Answer:
[tex]a^{-n}[/tex] is [tex](\frac{1}{a})^{n}[/tex] OR [tex]\frac{1}{a^{n} }[/tex]
[tex]a^{0}[/tex] = 1, where a ≠ 0
Step-by-step explanation:
To simplify the exponents, you must put it in positive value
Example:
The simplest form of [tex]2^{-3}[/tex] is to change the exponent from negative value to positive value.
You can do that by reciprocal the number, [tex]2^{-3}=(\frac{1}{2})^{3}[/tex]You can write it [tex]\frac{1}{2^{3}}[/tex], because 1 to any power equal 1That means if you want to simplify [tex]a^{-n}[/tex], reciprocal a and change the sign of the power from -n to n
The simplest form of [tex]a^{-n}[/tex] is [tex](\frac{1}{a})^{n}[/tex] OR [tex]\frac{1}{a^{n} }[/tex]
For any number, a (a ≠ 0), 1 × a = a, so, the reason that any number to the zero power is 1 because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, (1)
Example:
The value of [tex](5)^{0}[/tex] = 1, because it is the product of no numbers, so it is equal to the multiplicative identity (1)
That means [tex]a^{0}[/tex] = 1, where a ≠ 0
Very important note:
[tex](0)^{0}[/tex] is undefined value
1/3 kilograms 2/3 what is the unit rate
Why does the base matter when simplifying negative exponents?
Answer:
A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. For instance, "x–2" (pronounced as "ecks to the minus two") just means "x2, but underneath, as in 1 x 2 \frac{1}{x^2} x21 ".
Step-by-step explanation:
#6 What integers describes overdrawing your bank account by $50?
Answer:
-50
Step-by-step explanation:
A negitive number would mean debt or owed. A positive number would be a credit of a number.
Please help I need to get this answered!
Answer:
4 1/9
Step-by-step explanation:
so if we make the fraction the same having 7 4/9 and 3 1/3
we would then make 1/3 into 3/9 (its the smae thing not simplified)
subtract 7-3=4
4-3=1
and then simplify the fraction
25-2z-10z=-3(4z+8)-1
solve and how many solutions ?
Answer:
No Solutions
Step-by-step explanation:
Step 1:
25 - 2z - 10z = - 3 ( 4z + 8 ) - 1 Equation/Given
Step 2:
25 - 12z = - 12z - 25 Combine Like Terms/Multiply
Step 3:
25 = - 25 Add 12z on both sides
Answer:
No Solutions
Hope This Helps :)
P(5. - 5), y=3x+3
Write an equation for the line in point-slope form
Answer:
M= 3
Step-by-step explanation:
l2ecdnienofnweucon fuovnewdionsdv wqueijncqodi
Answer:
y+5 =3(x-5)
Step-by-step explanation:
The point slope form of an equation is : y-y₁ = m(x-x₁)
Given in the question ;
x₁= 5
y₁ = -5
y= 3x+3 where m=3
The equation is :
y-y₁ = m(x-x₁)
y--5 =3(x-5)
y+5 =3(x-5) ----equation of the line in point-slope form.
You are going on a field trip and need to choose where to go, The zoo charges a $100 fee plus $10 per student. The museum charges $200 plus $5 per student. How many students have to go on the trip to make the museum a better deal
Answer:
21 kids have to go on the trip to make the museum a better deal
Step-by-step explanation:
Zoo: y=10x+100
Museum: y=5x+200
10x+100=5x+200
5x=100
x=20
When 20 kids go on trip the costs will be the same. Therefore, once 21 kids go the museum will be cheaper then the zoo as it is increasing at a rate of 5 dollars
solve.
5-(x-6)=-7+3(-x+2)
Answer:
x=-6
Step-by-step explanation:
For this equation, when we remove the parenthesis, we get 5-x+6=-7+-3x+6.
Then we simplify both sides of the equation, so we get 11-x=-1-3x. When we separate the numbers and variables, we get -12=-2x. -12/2 = -6.
15 points!
What is the correct answer for Claire's problem? Explain where she went wrong.
Answer:
it would be y=50+25x
Step-by-step explanation:
There is an extra $25 per room, and since we dont know how many rooms she has cleaned, we can use x to represent that amount. So for x amount of rooms, it will be an extra $25
Help it’s homework!!!!
Answer:
(3x - 3)(x + 2)
Step-by-step explanation:
3x^2 + 3x - 6
(3x^2 + 6x)(-3x - 6)
3x(x + 2) -3(x + 2)
(3x - 3)(x + 2)
What strategy would be the best to solve this problem? Ann-Marie bought apples. She kept one-third for herself and gave the rest to 4 friends. Each friend got 2 apples. How many apples did Ann-Marie buy? A. guess, check and revise B. work backwards C. use a formula D. look for patterns
Answer:
D. Look for patterns
Step-by-step explanation:
To solve :
Assume number of apples bought = x
Fraction kept = 1/3 of x
Fraction shared = (x - x/3) = (3x - x) /3 = 2x/3
Number of people who shared (2x/3) = 4 with each getting 2
Total number shared = 4 * 2 = 8
Fraction shared = total shared
2x/3 = 8
Multiply both sides by 3
(2x/3) * 3 = 8 * 3
2x = 24
x = 12
Hence, Anne-Marie purchased 12 apples
Find the equation of the line that passes through (2,8) and (6,48)
Answer: m = 10
.........................
What is the y intercept of this graph?. What is the slope?
Answer:
y intercept is -3
slope is 4
y=4x-3
Step-by-step explanation:
Please PLEASE help with these two math problems
1. 7^x ÷ 7^y =
2. z^10x^y ÷ z^5 =
Answer:
14
-25/1
Step-by-step explanation:
Whats the slope if this line??
Answer:
-1/4
Step-by-step explanation:
because its going up one over 4 and the lines negative!
Answer:
-1/4
Step-by-step explanation:
The slope is going down towards the right so it's negative. Rise-1 and you Run-4 so the answer is -1/4. Hope this helps :)
.4 ÷ 28.08 Dividing Decimals , Divide to the nearest Tenth??
I Will Give You 10 Points
Answer:
0
Step-by-step explanation:
The answer is 0.01424, but if you round it to the nearest tenth, you would end up with 0.
hey guys can you answer this one question real quick
Answer:
a. 1/5
b. (3, 3/5)
c. 1/5x = y
Step-by-step explanation:
Remember: (x, y)
0.5 = 1/2
(1/2, 1/10) = 1/10 ÷ 1/2 = 1/10 • 2 = 1/5, you can divide y/x = constant of proportionality. 1/10 ÷ 1/2.
1 2/5 = 7/5
(7, 7/5) = 7/5 ÷ 7 = 7/5 • 1/7 = 1/5, y/x = constant of proportionality. 7/5 ÷ 7.
a. 1/5 is the constant of proportionalityb. (3, 3/5) because 3/5 ÷ 3 or 3/5 • 1/3 = 1/5.c. 1/5x = yA student worked out an equation and below is his solution. is the answer correct? If not, where was the error and what is the correct answer?
-4(6-r)=12
-24-4R=12
-4R=36
R=-9
Answer:
His answer is wrong.
Step-by-step explanation:
-4(6-R)=12 <-- Since R is negative, -4 times -R results in a positive so, 4R.
-24+4R=12
+24 +24
--------------------
4R = 36
R= 9
Help please
And thank you so much
Answer:
$0.1 /lb.
Step-by-step explanation:
First, divide 1.99 by 19. You get 0.1047368421. To round it to the nearest hundred, look to the number 3 points away from the decimal, which is number 4. Since it is not 5 or greater, we round it down, and it would round down to 0.1.
Help THIS IS DUE IN LESS THAN A HOUR
Take that back, please delete this question.
Answer:
i beleive its b or d
Step-by-step explanation:
mostly b
What is the value of the expression (x – 2y) (x + 2y) when x= 4 and y=1/2
Answer:
15
Step-by-step explanation:
First you would plug in the 4 and 1/2 in the x and y's places, making the expression (4 - 2 (1/2))*(4 + 2 (1/2). Then you solve (below).
(4 - 2 (1/2))*(4 + 2 (1/2)
(4 - 1)*(4 + 1)
(3)*(5)
15
Hope this helped! If you have any questions, feel free to message me :)
Solve [X + 8) = 5
With steps
Answer:
X=(-3)
Step-by-step explanation:
1.Subtract 8 from both sides of the equation.-(x+0)=5-8-the 0 is there because the 8 on the left side is canceled out.
2.5-8 is all you have to look at.-when you look at this you know that it will be negative because 8 is on the right of the minus sign and it is greater than 5.
3.Use a calculator or you fingers to find answer.-(4,3,2,1,0,-1,-2,-3)
HOPE THIS HELPS!!!
Solve the equation given
x = - 4.
5 = x + 9
Answer:
x=-4
Step-by-step explanation:
You wrote the answer in the question, so there is really no question.
How it helps :)
how do you solve u = 3a/2 solving for a
Answer:
Step-by-step explanation:
a=2a/3. ✌️
Twice a number increased by 4 is at least 10 more than the number
Answer:
the twice as number increased by 4 is at least 10 more than a number .
2x + 4 ≥ x + 10
x ≥ 6
Step-by-step explanation:
Mark Brainliest
Answer:
2n+4 >= 10 + n
Step-by-step explanation:
solve for n , but remember the rules of dealing with inaqualities
WILL MARK BRAINLIEST PLZ ANSWER FAST GUYS AND GIRLS. Don't mind the second question. You can answer it if you want that will help me.
Answer:
1. 10d + 5n = 85
2. look at graph or graph coordinates (0, 17) and (8.5, 0) and make a line through them
3. 17 nickels since its only nickels, on the graph you see where the line hits the y-axis which is 17.
4. 8.5 dimes since its only dimes, on the graph you see where the line meets the x-axis which is 8.5
Step-by-step explanation:
y-axis is nickels
x-axis is dimes
320÷b∙20 and 320÷(b∙20) for b=4
Answer:
Step-by-4vttbrbwtetbb4tbtb44tny4ny4nyn4tbryn4y
step explanation:
Lincoln Cook has a check for $295.50 and a check for $6.25. He also has a $10.00 bill
He would like to receive $5.00 in cash and deposit the rest of the money in his say-
ings account. What is the total deposit?
Step-by-step explanation:
First, we need to add all the checks and money he has.
295.50
10.00
6.25
+________
3 6 1 . 7 5
Total- $361.75
Now, we have to subtract 5 from this.
361.75
5.00
-______
3 5 6 . 7 5
The total deposit is $356.75
Answer:
$306.75 is the right answer i just took the test.
Step-by-step explanation:
What is the pyhtagoream thereom and how can you use it to slove right triangles
Answer:
Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
a is one leg of the right triangle.
b is another left of the right triangle.
c is the hypotenuse of the right triangle.
We use the Pythagorean Theorem to help us solve for missing side lengths of a right triangle.
Filling up a tank of gas costs $36.96. If the tank holds 16.5 gallons of gas, then how much d
each gallon cost?
Answer:
$2.24 per Gallon
Step-by-step explanation:
36.96 divided by 16.5 is 2.24, then to check that multiple 2.24 by 16.5 and you get the total cost of 36.96. Hope this helps.