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natta225 [31]
3 years ago
6

Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify the expression. 5 +

4 x (8 - 6) ^2
Mathematics
1 answer:
Anettt [7]3 years ago
4 0

Answer:

\Large\boxed{21}

Step-by-step explanation:

To solve this problem, first you have to use the order of operations stands for parenthesis, exponents, multiply, divide, add, and subtract from left to right. Remember to use the order of operations stands for "Please Excuse My Dear Aunt Sally."

Do parenthesis first.

\displaystyle(8-6)=2

\displaystyle 5+4\times2^2

Next, exponent.

\displaystyle 2^2=2\times2=4

\displaystyle 5+4\times4

Multiply & divide numbers from left to right.

\displaystyle 4\times4=16

Finally, add & subtract numbers from left to right.

\displaystyle 5+16=21

As a result, the correct answer is 21.

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Given that (ax^2 + bx + 3) (x+d) = x^3 + 6x^2 + 11x + 12, it asks a + 2b - d = ?
astraxan [27]

Answer:

a+2b-d=1, 3, 5, 7

Step-by-step explanation:

(ax^2+bx+3)(x+d)

ax^3+bx^2+3x+adx^2+bdx+3d

ax^3+bx^2+adx^2+3x+bdx+3d=x^3+6x^2+11x+12

ax^3=x^3, a=1

bx^2+adx^2=6x^2

x^2(b+ad)=6x^2

b+ad=6

b+(1)d=6

b+d=6

------------

3x+bdx=11x

x(3+bd)=11x

3+bd=11

-----------------

b=6-d

3+(6-d)d=11

3+6d-d^2=11

3-11+6d-d^2=0

-8+6d-d^2=0

d^2-6d+8=0

factor out,

(d-4)(d-2)=0

zero property,

d-4=0, d-2=0

d=0+4=4,

d=0+2=2

b=6-4=2,

b=6-2=4.

------------------

a+2b-d=1+2(2)-2=1+4-2=5-2=3

-------------------

a+2(4)-4=1+8-4=9-4=5

-----------------------

a+2(2)-4=1+4-4=5-4=1

-----------------------

a+2(4)-2=1+8-2=9-2=7

5 0
3 years ago
Read 2 more answers
Find area of a square garden having a length 45m ​
Oliga [24]

Answer:

A = 2025 ft^2

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

A = 45^2

A = 2025 ft^2

7 0
3 years ago
Read 2 more answers
What is 5/12 divided by 4/3
lions [1.4K]

Answer:

5/6

Step-by-step explanation:

0.41/1.33=0.3125=5/6

5 0
3 years ago
The diameter of a circle measures 28 mm. What is the circumference of the circle?
Papessa [141]

Answer:

C = 87.92 mm

General Formulas and Concepts:

<u>Symbols</u>

  • π (pi) ≈ 3.14

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Circumference Formula: C = πd

  • <em>C</em> is circumference
  • <em>d</em> is diameter

Step-by-step explanation:

<u>Step 1: Define</u>

Diameter <em>d</em> = 28 mm

<u>Step 2: Solve</u>

  1. Substitute in variables [Circumference Formula]:                                          C = 3.14(28 mm)
  2. [Circumference] Multiply:                                                                                 C = 87.92 mm
8 0
3 years ago
Put the correct answer.
Evgen [1.6K]

Answer:

D

Step-by-step explanation:

7 0
2 years ago
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