All categories

3 years ago

Algebra 2 please help ASAP

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

7 0

Answer:

No, Monica did not correctly factor out the GCF

Step-by-step explanation:

The given expression is $12x^3+6y^2+18xy+24x$

The prime factorization of each term are:

$12x^3y=2^2\times3\times x^3\times y$

$6y^2=2\times3\times y^2$

$18xy=2\times3^2\times x\times y$

$24x=2^3\times3\times x$

The greatest common factor is the product of the least powers of the common factors.

$GCF=2\times3=6$

The greatest common factor is 6.

If we factor the GCF, we obtain:

$6(2x^3+6y^2+3xy+4)$

Therefore Monica did not correctly factor out the GCF

You might be interested in

A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The

WARRIOR [948]

Answer:

The correct answer is 5.

Step-by-step explanation:

This is because if you divide 10 by 2 and -15 by 3

you get 5. Now to double check, you can do 10/5 and -15/5

This will give you 2, -3, which is the coordinates.

Hope this helps!

6 0

4 years ago

Read 2 more answers

Choose the equation below that represents the line that passes through the point (7, -2) and has a slope of -3

Norma-Jean [14]

Answer:

Option C

Step-by-step explanation:

All of these equation have a slope of x=-3, as this is the only number that will be acompanied by an x (the slope of a function is the number on the equation that has an X). To know which one of this equations passes through the points (7;-2) we can supplant these numbers on each equation until the result at both sides are equals.

The correct answer is the option c, because if we supplant these numbers (x=7 and y=-2) on the equation, we get an equality.

$y + 2 = -3. (x - 7) // -2 + 2 = -3. (7 - 7) //0 = 0$

7 0

4 years ago

What value of x makes x - 10 = -5 true?<br> -5 <br>15 <br>5 <br>-15

e-lub [12.9K]

Answer:

Step-by-step explanation:

x - 10 = -5

+ 10. +10

x = 5

hope this helps

5 0

3 years ago

The Pythagorean theorem is a2+b2=c2. Solve for b.

nata0808 [166]

Answer:

b = √c²-a²

Step-by-step explanation:

b² = c² - a²

b = √c²-a²

3 0

3 years ago

A group of students organized a car wash to raise money for a local charity. The students charged $8.00 for each car they washed

3241004551 [841]

Answer:

$320

Step-by-step explanation:

First, we can find how many cars they washed.

At 8 hours, they washed 32 cars, and since you still have two hours worth of cars to find, you can divide 16 by 2, and you get 8.

So in total, they washed 40 cars.

Now, you can multiply 40 by $8.00, and you get $320.

3 0

3 years ago

Read 2 more answers