Solve 9x2 + 12x + 4 = 0. By using the quadratic formula

Answers

Answer 1
Answer: so 9x^2+12x+4=0

so the quadratic formulat is (-b+/-(squrt(b^2-4ac)))/(2a)=x
subsitute
ax^2+bx+c=

9=a
12=b
4=c

(-12+/-(squrt(12^2-4(9)(4))))/(2(9))=x
(-12+/-(squrt(144^2-144)))/18)=x

(-12+/-0)/18)=x
-12/18=x
-2/3=x
Answer 2
Answer: Discriminant= b^(2)-4.a.c \n \n  We\:need\:to:-b+ √(discriminant) /2a \n   \n  9x^(2) +12x+4=0  \n => 12^(2) -4.9.4 \n 144-144=0 \n  √(0) =0 \n  \n -12+ 0/18= (-12)/(18) = (-2)/(3)   \n  \n That`s\: enough=>x= (-2)/(3)  \n  \n \framebox[1.1\width]{Good Luck!} \par

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A fence will be built to enclose a 100-m by 70-m field. It will need a post at each corner and one every 5 m. How many posts are needed?

Answers

The answer is 68.

Field had shape of rectangle since has difference in length and width. The perimeter of rectangle can be expressed as:
P = 2 × (a + b)

If:
a = 100 m
b = 70 m
Then
P = 2 × (100 m + 70 m)
P = 2 × 170 m
P = 340 m.

If posts are on every 5 m, the number of needed posts is:
340 m ÷ 5 m = 68.
Thus, 68 posts are needed for the fence.

If Dave runs 1.3 kilometers in 10 minutes what is his average rate?Adapting and Using Formulas

Answers

1.3km = 10 minutes

speed * time = distance

speed = distance divided by time

His speed = 1.3/10 = 0.13 km/h

The length of the sides of a square are s inches long. A rectangle is six inches shorter and eight inches wider than the square. Express both the length and the width of the rectangle as a function of a side of the square. a) Rectangle width is s + 8 and length is s - 6 b) Rectangle width is s - 8 and length is s + 6

Answers

Answer:

HI,

Answer A

Step-by-step explanation:

Final answer:

The rectangle has a length s - 6 and width s + 8 in terms of the side length s of the square.

Explanation:

The length of the sides of a square is s inches. The rectangle is six inches shorter and eight inches wider than the square. To express the length and width of the rectangle as a function of the side of the square:

Length of the rectangle = Length of the square - 6 = s - 6

Width of the rectangle = Width of the square + 8 = s + 8

Therefore, the correct expression for the length and width of the rectangle is: a) Rectangle width is s + 8 and length is s - 6

Learn more about Expressing rectangle dimensions as a function of square side length here:

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What is the simplified form of the quantity of x plus 6, all over 3 − the quantity of x plus 2, all over 3?

Answers

it is going to be an negative x

Plz help me out! What is the result when x^3 + 6x^2 + 10x + 25 is divided by x+ 5?

Answers

Answer:

x² + x + 5

Step-by-step explanation:

Using Synthetic division

 - 5 | 1    6    10     25

        ↓  - 5   - 5   - 25

       -----------------------

        1    1      5      0 ← remainder

Since the remainder is zero then (x + 5) is a factor of the polynomial

The Quotient = x² + x + 5

Thus

x³ + 6x² + 10x + 25 = (x + 5)(x² + x + 5)

The ford escape hybrid made its debut in 2004 as the first SUV hybrid. During 2007, 21,386 of these SUVs were sold, an increase I of approximately 11% over previous year. Approximately how many ford escape hybrids were sold in 2006?

Answers

x is cars sold in 2006
x*1.11=21386, solve for x