b. Does a12 x a4 = a8 x a8 for all values of a? Explain.
Answers
Answer:
We can use the Laws of Exponent to rewrite both sides of the equation:
Let a¹² x a⁴ = a⁸ x a⁸
⇒ a¹²⁺⁴ = a⁸⁺⁸
a¹⁶ = a¹⁶ ✅
⇒ a¹² x a⁴ = a⁸ x a⁸ is true for all values of a.
Explanation:
The equation a¹² x a⁴ = a⁸ x a⁸ is true because, on both the RHS and LHS of the equation, both terms in 'a' have exponents that when added (Law of Multiplication of Exponents) are equal to each other, i.e. 12+4 = 8 + 8.
Related Questions
how to solve
2(x+6)=4
x=?
Answers
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
[tex]2(x+6)=4~(Given)\\\\2x+12=4~(Distribute~2~to~x+6)\\\\2x+12-12=4-12~(Subtract~12~on~both~sides)\\\\2x=-8~(Simplify)\\\\\frac{2x}{2}=\frac{-8}{2}~(Divide~2~on~both~sides)\\\\x=-4~(Simplify)[/tex]
Answer:
[tex]\boxed {x=-4}[/tex]
Step-by-step explanation:
[tex]2(x+6)=4[/tex]
Divide both sides by 2 :
[tex]\cfrac{2\left(x+6\right)}{2}=\cfrac{4}{2}[/tex][tex]x+6=2[/tex]Subtract 6 from both sides:
[tex]x+6-6=2-6[/tex][tex]x=-4[/tex]______________________
What are the values of each Halloween icon? (Math Logic Puzzles)
Answers
Witch hat = 5
Jack o' lantern = 2
Ghost = 7
Witch Pot = 10
7 x 5 = 35 + 5 = 40
10 x 2 = 20 + 2 = 22
7 + 10 = 17 + 10 = 27
2 x 5 = 10 + 7 = 17
7 + 7 = 14 + 5 = 19
1. 7x5+5=40
2. 10x2+2=22
3. 7+10+10=27
4. 2x5+7=17
5. 7+7+5=19
. The first day of a water polo tournament the total value of tickets sold was $17,610. One-day passes sold for $20 and tournament passes sold for $30. The number of tournament passes sold was 37 more than the number of day passes sold. How many day passes and how many tournament passes were sold?
Answers
Answer:
330 day passes, 367 tournament passes
Step-by-step explanation:
The number of day passes sold is 330, while the number of tournament passes sold is 367.
What is a System of equations?A set of simultaneous equations, often known as a system of equations or an equation system, is a finite collection of equations for which common solutions are sought.
Let the number of day passes sold be represented by x, while the number of tournament passes sold is y.
Given that on the first day of a water polo tournament, the total value of tickets sold was $17,610.
y = x + 37
Also, The number of tournament passes sold was 37 more than the number of days passes sold.
20x + 30y = 17610
20x + 30(x + 37) = 17610
20x + 30(x+ 37) = 17610
20x + 30x + 1110 = 17610
50x = 16,500
x = 16,500 / 50
x = 330
y = x + 37
y = 330 + 37
y = 367
Hence, the number of day passes sold is 330, while the number of tournament passes sold is 367.
Learn more about the System of equations here:
https://brainly.com/question/12895249
#SPJ2
Simplify 3a^2-a^2 pleassssewwwwwww
Answers
Answer:
2a^2
Step-by-step explanation:
p + 7 /8 = 18/ 12 what does p equal
Answers
Answer:
P = 5/8 or 15/24
Step-by-step explanation:
p = 18/12 - 7/8
p = 36/24 - 21/24
p = 15/24 ( Simplify )
p = 5/8
Answer:
Step-by-step explanation:
[tex]p+\dfrac{7}{8}=\dfrac{18}{12}\\\\p=\dfrac{18}{12}-\dfrac{7}{8}\\\\\\LCM \ of 8 \ and \ 12 \ is \ 24\\\\p=\dfrac{18*2}{12*2}-\dfrac{7*3}{8*3}\\\\p=\dfrac{36}{24}-\dfrac{21}{24}\\\\p=\dfrac{15}{24}[/tex]
[tex]p=\dfrac{5}{8}[/tex]
Davonte has a yearly gym membership. His yearly
membership fee is $25 plus he must pay $3 each
time he goes to the gym. Last year, Davonte payed
$250 for his gym access. How many times did he
go to the gym?
Answers
Answer:
sorry I don't know about it
Write the equation of the line in point-slope form.
Answers
Answer:
y= 4/3x+2
Step-by-step explanation:
the y intercept is at 2 and you do rise over run for m
what is the volume of the prism?
Answers
Answer:
Step-by-step explanation:
h = 3 ft
l*b = 25 sq.ft
Volume = l*b *h
= 25 * 3
= 75 cubic feet
Answer:
75ft
Step-by-step explanation:
First you mupilply [tex]25 x 3 = 75ft[/tex]
and that is it.
simplify
please anyone solve this please
Answers
Answer:
= a²-b²/a²b+ab²-a²b-ab²/a²b² =√√727+=% = infinite
Step-by-step explanation:
I'm not sure if this correct but hope it helps
Answer:
1
Step-by-step explanation:
This is the solution to your question . Hope it helps you !!
Help please due today
Answers
Answer:
Line a. goes to table 3, line b. goes to table 2, and line c. goes to table 1.
Step-by-step explanation:
Here are the 3 lines graphed (I even labeled each for you) so you can have a bit of a visual.
Hopefully you can find the points on each graph.
(Hint: The x row represents the x coordinate of an ordered pair, and the y row represents the y coordinate of an ordered pair.)
Ordered pairs look like this btw (x,y)
Hope this helps :)
The number 356 is between which pair of numbers? a. 340 and 350 b. 350 and 360 c. 360 and 370 d. 370 and 380
Answers
3/4+x=2x-x+ ?(need answer)
Answers
Answer:(x - 4)(2x + 3)
FOIL = first,outside,inside,last
F -- so multiply first terms in each set....(x)(2x)
O -- multiply outside terms in each set...(3)(x)
I -- multiply inside terms in each set....(-4)(2x)
L -- multiply last terms in each set.......(-4)(3)
Step-by-step explanation:
Kirsty is making a fruit drink for 9 people. How many oranges does she use?
Answers
Answer:
9
Step-by-step explanation:
Your classroom received 150 books. You are placing them in bins. Each bin holds 20 books. How many bins do you need? Remainder:
Quotient:
Answer:
how many bins do I need.
what to do with remainder
do l Ignored it or Round the quotient up
then explain
THANK U!!!
Answers
Answer:
you need 8 bins because 150/20 is 7.5 but you can't have half a bin and you need somewhere to put the other books
Multiply 6 times two-ninths.
After multiplying, the numerator is ?
After multiplying, the denominator is ?
Answers
Answer:
numerator - 4
denominator - 3
Step-by-step explanation:
6 × 2/9
12/9
4/3
Find the circumference of a wheel whose radius is 35cm. Find the distance covered in 60 seconds ,if it revolves 5 times per second
Answers
Answer:
hey I hope this is clear
Step-by-step explanation:
PLEASE ANSWER ALL THESE FOR 60 POINTS!!!
Answers
Answer:
Step-by-step explanation:
17. ≈ 1.41 + 5 = 6.41
18. ≈ 1.73 × 2.24 = 3.8752
19. ≈ 3.14 × 25 = 78.5
20. ≈ 2.24 × 2.24 = 5.0176
21. ≈ 10 - 2 × 3.14 = 10 - 6.28 = 3.72
22. I’m sorry. I don’t know.
please give me a brainliest answer
suppose 48 out of every 120 people like baseball. of the people who like baseball 3 out of 5 play base ball if you ask 500 people how many would play baseball
Answers
Answer:
120 people would play
Step-by-step explanation:
Which type of parent function is f(x) = ?
A. Square root
B. Reciprocal
C. Quadratic
D. Cube root
SUNMIT
Answers
Answer:
Write properties of function:
x intercept/zero: x = 0
Step-by-step explanation:
Write properties of function: Write properties of function:
x intercept/zero: x = 0
Answer: Write properties of function:
x intercept/zero: x = 0
fill in the blank
( ___-2a)^2=9b^2-___+___
Answers
Answer:
(3b-2a)^2=9b^2-12ab+4a^2
Step-by-step explanation:
Using the formula (a-b)^2=a^2-2ab-b^2, you can plug in the values to get your answer. (Sorry I can't really explain more, it's just using the formula. Hope this helps)
Whose sequence proves triangle ABC is congruent to triangle DEF? Why?
Answers
Answer:
If you are doing the same assignment as me then you probably have to choose between either Chanel or Preston and if my math is correct than the right answer would be Chanel.
The maximum throwing speeds of pitchers on one team are shown in the table.
A 1-column table with 6 rows. Column 1 is labeled Maximum pitching speed (miles per hour) with entries 75, 60, 63, 51, 45, 48.
The mean of the data set shown in the table is 57. What is the mean absolute deviation?
6
9
9.5
12
Answers
Answer:
9
Step-by-step explanation:
Before the sale, the store had 100 pairs of flip-flops in stock. After selling some they noticed that 3/5 of the flip flops they have left are blue. If the store has 39 pairs of blue flip flops, how many pairs of flip flops (any color) have they sold?
Answers
Answer:
35
Step-by-step explanation:
maths help me maths giving 10 point
Answers
fifteen is the same a one-fifth a number
15 = 1/5+x or 15 = 1/5x
Answers
Answer:
74/5
Step-by-step explanation:
15x5 =75 5ths. 1/5 + 74/5 = 75/5
matt is buying jeans and sweaters for his younger brothers. each pair of jeans will cost 22.50 and each sweater will cost 12.50. if matt spends a total of $200 at the clothing store and buys 12 articles of clothing, how many pairs of jeans and how many sweaters did he buy? you must create and solve the system for points
Answers
Answer: 220
Step-by-step explanation:
A- 22.50 x 12 = 270
B- 12.50 x 12 = 150
C- 270 + 150 - 200 = 220
ANSWER- 220
Helppppppp pleaseee tyy smmm
Answers
Answer: 56
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
pls help don't send links
Answers
Answer:
there is not any correct answer among the options.
the answer is
[tex] \frac{ - 21}{45} [/tex]
Simplify the expression!
-7/15
Evaluate 7 10 × 4 5 Give your answer in its simplest form.
Answers
The sides of a square have length s. Write a formula for the perimeter P of the square. Write a formula for the area A of the square.
Answers
Answer:
a
Step-by-step explanation: