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Helen [10]
3 years ago
5

A river drops 12 ft vertically over a horizontal distance of 1500 ft.

Mathematics
1 answer:
elixir [45]3 years ago
4 0

Answer:

Slope = rise / run

= -12 / 1500 (It's -12 and not 12 because a drop means it's decreasing)

= -0.008

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Write a function equation that represents a line that contains the two points (-3, 5) and (2, 10).
Eva8 [605]

Step-by-step explanation:

1. 1st of all calculate the gradient

( - 3, 5) ( 2, 10)

Gradient = (10 - 5) / ( 2--3)

= 1

2. Then find the eq

Y = mx + c

Where m is the gradient

y= 1x + c

Now replace any 2 coordinates from above in the eq.

For ex I'm taking (2, 10)

Y = 1x + c

In the coordinate, x = 2 and y =10

By replacing this in the eq, I will find c

10 = 1(2) + c

2 + c = 10

c = 10 - 2

= 8

So the eq is y = x + 8 ⬅️

4 0
3 years ago
Which of the following function types exhibit the end behavior f(x)-->0 as x --> -infinity?
ipn [44]
Let's consider the functions one by one.

i) y=x^n,

x --> -infinity means that x is a very very small negative number. To model it in our mind let's think of -10^{15}. This number to an even power becomes 10^{30}, 10^{60}... etc.

Indeed, we can see that the smaller the x, the greater the value x^n. In fact, as x --> -infinity,  f(x)-->+infinity.

ii)
y=x, 

this clearly means that the behaviors of x and y are identical.

As x --> -infinity, y --> -infinity as well.


iii) y=|x|,

We can think of x --> -infinity, again, as a very very small number, like -10^{15}. For this value of x, y is |-10^{15}|, that is 10^{15}.

Indeed, the smaller the x, the greater the y. As in the function in part (i), as x --> -infinity,  f(x)-->+infinity.

iv) 

y=1/x

consider the values of y for the following values of x:

for x=-10, -100, -1000, y is respectively -0.1, -0.01, -0.001.

We can see that the smaller the x, the closer y gets to 0.

Thus, <span>f(x)-->0 as x --> -infinity
</span>
v) n'th root of x in not defined for negative x, when n is even.

vi) y=b^x, b>0

Here note that b cannot be equal to 1, otherwise the function is not exponential.

Let b=5, consider the values of y for the following values of x:

for x=-10, -100, -1000, y is respectively \displaystyle{ \frac{1}{5^{10}},  \frac{1}{5^{100}}, \frac{1}{5^{1000}}.

That is, the smaller the value of x, the closer y gets to 0.

Thus, <span>f(x)-->0 as x --> -infinity</span>
5 0
3 years ago
Please tell me the last one, 12 and 8
arlik [135]
The number of the day is 60 because the LCM is 30
4 0
3 years ago
WILL MARK BRAINLIEST A stamp collector bought 7 rare stamps for her collection. Each stamp cost $1,953. How much did the collect
IceJOKER [234]

Answer:

$13,671

Step-by-step explanation:

Each stamp cost $1,953, and the collector bought 7 of them.

1953 * 7 = 13671

The collector spent $13,671 on the stamps.

8 0
3 years ago
What is the value of a?
bearhunter [10]

Answer:

the second option : 5 1/3

Step-by-step explanation:

the height (h) in such a right-angled triangle is based on the 2 segments of the baseline : 3 and a

h = 4

the formula is h = sqrt(a×b)

with a and b being the baseline segments.

so,

4 = sqrt(3×a)

16 = 3×a

a = 16/3 = 5 1/3

8 0
2 years ago
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