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kykrilka [37]
3 years ago
5

F(x) = x2+ x–1 and g(x) = x+ 3, what is f o g(x)

Mathematics
1 answer:
Naddika [18.5K]3 years ago
4 0

Answer:

Step-by-step explanation:

f(x) = x^2 + x - 1\\g(x) = x +3\\\\\\(f\:o\:g)(x) = f(g(x))

we input the function g(x) into every x in f(x)

f(g(x)) = (x+3)^2 + (x + 3) - 1\\f(g(x)) = x^2 + 6x + 9 + x + 3 - 1\\f(g(x)) = x^2 + 7x + 11

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Todd bought a jetski through an interest free payment plan. The ski was $2000 and his payment were $250 each. What percent of th
stepan [7]

Answer:

12.5%

Step-by-step explanation:

\frac{250}{2000}  \times 100\%

= 12.5%

Percentage of total cost that is the payments= 12.5%

4 0
3 years ago
Help needed, this is timed :’)
juin [17]

Answer:

Step-by-step explanation:

last answer

4 0
3 years ago
If you were trying to decide whether to take out an auto loan for $6500 to buy your first car, thereby allowing you to commuto f
notka56 [123]

Answer:

Yes, a loan would meet our requirement to commute for an impressive summer internship program next year  

Step-by-step explanation:

Taking a loan would meet our requirement of buying a car. We will be able to make the downpayment. This will enable us to buy a car. So the decision to take the loan will be valid. It will help us in commuting easily for the summer internship program. We will immediately get the car after making a down payment and will avail of the benefits of using the car. This is a healthy type of debt.

4 0
3 years ago
when you reverse the digits in a certain two-diget number you increase it value by 27. What is the number if the sum of its digi
Fynjy0 [20]
The number is = 10x+y
if reverse the digits, the number is: 10y+x
The sum fo its digits is =  x+y=5
I suggest this system of equations:
(10y+x)-(10x+y)=27    ⇒9y-9x=27
x+y=5
We can solve this system of equations by equaliztion method
x=5-y

9y-9(5-y)=27
9y-45+9y=27
18y=27+45
18y=72
y=72/18
y=4

x=5-y
x=5-4=1

The number is: 10x+y=10(1)+4=14

Answer: the number is 14
3 0
3 years ago
Read 2 more answers
Write an exponential model given the points ( 7, 12 ) and ( 8, 25 ). Round to the nearest hundredth.
inna [77]

Answer:

The exponential model is y = 0.07\cdot e^{0.73\cdot x}.

Step-by-step explanation:

The exponential model can be modelled by the following mathematical expression:

y = A\cdot e^{B\cdot x} (1)

Where:

x - Independent variable.

y - Dependent variable.

A, B - Coefficients.

If we know that (x_{1}, y_{1}) = (7,12) and (x_{2}, y_{2}) = (8,25), then we get the following system of equations:

A\cdot e^{7\cdot B} = 12 (2)

A\cdot e^{8\cdot B} = 25 (3)

If we divide (3) by (2), we calculate the value of B:

e^{B}=\frac{25}{12}

B = \ln \frac{25}{12}

B \approx 0.734

And by (2), we determine the value of A:

A = 12\cdot e^{-7\cdot B}

A = 0.0704

The exponential model is y = 0.07\cdot e^{0.73\cdot x}.

4 0
3 years ago
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