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3 years ago

What scenario could be modeled by the graph below?

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

3 0

Step-by-step explanation:

f(x) = ax + b

a = -2/3

b = 6

f(x) = -2/3x + 6

Fx x

F(x) = -4/3x² + 6x

F(9) - F(0)

The area of the yellow part is 0.5 * 9 * 6 = 27

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Write 2/15 as a decimal.

Cloud [144]

If you need to write a number as a decimal, it means that you need to write is a an x divided by a power of 10.
you can use this formula:
$\frac{2}{15} = \frac{x}{10}$

now let's multiply both sides by 10:
$\frac{20}{15} = x$
and simplyfy:
(by dividing the first fraction's elements by 5)
$\frac{4}{3} = x$

change improper fraction into a mixed number
$1\frac{1}{3} = x$

and 1 over 3 is 0.33333...

so the answer is 1.333333 - we can also write it as 1.(3)

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3 years ago

Please help with this question

natita [175]

Answer:

$12\sin{(2\theta)}\cos{(\theta)}$

Step-by-step explanation:

The appropriate trig identity is ...

$\sin{a}+\sin{b}=2\sin{\left(\dfrac{a+b}{2}\right)}\cos{\left(\dfrac{a-b}{2}\right)}$

Here, you have a scale factor of 6 and a=3θ, b=θ. Filling in these values gives ...

$6\sin{3\theta}+6\sin{\theta}=12\sin{\left(\dfrac{3\theta+\theta}{2}\right)}\cos{\left(\dfrac{3\theta-\theta}{2}\right)}\\\\=12\sin{(2\theta)}\cos{(\theta)}$

8 0

3 years ago

Determine the holes, vertical asymptotes, and horizontal asymptotes of the rational function y=3x^2+10x-8/x^2+7x+12

kompoz [17]

There would be a hole when x = -4.

If you factor both the top and the bottom, you will see that the factor (x + 4) is in both the numerator and denominator. Therefore, the would be a hole when x = -4 because that would also make the denominator 0.

8 0

3 years ago

The value of a in the equation ax + y = 5 , if x = 2 and y = 3 is a) – 1 b) 0 c) 1

sasho [114]

Answer:

c) 1

Step-by-step explanation:

=> ax+y = 5

Putting x =2, y =3

=> a(2)+3 = 5

=> 2a = 5-3

=> 2a = 2

Dividing both sides by 2

=> a = 1

3 0

4 years ago

Read 2 more answers

What expression is equivalent to the expression 2(6y-4)

Kobotan [32]

Answer:

12y-8

Step-by-step explanation:

If you distribute the 2 you will 12y-8

4 0

3 years ago