Find the greatest common factor (GCF) for 10x2 and 15xy2.

Answers

Answer 1

Answer: This answer uses NMF, which if needed you can read the syntax on my profile:

If we do a partial prime factorisation, we get these, where a and b are the sets containing the prime factors:
a = 10•2 = 20 = {2}^{2}•5
b = 15x{y}^{2} = 3•5•x•{y}^{2}

a∩b = {5}
multiply the elements of a∩b = 5

Therefore the GCF of 10•2 and 15•x•{y}^{2} is 5

Related Questions

Zx5+3 please help me
Walter has 5 baseball caps. Three of the caps are black. One of the caps is blue and one is red. What fraction of the caps is blue?
Which statement best describes why there is no real solution to the quadratic equation y = x^2 - 6x + 13?The value of (-6)2 - 4 • 1 • 13 is a perfect square.The value of (-6)2 - 4 • 1 • 13 is equal to zero.The value of (-6)2 - 4 • 1 • 13 is negative.The value of (-6)2 - 4 • 1 • 13 is positive.
Graph and solve y+3X=5
Create a graph of the combined function h(x) = f(x)/ g(x) in which f(x) = x - 6 and g(x) = x + 6.On your graph, show the graphs of f(x) and g(x) also.

An elevator can carry 800 pounds of weight. A student weighing 95 pounds gets on the elevator. Write and solve an inequality to represent the remaining weight that can be added.

Answers

It would be 95x less than or equal to sign 800

Final answer:

To represent the remaining weight that can be added to the elevator, write and solve the inequality 800 - 95 ≥ x. The remaining weight is 705 pounds or less.

Explanation:

To represent the remaining weight that can be added to the elevator, we can use an inequality. Let's assume that the remaining weight is represented by 'x' pounds. The total weight the elevator can carry is 800 pounds. So, the inequality can be written as:

800 - 95 ≥ x

To solve the inequality, we subtract 95 from both sides:

x ≤ 800 - 95

x ≤ 705

Therefore, the remaining weight that can be added to the elevator is 705 pounds or less.

Learn more about Inequality here:

brainly.com/question/32625151

#SPJ2

The value of a boat, in dollars, x years after its purchase is represented by the function.f(x)=10,000(0.73)^x

What is the average decrease in value per year between years 1 and 2?

Answers

Given the function f(x) = 10000(0.73)^x

Where y is The value of a boat, in dollars, x years after its purchase
at x = 1
f(1) = 10000(0.73)^1
f(1) = $7300
at x = 2
f(2) = 10000(0.73)^2
f(2) = $ 5329
so the decrease
D = $7300 - $ 5329
D = $ 1971

Answer:

The correct answer is $1971.

I just took the test and got it right.

In which quadrant is the number –14 – 5i located on the complex plane?I
II
III
IV

Answers

Answer:

III

Step-by-step explanation:

- 14 tell you that you should be moving left of (0,0) That makes the answer either in quad 2 or quad 3.

- 5i tells you that you are moving down. That tells you that you are moving down.

You are in quad III. It the question was -14 + 5i, you would be moving left and up. That would put you in quad II.

Answer: III

Step-by-step explanation: on edg

Need help please!!!!!!!

Answers

Answer:

First Option {-2 , 0 , 2}

Step-by-step explanation:

A critical point occurs when the derivative is 0 or undefined.

The function in the question is undefined at x = 2 and at x = -2 because if we put x = 2 or x = -2 the denominator becomes 0 hence anything divided by 0 is undefined, and the derivative equals 0 at x = 0 so the critical points are

{-2 , 0 , 2}

Use the quotient rule to find the derivative of the function then equal it to zero

$y=(x^2-1)/(x^2-4)\n\n(dy)/(dx)=((x^2-4)(2x)-(x^2-1)(2x))/((x^2-4)^2)\n\n0=((x^2-4)(2x)-(x^2-1)(2x))/((x^2-4)^2)\n\n0=2x^3-8x-2x^3+2x\n0=-6x\nx=0$

I believe it’s the last one
Mark brainliest if satisfied

Food services for a school district examined the choices of side dish for students at three types of schocdistrict: elementary school, middle school, and high school.
Side Dish Chosen
French Fries
Carrot Sticks
Apple Wedges
Td
Elementary
85
35
23
1
Type of School Middle
56
42
31
12
High
47
45
36
12
Total
188
122
90
Given that a student chose apple wedges, what is the probability that the student is in high school?
40
O 9.0%
O 22.5%
O 28.1%
O 40.0%

Answers

The probability of chosen student choosing apple wedges and he is from high school is 9% so option (A) is correct.

What is probability?

The probability of an event occurring is defined by probability.

Probability is also called the chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

Do not take underestimate probability it has several uses in daily life whether forecasts or like that.

In our daily time, there are several instances in the everyday world where we may need to draw conclusions about how everything will turn out.

Probability of choosing apple wedges and he is from high school ⇒

P(Apple wedge and high school) = P(Apple wedge) × P(high school/apple wedge)

Now,

Probability = desired/total

So,

P(Apple wedge) = 90/400

Now,

P(high school/apple wedge) = 36/90

So,

P(Apple wedge and high school) = (90/400) × (36/90)

P(Apple wedge and high school) = 0.09 ⇒ 9%

Hence "The probability of chosen student choosing apple wedges and he is from high school is 9%".