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3 years ago

What is the sum of 1 minus 7\12

Mathematics

2 answers:

Korolek [52]3 years ago

7 0

Get your common denominater of 12/12 a 7-12 subtract the top numbers so your answer is 5/12 in simpelest form

asambeis [7]3 years ago

5 0

Think about this. You have one whole pie and you've just cut it into 12 pieces. How many pieces do you have left if you eat 7 of them? 5. That means you have 5/12 of the pie left, so your answer is 5/12.

Please don't forget to choose which answer is Brainliest!

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Complete the table of values

Agata [3.3K]

Both problems give you a function in the second column and the x-values. To find out the values of a through f, you need to plug in those x-values into the function and simplify!

You need to know three exponent rules to simplify these expressions:
1) The negative exponent rule says that when a base has a negative exponent, flip the base onto the other side of the fraction to make it into a positive exponent. For example, $3^{-2} =
\frac{1}{3^{2} }$ .
2) Raising a fraction to a power is the same as separately raising the numerator and denominator to that power. For example, $(\frac{3}{4}) ^{3} = \frac{ 3^{3} }{4^{3} }$ .
3) The zero exponent rule says that any number raised to zero is 1. For example, $3^{0} = 1$ .


Back to the Problem:
Problem 1
The x-values are in the left column. The title of the right column tells you that the function is $y = 4^{-x}$ . The x-values are:
1) x = 0
Plug this into $y = 4^{-x}$ to find letter a:
$y = 4^{-x}\\
y = 4^{-0}\\
y = 4^{0}\\
y = 1$

2) x = 2
Plug this into $y = 4^{-x}$ to find letter b:
$y = 4^{-x}\\ 
y = 4^{-2}\\ 
y = \frac{1}{4^{2}} \\ 
y= \frac{1}{16}$

3) x = 4
Plug this into $y = 4^{-x}$ to find letter c:
$y = 4^{-x}\\ 
y = 4^{-4}\\ 
y = \frac{1}{4^{4}} \\ 
y= \frac{1}{256}$


Problem 2
The x-values are in the left column. The title of the right column tells you that the function is $y = (\frac{2}{3})^x$ . The x-values are:
1) x = 0
Plug this into $y = (\frac{2}{3})^x$ to find letter d:
$y = (\frac{2}{3})^x\\
y = (\frac{2}{3})^0\\
y = 1$

2) x = 2
Plug this into $y = (\frac{2}{3})^x$ to find letter e:
$y = (\frac{2}{3})^x\\ y = (\frac{2}{3})^2\\ y = \frac{2^2}{3^2}\\
y = \frac{4}{9}$

3) x = 4
Plug this into $y = (\frac{2}{3})^x$ to find letter f:
$y = (\frac{2}{3})^x\\ y = (\frac{2}{3})^4\\ y = \frac{2^4}{3^4}\\ y = \frac{16}{81}$

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Answers:
a = 1
b = $\frac{1}{16}$ 
c = $\frac{1}{256}$
d = 1
e = $\frac{4}{9}$
f = $\frac{16}{81}$

5 0

3 years ago

I needddddd your help

rusak2 [61]

Answer:

I think humans live in these places.

Step-by-step explanation:

I think humans live in these places because they are man-made structures made for civilizations, for example the houses and roads.

4 0

3 years ago

Rosa works due north of home. Her husband Juan works due east. They leave for work at the same time. By the time Rosa is 7 miles

polet [3.4K]

This is a right triangle problem. c^2 = a^2 + b^2
Let b = 7 mi (Rosa's distance from home)
Let a = the east leg (Juan's distance from home
(a+1) = c (hypotenuse, distance between them)

(a+1)^2 = a^2 + 7^2

FOIL (a+1)(a+1)
a^2 + 2a + 1 = a^2 + 49

Combine like terms
a^2 - a^2 + 2a = 49 - 1
2a = 48
a =

a = 24 mi, Juan's distance from home

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

8 0

3 years ago

Write the equation of the line in slope-intercept form that goes through the points: (2, 4) and (7, -1) *

avanturin [10]

Answer:

1. slanting upward because the slope is positive one.

2. A: 3/4 B: 4/-3

3. A: 3 B: y=3x-10

1. (-2-7)/(-4-5) = -9/-9 = 1

2. A: (7-4)/(7-3) = 3/4

B: (8-0)/(-6-0) = 8/-6 = 4/-3

3. find the slope first so (4-1)/(2-1)= 3/1. then you plug in point C to find the y intercept so y=mx+b would be 2=3(4)+b which makes it so b is -10. the new equation would be y=3x-10

Step-by-step explanation:

4 0

3 years ago

A pancake recipe calls for 1 cup of flour. Derek has already used 1/4 cup of flour. How many more cups of flour does Derek need

Marat540 [252]

Answer:

Derek needs to add 3/4 cups of flour.

Step-by-step explanation:

If Derek has already used 1/4 cup of flour, he needs 3 more cups of flour to get to 1 full cup of flour.

4 0

3 years ago

Read 2 more answers