Mark all of the statements that are true.

What is -3(2x-3)=-15

Oksanka [162]

Answer:

18

Step-by-step explanation:

-3(2x-3)

-3x(-6)

-3x-6=18 because the negatives cancel each other out.

7 0

3 years ago

Read 2 more answers

- The dog trainer gives treats to 8 dogs as

elena55 [62]

Answer:

36 Treats

Step-by-step explanation:

The dog trainer started with a bag of 60 treats.

The dog trainer gives treats to 8 dogs with 3 treats meaning 8x3= 24

The trainer gave a total of 24 treats to the 8 dogs.

If the trainer had 60 treats at the start minus 24 (60-24=36).

That means the trainer now has a total of 36 treats left.

4 0

3 years ago

Given a function <img src="https://tex.z-dn.net/?f=f%28x%29%3D3x%5E4-5x%5E2%2B2x-3" id="TexFormula1" title="f(x)=3x^4-5x^2+2x-3"

Levart [38]

Answer:

$\huge\boxed{f(-1) = -7}$

Step-by-step explanation:

In order to solve for this function, we need to substitute in our value of x inside to find f(x). Since we are trying to evalue f(-1), we will substitute -1 in as x to our equation.

$f(-1) = 3(-1)^4 - 5(-1)^2 + 2(-1) - 3$

Now we can solve for the function by multiplying/subtracting/adding our known values.

Starting with the first term to the last term:

$3(-1)^4 = 3$

WAIT! How is this possible? $-1^4 = -1$ (according to my calculator), and $3 \cdot -1 = -3$ , not 3!

It's important to note that taking a power of a negative number and multiplying a negative number are two different things. Let's use $-2^2$ as an example.

What your calculator did was follow BEMDAS since it wasn't explicitly told not to.

BEMDAS:

- Brackets

- Exponents

- Multiplication/Division

- Addition/Subtraction

Examining the equation, your calculator used this rule properly. Note that exponents come over multiplication.

So rather than being "-2 squared" - it's "the negative of of 2 squared."

Tying this back into our problem, the squared method would only be true if it looks like $-1^4$ . However, since we're substituting in -1, it looks like $(-1)^4$ , so the expression reads out as "-1 to the fourth."