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Alinara [238K]
3 years ago
14

Here's a graph of a linear function. Write the equation that describes that function.

Mathematics
1 answer:
Lerok [7]3 years ago
8 0

The slope-intercept form of the graph is y=\frac{1}{2} x+4.

Solution:

Let us take any point on the straight line.

Here, we take (–8, 0) and (0, 4).

Let us first find the slope of the line.

Slope of the line formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

x_1=-8, y_1=0, x_2=0, y_2=4

$m=\frac{4-0}{0-(-8)}

$m=\frac{4}{8}

$m=\frac{1}{2}

Slope-intercept form:

y-y_1=m(x-x_1)

$y-0=\frac{1}{2} (x-(-8))

$y=\frac{1}{2} (x+8)

$y=\frac{1}{2} x+\frac{8}{2}

$y=\frac{1}{2} x+4

Hence the slope-intercept form of the graph is y=\frac{1}{2} x+4.

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With these numbers I have to find the median. Please help mee!!
Aloiza [94]
Write them in order from least to greatest,
11.9, 12.0, 12.3, 12.4, 12.4, 12.5, 12.7,12.8, 12.9, 13.1, 13.2, 13.8
then eliminate one from each side until you find the middle one,
12.5, 12.7
you have two middle, so you find the middle number in between them.

12.6 is the median.
4 0
3 years ago
Read 2 more answers
The fish population in a certain lake rises and falls according to the formula F = 3000(23 + 11t − t2). Here F is the number of
Gemiola [76]

Answer:

a) On January 1, 2017 the fish population will be the same as the initial population.

b) On September 18th, 2018 the fish population will be zero.

Step-by-step explanation:

Hi there!

a) First, let´s write the function:

F(t) = 3000(23 + 11t − t²)

The population on January 1, 2006 is the population at t = 0. Then:

F(0) = 3000(23 + 11· 0 - 0²)

F(0) = 3000 · 23 = 69000

This will be the population every time at which t² - 11t = 0. Then let´s find the other value of t (besides t = 0) that makes that expression to be zero:

t² - 11t = 0

t(t - 11) = 0

t = 0

and

t - 11 = 0

t = 11

On January 1, 2017 (2006 + 11), the fish population will be the same as the initial population.

b) We have to obtain the value of t at which F(t) = 0

F(t) = 3000(23 + 11t − t²)

0 = 3000(23 + 11t − t²)

divide both sides of the equation by 3000

0 = 23 + 11t − t²

Let´s solve this quadratic equation using the quadratic formula:

a = -1

b = 11

c = 23

x = [-b ± √(b² - 4ac)] / 2a

x = 12.8  ( the other value of x is negative and therefore discarded).

After 12.8 years all the fish in the lake will have died.

If 1 year is 12 months, 0.8 years will be:

0.8 years · 12 months/year = 9.6 months

If 1 month is 30 days, 0.6 month will be:

0.6 month · 30 days / month = 18 days

All the fish will have died after 12 years, 9 months and 18 days from January 1, 2006. That is, on September 18th, 2018.

7 0
3 years ago
Use slopes and y-intercepts to determine if the lines y=−x2+14 and 3x−4y=−1 are parallel.
Keith_Richards [23]
Answer: the lines are not parallel.


Explanation: if you isolate the x in 3x^2-4y=-1, the equation is y=3/4x^2+1/4


So, they are not parallel because the slope is not the same.
7 0
3 years ago
Find the slope of the line that contains (-1,9) and (9,9).
Artyom0805 [142]

Answer:

0

Step-by-step explanation:

When we have 2 points, we can find the slope from

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

   = (9-9)/(9--1)

   = 0/(9+1)

    = 0/10

   0

5 0
3 years ago
Read 2 more answers
Which two numbers add up to 3 and are multiplied to 4
DedPeter [7]
There are no two numbers that will add up to 3 and when multiplied become 4.

However there are 2 numbers if you multiply them it is -4. And when you add them it is 3. Those two numbers would be 1 and -4
4 0
3 years ago
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