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krek1111 [17]
3 years ago
7

Simplify

Mathematics
1 answer:
denis23 [38]3 years ago
7 0

Hello!

<u><em>Answer: </em></u>

<u><em>1. =-6</em></u>

<u><em>2. =39</em></u>

<u><em>3. =-603</em></u>

_________________________________________________

Explanation: This question's it's about the order of operations. It stands for p-parenthesis, e-exponents, m-multiply, d-divide, a-add, and s-subtract. It can also go left to right. (PEMDAS)

1. -4(3-1)+2

Do parenthesis first.

(3-1)=2

-4*2+2

Then do multiply left to right.

-4*2=-8

Add left to right.

-8+2

8-2=6

*Answer should be have negative sign.*

Answer: → \boxed{=-6}

______________________________________________________

2. 3⋅[(30−8)÷2+2]

Do parenthesis first.

(30-8)=22

22/2+2

Then divide left to right.

22/2=11

Add left to right.

11+2=13

Multiply left to right.

3*13=39

*Answer should be have positive sign.*

Answer: → \boxed{=39}

_____________________________________________________

3. 14(1-23)2+13

Do parenthesis first.

(1-23)=-22

14(-22)*2+13

Then, you multiply left to right.

14(-22)=-308

-308*2=-616

Add/subtract left to right.

-616+13

616-13=603

*The answer must be have a negative sign*

Answer: → \boxed{=-603}

____________________________________________________________

Hope this helps!

Thank you!

Have a great day!

-Charlie

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To answer this question, we need to remember some properties about the vertex of quadratic functions.

Let f(x)=ax^2+bx+c,~a\neq0. Its vertex can be found on the coordinates (x_v,~y_v) such that x_v=-\dfrac{b}{2a} and y_v=-\dfrac{b^2}{4a}+c, in which y_v=f(x_v).

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