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lutik1710 [3]
3 years ago
8

If the x-coordinate and the y-coordinate

Mathematics
1 answer:
dangina [55]3 years ago
8 0

Answer:

The answer is the 3rd quadrant.

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Which of the following options is a root of the function? f(x) = (3x + 5) (x2 - 6x + 9)2
Alika [10]

Answer:

The roots of the function are x = -5/3 and 3. Select these.

Step-by-step explanation:

The roots of the function are the solutions to the function. They are also called the x-intercepts or zeros. To find them, factor the function completely and solve using the zero product property.

f(x) = (3x+5)(x2-6x+9)2 becomes f(x) = (3x+5)(x-3)^2

Set each factor equal to 0 and solve for x.

(3x+5)=0

3x = -5

x = -5/3

(x-3)^2 = 0

x - 3=0

x = 3

3 0
3 years ago
Adam is buying a hot air balloon for 19,000 with a down payment of 5,000. The bank approved a simple interest flat rate loan for
Aneli [31]

The monthly loan payments are $350 ⇒ B

Step-by-step explanation:

Simple Interest formula (Principal + Interest)  is A = P(1 + rt)  where:

  • A is total accrued amount (principal + interest)
  • P is principal Amount
  • r is rate of interest per year in decimal
  • t is time period involved in months or years

Adam is buying a hot air balloon for 19,000 with a down payment of 5,000. The bank approved a simple interest flat rate loan for 5 years at 10%APR.

We need to find how much the monthly loan payments are

∵ Adam is buying a hot air balloon for $19,000 with a down payment

  of $5,000

- Subtract the down payment from the cost of the balloon

∴ P = 19000 - 5000 = 14000

∵ The bank approved a simple interest flat rate loan for 5 years at

   10% APR

∴ t = 5

∴ r = 10% = 10 ÷ 100 = 0.1

- Substitute all of theses values in the formula above

∵ A = 14000[1 + 0.1(5)]

∴ A = 21000

∴ The loan payment is $21000

- The loan will pay in 5 years

∵ The number of monthly payment = 5 ×12 = 60

- Divide the amount of loan payment by 60

∴ The monthly loan payments = 21000 ÷ 60 = 350

The monthly loan payments are $350

Learn more:

You can learn more about the monthly payment in brainly.com/question/788903

#LearnwithBrainly

3 0
3 years ago
Solve the pair of simultaneous equations and leave the answer as a fraction in
Elena-2011 [213]

Answer:

x = 11/3 = 3 2/3

y = 13/3 = 4 1/3

Step-by-step explanation:

Here, we want to solve the system of equations simultaneously

x + y = 8

2x -3 = y

From the second equation, we have an equation for y

we can simply proceed to substitute this into the first equation

x + 2x - 3 = 8

3x - 3 = 8

3x = 8 + 3

3x = 11

x = 11/3

Recall;

y = 2x - 3

y = 2(11/3) - 3

y = 22/3 - 3

y = (22-3(3))/3

y = (22-9)/3 = 13/3

6 0
3 years ago
Which is the graph of f(x) =
rosijanka [135]
The answer would be the first 1.
6 0
3 years ago
For problems 1, 2, and 3, use the function g(x) = sin(6x) .
Fantom [35]

Step-by-step explanation:

1. Amplitude = 1.  g(x) = 1 sin(6x).  The coefficient 1 is the amplitude.  The range of the function is -1 \le g(x) \le 1  or, in interval notation, [-1, 1]

2. The period is  \frac{2\pi}{6}=\frac{\pi}{3}.

x-intercepts (at the beginning, middle, and end of the period) 0,\,\frac{\pi}{6},\,\frac{\pi}{3}

Maximum (1/4 of way through period)  \left(\frac{\pi}{12},\,1 \right)

Minimum (3/4 of way through period)  \left( \frac{\pi}{4}, \, -1 \right)

6 0
3 years ago
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