3 years ago

Y=4 (0.5)* exponential function y=2(5)* exponential function

Mathematics

1 answer:

Vlad1618 [11]3 years ago

6 0

Yes you are correct that is the answer.

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kobusy [5.1K]

Answer: 70

Step-by-step explanation:

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3 years ago

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Find the greatest common factor of each set of numbers 12 54

max2010maxim [7]

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3 years ago

Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (4, 4, 7) and use it to approximate the number 4.022

miss Akunina [59]

Answer:

80.66

Step-by-step explanation:

$L\left( x \right) = f\left( a \right) + f'\left( a \right)\left( {x - a} \right)$

$f(x, y, z) = x^2+y^2+z^2$

Since we have three variables,

$L(x, y,z) = f(a, b,c) + f_x (a, b,c) (x - a) + f_y (a, b,c) (y - b) +f_z(a,b,c)(z-c)$

$f(4, 4, 7) = 4^2+4^2+7^2=81$

$f_x (a, b,c)=2x=2*4=8\\f_y (a, b,c)=2y=2*4=8\\ f_z(a,b,c)=2z=2*7=14$

Therefore:

$L(x, y,z) = 81+ 8(x - 4) + 8 (y - 4) +14(z-7)$

Using the above:

f(4.02, 3.99, 6.97) =81+ 8(4.02 - 4) + 8 (3.99 - 4) +14(6.97-7)=80.66.

The approximation of $4.02^2 + 3.99^2 + 6.97^2$ is 80.66000.

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3 years ago

Evaluate f(x)=6x2 – 12 when x =-3.

Darya [45]

The answer is negative-48

7 0

2 years ago

Draw a diagram of the archway modeled by the equation y = -x2 + 5x + 24. Find and label the y-intercept and the

Delvig [45]

Answer:

Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.

Step-by-step explanation:

The graph that represents the equation $y = -x^{2} + 5\cdot x + 24$ is now sketched with the help of a graphing tool and whose representation is included in a file attached below. The point associated with x-intercepts are (-3, 0) and (8, 0) and the point associated with the highest point is (2.5, 30.25). The width of the archway at its base ( $\Delta x$ ) and the height of the archway at its highest point ( $\Delta y$ ) are, respectively:

$\Delta x = 8 - (-3)$

$\Delta x = 11$

$\Delta y = 30.25$

Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.

7 0

3 years ago