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3 years ago

Use the following coefficients of a quadratic equation:

1 answer:

4 0

Hello:
 the quadratic equation is : 2x²+4x-6 = 0
delta = b²-4ac
delta = 4²-4(2)(-6) =64 = 8²
x =(-4+√64) /4 =(-4+8)/4 = 1
or x =(-4-√64) /4 =(-4-8)/4 = -3

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Please help!! Evaluate the piece wise function at x=-4 and x=4.

hodyreva [135]

x = -4, so use the first equation, x^2 = -4^2 = -16

x = 4, use 3rd equation, sqrt(x) = sqrt(4) = 2

4 0

3 years ago

Write a function to represent the point (x,y) being translated of 3 units to the right and 2 units down.

Likurg_2 [28]

The correct answer is C as in cat

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3 years ago

The number of salmon swimming upstream to spawn is approximated by the following function:

umka2103 [35]

Answer:

The water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.

Step-by-step explanation:

Let $S(x) = -x^{3}+2\cdot x^{2}+405\cdot x +4965$ , for $6 \leq x \leq 20$ . $x$ represents the temperature of the water, measured in degrees Celsius, and $S$ is the number of salmon swimming upstream to spawn, dimensionless.

We compute the first and second derivatives of the function:

$S'(x) = -3\cdot x^{2}+4\cdot x +405$ (Eq. 1)

$S''(x) = -6\cdot x +4$ (Eq. 2)

Then we equalize (Eq. 1) to zero and solve for $x$ :

$-3\cdot x^{2}+4\cdot x +405 = 0$

And all roots are found by Quadratic Formula:

$x_{1} \approx 12.305\,^{\circ}C$ , $x_{2}\approx -10.971\,^{\circ}C$

Only the first root is inside the given interval of the function. Hence, the correct answer is:

$x \approx 12.305\,^{\circ}C$

Now we evaluate the second derivative at given result. That is:

$S''(12.305) = -6\cdot (12.305)+4$

$S''(12.305) = -69.83$

According to the Second Derivative Test, a negative value means that critical value leads to a maximum. In consequence, the water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.

5 0

3 years ago

H(x)=4x+3 Domain: all real number Find range

CaHeK987 [17]

don't know if this might help but here

Step-by-step explanation:

(−∞,∞),{y|y∈R}

4 0

2 years ago

How many acres of land are in a rectanglar parcel 234' * 878'

uysha [10]

An acre is 43,560 ft² because the customary system hates you.

Let's find out how many square feet the parcel is so we can convert it into acres.

The area of a rectangle is its base times its height.

A = bh
A = 234 ft * 878 ft
A = 205,452 ft²

Divide by 43,560.

A ≈ 4.7165 acres. (round as needed)

7 0

3 years ago