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2 years ago

Express 15x^1/3 y ^1/5 using a radical

Mathematics

1 answer:

9966 [12]2 years ago

3 0

Answer:

Step-by-step explanation:

$15x^{\frac{1}{3} }y^{\frac{1}{5} }\\\\=15x^{\frac{5*1}{5*3} }y^{\frac{3*1}{3*5} }\\\\=15x^{\frac{5}{15} }y^{\frac{3}{15} }\\\\=15\sqrt[15]{x^{5}y^{3} } \\\\$

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The function LaTeX: f\left(x\right)=2\cdot4^xf ( x ) = 2 ⋅ 4 xcan be used to represent an exponential growth curve. What is the

nikklg [1K]

Option B: 4 is the multiplicative rate of change of the function

Explanation:

The exponential growth function is $f(x)=2(4)^x$

We need to determine the multiplicative rate of change of the function.

First, let us determine the values of function.

x y

1 8

2 32

3 128

4 512

Since, the multiplicative rate of change of an exponential function is the number by which the next term is increasing or decreasing.

Thus, the multiplicative rate of change of the function is given by

Multiplicative rate of change of the function = $\frac{32}{8} =4$

Multiplicative rate of change of the function = $\frac{128}{32} =4$

Multiplicative rate of change of the function = $\frac{512}{128} =4$

Thus, the multiplicative rate of change of the function is 4

Therefore, Option B is the correct answer.

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2 years ago

David bought a used Dodge Challenger for $14,000. The value of the car depreciates 11% per year from the time he bought the car.

statuscvo [17]

Answer:

V(t) = 14,000(0.89)^t

Step-by-step explanation:

Present value of the Dodge Challenger = $14,000

Present percentage value = 100%

Depreciation value = 11%

Number of years = t

Future value = V(t)

V(t) = Present value of the Dodge Challenger(Present percentage value - Depreciation value)^t

= 14,000(100% - 11%)^t

= 14,000(89%)^t

= 14,000(0.89)^t

V(t) = 14,000(0.89)^t

7 0

2 years ago

What is the equation of the line in slope intercept form using these points?

deff fn [24]

Answer:

y = -x - 1

Step-by-step explanation:

1. The slope-intercept form of any linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. To find the slope given two points, we can use the formula $\frac{y_2-y_1}{x_2-x_1}$ and plug in the corresponding variable.

$\frac{5-(-2)}{-6-1}$
$\frac{5+2}{-7}$
$\frac{7}{-7}$
$-1$

3. Okay, so the slope is -1x or just -x. This means that the equation looks like this so far: y = -x + b

4. To find b, the y-intercept, we can take the equation of $b = y_1 - m * x_1$ and plug in the values!

$b = -2-(-1)*1$
$b = -2 + 1 * 1$
$b = -1 * 1$
$b = -1$

5. Now that we have our y-intercept and slope, let's plug in those values and find the equation!

$y = -x - 1$

Therefore, the equation of the line is y = -x - 1. I hope this helped you!

3 0

2 years ago

I am confused please help

klemol [59]

Answer:

volume = lenght x width x height

v= 12x20x14

v=3,360 in³

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1 year ago

1,272 divided by 21?

Ann [662]

Answer:

106

Step-by-step explanation:

1272/21

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2 years ago