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emmasim [6.3K]
3 years ago
13

If the area of a rectangle with length (4x) is 4x^2+12x. Find the width.

Mathematics
2 answers:
almond37 [142]3 years ago
7 0
Area=lenght times widht
area/length=width
(4x²+12x)/(4x)=width
we can factor out the 4x
4x²+12x=4x(x+3)


so the width is x+3
Tresset [83]3 years ago
4 0
The width is x + 3

hope this helps (;
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Coach glasses cost $60 to manufacture at the factory. The retail price has a markup of 25%. What is the selling price of the gla
Free_Kalibri [48]

Answer:

Step-by-step explanation: 60 ÷ 0.25 = 240

240 is your selling price

3 0
2 years ago
Solve 1/2n x (n+1) =78
Leya [2.2K]

Answer:

n=-13, n=12

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Given: 1; -5; -13 ; -23 ; ...<br><br> Derive a formula for the nth term in the pattern.
mylen [45]

Answer:

  f(n) = -n^2 -3n +5

Step-by-step explanation:

Suppose the formula is ...

  f(n) = an^2 +bn +c

Then we have ...

  f(1) = 1 = a(1^2) +b(1) +c

  f(2) = -5 = a(2^2) +b(2) +c

  f(3) = -13 = a(3^2) +b(3) +c

__

Here's a way to solve these equations.

Subtract the first equation from the second:

  -6 = 3a +b . . . . . 4th equation

Subtract the second equation from the third:

  -8 = 5a +b . . . . . 5th equation

Subtract the fourth equation from the fifth:

  -2 = 2a

  a = -1

Then substituting into the 4th equation to find b, we have ...

  -6 = 3(-1) +b

  -3 = b

and ...

  1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation

  5 = c

The formula is ...

  f(n) = -n^2 -3n +5

3 0
3 years ago
Can someone please answer this, ill give you brainliest Would be very appreciated.
Svetllana [295]

Explanation:

f(x) = (x-4)(x+2)

1) For x-intercept, y will be 0

  • (x-4)(x+2) = 0
  • (x-4) =0, (x+2) = 0
  • x = 4, x = -2

<u />

<u>x-intercept</u>: (4, 0), (-2, 0)

2) For vertex: x = -b/2a where ax² + bx + c

<u>Quadratic function</u>:

  • (x-4)(x+2)
  • x² +2x-4x -8
  • x² -2x -8

<u>vertex</u>:

  • x = -(-2)/2(1)
  • x = 1

y: (x-4)(x+2) = (1-4)(1+2) = -9

ordered pair of vertex: (1, -9)

3) For y-intercept, x will be 0

  • (x-4)(x+2)
  • (0-4)(0+2)
  • -8

<u>y-intercept</u>: (0, -8)

8 0
2 years ago
Read 2 more answers
Quadratic equation <br> 4x2 + 6x = 0
In-s [12.5K]

Answer:

x = -4 / 3

Step-by-step explanation:

step 1. simplify 4x2 to 8

8+6x=0

step 2. subtract 8 from both sides.

6x = -8

step 3. divide in both sides by 6.

x = - 8 / 6

step 4. simplify 8/6 to 4/3.

x = -4 / 3

4 0
2 years ago
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