Which expression is equivalent to 10x2y + 25x2?5x2(2y + 5)
5x2y(5 + 20y)
10xy(x + 15y)
10x2(y + 25)

Answers

Answer 1
Answer:

The expression 10x^2y + 25x^2 is an algebraic expression, and the equivalent expression of 10x^2y + 25x^2 is 5x^2(2y + 5)

What are equivalent expressions?

Equivalent expressions are expressions that have equal values, when evaluated

The expression is given as;

10x^2y + 25x^2

Factor out 5x^2

10x^2y + 25x^2 = 5x^2(2y + 5)

The above means that the equivalent expression of 10x^2y + 25x^2 is 5x^2(2y + 5)

Read more about equivalent expressions at:

brainly.com/question/2972832

Answer 2
Answer: 10 x^(2) y +25 x^(2) = 5 x^(2) ( (10 x^(2) y +25 x^(2) )/(5 x^(2) )) = 5 x^(2) ( (10 x^(2) y)/(5 x^(2) ) + (25 x^(2) )/(5 x^(2) ) ) = 5 x^(2) ( (2y)/(1) + (5)/(1) )

Answer A   5x² * ( 2y + 5)

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Let f(x) = 9x − 2 and g(x) = −x + 3. Find f(g(x)).

Answers

f(x) = 9x - 2
g(x) = -x + 3

f(g(x)) = 9(-x + 3) - 2
f(g(x)) = 9(-x) + 9(3) - 2
f(g(x)) = -9x + 27 - 2
f(g(x)) = -9x + 25
f(g(x))=9(-x+3)-2
So: f(g(x)=-9x+27-2=-9x+25

The number of roses (r) in a garden increases when the number of weeds (w) decreases. Write the correct equation for this scenario, and solve for the number of roses when there are 5 weeds.Weeds Roses
10 20
20 10

Answers

Number of roses (r) in a garden increases when the number of weeds (w) decreases, this supports an inverse relationship between the two variables. 
The formula is then therefore, r = k/w
Solve for constant first.
r = k/w
20 = k/10
200 = k

r=200/5
r=40 roses
40 roses when there are 5 weeds.


Answer:

The Inverse variation says that:

y \propto (1)/(x),

then the equation is of the form:

y = (k)/(x) or xy = k

Here, r represents the number of roses and w represents the number of weeds.

As per the statement:

The number of roses (r) in a garden increases when the number of weeds (w) decreases.

by definition of inverse variation:

rw = k          ....[1]

From the given table:

take any points

r = 20 and w = 10 then;

Substitute in [1] we have;

(20)(10)= k  

Simplify:

k = 200

The equation becomes: rw = 200  

We have to find the number of roses when there are 5 weeds.

⇒w = 5

then;

r(5) = 200  

Divide both sides by 5 we get;

r = 40

Therefore, the number of roses are 40 when there are 5 weeds.

Two quadratic functions are shown.Function 1:
f(x) = 3x2 + 6x + 7 Function 2:

x g(x)
−2 13
−1 7
0 3
1 7


Which function has the least minimum value and what are its coordinates?
Function 1 has the least minimum value and its coordinates are (−1, 4).
Function 1 has the least minimum value and its coordinates are (0, 7).
Function 2 has the least minimum value and its coordinates are (−1, 7).
Function 2 has the least minimum value and its coordinates are (0, 3).

Answers

The right answer for the question that is being asked and shown above is that: "Function 2 has the least minimum value and its coordinates are (0, 3)." the function that has the least minimum value and what are its coordinates is that Function 2 has the least minimum value and its coordinates are (0, 3).

Answer:

function b has the least minumum and it is (0,3) I just took the test

Step-by-step explanation:

“You can earn money by tutoring for $8 per hour and by walking dogs for $7.50 per hour. You have 15 h available to work. What is the greatest number of hours you can spend walking dogs and still make at least $115?”I need help

Answers

1.       Given numbers:
=> $8 per hour by tutoring
=> $7.50 per hour by walking the dogs
=> You have 15 hours available
=> You need to make atleast $115 in walking the dogs.

let’s assign a variable to use.
Let a = tutoring
Let b = walking the dogs
=> a + b = 15
=> 8a + 7.5b = 115
=> 8a + 7.5(15 - a) = 115
=> 8a = 112.5 = 115
=> 8a = 115 – 112.5
=> 8a = 2.5
=> 8a / 8 = 2.5 / 8
=> a = 0.3125
=> b = 15 – 0.3125
=> b = 14.6875




Answer:

14.6875

Step-by-step explanation:

Charlie has a piece of toast that has cream cheese on one side, and he dropped it once. One time, it landed with the cream cheese side up. If he drops it two more times, what is the probability that it will have landed cream cheese side up a total of three times?one over four
one over three
one over eight
three over four

Answers

Answer: first option, 1/4.

Explanation:

1) Every drop is an independent event. So, the joint probability is the product of the individual probabilities.

2) The fact that the piece ot toast landed once time with the cream cheese side up, does not affect the next two drops.

3) Since, the piece of toast landed the first time with cream cheese side up, the probability that it it will have landed cream cheese side up a total of three times is the probability that it will have landed two more times with cream cheese side up.

3) The probability that the piece of toast will have landed cream cheese side up two more times is 1/2 × 1/2 = 1/4. And that is the answer to the question.

Just multiply the probability of each instance together (in fraction form). 1/2 * 1/2 * 1/2 = 1/8.
However, be aware that this only works because it asked what the probability of it happening three times in a row. For example, if the question read, "What is the probability of this piece of bread landing butter side down, assuming it has already landed three times butter side down?", the answer would be 1/2 because the probability of previous incidents do not actually physically affect a future test.

Mrs. Chen owns two pieces of property. The areas of the properties are 77,120 square feet and 33,500 square feet. 43,560= 1 acre
Find the total number of acres Mrs. Chen owns, to the nearest hundredth of an acre and please explain how to do it.

Answers

First add the two areas of the properties together. 
77120 + 33500 = 412120 square feet
Divide this number by 43560 to get the number of acres.
412120/43560 = 9.46

Answer: 9.46 acres
Okay so there are two pieces of property Mrs. Chen owns, so in order to find the total number of feet, add 77,120 and 33,500.
77,120 + 33,500= 110,620
1 acre= 43,560
To find the total number of acres now, you divide 110,620 ÷ 43,560
and that equals about 2.54.  (Since you asked for the nearest hundredth of an acre)
If I'm wrong, please forgive me.
I notice that you are in high school and I am in middle school, so if I am wrong, I am so sorry. But if I'm correct, I hope this helped!
- Alina (: