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Artist 52 [7]
3 years ago
11

4x^2+4x+1=9 solutions

Mathematics
1 answer:
givi [52]3 years ago
5 0

Answer:

x = - 2, x = 1

Step-by-step explanation:

Given

4x² + 4x + 1 = 9 ( subtract 9 from both sides )

4x² + 4x - 8 = 0 ← in standard form

Divide through by 4

x² + x - 2 = 0

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

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Sixty people are invited to a party. There are 24 cup in a package and 18 napkins in a package. What is the least number of pack
lbvjy [14]

Answer:

  • 3 packages of cups
  • 4 packages of napkins

Step-by-step explanation:

You need at least enough for 60, so any requirement for a partial package means you need to buy another whole package. The "ceiling" function gives the next higher integer for a non-integer value.

  cups = ceiling((60 cups)/(24 cups/package)) = ceiling(2.5) packages

  = 3 packages

__

  napkins = ceiling((60 napkins)/(18 napkins/package))

  = ceiling(3 1/3) packages = 4 packages

8 0
4 years ago
Find the area of the shape shown below.
miskamm [114]

Answer:

28 units^2

Step-by-step explanation:

1. First, let's divide this figure into two shapes: a square and a trapezoid. (Look at the image below explanation for division).

2. Next, we should know the area formulas of the square and trapezoid.

  • Square: s^2, where s = side
  • \frac{a+b}{2}h, where a and b = top and bottom and h = height

3. Solving Area of Square and Trapezoid

  • 4^2 = 4 * 4 = 16. Area of square is 16
  • \frac{4+2}{2}*4 = \frac{6}{2} * 4 = 3 * 4 = 12. Area of trapezoid is 12.
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Therefore, the area of the figure is 28 units^2.

5 0
2 years ago
-1/2x+3=-4x+7
borishaifa [10]
Like a first step bc. there is a denominator this will be more usefully eliminate it so what you can make it multiplied both sides by 2 
- so will get 

-2/2x +2*3/2 = 2(-4x+7)/2

(-2x +6)/2 = 2(-4x+7)/2   common denominator the 2 so make the numerators equal and solve for x 

-2x+6=-8x+14

6x=8

hope helped 


5 0
3 years ago
Five friends split a $65.20 bill at a restaurant . They also each left $2.75 for the tip. How much money did each person pay in
kvv77 [185]
You start by doing 65.20 (the bill) divided by 5 (the amount of people paying)
65.20 / 5 = 13.04 

Then you add 13.04 (how much each person paid towards the bill) and 2.75 (the amount of money each person left as a tip) 
13.04 + 2.75 = 15.79

Each person paid $15.79
4 0
3 years ago
Read 2 more answers
How do you use the vertical line test?
Triss [41]
First let you know what to do. OK. Going to drag a ruler. Across the paper. Vertically. And if it touches 2 points on the grid. Then it fails the test.
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4 years ago
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