All categories

3 years ago

What is the simplified form of the expression? k3 [k^7/3] -5

1 answer:

3 0

Simplify the following:
(k^3 k^7)/3 - 5

Combine powers. (k^3 k^7)/3 = k^(7 + 3)/3:
k^(7 + 3)/3 - 5

7 + 3 = 10:
k^10/3 - 5

Put each term in k^10/3 - 5 over the common denominator 3: k^10/3 - 5 = k^10/3 - 15/3:
k^10/3 - 15/3

k^10/3 - 15/3 = (k^10 - 15)/3:
Answer: (k^10 - 15)/3

You might be interested in

Simone claims that the slope of the line through (-2, 7) and (3, 0) is the same as the slope of the line through (2, 1) and (12,

JulijaS [17]

Answer:

Simone is correct

Step-by-step explanation:

Given

Line 1:

$(x_1,y_1) = (-2, 7)$

$(x_2,y_2) = (3, 0)$

Line 2:

$(x_1,y_1) = (2, 1)$

$(x_2,y_2) =(12, -13)$

Required

Is Simone correct?

Slope (m) is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

For Line 1

$m = \frac{0 - 7}{3 - (-2)}$

$m = \frac{0 - 7}{3 +2}$

$m = \frac{-7}{5}$

$m = -\frac{7}{5}$

For Line 2:

$m = \frac{-13 - 1}{12 -2}$

$m = \frac{-14}{10}$

Divide by 2/2

$m = \frac{-14/2}{10/2}$

$m = \frac{-7}{5}$

$m = -\frac{7}{5}$

By comparison, both lines have the same slope.

Hence, Simone is correct

3 0

3 years ago

What is the y intercept of the line whose equation is y=1/x-3

son4ous [18]

Answer:

x-intercept: (1/3,0)

y-intercept: none

6 0

4 years ago

Read 2 more answers

Samuel purchased 2 1/2lb of nuts for $10.50.

aalyn [17]

Answer:

22.05

Step-by-step explanation:

21/2 has 5 halves

10.5 divided by 5= 2.1

2.1= 1/2 2.1 x 10 = 21

2.1 / 2 = 1.05

21 + 1.05= 22.05

6 0

3 years ago

Read 2 more answers

Help me solve this pls

ddd [48]

Answer:

$\frac{x - 10}{8}$

Step-by-step explanation:

$\frac{3x}{8} - \frac{x + 5}{4}$

The common denominator of both fractions is 8. Therefore,, divide the denominator of each fraction, then multiply what you get by the numerator of each fraction.

Thus:

$\frac{1(3x) - 2(x + 5)}{8}$