Answers
Answer: C:4x^2 square root of 3x
Step-by-step explanation:
Just got it right on Plato
C. 4[tex]x^{2} \sqrt{3x}[/tex] is equivalent to the expression [tex]\sqrt{48x^{5} }[/tex] if x>0
What do you mean by equivalent algebraic expression?An algebraic expression may be a blend of constants, coefficients, factors, and scientific operations. An algebraic expression can comprise of a number of terms or a few. Equivalent algebraic expressions are expressions that appear different but work the same way. If two algebraic expressions are equal, then on assigning the same value to the variables the two expressions will give the same value.At least two expressions are required to check for equality and You can substitute in nearly any value for the variable when trying to determine if two expressions are equivalent.
Expression:
[tex]\sqrt{48x^{5} }[/tex] if x>0
= [tex]48^{1/2}(x^{5})^{1/2}[/tex]
= [tex]48^{1/2}x^{5/2}[/tex]
= (2×2×2×2×3[tex])^{1/2}x^{5/2}[/tex]
= 2×2×[tex]3^{1/2}[/tex]×[tex]x^{5/2}[/tex]
= 4[tex]\sqrt{3} x^{5/2}[/tex]
= [tex]4\sqrt{3}x^{2} x^{1/2}[/tex]
= [tex]4x^{2} \sqrt{3x}[/tex]
Therefore, [tex]\sqrt{48x^5}[/tex] = [tex]4x^{2} \sqrt{3x}[/tex] if x>0
Hence, 4[tex]x^{2} \sqrt{3x}[/tex] is equivalent to the expression [tex]\sqrt{48x^{5} }[/tex] if x>0
Learn more about the expressions from the link.
https://brainly.com/question/22048677
#SPJ2
Related Questions
Type the correct answer in the box. Use numerals instead of words.
Laura is a single taxpayer. She has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for 2 years. Use the tables to complete the statement.
Single Taxpayers: Income Brackets
Tax Rate Income Bracket
10% 0 to 9,525
12% 9,526 to 38,700
22% 38,701 to 82,500
24% 82,501 to 157,500
32% 157,501 to 200,000
35% 200,001 to 500,000
37% > 500,000
Single Taxpayers: Qualified Dividends and Long-Term Capital Gains
Tax Rate Income Bracket
0% 0 to 38,600
15% 38,601 to 425,800
20% > 425,800
The tax rate Laura will pay on her investment income is
%.
Answers
Answer:
22% because her taxable income will now be 40,000 dollars
Step-by-step explanation:
Answer:
15% Plato
Step-by-step explanation:
help mesothelioma this pleaseeee
Answers
Need help been trying for 20 min
Answers
Answer:
lol i think its false and ik the pain
Step-by-step explanation:
Solve for X.Just type the number only, the answer is a positive whole number
Answers
Answer:
7
Step-by-step explanation:
If line l is parallel to line m, therefore:
[tex] 16x + 22 = 134 [/tex] (alternate exterior angles are congruent)
Subtract 22 from each side
[tex] 16x + 22 - 22 = 134 - 22 [/tex]
[tex] 16x = 112 [/tex]
Divide both sides by 16
[tex] \frac{16x}{16} = \frac{112}{16} [/tex]
[tex] x = 7 [/tex]
Calculate the slope of the line passing through the points (4, 7) and (9, -1).
Answers
the answer is -8/5
ur welcome lolz
Answer:
The slope is -1.6
Explain why x^2 + 4x + 3 is factorable.
PLEASE I NEED HELP!!
Answers
Answer:
Step-by-step explanation:
In order to find the values to factorize the equation, we need to find the factors the factors of 3 that sum to 4
The factors of 3 are [tex]\pm: 1, 3[/tex]
We can make 4 with 1 + 3
Since all the values are positive, both of the factors will have addition
[tex]x^2+4x+3\\(x+3)(x+1)\\\\x^2 + x + 3x + 3\\x^ + 4x + 3[/tex]
Given the information in the diagram, which theorem
best justifies why lines e and f must be parallel?
оооо
alternate interior angles theorem
same side interior angles theorem
converse of the alternate interior angles theorem
O converse of the same side interior angles theorem
Answers
Answer:
the answer is D
Step-by-step explanation:
edu 2021
The ratio between the number of red and green marbles in a box is 3:7. How many marbles are in the box if there are 20 fewer red marbles than green marbles?
I need this ASAP!
Answers
Answer:
50 marbles
Step-by-step explanation: The difference between the ratio of the red and green marbles is 4 units and the number value is 20 so its safe to say that 4 units is equal to 20 and thus one unit is 5 and because of the fact that there is a total of 10 units of marbles in the box according to the ratio, just multiply 5 and 10 which you get 50.
4 units = 20
1 unit = 20÷4 = 5
Total = 10 units
10 unit = 5 ×10 = 50
Ans : 50 marbles
URGENT HELP PLEASE
Using the proof above, what is the reason for statement 6?
Answers
Answer:
ASA
Step-by-step explanation:
hope it helps ;)
What is the sum of all integers that are multiples of 4 from 1 to 150? *Show your solution*
Answers
There's a pretty simple formula to follow: count of multiples [tex]*[/tex] average of the multiple.
To find the average, we take the smallest multiple of 4 which is in the range of 1 and 150 which is 4 of course. And the largest would be 148 since that's the only number in the range. So now average them: [tex]\frac{4 + 148}{2} = \frac{152}{2} = 76[/tex]
Now we find the count of the multiples which is in the range of 1 to 150. To do that, we use this formula:
[tex]\frac{\text{largest multiple} - \text{smallest multiple}}{n} \\[/tex]
Here, [tex]n[/tex] is 4 so this would be:
[tex]\frac{148-4}{4} = \frac{144}{4} = 36[/tex]
This would give you the exclusive count of all the numbers, but we want the inclusive count so, we simple add 1 so the count would be [tex]37[/tex]
Now following the 1st formula we get: [tex]37 * 76 = 2812[/tex]
So the answer would be 2812! :D
And here's the check too:
Find the value of c that completes the square
x^2-16x+c
Please help me with how to do this, and show me. Thank you.
Answers
Answer:
The value that completes the square is: c=8
Step-by-step explanation:
Find the value of c that completes the square [tex]x^2-16x+c[/tex]
The formula used is: [tex]a^2-2ab+b^2=(a-b)^2[/tex]
In the question given the value c can be found by breaking the middle term. we are given -16x while the general formula is 2ab for middle term so,
2(x)(8) = 16x
so, c= 8
Solving:
[tex]x^2-16x+c\\=x^2-2(x)(8)+(8)^2-(8)^2\\=(x-8)^2-64[/tex]
So, the value that completes the square is: c=8
The m∠1 is the 63° angle. What is the measure of angle 1? degrees
Answers
Answer:
117 degrees
Step-by-step explanation:
theres no picture and not alot of context so i just subtracted 180 and 63
Answer:
The supplement of, and 117.
Step-by-step explanation:
Mr. Lopez went on a bike ride. Every time he stops to drink water, his bike ride takes 3
minutes longer. If he stops to drink water 6 times, how much longer does his bike ride
take? (Input the number only for your answer)
Answers
Answer:
18
Step-by-step explanation:
6 breaks x 3 minutes each
= 18 minutes
Help PLEASE HELP IT FOR MY LOTTLE SIS AND I stink at math soHELP!!
Answers
Answer:
3, 6, 15, 12, 33, 16, 3a, 4b
All the fractions can simplify to 2/3
Answer:
3, 6, 15, 12, 33, 16, 3a, 4b
Step-by-step explanation:
re the same except you have to add the variable letter in front of them.You can multiply or divide 4/6 to fill in the blanks for the other ones. The last 2 with variables are the exact same, but you have to add the variable letter as well. Please correct me if I am wrong because everybody makes mistakes.
Help it’s an easy question I’m just dumb please help me!
Find the x-intercept of the rational function.
A. (0,-2)
B. (-2,0)
C. (0,5)
D. (5,0)
Please explain how you got your answer. Thanks
Answers
Answer:
c
Step-by-step explanation:
c i think
You save 40% of every check you get. Each check is $2,300. How much of the check do you not save?
Answers
Answer:
$1380 is left of the check
Step-by-step explanation:
2300 times .40 is 920
920 minus 2300 is 1380
( IF THIS IS CORRECT CAN I GET BRAINLYEST)
3(x+5)-10 = -2(x+10)
Answers
Answer:
x=−5
Step-by-step explanation:
calculator
help pls i need it a lot hi
Answers
Answer:
Answer is Q,R,P
Hope it helps....... pls mark as brainliest
Answer:
The second: ∠Q, ∠R, ∠PStep-by-step explanation:
In every triangle the largest angle is oposite to the longest side and the smaller angle is oposite to the shortest side
the longest side is PR=15, so the largest angle is Q
the shortest side is QR=7, so the smallest angle is P
A 25 kg rock , is raised to the top of a hill 10 m high. What is the Potential Energy of the rock ?
Answers
Answer:
2450 J
Step-by-step explanation:
mass(m)=25kg
height(h)=10m
gravity(g)=9.8
now,
PE=mgh
=25×10×9.8
=2450J
ANS
A streetlight that is 10 feet tall casts a 2.5-foot-long shadow. A nearby flagpole casts a 9-foot-long shadow. What is the height of the flagpole?
Answers
Answer:
The height of the flagpole is 36 feet
Step-by-step explanation:
The given parameters are;
The height of the street light = 10 feet
The shadow cast by the streetlight = 2.5 feet
The shadow cast by the flagpole = 9 foot
The height of the flagpole is given as follows;
The height of the street light/(The shadow cast by the streetlight) = (The height of the flagpole)/(The shadow cast by the flagpole)
∴ The height of the flagpole = (The shadow cast by the flagpole) × (The height of the street light)/(The shadow cast by the streetlight)
By substituting the values, we get;
The height of the flagpole = 9 ft. × 10 ft./2.5 ft. = 36 feet
The height of the flagpole = 36 feet.
plsssssssssssssss help
Answers
Answer:
(D). (8, - 5)
Step-by-step explanation:
Coordinates of a center of a circle (x - h)² + (y - k)² = r² is (h, k)
Coordinates of the midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )
(x² - 10x + 25) + (y² + 2y + 1) = 25
(x - 5)² + (y + 1)² = 5²
(5, - 1) are coordinates of the center of the circle and (5, - 1) is a midpoint of the segment connected (2, 3) and (x, y)
5 = (2 + x) / 2 ⇒ x = 8
- 1 = (3 + y) / 2 ⇒ y = - 5
(D). (8, - 5)
Find the circumference a circle with the diameter AB
A (-8,4) and B (4,-1)
Answers
Answer:
C = 13π ≈ 40.82 units
Step-by-step explanation:
C = 2 r π = d π
AB = [tex]\sqrt{(-8-4)^2 +(4+1)^2}[/tex] = 13 units
C = 13π ≈ 40.82 units ( π ≈ 3.14 )
Classify each number below as an integer or not.
Answers
Answer:
43 - Yes
15/3 - No
15/11 - No
-93.98 - No
-136.94 - No
Hope This Helps!
Explain the rules for multiplication and division to convert units. How do you know when to multiply and when to divide to convert units of measurements
Answers
Answer:
The basic rule is: If you need to convert from a larger unit to a smaller unit, multiply. If you need to convert from a smaller unit to a larger unit, divide. You will make the number smaller and, as you already know, division is all about making numbers smaller.
Answer:
addiemoss23/this person wrote this NOT me, it is right btw
Step-by-step explanation:
To convert units into smaller units, multiply. When the units are smaller , you need more of them to express the same measure. To convert smaller units to larger units, divide. When the units are larger , you need fewer of them to express the same measure.
Find the values of and y.
Answers
Answer:
Step-by-step explanation:
2y = 58
y=58/2
y = 29
58 + 2x = 180
2x = 122
x = 61
BRAINLIEST
PLS HELP ASAP IM FAILING
Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4.6), and D(2,2). If it is
reflected over the x-axis, what are the coordinates of B'? (Answer as an ordered pair without spaces)
pair without spaces)
Answers
Answer:
B' (0,-4)
Step-by-step explanation:
When a point undergoes a reflection across the x-axis, it follows this transformation:
(x, y) --> (x, -y)
(0, 4) --> (0, -4)
this 5th question ...please answer
Answers
Answer:
Im 47 and i have no idea
Step-by-step explanation:
thanks for 5 points
Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answers
Answer:
14
Step-by-step explanation:
andy incorrectly solved an equation and showed his work.
step 1: 5 (2r + 5) = 100
Step 2: 10x + 5 = 100
Step 3: 10x = 95
Step 4: x = 9.5
What error did Andy make, and what is the correct solution to his problem?
a: Andy made an error with the distributive property in step 2, x = 7.5
b: Andy made an error with the distributive property in step 2, x= 12.5
c: Andy made an error with the associative property in step 2, x= 7.5
d: Andy made an error with the subtraction property in step 2, x= 12.5
Answers
Can someone check this for me! I am not sure if I did this right
Answers
9514 1404 393
Answer:
8 seconds
Step-by-step explanation:
Your answer is the time interval at which the projectile is at or above ground level.
The way I read the question, it is asking for the value of t when the projectile hits the ground. It is 8 (seconds). My answer to this question would be 8, or 8 seconds.
__
Comment
We cannot tell whether the answer is intended to include units, or not. The usual clues are missing here.