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Maksim231197 [3]
4 years ago
14

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

Mathematics
1 answer:
Sedaia [141]4 years ago
7 0

Answer:

The equation of the line is

2y=x+8

Step-by-step explanation:

This is a straight line graph.

And general equation of a straight is given by

y=mx+c

Where m is slope

c is the intercept on y axis at x=0

So at y=0, x=8. This is from the graph.

And inserting this value of y and x into the straight line equation

y=mx+c

0=-8m+c

Therefore, c=8m. Equation 1

Taking another point on the graph

at=0, y=4

Also, inserting this value of y and x into the straight line equation

4=0×x+c

4=0+c

Therefore, c=4.

Therefore the intercept is 4

From equation 1

c=8m c=4

Then m=c/8

m=4/8

m=1/2

Then the equations of then line is

y=mx+c

y=(1/2)x+4

Multiply through by 2

2y=x+8

The equation of the line is

2y=x+8

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nignag [31]

Answer:

We can now write this is a function of time in years leading to

f

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x

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=

200

(

.94

)

x

f

(

5

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≈

147

Explanation:

Firs you should consider that if its exponential then it has some form similar to

3

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is and that is the entire population that was given to us. We know over time it will change but why are we even using the exponential model.

Well it turns out that if you multiply some value over and over again it has this form. Example we multiply

2

⋅

2

⋅

2

⋅

2

=

2

4

. So if something doubled over time then this is what would happen.

Now the problem is that it will continue to decrease at the same rate leading to

a

⋅

(

.94

)

because only

94

%

of the population remains each year. After two years

a

⋅

(

.94

)

⋅

(

.94

)

. We can now write this is a function of time in years leading to

f

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x

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=

200

⋅

(

.94

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x

f

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5

)

≈

147

Step-by-step explanation:

8 0
2 years ago
Dividing polynomials. Help
lbvjy [14]

you can use long division to do this:-

a + 3 ) a^2 + 2a + 3

= a - 1 remainder 6 or you can write it as a - 1 + 6 / (a + 3)

4 0
3 years ago
In the diagram below, the top of each stair is parallel to the floor. What is the value of y?
Semmy [17]
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7 0
3 years ago
If cot theta = 3/2, what is the value of csc theta?
Arturiano [62]

The value of csc theta is \frac{3. 61}{2}

<h3>How to determine the value</h3>

It is important to note that the ratio for cot is given as;

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cosec theta = hypotenuse/opposite

If cot theta = 3/2, then

Adjacent = 3

Opposite = 2

Using Pythagoras theorem, we have

Hypotenuse square = opposite + adjacent square

H = \sqrt{2^2 + 3^2}

H = \sqrt{4 + 9}

H = 3. 61

Cosec theta = \frac{3. 61}{2}

Thus, the value of csc theta is \frac{3. 61}{2}

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6 0
2 years ago
1,15,29,43 formula sequence
irga5000 [103]
All you’re doing is adding 14 to each
1+14=15
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can i get brainliest answer ?
6 0
3 years ago
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