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3 years ago

What is the value of x?

Mathematics

2 answers:

Katen [24]3 years ago

8 0

Answer:

Step-by-step explanation:

because 180-100=80 and 80 + 70 = 150 and then 180-150 = 30

storchak [24]3 years ago

6 0

Answer:

Step-by-step explanation:

because 180-100=80 and 80 + 70 = 150 anddthan 180-150 = 30

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U.S. craft-beer breweries (breweries that make fewer than 6 million barrels annually and are less than 25% owned by big brewerie

yarga [219]

Answer:

(a) a = 43.25 , b = 41 and c = 1547

(b) The number of craft-beer breweries in 2016 = 4643

Step-by-step explanation:

Given that the number of small craft-beer breweries from 2008 to 2012 is modeled by using a quadratic function of the form f(t) = at² + bt + c where a, b, and c are constants and t is measured in years, with t = 0 corresponding to 2008.

(a) Now we have to find these constants given f(0) = 1547, f(2) = 1802, and f(4) = 2403.

So, f(0) = $a*(0)^{2} + b*(0) + c$ which implies that c = 1547.

f(2) = $a*(2)^{2} + b*(2) + c$ = 4a + 2b + c

4a + 2b + c = 1802 ----------- [Equation 1]

f(4) = $a*(4)^{2} + b*(4) + c$ = 16a + 4b + c

16a + 4b + c = 2403 ----------- [Equation 2]

Further solving Equation 1 we get; 4a + 2b + 1547 = 1802

4a + 2b = 1802 - 1547 ; 4a + 2b = 255 ----------- [Equation 3]

Further solving Equation 2 we get; 16a + 4b + 1547 = 2403

16a + 4b = 2403 - 1547 ; 16a + 4b = 856 ----------- [Equation 4]

Now, Solving Equation 3 and 4 we get ;

a = 43.25 and b = 41 .

Therefore, values of constants a, b and c are 43.25, 41 and 1547 respectively.

(b) So, model we obtained in part (a) is represented as :

f(t) = $43.25t^{2} + 41t + 1547$

Now to estimate the number of craft-beer breweries in 2016, assuming that the trend continued we know that t would be 8 as 2016 - 2008 = 8 years.

So, f(8) = $43.25*(8)^{2} + 41*8 + 1547$ = 4643.

6 0

4 years ago

X / 8 = -2 I don't understand it.

Alenkinab [10]

Answer:

x=-16

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Determine whether the function f(x) -1 / x^2 + x^4 is even odd or neither

kirill [66]

If f(-x) = f(x) then the function is even.

If f(-x) = -f(x) then the function is odd.

We have: $f(x)=\dfrac{-1}{x^2+x^4}$

calculate f(-x):

$f(-x)=\dfrac{-1}{(-x)^2+(-x)^4}=\dfrac{-1}{(-1x)^2+(-1x)^4}\\\\=\dfrac{-1}{(-1)^2x^2+(-1)^4x^4}=\dfrac{-1}{1x^2+1x^4}=\dfrac{-1}{x^2+x^4}=f(x)$

f(-x) = f(x), therefore your answer: The function f(x) is even.

If we have: $f(x)=\dfrac{-1}{x^2}+x^4$

$f(-x)=\dfrac{-1}{(-x)^2}+(-x)^4=\dfrac{-1}{x^2}+x^4$

f(-x) = f(x)

f(x) is even

5 0

3 years ago

Just need the answers to see if im right lol

denis-greek [22]

Answer:

what is the question ? Volume or surface area???

6 0

3 years ago

Triangle ABC is similar to triangle FGH. What is the value of x in centimeters?

Nookie1986 [14]

You should have posted a picture of it so we can see the numbers

3 0

3 years ago