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
kap26 [50]
3 years ago
7

What is the value of [2/3]-4

Mathematics
1 answer:
Hunter-Best [27]3 years ago
5 0

Answer:

option 4

Step-by-step explanation:

a^{-m}=(\frac{1}{a})^{m}\\\\\\(\frac{2}{3})^{-4}=(\frac{1}{\frac{2}{3}})^{4}\\\\=(\frac{3}{2})^{4}\\\\=\frac{3^{4}}{2^{4}}\\\\=\frac{81}{16}

You might be interested in
Willa and Jack are playing a game. Willa's score is 1 point. Jack's score is -3 points. Which
BARSIC [14]

Answer:

Willa's score is 4 points greater than Jack's.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A parking garage charges $1.50 for the 1st hour of parking and $0.75 for each additional hour. What is the cost in dollars for p
QveST [7]
The equation you have to solve is 1.50 + (0.75 • 6). First, you solve what is in the parenthesis, 0.75 • 6 = 4.50. Now you simply add 1.50 and 4.50 to get $6, the total cost for 7 hours worth of parking. 
8 0
3 years ago
the combination for a lock is a 3 didget number the didgets are the prime factors of 42 listing from least to greatest what is t
zhannawk [14.2K]
42 = 2 * 3 * 7

So, <span>the combination for the lock is 237</span>
3 0
3 years ago
fine the y intercepts and intersection point for each graph. then write a system of equation for each graph.​
vovikov84 [41]

Answer:

In the previous lesson, you learned how to graph points on the coordinate plane. We can connect two points with a straight line.

To graph the equation of a line, we plot at least two points whose coordinates satisfy the equation, and then connect the points with a line. We call these equations "linear" because the graph of these equations is a straight line.

There are two important things that can help you graph an equation, slope and y-intercept.

Slope

We're familiar with the word "slope" as it relates to mountains. Skiers and snowboarders refer to "hitting the slopes." On the coordinate plane, the steepness, or slant, of a line is called the slope. Slope is the ratio of the change in the y-value over the change in the x-value. Carpenters and builders call this ratio the "rise over the run." Using any two points on a line, you can calculate its slope using this formula.

Let's use these two points to calculate the slope m of this line.

A = (1,1) and B = (2,3)

Subtract the y value of point A from the y-value of point B to find the change in the y value, which is 2. Then subtract the x value of point A from the x value of point B to find the change in x, which is 1. The slope is 2 divided by 1, or 2.

When a line has positive slope, like this one, it rises from left to right.

WATCH OUT! Always use the same order in the numerator and denominator!

It doesn't really matter whether you subtract the values of point A from the values of point B, or the values of point B from the values of point A. Try it - you'll get the same answer both ways. But you must use the same order for both the numerator and denominator!

You can't subtract the y value of point A from the y value of point B, and the x value of point B from the x value of point A - your answer will be wrong.

Let's look at another line. This line has a negative slope, it falls from left to right. We can take any two points on this line and find the slope. Let's take C (0, -1) and D (2, -5).

Using these two points, we can calculate the slope of this line. We subtract the y value of point C from the y value of point D, and the x value of point C from the x value of point D, and divide the first value by the second value. The slope is -2.

Y-Intercept

There's another important value associated with graphing a line on the coordinate plane. It's called the "y intercept" and it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero. This is another way to find the y-intercept, if you know the equation, the y-intercept is the solution to the equation when x = 0.

Equations

Knowing how to find the slope and the y-intercept helps us to graph a line when we know its equation, and also helps us to find the equation of a line when we have its graph. The equation of a line can always be written in this form, where m is the slope and b is the y-intercept:

y = mx + b

Let's find the equation for this line. Pick any two points, in this diagram, A = (1, 1) and B = (2, 3).

We found that the slope m for this line is 2. By looking at the graph, we can see that it intersects the y-axis at the point (0, –1), so –1 is the value of b, the y-intercept. Substituting these values into the equation formula, we get:

y = 2x –1

The line shows the solution to the equation: that is, it shows all the values that satisfy the equation. If we substitute the x and y values of a point on the line into the equation, you will get a true statement. We'll try it with the point (2, 3).

Let's substitute x = 2 and y = 3 into the equation. We get "3 = 3", a true statement, so this point satisfies the equation of the line.

back to top

© 2000-2005 Math.com. All rights reserved. Please read our Privacy Policy.

Homework Help | Algebra | Graphing Equations and Inequalities Email this page to a friend Email this page to a friend

6 0
3 years ago
What is the simplified value of the expression below?-8 *(-3)
Readme [11.4K]

Answer: +24

Step-by-step explanation: To multiply (-8)(-3), remember that a negative times a negative is always a positive. So (-8)(-3) is +24.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Explain why rational number is either a terminating or repeating decimal?
    14·2 answers
  • Sana is playing basketball.After she took 20 shots,she got in 55% of those shots.After she took 5 shots,the overall percentage o
    7·2 answers
  • Find the sum of 2x2 3x - 4, 8 - 3x, and -5x2 2. -3x2 - 2 -7x2 - 2 -3x2 6 -7x2 - 6x - 2
    8·1 answer
  • Can someone help? anyone who's taking like geometry?
    8·1 answer
  • What is the range of the data below?<br> —<br> —<br> 50<br> 60<br> 70<br> 80<br> 90<br> 100<br> оооо
    10·2 answers
  • PLEASE HELP !!!!!!! WILL MARK BRAINLIEST FOR A REAL ANSWER
    11·1 answer
  • 5. Mississippi and Georgia have a total of 21 electoral votes. Mississippi has 6 electoral votes. Use mental math or the guess,
    7·1 answer
  • How many doses are contained in 3 grams if each dose is 25mg?
    7·1 answer
  • In February Lana got a puppy that weighed 13 kilograms. By October the puppy weighed 16.9 kilogram. What was the puppy’s weight
    5·2 answers
  • Kenneth drew a scale drawing of an arcade an air hockey table Wich is 10 feet long In real life is 5 inches long in the drawing
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!