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3 years ago

Pls help me With the hard math problem

Mathematics

1 answer:

kozerog [31]3 years ago

6 0

Answer:

A) For the first 10 minutes, the train travels 4 miles.
B) The train stops at two stations before it arrives at Springfield. The first station is 4 miles from Metro center. The second station is 8 miles from Metro center.
C) The longest time the train travels without stopping is 10 minutes.
D) It takes 20 minutes to get from Metro center to Springfield

Hoped this helped.

$BrainiacUser$

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State the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation

aleksandr82 [10.1K]

Answer:

Domain: $[-1,\infty)$

Range: $(-\infty, 3]$

Decreases over: $(-1,-\infty)$

Step-by-step explanation:

Given

$f(x) = -\sqrt{x + 1} + 3$ --- Missing from the question

Solving (a): The domain

To get the domain, the expression under the square root must not be negative.

In other words:

$x + 1 \ge 0$

Solve for x

$x + 1 -1\ge 0-1$

$x \ge -1$

Hence, the domain is:

$[-1,\infty)$

To get the range, we plot the values of the domain in the expression.

$x = -1$

$f(x) = -\sqrt{x + 1} + 3$

$f(-1) = -\sqrt{-1+1} +3$

$f(-1) = -\sqrt{0} +3$

$f(-1) = -0 +3$

$f(-1) = 3$

$x = \infty$

$f(\infty) = -\sqrt{\infty +1}+3$

$f(\infty) = -\sqrt{\infty}+3$

$f(\infty) = -\infty+3$

$f(\infty) = -\infty$

So, the range is: $(-\infty, 3]$

To get the interval where the function increases or not, we simply plot the graph of f(x).

See attachment for graph.

From the attachment, it will be observed that the graph of f(x) continuously decreases from x = -1, and it never increased.

This implies that, the graph decreases over the interval $(-1,-\infty)$

6 0

3 years ago

The roots in the equation <img src="https://tex.z-dn.net/?f=x%5E2%2Bbx%2Bc%3D0%5C%5C" id="TexFormula1" title="x^2+bx+c=0\\" alt=

Anuta_ua [19.1K]

We know b = sum of the two roots
= -4 + 2
= -2
therefore b = -2

7 0

4 years ago

99+ POINTS !!!!!!!!!!

alisha [4.7K]

Part 1:
The pattern for the first sequence goes by the multiples of 12 and you can show your work by adding 12 to the following number. Example:

12 + 12 = 24
24 + 12 = 36
36 + 12 = 48

and go on...

The pattern for the second is one is that you have to multiply by 2. Example:

3 × 2 = 6
6 × 2 = 12
12 × 2 = 24

Part 2:
You would do the same steps shown above. Add twelve to the following number which is 60. So, 60 + 12 = 72.

You would also need to multiply 2 and 96 since its the given number. 96 × 2 =192.

Part 3:
The first sequence is an arithmetic sequence because the number 12 is constantly being added.

The second sequence is a geometric sequence because 2 is constantly being multiplied.

I hope this helps!

3 0

3 years ago

Rectangle ABCD translates 4 units down and 2 units to the right to form rectangle A'B'C'D'. The vertices of rectangle ABCD are l

kondor19780726 [428]

The problem ask on which of the following choices is the length of B'C' if recatangle ABCD translate 4 untis down and 2 unit to the right to form a rectangle A'B'C'D' and the best answer would be letter B. 5 units. I hope you are satisfied with my answer and feel free to ask for more

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4 years ago

Read 2 more answers

atroni [7]

Answer: 16⅔ yds by 25 yds

Step-by-step explanation:

Let x be the length of 3 fence sections

Let y be the length of 2 fence sections

A = xy

3x + 2y = 100

y = 50 - 1.5x

A = x(50 - 1.5x) = 50x - 1.5x²

dA/dx = 50 - 3x

0 = 50 - 3x

3x = 50

x = 50/3 = 16⅔ yds

y = 50 - 1.5(16⅔) = 25 yds

5 0

3 years ago