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3 years ago

Find the equation of the line. Use exact numbers.

Mathematics

1 answer:

allochka39001 [22]3 years ago

7 0

Answer:

y = 1/2 x-3

Step-by-step explanation:

We know the y intercept is -3

We need two points to find the slope

(0,-3) and (6,0)

m = ( y2-y1)/(x2-x1)

=(0 - -3)/( 6-0)

(0+3)/(6-0)

3/6

1/2

The slope is 1/2 and the y intercept is -3

y = mx+b where m is the slope and b is the y intercept

y = 1/2 x-3

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The number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees. Which expression r

Blababa [14]

Answer:

$y=2.5*10^9(0.005^{12 0}) \\\\$

Step-by-step explanation:

The above question is in the form of an exponential decay. The equation for an exponential decay is given by:

$y=ab^x$

where y and x are variables, b < 1, a is the initial value of y (that is the value of y when x = 0).

Let y represent the number of trees left and x represent the number of months. Given that there is currently 2.5 billion trees, therefore a = 2.5 * 10⁹, b = 0.5% = 0.005. The equations becomes:

$y=2.5*10^9(0.005^x)\\\\After\ ten\ years(x=10*12\ months=120\ months):\\\\y=2.5*10^9(0.005^{12 0}) \\\\$

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3 years ago

Solve the following inequality for h then simplify <br> 8h-2>3h+2

Nata [24]

Answer:

8h-3>3h +2

8h-3h>2+3

5h>5

h>1

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3 years ago

How much has James earned since the beginning of the year in 2014? (use pay stub) *

schepotkina [342]

Can you give more information?

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2 years ago

9 1/2 divided by 3 7/10

OleMash [197]

Solution:

<u>Convert the fractions into improper fractions and solve.</u>

9 1/2 ÷ 3 7/10
=> 19/2 ÷ 37/10
=> 19/2 x 10/37
=> 19 x 5/37
=> 95/37

<u>Convert the fraction into mixed fraction (Not required):</u>

=> 95/37 = 37/37 + 37/37 + 21/37
=> 1 + 1 + 21/37
=> 2 + 21/37
=> 2 21/37

The solution to the problem is 2 21/37.

8 0

2 years ago

Read 2 more answers

state domain and range, intercepts, relative max and relative mins points and values, intervals of increase and decrease, interv

Anarel [89]

The domain of the graph is -∝ < x < ∝ and the range of the graph is -∝ < y < ∝. Also, the graph has no axis of symmetry

<h3>The domain and range of the graph</h3>

From the graph, we can see that the x values extend indefinitely

So, the domain of the graph is -∝ < x < ∝

From the graph, we can see that the y values extend indefinitely

So, the range of the graph is -∝ < y < ∝

<h3>The intercepts</h3>

This is where the graph crosses the axes

So, we have the intercepts to be

x-intercept = -4, -2 and 2
y-intercept = -9

<h3>Relative max and relative mins points and values, </h3>

The graph has a relative maximum at (3, 3) and the relative minimum are (0.5, 10)

<h3>Intervals of increase and decrease, </h3>

There are the intervals where the function increases and decreases

So, we have the intervals to be

Increasing interval: (0.5, ∝) and (-∝, -3)
Decreasing interval: (-3, 0.5)

<h3>Intervals of positive and negative,</h3>

There are the intervals where the function is positive and negative

So, we have the intervals to be

Positive interval: (-4, -2) and (2, ∝)
Negative interval: (-∝, -4) and (-2, 2)

<h3>The symmetry</h3>

This is the line that divides the graph equal part

In this case, the graph has no axis of symmetry

<h3>The end behavior</h3>

Using the intervals where the function is positive and negative, the end behavior is

As x ⇒ ∝, f(x) ⇒ +∝
As x ⇒ -∝, f(x) ⇒ -∝