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3 years ago

Determine, in general form, the equation of the line that goes through the

Mathematics

1 answer:

Jlenok [28]3 years ago

8 0

Answer:

I got

y=3/5x -39/5

Step-by-step explanation:

Hope this helps

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Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1?

asambeis [7]

Answer:

4, 2.75, 1.5, 0.25, - 1, - 2.25, ...............

Step-by-step explanation:

Using the recursive formula with f(1) = 4, then

f(2) = f(1) - 1.25 = 4 - 1.25 = 2.75

f(3) = f(2) - 1.25 = 2.75 - 1.25 = 1.5

f(4) = f(3) - 1.25 = 1.5 - 1.25 = 0.25

f(5) = f(4) - 1.25 = 0.25 - 1.25 = - 1

f(6) = f(5) - 1.25 = - 1 - 1.25 = - 2.25

Sequence is 4, 2.75, 1.5, 0.25, - 1, - 2.25, .......

8 0

4 years ago

The equation of a line?

Mandarinka [93]

Y - 5 = m[ x - ( - 2 ) ] is <span>the "point-slope" form of your staright - line equations;
y - 5 = m( x + 2 ) ;
But, your line is parallel to y = ( 2 / 3 )x + 1;
m = 2 / 3;
Finally, y - 5 = ( 2 / 3)( x + 2);
y = 5 + ( 2 / 3)x + 4 / 3;
y = ( 2 / 3 )x + 15 / 3 + 4 / 3 ;
y = ( 2 / 3 )x + 19 / 3.

</span>

3 0

3 years ago

In a race, the second-place finisher crossed the finish line 1 minutes after the first place finisher. The third-place finisher

vlada-n [284]

Answer:

32 minutes.

Step-by-step explanation:

third place took 34 minutes.

second place took 33 minutes.

first place took 32 minutes.

8 0

2 years ago

What is the image of (0,6)(0,6) after a reflection over the y-axis?

kramer

The image of (0,6) after a reflection over the y-axis is (0, 6)

<h3>How to determine the image of (0,6) after a reflection over the y-axis?</h3>

The point is given as:

(0, 6)

The rule of reflection is given as:

Reflection over the y-axis

The rule of reflection over the y-axis is represented as:

(x, y) = (-x, y)

So, we have:

(0, 6) = (-0, 6)

Evaluate the expression

(0, 6) = (0, 6)

Hence, the image of (0,6) after a reflection over the y-axis is (0, 6)

Read more about reflection at:

brainly.com/question/4289712

#SPJ1

8 0

1 year ago

A truck's varying distance from the warehouse, d , measured in miles is modeled by the formula d=t2+50t where t is the varying n

Dafna1 [17]

Answer:

7.596 hours
57.596 mph

Step-by-step explanation:

a) The distance is given as ...

d = t^2 +50t

We want to find the value of t for which this distance is 437.5 miles. That means we want to solve the equation ...

437.7 = t^2 +50t

We can complete the square by adding the square of half the t coefficient, (50/2)^2 = 625

437.5 +625 = t^2 +50t +625

1062.5 = (t +25)^2

√1062.5 -25 = t ≈ 7.596 . . . . hours

It will take the truck about 7.596 hours to reach its destination.

b) Average speed is total distance divided by total time. Here, we can find the average speed as ...

d/t = (t^2 +50t)/t = t +50

That is, the average speed over the 437.5-mile trip is ...

7.596 +50 = 57.596 . . . . miles per hour

The car must maintain a constant speed of 57.596 mph to reach the destination at the same time.

_____

When solving equations using a graphing calculator, I like to put them into a form such that the solution is the x-intercept. Here, that means the equation we're solving is ...

x^2 +50x -437.5 = 0 . . . . x is hours to destination

8 0

3 years ago