initial unpaid balance=1753.05 by June

Amy paid 365.39 on June

The unpaid balance after paying 365.39=Initial unpaid balance-amount paid on June

where;

Initial unpaid balance=1753.05

Amount paid on June=365.39

replacing;

The unpaid balance after paying 365.39=(1753.05-365.39)

The unpaid balance after paying 365.39 =1,387.66

The interest will be charged on the unpaid balance of 1,387.66

Interest=Principal×rate×time

Principal=1,387.66

Rate=7% per month

Time(in months)=Early June to early July=1 month

replacing;

Interest=1,387.66×(7/100)×1=97.1362

New balance on July 1=Unpaid balance after paying+Interest

where;

Unpaid balance after paying=1,387.66

Interest=97.1362

replacing;

New balance on July 1=(1,387.66+97.1362)=1,484.962

New balance on July 1=1,484.962

New finance charge=97.1362

6 0
3 years ago
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