Which expressions are completely factored? Select each correct answer. 30a6−24a2=3a2(10a4−8) 16a5−20a3=4a3(4a2−5) 12a3+8a=4(3a3+2a) 24a4+18=6(4a4+3)

When factoring an expression, we need to identify the Greatest Common Factor of the expression (GCF). By definition, GCF is the product of prime factors involved with its Lowest Exponent.

We need to divide each term by the GCF to get the expression inside the parenthesis.

[tex] 30a^6-24a^2\\ GCF\; is \; 6a^2\\ \\ 30a^6-24a^2=6a^2(\frac{3a^6}{6a^2} -\frac{24a^2}{6a^2} )=6a^2(5a^4-4)\\ ---------------------\\ \\ 16a^5-20a^3\\ GCF \; is \; 4a^3\\ \\ 16a^5-20a^3=4a^3(\frac{16a^5}{4a^3} -\frac{20a^3}{4a^3})=4a^3(4a^2-5) \\ ---------------------\\ \\ 12a^3+8a\\ GCF \; is \; 4a\\ \\ 12a^3+8a=4a(\frac{12a^3}{4a}+\frac{8a}{4a})=4a(3a^2+2)\\ ---------------------\\ 24a^4+18\\GCF \; is \; 6\\\\24a^4+18=6(\frac{24a^4}{6} +\frac{18}{6})=6(4a^4+3) \\ --------------------- [/tex]

Conclusion:

From above we can conclude that the below expressions are factored completely

[tex] 16a^5-20a^3=4a^3(4a^2-5)\\ \\ 24a^4+18=6(4a^4+3) [/tex]

On Friday night, 165 people saw the dinosaur exhibit at the natural history museum. This amount represents 22% of the people who visited the museum that night.

Select from the drop-down menu to correctly identify the total number of people who visited the museum Friday night.

A total of people visited the natural history museum Friday night.

What is the solution of 3+ (x-2)/(x-3) <=4

X<3
X<=3
X>3
X>=3

Answer for function

please help :)
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Sam picked a card from a standard deck. what is the probability that sam picked a heart or a king? one over thirteen sixteen over fifty two

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The surface area of a cube is 150 cm2. what is the area of each face of the cube?

Carl puts 1.10$ in his penny bank every day in the month of July (31 days). His total savings was 55.00$ at the end of June. What is the best estimate for Carl's savings at the end of July? (no I did not make a typo)

BRIANLIESTTTTTTTTTTTT ASAP!

A population of 55 foxes in a wildlife preserve doubles in size every 14 years. The function y equals 55 times 2 Superscript x ​, where x is the number of 14-year periods, models the population growth. How many foxes will there be after 28 ​years?

What is the equation of a line that is perpendicular to the line represented by y = 3/4 x - 1/2?

What is the set of all possible outcomes of a probability experiment?

For the quadrilateral shown below, what is m∠a + m∠c ? A.)53 B.)137 C.)180 D.)233

Kaylee is painting a design on the floor of a recreation room using equilateral triangles. She begins by painting the outline of Triangle 1 measuring 52 inches on a side. Next, she paints the outline of Triangle 2 inside the first triangle. The side length of Triangle 2 is 75% of the length of Triangle 1. She continues painting triangles inside triangles using the 75% reduction factor. Which triangle will first have a side length of less than 26 inches?

Please only math geniuses help, what is x+1/5y=-6 in slope intercept form?

help with geometry please! will mark brainliest

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Mrs. Pine took tennis lessons. She traveled 15 miles one way at an average cost of $0.45 per mile. Her racket cost $84, balls cost 15.50, shoes cost $47.00, her warm-up was $32, and her shorts were on sale for $22. She paid 5% sales tax on her equipment and $25.00 per lesson for 10 lessons. Including the cost of round-trip travel for all 10 lessons, what did this cost?
A. $474.03
B. $486.53
C. $595.53
D. $608.03

Select all of the following that are quadratic equations.

7x2 + 14x = 0
x3 - 3x2 + 1 = 0
5x - 7 = 0
x2 + 3x -5 = 0
x - 5 = 9x + 7
x2 - x = 3x + 7

Find the common ratio geometric sequence please

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If your front lawn is 15.0 feet wide and 20.0 feet long, and each square foot of lawn accumulates 1450 new snow flakes every minute, how much snow (in kilograms) accumulates on your lawn per hour? Assume an average snow flake has a mass of 1.70 mg.
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it's my first college chm and I forgot how to do such word problems, would you help me please, thank you

A large statue is in the shape of a square pyramid. Each side of the base of the square pyramid is 723 feet long and the height is 341 feet.

What is the volume of the statue?

___ft³

The sum of two integers is 26. The larger of the two integer is 2 more than 3 times the smaller integer

Then in a rectangle the ratio of the width to the length is 4:5 of the rectangle is 45 cm long what is the width

Please help thank you very much.

What is 38.224 rounded to the nearest whole number?

Given: ABCD is a rectangle, AC ∩ BD = O, m∠ABD=30°, AC=16 in. Find BC.
I need the answer to this question ASAP!


Thanks!

What effect does replacing x with 6 have on the graph for the function f(x)?
F(x)=|x+3|-2

which figure could be the intersection of two planes? A. ray B. line C. point D. segment