1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yakvenalex [24]
3 years ago
15

Which equation justifies why ten to the one third power equals the cube root of ten?

Mathematics
2 answers:
son4ous [18]3 years ago
6 0

Answer:

B

Step-by-step explanation:

(a^{m})^{n}=a^{mn}.\ \text{Hence option b will be correct.}

IgorC [24]3 years ago
6 0

Answer:

Step-by-step explanation:

AC and D are all wrong. The all add or subtract something from 3 which is not going to keep the two sides of the equation equal.

Only B is correct. To get the two sides equal, you need to multiply the powers by the same constant. B does this. The powers and the constant 1/3 * 3 are the same on both sides.

You might be interested in
Can someone help please ? Thanks I’m advance
Pani-rosa [81]

Answer:

f(-3) = 16

Step-by-step explanation:

Given:

f(x) = 2x² + x + 1

Required:

f(-3)

Solution:

Substitute x = -3 into f(x) = 2x² + x + 1

f(-3) = 2(-3)² + (-3) + 1

f(-3) = 2*9 - 3 + 1

f(-3) = 18 - 3 + 1

f(-3) = 16

6 0
3 years ago
A bus driver drives 147 miles on her route each day. She drove the bus 23 days last month. How many miles did the bus driver dri
elena-s [515]

Answer:

Step-by-step explanation:

147 x 23 = 3381

=>

5 0
3 years ago
Read 2 more answers
Please help with these?
Reika [66]

Answer:

.

Step-by-step explanation:

8 0
3 years ago
A line is perpendicular to y = {2/3x + 2/3}
Anna35 [415]

Answer: y = (-3x/2) + 1

Step-by-step explanation:

From the standard equation y = mx + c, the slope of the equation is 2/3. Therefor slope of a line perpendicular to it will be -3/2.

Hence the equation will be

y = (-3x/2) + c

As this line passes through (-2,4), putting these values in this equation gives  c = 1.

Hence the answer is y = (-3x/2) + 1

3 0
3 years ago
What are the coordinates of the vertex for the function shown below ?
Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

We can answer this in two ways:  Differentiation and Graphing.

<u>Differentitate:</u>

The first derivative of a function yields a function that provides the slope for any point on the line of the original function.  The slope of a vertex is zero, so we can set the first derivative to 0 and solve for x.

f(x) = 3(x-1)^2 + 4

f(x) = 3(x-1)(x-1) + 4

f(x) = 3(x^2 - 2x + 1) + 4

f(x) = 3x^2 - 6x + 7

f'(x) = 6x -6

Set this = 0 and find x:

0 = 6x -6

x = 1

The value of y when x=1 in the original equation is:

f(1) = 3(1-1)^2 + 4

y = 4

The vertex is (1,4)

<u>Graph:</u>

You can use DESMOS to plot the function.  The result is attached.  Look for the vertex and read the coordinates.  (1,4) seems to work.

6 0
3 years ago
Other questions:
  • A banquet hall has a perimeter of 3600 m. With is the width if the length is 5 times the width?
    11·1 answer
  • Talulah is an ecologist who studies the change in the penguin population of Antarctica over time. She
    7·1 answer
  • Find the surface area of a cylinder with a diameter of 34 and height of 10. Use 3.14 for π. Round your answer to the nearest ten
    11·1 answer
  • 3a=9. show work. check your solution.
    13·2 answers
  • Zareen is trying to find her mistake in the problem shown. In which step(s) did she make her mistake?
    13·1 answer
  • 1 million selfies taken each day on average, 48% are posted How many selfies are posted to the site each day?
    10·2 answers
  • Translate the phrase into an algebraic expression. The difference of x and 5​
    6·1 answer
  • What is the Variable of 9x +5
    15·1 answer
  • (6,-2), (12, 1)<br> Write equation in slope intercept form
    14·1 answer
  • A concrete truck loaded with concrete weighs up to 25 tons.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!