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3 years ago

Find a cubic function with the given zeros. Square root of two., - Square root of two., -2

Mathematics

1 answer:

Anni [7]3 years ago

7 0

(x-sqrt2)(x+sqrt2)(x+2) = (x^2 -2)(x+2) = x^3 +2x^2 -2x -4

hope helped

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Will give brainiest. A ball is thrown from an initial height of 3 meters with an initial upward velocity of 20/ms . The ball's h

Colt1911 [192]

Using the given equation, set H to 8 meters and solve for t:

8 = 3 + 20t -5t^2

Subtract 8 from each side:

3 + 20t -5t^2 -8 = 0

Simplify:

20t - 5t^2-5 =0

Factor out -5:

-5(t^2-4t+1)=0

Divide both sides by -5:

t^2 - 4t +1 = 0

Using the quadratic formula solve for t:

t = 2 +/- √3

t = 3.73 or 0.27

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3 years ago

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A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ

Ronch [10]

Answer:

The system of equations representing the situation are

$600a+1200p = 15,000$

$a+p = 16$

with solutions

$p =9$

$a = 7$

Step-by-step explanation:

Let us call $a$ the number of associates and $p$ the number of partners. If each associate costs $600 and each partner costs $1200, and it cost the law firm a total of $15,000, then we have

$600a+1200p = 15,000$ .

Since the law firm assigned at total of 16 lawyers, we have

$a+p = 16$ .

Thus, the system of equations representing the situation are

$600a+1200p = 15,000$

$a+p = 16$

And the solution to this system is found by solving for $a$ in the second equation and substituting its value in the first equation:

$a = 16-p$

$600(16-p)+1200p = 15,000$

$9600-600p+1200p=15,000$

$9600+600p=15,000$

$600p=5400$

$\boxed{ p=9}$

We put this value into $a+p = 16$ and solve for $a:$

$a+9=16$

$\boxed{a = 7}$

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3 years ago

Given f(x) = x^2 – 3 and g(x) = x+2/x . Find (g ° f)(4).

Gnom [1K]

Answer:

Step-by-step explanation:

Given the two functions, we need to find

(g ° f)(4)

This means, we need to put the function f(x) INTO the function g(x) and then evaluate that new function at x = 4.

We put the whole expression of f(x) into "x" of g(x). Shown below:

$f(x)=x^2-3\\g(x)=\frac{x+2}{x}\\(gof)(x)=\frac{x^2-3+2}{x^2-3}\\(gof)(x)=\frac{x^2-1}{x^2-3}$

Now we plug in 4 into x and evaluate:

$(gof)(x)=\frac{x^2-1}{x^2-3}\\(gof)(4)=\frac{4^2-1}{4^2-3}\\(gof)(4)=\frac{15}{13}$

Thus,

correct answer is C

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3 years ago

Nisha is following a recipe for tomato sauce that calls for 13 teaspoons of oregano. She is using a measuring spoon that holds t

iren2701 [21]

Answer:

1 3/4 = 7/4

(7/4) / (1/8)

(7/4) * (8/1) = 56/4 = 14

D,14

Step-by-step explanation:

3 0

4 years ago

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Select the correct answer from the drop-down menu. Find the solution set for the system of equations. 9x + 5y = 28 5x + 9y = 56

Aliun [14]

The correct answer is
x = -0.5
y = 6.5
or
(x, y) = (-0.5, 6.5)

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4 years ago

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