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
icang [17]
3 years ago
5

7. y-2 = (x+3) 4 2 X - TO 12 4

Mathematics
1 answer:
drek231 [11]3 years ago
8 0

Answer:

y = -24 + -2x + 2x2

Step-by-step explanation:

Simplifying:

y = 2(x + 3)(x + -4)

reorder the terms:

y = 2(3 + x)(x + -4)

multiply (3 + x) * (-4 + x)

y = 2(3(-4 + x) + x(-4 + x))

y = 2((-4 * 3 + x * 3) + x(-4 + x))

y = 2((-12 + 3x) + x(-4 + x))

y = 2(-12 + 3x + (-4 * x + x * x))

y = 2(-12 + 3x + (-4x + x2))

Combine like terms  3x + -4x = -1x

y = 2(-12 + -1x + x2)

y = (-12 * 2 + -1x * 2 + x2 * 2)

y = (-24 + -2x + 2x2)

Solving:

y = -24 + -2x + 2x2

solving for variable 'y'

Move all terms containing y to the left, all other terms to the right.

Simplifying:

y = -24 + -2x + 2x2

You might be interested in
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
Anastasy [175]

Answer: 19.4

Step-by-step explanation:

Given

Profit is given in terms of the selling price

y=-5x^2+194x-900

to get the maximum price, differentiate y w.r.t x

\frac{\mathrm{d} y}{\mathrm{d} x}=-5\times 2x+194

Put  \frac{\mathrm{d} y}{\mathrm{d} x}=0 to get maximum value

10x=194\\x=19.4

Thus, the company must sell it at 19.4

8 0
3 years ago
Definition: The _________ of a matrix is usually written as "m x n", where m is the number of rows and n is the number of column
n200080 [17]

Answer:

m

Step-by-step explanation:

6 0
3 years ago
Simplify the expression. (3.5x - 5) + (7.2x + 10)
Mamont248 [21]

Answer:

10.7x + 5

Step-by-step explanation:

(3.5x - 5) + (7.2x + 10)

Take out the parenthesis so it can be easier to see

3.5x - 5 + 7.2x + 10

Combine like terms

(3.5x and 7.2x) and ( -5 and 10)

10.7x + 5

And you cannot simplify it anymore

Hope this helped!

Have a supercalifragilisticexpialidocious day!

8 0
3 years ago
A rectangular sheet of paper has a perimeter of 60cm. When it is folded in half along its longer line of symmetry, the perimeter
Liula [17]

Answer:

Dimensions of the original rectangle:

Length = 19 cm

Width = 11 cm

Step-by-step explanation:

Let

Length = x

Width = y

Original rectangle:

2(Length + width) = 60

2x + 2y = 60

New rectangle has same length with original rectangle but half of the width of the original rectangle when folded

Length = x

Width = 1/2y

2(Length + 1/2width) = 49

2x + y = 49

2x + 2y = 60 (1)

2x + y = 49 (2)

Subtract (2) from (1) to eliminate x

2y - y = 60 - 49

y = 11

Substitute y = 11 into (2)

2x + y = 49

2x + 11 = 49

2x = 49 - 11

2x = 38

x = 38/2

x = 19

Dimensions of the original rectangle:

Length = 19 cm

Width = 11 cm

3 0
3 years ago
The expression 2x+50 represents the elevation above sea level, in meters, of a rock climber after x minutes of climbing. What is
ladessa [460]
Elevation above sea level = 2x+50
rock climbers minute of climbing = x

2x + x + 50
3x + 50
5 0
3 years ago
Other questions:
  • How many times does 3 go into 1/3
    6·2 answers
  • Please help me I don't understand what his claim is
    12·1 answer
  • Price of artwork is in a large box. Below the box are smaller boxes that contain money to artist and subtracted commission.
    13·1 answer
  • HELP HELP HELP HELP HELP PELADE PLEASE PLEASE IM DESPERATE SNSMXMDMAK
    5·1 answer
  • A quadratic equation of the form 0=ax^2+bx+c has a discriminant value of -16. How many real number solutions does the equation h
    15·1 answer
  • If it takes 3 teaspoons of salt to make 15 muffins, then how much salt is needed to make 50 muffins?
    14·1 answer
  • How do you find volume of a cube
    5·2 answers
  • The diagram shows the length and width of a laptop, and the length of a larger version of the same brand of a smaller laptop.
    5·1 answer
  • Cheryl had 22 charms. She used C charms to make a bracelet then she went to the store and bought 14 more charms. Now she has 25
    9·2 answers
  • Upper bound&amp;Lower bound <br>please help​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!