Drag each expression to match its equivalent expression. Each expression may be used only once.
Answers
Answer:
x^2 = 1 / x ^ -2
x^4 ÷ x^3 = x
(x^2)^2 = x^4
x^3 × x^3 × x^3 = x ^ 9
Step-by-step explanation:
By using law on indices the equivalent expression of x² = 1/x⁻²,x⁴ ÷ x³ = x,(x²)² = x⁴ and x³ × x³ × x³ = x⁹.
What is the law of indices?Index (indices) in Maths is the power or exponent which is raised to a number or a variable.
For example 5³ = 5²5 here we break 5³ into 5² and 5 so it is called the law of indices.
As per the given expression,
x² now by the law of indices that aˣ=1/a⁻ˣ.
Therefore,x² = 1/x⁻²
x⁴ ÷ x³ = x(x³)/x³=x
Now,
(x²)² the law of indices that (a²)³=a²ˣ³=a⁶
Therefore,(x²)² = x⁴
Now,
x³ × x³ × x³ the law of indices that aˣ × aˣ × aˣ =a⁽ˣ⁺ˣ⁺ˣ⁾
Therefore,x³ × x³ × x³ = x⁹
Hence "By using law on indices the equivalent expression of x² = 1/x⁻²,x⁴ ÷ x³ = x,(x²)² = x⁴ and x³ × x³ × x³ = x⁹".
To learn more about indices,
https://brainly.com/question/170984
#SPJ5
Related Questions
PLEASE PLEASE PLEASE HELP I DON'T GET THIS
LEAVE AN EXPLANATION IF POSSIBLE
What is the equation of a line that passes through the point (9, −3) and is parallel to the line whose equation is 2x−3y=6?
Enter your answer in the box
Answers
Answer:
y = 2/3x - 9
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
Point (9, - 3)
2x - 3y = -6
Step 2: Rewrite given equation
-3y = -2x - 6
y = 2/3x + 2
So our m = 2/3 (Parallel lines have the same slope but different y-intercepts)
Step 3: Find y-int of parallel line
y = 2/3x + b
-3 = 2/3(9) + b
-3 = 6 + b
b = -9
Step 4: Write parallel line equation
y = 2/3x - 9
a) X + 3 = 11 b) m + 5 = -2. c) y – 3 = 9
d) T – 11= -5
Help please thank you please help
Answers
Answer:
x=8,m=-7,y=12,t=6
Step-by-step explanation:
for x you add three too bothe sides
for m you subtract 5 from both sides
for y you add three to both sides
for t you add ll too both sides
Marcus is rewriting a polynomial by combining like terms. Which terms does he still need to combine to finish rewriting the polynomial?
-3mn^3 - 4n^4 + 2mn - 6n - 5mn^3 - 6m^3n
Answers
Answer:
-3mn^3 and -5mn^3
Step-by-step explanation:
had it correct on my test - PLATO
Marcus has to add -3mn^3 and -5mn^3 to complete the polynomial.
Marcus is rewriting a polynomial by combining like terms
What is polynomial?Polynomial equation is equation of independent variables.
Here, questions seems to be incomplete.
In polynomial, it can be of maximum endless number of term or minimum 1 term. Marcus can add any number or repeat any number. And if he revised the old number than the number could be -3mn^3 and -5mn^3.
Thus, Marcus has to add -3mn^3 and -5mn^3 to complete the polynomial.
learn more about polynomial here:
brainly.com/question/11536910
#SPJ2
Carolina is saving money to purchase a house. She inherits $15,000 and deposits it into the bank. She gains 12% simple interest for 8 years. How much money does she have after 8 years?
Answers
Answer:
16,437
Step-by-step explanation:
Write an equation of the line that passes through the point (0,4) and (2,6) in slope-intercept form.
Answers
Answer:
y=x+4
Step-by-step explanation:
Use slope formula: (y2-y1)/(x2-x1)
(6-4)/(2-0)
2/2
1
Slope Intercept Form: y = m(slope) times x plus b(y-intercept)
y=1x+b
Plug in one of your points into the equation:
4=1(0)+b
4=0+b
4=b
Final Answer: y=x+4
Sorry if this is confusing; this is my first answer.
Plz help with this question, I will mark you brainliest!
Answers
10.6
im assuming you dint need an explanation, just a quick answer. hmu if you do need one.
hope this helps x
help me plzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
12 is A, 13 is C
Step-by-step explanation:
I took the test. MARK AS BRAINLIST!
Which ratio is different from the others? > 8 to 15 ,15:8 ,8:15 8/15
Answers
How much money will Monique make if she works 10 hours this week as a lifeguard and also dog sits?
Answers
Answer: $140
Step-by-step explanation:
Answer:
140
Step-by-step explanation:
i did it before
At a store, the cost of 5 pounds of carrots is $3.35. Which statement about the cost per pound of carrots is true?
A. Subtract the total cost from the number of pounds to get $1.65 per pound.
B. Multiply the total cost by the number of pounds to get $16.75 per pound.
C. Divide the number of pounds by the total cost to get $1.49 per pound.
D. Divide the total cost by the number of pounds to get $0.67 per pound.
Answers
Answer: C
Step-by-step explanation:
I divide 5 by 3.35 and got 1.49
Answer:
C
Step-by-step explanation:
the answer is c bc if yu divide the number of pounds by the total cost
Solve 5x − 2(2x − 1) = 6
Answers
Answer: x = 8
Step-by-step explanation:
The answer begins with the distributive property, multiplying positive 2 times the elements in parenthesis.
5x - (2)(2x - 1) = 6
5x - 4x - 2 = 6
1x = 6 + 2
x = 8
6. In the quadratic equation x2 + 8x - 2 = 0, what are the values of a, b, and c?
a. a = 0, b = 3, C = -1
c. a = -3, b = 0, C = -1
b. a = 1, b = 8, C = -2
d. a = 3, b = 0, C = 1
Answers
Step-by-step explanation:
letter b ang sagot sa number 6
write the equation of the line parallel to 2x - 3y = 0 and passes through the point (5, 4).
Answers
Answer:
2x - 3y = 2Step-by-step explanation:
Parallel lines have same slope
Given line, in slope intercept form
2x - 3y = 03y = 2xy = 2/3xParallel line is
y = 2/3x + bUsing point (5, 4) to find b
4 = 2/3*5 + bb = 12/3 - 10/3b = 2/3y = 2/3x + 2/3 in slope-intercept form or
2x - 3y = 2 in standard form
PLEASE HELP
Given the line and a point on the line, what is the equation of the line in point-slope form?
A) y − (−1) = −3(x − 5)
B) y + (−1) = −3(x − 5)
C) y − (−1) = −3(x + 5)
D) y + (−1) = −3(x + 5)
Answers
C)y-(-1)=-3(x+5)
What value of n makes 4n +20 = 4? *
Answers
Step-by-step explanation:
Answer:-[tex]\sf{4n+20=4}[/tex]
[tex]\sf{4n=4-20}[/tex]
[tex]\sf{4n= -16}[/tex]
[tex]\sf{n=\dfrac{-16}{4}}[/tex]
[tex]\sf{n = -4}[/tex]
Hope it helps :)
Answer:
-4
Step-by-step explanation:
To solve, you need to isolate the number with the variable (in this case, 4n). To do that, get rid of the 20 on the left side. To do THAT, do the opposite which is subtract; do it to both sides. This leaves you with 4n= -16.
Now, to get rid of the 4 and be left with just the n, do the opposite of what is given. In this case, n is multiplied by 4 so divide by 4 on both sides to isolate n. This gives you the answer of -4.
Hope it helps!
Solve:
-x/6 + 3 =8
2/7(x) = 10
-10x = -100
Answers
Answer:
-x/6 + 3 =8
x = -30
2/7(x) = 10
x = 35
-10x = -100
x = 10
If you travel 1000 feet in 5 minutes, what is your speed per minutes?
Answers
Answer: 200 feet
Step-by-step explanation:
1000feet/5feet= 200feet
Answer:
200 feet per minute
Step-by-step explanation:
Speed = Distance/Time
Since you want to find the "per minute", you would just divide the total distance by the number of minutes:
1000 feet / 5 minutes = 200 feet per minute
Who is better Eddie Vr or Josh Dub
Answers
no explanation
Mrs Thomas walks3/4 of a mile every 1/3 of an hour.How far can she walk in an hour?
Answers
Answer:
2.25 miles
Step-by-step explanation:
If she can walk 3/4 of a mile in 20 minutes you need to multiply 3/4 by 3 because 20 times 3 is 60 and there is 60 minutes in a hour
Basic math equations and calculations play an important role in many jobs tasks. If you were working at a grocery store and your cash register was not automatically calculating the 20% off sale on someone's cereal--how would you solve this issue from the options listed below? If the cereal was normally $2.88, I would... 1 point Take $2.88 and times it by 80 for a sale price of $2.30. Subtract $0.20 for a sale price total of $2.68. Divide 20 from $2.88 for a sale price total of $0.15.
Answers
Given :
Price of cereal without off, C = $2.88 .
Percentage off, P = 20% .
To Find :
Price after applying 20% off.
Solution :
Final price = Initial price - 20 % of initial price
[tex]F = 2.88 - 2.88\times \dfrac{20}{100}\\\\F=2.88-0.576\\\\F=\$ 2.304[/tex]
Therefore, final price after sale is $2.304 .
Hence, this is the required solution.
Which of the following linear equations is in standard form? A. 3x + 2y = 3 B. 2y = 3x - 2
C. y = 3x - 2 D. 3x + 2y - 2 = 0
Answers
Answer: A
Step-by-step explanation: The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y).
Write the equation of a line ( slope intercept form y = mx + b)
Answers
Answer:
y=1/4x-1
Step-by-step explanation:
i knew the general equation of the line and i knew the slope would be a fraction because the line is rlly flat
-1 would be the b and i plugged in simple fraction values for m
i checked in desmos and they look similar
hope this helps and is correct <3
4 A Math (CO) / Module 2
4. Jaclyn has a piano lesson every 7th day. She has a flute lesson every 14th day. What are the first 2 days she will have both lessons on the same day?
O 14th day, 30th day
O 14th day and 28th day
O 28th day, 42nd day
O 7th day, 14th day
Answers
Answer:
14th day and 28th day
Step-by-step explanation:
7×2=14 14×1=14 14×2=28 7×4=28
14) Ms. Lopez has $118 for tickets at the Sports Fun Park. She needs to buy 1 adult ticket for $19. How many child tickets can she buy if child tickets cost $12 each?
A) 5 child tickets
B) 6 child tickets
C) 7 child tickets
D) 8 child tickets
15) In 14, Ms. Lopez changed her plans and decided to purchase another adult ticket and 6 child tickets. How much money will she have left?
$5
$6
$7
$8
Answers
Answer:
14=D
15=D
Step-by-step explanation:
If I got a 60 on a test , and I have a 92 in that class , what will my grade be ? (please answer i am stressing so much I might get gray hairs)
Answers
Answer:
There's no way to answer this question 100% accurately, because we don't know your teacher's grading scale, or how much tests and quizzes are weighted for your grade in the class. That being said, one test shouldn't bring your grade down too much. As the year goes on, and more assignments are put in the gradebook, it will even out. If you get a 100 percent on 3 tests, and a 60 percent on one test, it evens out to a 90 percent.
If you need more help, type in "Rogerhub grade calculator." It's a website that is very helpful in calculating your grade for the year. Hope this helps! :)
Find the answer for x.
Answers
Answer:
x=25
Step-by-step explanation:
since this is a triangle you would add up all the measure of this and set it equal to 180. 90 is the side with the box. so it would be 2x+15+x+90=180 then solve for x and you would get your answer.
An alligator hatchling grew 272.5 inches after six years this length is 10 times it’s hatchling size if you want to know it’s hatchling size should you multiply or divide 72.5 by 10 explain
Answers
The following are trinomial EXCEPT.
A. x+7 B. 5x²+2x-7
C. 7x³+2x+5 D. 7x⁴+3x-9
Answers
Answer:
A)
Step-by-step explanation:
Trinomial expression had 3 terms. Here x + 7 has only 2 terms. So, it is not a trinomial
What is the slope of the line that passes through
the points (-1,3) and (5, 7)?
Answers
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
For this situation we will use this equation:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
This lets us find the slope from a set of points (m being the slope of course), with each one representing a coordinate from our set. (e.g. 7 could be [tex]y_{2}[/tex])
First let's define which coordinates will represent each:
(-1,3): [tex]x_{1} ,y_{1}[/tex]
(5,7): [tex]x_{2} ,y_{2}[/tex]
Now that we have this, we can fill in our coordinates: [tex]m = \frac{7-3}{5-(-1)}[/tex]
Next we simplify: [tex]m = \frac{4}{5+1}[/tex] (double negative = positive)
And simplify some more: [tex]m = \frac{4}{6}[/tex]
Finally, we find the GCF (greatest common factor) of 4 and 6, which is 2, and divide by that to further simplify the fraction: [tex]m = \frac{2}{3}[/tex]
Therefore, the slope of the line that passes through the points (-1,3) and (5,7) is [tex]\frac{2}{3}[/tex].
Translate the equation into a verbal expression.
4(n - 7) = 32
Answers
Answer:
the product of 4 and a number decreased by 7
Step-by-step explanation:
