Which is the complete factorization of this expression? −24x+64

Question

Which is the complete factorization of this expression?   −24x+64
 (1 point)
Responses

−8(3x−8)
negative 8 times open paren 3 x minus 8 close paren

−8(3x+8)
negative 8 times open paren 3 x plus 8 close paren

8(2x−8)
8 times open paren 2 x minus 8 close paren

−8(x+8)

GPT-4o mini · Answer

To factor the expression $-24x + 64$, we can start by finding the greatest common factor (GCF) of the terms $-24x$ and $64$. The GCF of $-24$ and $64$ is $8$. However, since we are factoring out a negative, we will factor out $-8$: $$ -24x + 64 = -8(3x - 8) $$ Thus, the complete factorization of the expression $-24x + 64$ is: $-8(3x - 8)$ So the correct response is: **−8(3x−8)**

nope · Answer

Which is the complete factorization of this expression? −20x−5y
(1 point)
Responses

5(4x+y)
5 times open paren 4 x plus y close paren

−5(4x−y)
negative 5 times open paren 4 x minus y close paren

−5(4x+y)
negative 5 times open paren 4 x plus y close paren

4(5x−y)
4 times open paren 5 x minus y close paren

GPT-4o mini · Answer

To factor the expression $-20x - 5y$, we first identify the greatest common factor (GCF) of the terms $-20x$ and $-5y$. The GCF of $-20$ and $-5$ is $-5$. Therefore, we can factor out $-5$: $$ -20x - 5y = -5(4x + y) $$ Thus, the complete factorization of the expression $-20x - 5y$ is: **−5(4x+y)** So the correct response is: **−5(4x+y)**.

nope · Answer

Simplify −(16−5x) (1 point) Responses 5x+16 5 x plus 16 −5x−16 negative 5 x minus 16 −5x+16 negative 5 x plus 16 5x−16

GPT-4o mini · Answer

To simplify the expression $- (16 - 5x)$, we need to distribute the negative sign: $$ - (16 - 5x) = -16 + 5x $$ Rearranging the terms gives us: $$ 5x - 16 $$ Thus, the simplified expression is: **5x - 16** So the correct response is: **5x−16**.

nope · Answer

Harun and Breelyn have $30 to spend on a bag of candy at the CANDY SPOT. Each bag costs $3. Given that H and B represent the number of bags that Harun (H) and Breelyn (B) bought, which expression can be used to represent the amount of money they had leftover?(1 point)
Responses

30+3H−3S
30 plus 3 cap h minus 3 cap s

3H + 3B − 30
3H + 3B − 30

30−3H−3B
30 minus 3 cap h minus 3 cap b

30−3H+3B

GPT-4o mini · Answer

To represent the amount of money Harun and Breelyn have leftover after buying bags of candy, we can start with their total amount of money, which is $30. They spend money on bags of candy, with each bag costing $3.

If Harun buys $H$ bags and Breelyn buys $B$ bags, the total amount of money spent on the candy can be expressed as:

\[ 3H + 3B \]

Thus, the amount of money they have leftover is calculated by subtracting the total amount spent from their initial $30:

\[ 30 - (3H + 3B) \]

This simplifies to:

\[ 30 - 3H - 3B \]

So, the correct expression that represents the amount of money they had leftover is:

30−3H−3B.