3x + y = 17
4x - y = 18

Answers

Answer 1
Answer: The two equations given are
3x + y = 17 and 4x - y = 18
Now we will first take one equation
3x + y = 17
Then
y = 17 - 3x
Now replacing the value of y in the second equation we get
4x - y = 18
4x - (17 - 3x) = 18
4x + 3x - 17 = 18
7x = 35
 x = 35/7
   = 5
Putting the value of x in the first equation we get
3x + y = 17
(3 * 5) + y = 17
15 + y = 17
y = 17 - 15
y = 2
So the value of x is 5 and y is 2
Answer 2
Answer: 3x+y=17
subtract 3x on both sides
y=17-3x
substitute 17-3x for y in the second equation
4x-(17-3x)=18
7x-17=18
7x=35
x=5

and now that you know x=5 you can plug that in to either of the original equations
3(5)+y=17
15+y=17
subtract 15 from both sides
y=2

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The formula a= bf-v1 is used to calculate acceleration as the change in velocity over a period of time. Solve the formula for the final velocity, bf in terms of initial velocity, v1, acceleration, a, and time,

Answers

Answer:

The formula for the final velocity, bf in terms of initial velocity, v1, acceleration, a, and time is given as

bf=v1+a* t

Step-by-step explanation:

Given:

a=(bf-v1)/(t)

To Find:

bf = ?

Solution:

Acceleration:

Acceleration is defined as the ratio between the change in velocity of an object and the time it takes for the object to change the velocity.

In formula, this is written as:

a=(v_(f)-v_(i))/(t)

Where,

'a' is the Acceleration.

'vf' is the final velocity.

'vi' is the initial velocity.

't' is the time it takes for the object to accelerate from vf to vi

Here it is given as

a=(bf-v1)/(t)

So,

Where,

'a' is the Acceleration

'bf' is the final velocity.

'v1' is the initial velocity.

't' is the time it takes for the object to accelerate from bf to v1.

On  Solving the above equation 'bf' we get

a=(bf-v1)/(t)\n\na* t=bf-v1\n\nbf=v1+a* t....As required

Final answer:

In physics, the formula bf = a + v1 is used to calculate the final velocity in terms of the initial velocity, acceleration, and time. If acceleration is zero, final and initial velocities are equal, pointing to constant velocity. If acceleration is negative, the final velocity is less than the initial, indicating deceleration.

Explanation:

The equation a = bf - v1 is used to calculate acceleration, defined as the change in velocity over a period of time. To solve for the final velocity, bf, we simply need to rearrange the equation.

So, bf = a + v1. This equation tells us that the final velocity is equal to the sum of the initial velocity and the acceleration.

Other insights we can gather from this equation include: if acceleration is zero, the final and initial velocities are equal, pointing to constant velocity. This is because there's no change in speed. Conversely, if acceleration is negative, the final velocity is less than the initial, indicating a decrease in speed or deceleration.

Learn more about Final Velocity here:

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Which equation represents a graph with a vertex at (–3, 2)

Answers

Answer:

y = 4x2 + 24x + 38

Step-by-step explanation:

Answer:

y = 4x2 + 24x + 38

Step-by-step explanation:

Ann Nguyen would like an installment loan for 5,000. Her bank will loan her the money at 12% for 18 months. Her insurance company will loan her the money at 12% for 24 months. Which loan would cost her less?

Answers

The Bank will provide loan on lesser cost.

The simple interest is given as,

             Interest=(Principle*rate *time)/(100)

Given that, Principle is 5000 , rate is 12 % and time is 18 months.

Time = 18 months= (18)/(12)=1.5 years

              Interest=(5000*12*1.5)/(100)=900

Also, Her insurance company will loan her the money at 12% for 24 months.

           Interest=(5000*12*2)/(100) =1200

Hence, the Bank will cost her less.

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noah has 72 collecters flags he is going to put 6 flags in each row how many rows of flags will he have in his display

Answers

If you would like to know how many rows of flags will Noah have in his display, you can calculate this using the following steps:

72 flags / 6 flags = 12 rows

The correct result would be 12 rows.
12 
because....
72/6= 12

Adult male heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The average basketball player is 79 inches tall. Approximately what percent of the adult male population is taller than the average basketball player?0.13%
0.87%
49.87%
99.87%

Answers

Given:
average height of a basketball player = 79 inches
μ = 70 inches
σ = 3 inches

standardize x to z = (x - μ) / σ 
P(x > 79) = P( z > (79-70) / 3) 
= P(z > 3) = 0.0013
0.0013 x 100% = 0.13%



0.13 % of the adult male population is taller than the average basketball player.

The path of a roller coaster after it has reached the top of the first hill follows a polynomial function as shown in the graph below....

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The interval that f(x) is increasing is the distance from 200 to 300.
The minimum value of f(x) in the interval 0<x<300 is 200.
At a value of 500, the value of f(x) is 0.
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The path of a roller coaster after it has reached the top of the first hill follows a polynomial function as shown in the graph below....

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