Answer:
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]
[tex]a\ne 0; b \ne 0[/tex]
Required
Evaluate
[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]
Apply the following law of indices:
[tex]\frac{x^m}{x^n} = x^{m-n}[/tex]
So, the expression becomes:
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2-(-4)}[/tex]
Remove brackets
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2+4}[/tex]
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]
Answer:
D. a^3 b^4 / ab^2
Step-by-step explanation:
Solve the following system of equations:
y=2x + 1
y = -x+4
x= ?
y=?
Answer:
x= 1, y=3
Step-by-step explanation:
y= 2x +1
y= -x +4
Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.
so y= 2x+1 but y is -x+4 so substitute
-x+4 = 2x +1, add x on both sides
4= 2x+x +1, subtract 1 from both sides
4-1 = 2x +x, combine like terms
3 = 3x , divide both sides by 3
x=1
if x=1 we substitute in y= -1 +4 = 3
easy question. what’s the value of x :)))
Find the measure of
A real estate agency an agent salty house for 313,000. The commission rate is 4.5 for the real estate agency in the commission rate for the agent is 20% of the amount the real estate agent gets. How much did the agency make on the house? How much did the agent earn in comission
Answer:
313000/100 X 4.5 = 14085
14085/100 X 20 = 2817
14085 - 2817 = 11268
agency = 11268
agent = 2817
The length of a rectangle is 6 ft longer than its width.
If the perimeter of the rectangle is 68 ft, find its length and width.
Answer:
the length is 23 ft and the width is 11 ft
Step-by-step explanation:
68/4 = 17
17 17 17 17
11 11 23 23
Please help I’m confused also if you can’t see it just click on the picture.
Find the slope: change in y over change in x:
Slope = 30 - -5/ 6- -1 = 35/7 = 5
Find y intercept (the y value when x is 0)
Y = 5(0) = 0
There is no y intercept
The function rule would be:
Y = 5x
Step by step explanation
Answer: x = 4
Step-by-step explanation:
x/2=10/5
Multiply both sides of the equation by 2.
2⋅ x/2 = 10 /5 ⋅ 2
Simplify both sides of the equation.
Cancel the common factor of 2.
Rewrite the expression.
x= 2 ⋅ 10/5
Divide 10 by 5.
x= 2 ⋅ 10/5
Multiply 2 by 2.
x = 2 ⋅ 2
x = 4
please give brainiest :)
I NEED HELP PLEASE !!!
Answer:
The first choice
Step-by-step explanation:
Perpendicular lines intersect to form right angles, like the x- and y-axis on a coordinate plane.
Answer:
option 1 or A
Step-by-step explanation:
it is the definition of perpendicular lines
what is the solution of x in 2-3(6-2x)=1/2(10x-8)
Answer:
answer is 12
....
.
.
...
.
. :-)))
If 2+√2 and 2-√2 are the roots of the quadratic equation
-3x²+11x +c=0, find the value of c. The ans is -6,may you show me the steps?
hope it will help you..........
Is it A or D? im kind of confused
Solve the equation below for y.
12(y−8) = 14y−2
Answer:
y=-47
Step-by-step explanation:
12(y-8)=14y-2
12y-96=14y-2
-96=14y-2-12y
-96=2y-2
-96+2=2y
-94=2y
-94/2=y
-47=y
y=-47
Answer:
-47
Step-by-step explanation:
5j-5= 5
----
j5 true or false
help me with this please :)
Answer:
Parenthesis
Exponents
Multiplication and Division
Addition and Subtraction
Hope this helps!
When a ball is thrown into the air, it falls back to the round. What
causes this to happen?
A.The round shape of the ball.
B.The way the ball is thrown.
C.The force of air against the ball.
D.The force of gravity on the ball.
Answer:
force of gravity on the ball
Step-by-step explanation:
when you throw something up it will come down
PLEASE ASAP
What is the equation of the line passes through the point (-6, 6) and is parallel to the y=2/3x-1?
Answer:
y=2/3 x+10
Evidence:
Picture
Hope it helped!
i am trying to solve question two with the graphing method but can’t figure out how because there is only y=2.
Answer: look in the explanantion :)
Step-by-step explanation:
So basically when something is y=2, that means that its just a horizontal line at the number 2
so it would just be a straight horizontal line that is located at the y point of 2
The area of a circle will _____ be larger than the area of a polygon circumscribed about the circle.
always
often
sometimes
never
WILL MARK BRAINLIEST!!!!!! Which of the following graphs represent a function?
Answer:
The second one
Step-by-step explanation:
the semi circle
An apple tree measures 20 1/2 feet tal,over the next five years,it grew to the height of 28 feet. What was the average yearly growth of the apple tree
Answer:
6.4%
Step-by-step explanation:
We solve this question in using the population growth rate formula
P(t) = Po(1 + r)^t
P(t) = Population after t years = 28 ft
Po = Initial Population = 20 1/2 feet or 20.5 feet
r = Growth rate = ?
t = Time in years = 5
Hence:
28 = 20.5 (1 + r)⁵
Divide both side by 20.5
28/20.5 = 20.5 (1 + r)⁵/20.5
1.3658536585 = (1 + r)⁵
5th root both sides.
5√(1.3658536585) = 5√(1 + r)⁵
1.0643411027 = 1 + r
r = 1.0643411027 - 1
r = 0.0643411027
Converting to percentage
r = 0.0643411027 × 100
r = 6.43411027%
Approximately = 6.4%
The yearly growth rate of the apple tree = 6.4%
Peaches are being sold for $2 per pound. The customer created a model to represent the total cost of peaches bought
If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best
describes the values of x and y
Answer:
The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.Step-by-step explanation:
Answer:
if it is 2$ per pound then 2 time how much you are bying.
Step-by-step explanation:
At 3pm the outside Temperature was 4°F . The Temperature then fell steadily by 2°F every hour for the next four hours . What was the temperature at 7 PM
Answer:
Step-by-step explanation:
Temperature at 3pm: 4° F
After the decrease in temperature per hour by 2°F
Temperature at 4pm: 2°F
Temperature at 5pm: 0°F
Temperature at 6pm: -2°F
Temperature at 7pm:-4°F
Hence we can say that the temperature at 7pm is -4°F
Someone help 100 points and marking brainliest
Answer:
ehh....130 is your answer alr bye
the answer to your question is 130
What is the value of x in:
3x + 2(x + 1) = 12?
A.12
B.6
C.10
D.2
Answer:
D
Step-by-step explanation:
3x + 2(x + 1) = 12 ← distribute and simplify left side
3x + 2x + 2 = 12
5x + 2 = 12 ( subtract 2 from both sides )
5x = 10 ( divide both sides by 5 )
x = 2 → D
d .2
d will be the answer
by simplify
Which Unit lengths represent the sides of a right triangle
A. 3,4 and 5
B. 6, 8 and 15
C. 20, 21 and 29
D. 9, 12 and 15
Answer:
A 3, 4 and 5
Step-by-step explanation:
please solve these problems
Answer:
1/3x - 2y - 5x + 8
Step-by-step explanation:
Given:
1/3x - 2y - 5x + 8
1. There are four (4) terms in the expression: 1/3x, -2y, -5x, 8
2. Like terms are terms which have the same thing in common such as 1/3x, -5x in the expression
3. A constant is a term without a variable. 8 is the constant in the expression
4. The variables in the expression are: x and y
5. The coefficients are; 1/3, -2, and -5
The table shows the colors of marbles in a bag.
hat is the ratio of green marbles to the sum of red and yellow marbles in the bag?
Answer:
12:18
Step-by-step explanation:
Answer:
2:3
Step-by-step explanation:
green marbles: 12
red+yellow: 18
12:18
(divide by 6 on both sides)
2:3
Non linear??????????
Answer:
Yes. That is correct
Step-by-step explanation:
Dakota received a mark of 68% on his math test.
The test had 25 questions.
How many questions did Dakota answer correctly?
Which of the following statements is TRUE?
ps=10/3
pq=10
pr=10
sr=10/3
Answer:
10/3
Step-by-step explanation:
Answer: give that person brainliest
Step-by-step explanation: