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Alisiya [41]
2 years ago
14

Mark all of the statements that are true.

Mathematics
1 answer:
aksik [14]2 years ago
4 0
C.,E
skjsjsnakakajJjjJjejekm
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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

<u><em>WAIT</em></u><em>!</em><em> How is this possible? </em>-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 <em>"-2 squared"</em> - it's <em>"the negative of of 2 squared."</em>

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 "<u><em>-1 to the fourth.</em></u>"

MULTIPLYING -1 by itself 4 times results in -1\cdot-1\cdot-1\cdot-1=1.

Applying this logic to our original term, 3(-1)^4:

  • 3(-1\cdot-1\cdot-1\cdot-1)
  • 3(1)
  • 3

Therefore, our first term is 3.

Let's move on to our second and third terms.

Second term: -5x^2

  • -5(-1)^2

Applying the same logic from our first term:

  • -5(-1 \cdot -1)
  • -5(1)
  • -5

Third term: 2x

  • 2(-1) = -2

-3 is just -3, no influence of x.

Combining our terms, we have 3-5-2-3.

This comes out to be -7, hence, the value of f(-1) for our function f(x)=3x^4-5x^2+2x-3 is <u>-7</u>.

Hope this helped!

4 0
3 years ago
Read 2 more answers
16. A rock weighs 6 and 1/2 tons. How many pounds does the rock weigh?<br> 2,000 lb = 1 T
Art [367]

Answer:

13000

Step-by-step explanation:

1 = 2,000 pounds

0.5 tons = 1000 pounds

8 0
2 years ago
Read 2 more answers
2x=10y+14, 6x-2y=2x+28 how do I solve this problem using algebraic method?
yuradex [85]
PEMDAS- Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction.

4 0
3 years ago
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