1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kirza4 [7]
3 years ago
11

(i) 3 (a + 5b) + a (a + 4) (ii) y (10 - y) + 3 (y - 2) (iii) 2 (8a - 5b) + 3 (5a - 12) (iv) 3 (y - 3) + ( 8 - 6y + x) (v) a (a -

2b) + b (b + 2a - c) (vi) 5 (x - y + z) + (4x + 3y) plzz solve
Mathematics
1 answer:
AveGali [126]3 years ago
6 0

Answer:

3 (a + 5b) + a (a + 4)  = a^2 + 7a + 15b

y (10 - y) + 3 (y - 2)  = - y^2+13y - 6

2 (8a - 5b) + 3 (5a - 12)  = 31a -10b  - 36

3 (y - 3) + ( 8 - 6y + x) = -3y + x-1

a (a - 2b) + b (b + 2a - c) =a^2  + b^2  - bc

5 (x - y + z) + (4x + 3y) =9x - 2y +5z

Step-by-step explanation:

Solving (i):

3 (a + 5b) + a (a + 4)

Open brackets

3 (a + 5b) + a (a + 4)  = 3a + 15b + a^2 + 4a

Collect like terms

3 (a + 5b) + a (a + 4)  = a^2 + 4a+3a + 15b

3 (a + 5b) + a (a + 4)  = a^2 + 7a + 15b

Solving (ii)

y (10 - y) + 3 (y - 2)

Open bracket

y (10 - y) + 3 (y - 2)  = 10y - y^2 + 3y - 6

Collect like terms

y (10 - y) + 3 (y - 2)  = - y^2+10y  + 3y - 6

y (10 - y) + 3 (y - 2)  = - y^2+13y - 6

Solving (iii)

2 (8a - 5b) + 3 (5a - 12)

Open bracket

2 (8a - 5b) + 3 (5a - 12)  = 16a -10b + 15a - 36

Collect like terms

2 (8a - 5b) + 3 (5a - 12)  = 16a+ 15a -10b  - 36

2 (8a - 5b) + 3 (5a - 12)  = 31a -10b  - 36

Solving (iv)

3 (y - 3) + ( 8 - 6y + x)

Open bracket

3 (y - 3) + ( 8 - 6y + x) = 3y - 9 + 8 - 6y + x

Collect like terms

3 (y - 3) + ( 8 - 6y + x) = 3y  - 6y + x- 9 + 8

3 (y - 3) + ( 8 - 6y + x) = -3y + x-1

Solving (v):

a (a - 2b) + b (b + 2a - c)

Open bracket

a (a - 2b) + b (b + 2a - c) =a^2 - 2ab + b^2 + 2ab - bc

Collect like terms

a (a - 2b) + b (b + 2a - c) =a^2 + 2ab- 2ab + b^2  - bc

a (a - 2b) + b (b + 2a - c) =a^2  + b^2  - bc

Solving (vi)

5 (x - y + z) + (4x + 3y)

Open brackets

5 (x - y + z) + (4x + 3y) =5x - 5y +5z+4x +3y

Collect like terms

5 (x - y + z) + (4x + 3y) =5x +4x +3y- 5y +5z

5 (x - y + z) + (4x + 3y) =9x - 2y +5z  

You might be interested in
What is the slope of the line that passes through the points (7,-9) and (15, -29)?
Mashutka [201]

Answer:

-2.5

I got -2.5 as slope because slope is equal to rise over run so that means

the equation would turn out as -29+9/15-7=-20/8

-20/8=-2 4/8,-2 1/2,1/2=0.5,so the answer turns into -2.5

8 0
3 years ago
Read 2 more answers
Which system of equation is represented​
olga nikolaevna [1]

Answer:

D

Step-by-step explanation:

First, let us figure out what is graphed and then manipulate each answer to try to match it.

The one with a positive slope is

y\leq x-2

The one with the negative slope is

y\geq 3-2x

Now that we have our graphed system of inequalities, we can try to match them to an answer.

A. while the x-2 is the same, the other does not have an x, so it cannot match.

B. The second inequality has the wrong sign, so it is impossible for this to be our answer.

C. When each of these are solved for y, you get y\leq 2x-3\\\\y\leq 2-x. Neither of these match so this cannot be correct.

D. When the first inequality is solved you get y\geq 3-2x

When the second inequality is solved you get y\leq x-2

As both of these answers match our graphed inequalities, D is the correct answer.

4 0
3 years ago
Sophia is 12 years old. Her Uncle Reynald tells her that if she adds 5 to her age, multiplies the sum by 3, and then subtracts 4
sasho [114]

Answer:

Her uncle's age = 47 years

Step-by-step explanation:

Sophia = 12 years old

Her Uncle Reynald tells her that if she adds 5 to her age,

= 12 + 5

multiplies the sum by 3

= (12 + 5) × 3

and then subtracts 4 from the product

= {(12 + 5) × 3} - 4

she will find his age

{(12 + 5) × 3} - 4

= (17 × 3) - 4

= 51 - 4

= 47

Her uncle's age = 47 years

Sophia wrote:

12 + 5 × 3 − 4

Using PEMDAS

P - product

E - exponent

M - multiplication

D - division

A - addition

S - subtraction

Sophia's expression can be written as = 12+(5*3)-4

= (12 + 15) - 4

= 27 - 4

= 23

Sophia's expression is wrong

8 0
3 years ago
What is the amount paid for an $150 pair of shoes after a discount of 30% is applied?
Sloan [31]

Answer:

105

Step-by-step explanation:

150-30%= 105

Have a wonderful day!

3 0
2 years ago
Read 2 more answers
Write a multiple of 4 that is greater than 30 but less than 100
seraphim [82]
10x4=40. i dunno thats what i got from google lolll..

4 0
2 years ago
Read 2 more answers
Other questions:
  • The area of a rectangle is 18r^2 - 27r - 35 square inches. The width is 3r - 7 inches. What is the length in inches?
    11·1 answer
  • A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0). What is the equation of the directrix?
    5·2 answers
  • Simplify <br><br> (8x^4)(4x^3)/7x^2
    10·1 answer
  • Please asap help im desperate.......................
    5·1 answer
  • Need help asap, marking first as brainliest, would really appreciate it.
    12·1 answer
  • Look at the figure. Complete the statement and justify your answer.UT is congruent to _____ is congruent to YX.
    13·2 answers
  • How to find the area of a regular polygon with only the apothem ?
    7·2 answers
  • What is the are of this circle 8cm​
    15·2 answers
  • 18) slope and y-intercept, I need help ASAP
    12·2 answers
  • A and B are two cities.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!