MATHEMATICS HIGH SCHOOL

Expand and simplify1) 3 ( 2x + 1 ) + 5x
2) ( x + 3 ) ( x + 4 )
3) ( x + y ) ^2
4) ( 2x + 1 ) ( x - 3 )​

Answers

Answer 1
Answer:

Question:

→To simple the given equations

  • ( 2x + 1 ) + 5x
  • ( x + 3 ) ( x + 4 )
  • ( x + y ) ²
  • ( 2x + 1 ) ( x - 3 )

Answer:

Part 1:

</strong><strong>\</strong><strong>g</strong><strong>r</strong><strong>e</strong><strong>e</strong><strong>n</strong><strong>{</strong><strong>step</strong><strong> \: 1</strong><strong>}</strong><strong>

→3 ( 2x + 1 ) + 5x

\green{step \: 2}

→6x + 3 + 5x

\green{step \: 3}

→\blue{11x + 3✓}

part 2:

\green{step \: 1}

→( x + 3 ) ( x + 4 )

\green{step \: 2}

→{x}^(2) + 4x + 3x + 12

\green{step \: 3}

→\blue{ {x}^(2) + 7x + 12✓}

part 3:

\green{step \: 1}

→( x + y ) ^2

\green{step \: 2}

→\blue{{x}^(2) + {y}^(2) + 2xy✓}

part 4:

\green{step \: 1}

→( 2x + 1 ) ( x - 3 )

\green{step \: 2}

→2 {x}^(2) - 6x + x - 3

\green{step \: 3}

→\blue{2 {x}^(2) - 5x - 3✓}

★What do you mean by simplifying an equation:

  • Simplifying an evaluation means to solve any difficult or easy equation in as simple form as possible .

★Steps we can do to simplify the equation:

  • Open brackets/parentheses to make the equation more simplified.

  • Add /subtract numbers or numbers with same variable/constant.

thankyou ❤️

Related Questions

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Frankie has $40 in his wallet. He decided to buy a pair of earrings for his mom for her birthday. He spent 25% of his money on the earrings. How much were the earrings?
Mr. Morgan has five daughters. They were all born the number of years apart as the youngest daughter is old. The oldest daughter is 12 years older than the youngest. What are the ages of Mr. Morgan's daughters?
Help ASAP!!!!Select all expressions that are perfect squares.Group of answer choices2x^2+20x+100 9x^2+24x+16 (7−3x)^2 (5x+4)(5x−4) (1−2x)(−2x+1) 4^2+6+9/4
[6.02] For the following system, if you isolated x in the first equation to use the Substitution Method, what expression would you substitute into the second equation?-x - 2y = -43x + y = 12

Convert the following to mixed numbersa. 13/12
b. 20/3
c.9/4
d.19/5
e.28/6
thank you!!

Answers

a. \n(13)/(12)=(12)/(12)+(1)/(12)=\boxed{1 (1)/(12)} \n \nb. \n(20)/(3)=(18)/(3)+(2)/(3)=\boxed{6 (2)/(3)} \n \nc. \n(9)/(4)=(8)/(4)+(1)/(4)=\boxed{2(1)/(4)} \n \nd. \n(19)/(5)=(15)/(5)+(4)/(5)=\boxed{3 (4)/(5)} \n \ne. \n(28)/(6)=(14)/(3)=(12)/(3)+(2)/(3)=\boxed{4 (2)/(3)}
A: (13)/(12)= (1+1*12)/(12)=1 (1)/(12) \n \n B: (20)/(3)= (2+6*3)/(3)=6 (2)/(3) \n \n C: (9)/(4)= (1+2*4)/(4)=2 (1)/(4) \n \n D: (19)/(5)= (4+3*5)/(5)=3 (4)/(5) \n \n E: (28)/(6)= (14*2)/(3*2)= (14)/(3)= (2+4*3)/(3)=4 (2)/(3)
Hope I Helped! :-)

A clothing store stocks socks made of either cotton or wool, each in five colors, and each in seven sizes. How many items are needed for a complete assortment?a)14
b)35
c)70

Answers

Answer:

Option: c is the correct answer.

             c)     70

Step-by-step explanation:

There are two choices in the quality of the item i.e. Cotton or wool.

There are 5 choice of color.

Also there are seven sizes.

Hence, in order to find the total number of items that are needed for a complete assortment we need to use to method of permutation.

i.e. the calculation is:

      2_P_1* 5_P_1* 7_P_1\n\n\n=(2!)/((2-1)!)* (5!)/((5-1)!)* (7!)/((7-1)!)\n\n\n=(2!)/(1!)* (5!)/(4!)* (7!)/(6!)\n\n\n=2* 5* 7\n\n\n=70

                Hence, the answer is:

                        c)   70
There are two types in five colours so 2x5=10. There are then seven sizes of each so 7x10=70. Your answer is C.70. I really need brainliest answers.

What is the mode for the set of data shown below?45, 23, 16, 78, 24, 39, 95, 23, 25, 93, 49, 45, 83, 90, 14, 23

A. 14
B. 23
C. 45
D. 95

Answers

The mode is 23, answer B. It is the most frequent number that is repeated the most times out of the whole set of data. Hope this helps! :)

The legs of a right triangle are 6 units and 7 units. What is the length of the hypotenuse?

Answers

Answer:

it is  square root 85 units

Step-by-step explanation:

How many cups of sugar is needed for 5 gallons

Answers

There are 16 cups in a gallon.

5 • 16 = 80

You need 80 cups of sugar for 5 gallons. 

Find the mode of these temperatures:a) 15°, 26°, 34°, 189, 15°
b) 78°, 62°, 85°, 57°, 68°
c) 80°, 68°, 75°, 80°, 78°

Answers

Answer:

a) 15°

b) No mode

c) 80°

Step-by-step explanation:

Mode:

The value/quantity that occurs most often is the mode of the data set.

Part a)

15°  (Occurs 2 times)

Part b)

No mode (Each value occurs equally i.e. 1 time)

Part c)

80° (Occurs 2 times)

\rule[225]{225}{2}

Hope this helped!

~AnonymousHelper1807

Answer:

The mode is no mode for the first and second but the third is 80

I am confused as to why there wasn't more than one of the same number for this problem

Remember that mode is the one that appears the most!

Step-by-step explanation:

A song that I learned in 4th grade by my teacher kinda helps with this lol:

Range is the maximum minus the minimum

The mode is the one that appears the most

The median is the one in the middle

Now you know about Data!

Just try and say that over and over or write it down somewhere lol

I hope this helps

plz mark B R A I N L I E S T
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