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Sidana [21]
3 years ago
11

What are the solutions of the equation x2 + 5x + 6 = 0? A. −3, 2 B. 6, −1 C. 6, 1 D. −3, −2

Mathematics
1 answer:
natita [175]3 years ago
3 0

Answer:

D. -3,-2

Step-by-step explanation:

Let x^{2} +5x+6=0=(x+2)(x+3)\\, then  x+2=0 or x+3=0, thus x=-2 or x=-3

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The Atlanta Journal Constitution conducted a survey of 900 registered voters to determine which voting method they prefer. The A
photoshop1234 [79]

Answer:

a) (0.576, 0.624)

Step-by-step explanation:

Given that the sample proportion (p) = 60% = 0.6, sample size (n) = 900, confidence (C) = 85%

α = 1 - C = 1 - 0.85 = 0.15

α/2 = 0.075

The z score of α/2 (0.075) corresponds with the z score of 0.425 (0.5 - 0.075) which is equals to 1.44, hence z_\frac{\alpha }{2} =1.44

The margin of error (E) is:

E=z_\frac{\alpha }{2} *\sqrt{\frac{p(1-p)}{n} } =1.44*\sqrt{\frac{0.6(1-0.6)}{900} } = 0.024

The confidence interval = p ± E = 0.6 ± 0.024 = (0.576, 0.624)

7 0
3 years ago
Someone Please Help, What Is P^m Divided By P^n
jeyben [28]
The asnwer should be P^m-n
8 0
3 years ago
PLS HELP ASAP‼️‼️ i need pleaseeeeeee
-Dominant- [34]

Answer:

-2x^4 - 6x^3 - 8x^2

Step-by-step explanation:

4 0
3 years ago
Two square rooms have a total floor area of 89m2. One room is 3m longer each way than the other. Find the dimensions of the two
Rudiy27

Answer:

A

Step-by-step explanation:

Let the smaller room have an area of x^2

Let the larger room have an area of (x + 3)^2

(x+3) ^2 + x^2 = 89               Be careful not to make it 89^2.

x^2 + 6x + 9 + x^2 = 89        Expand the binomial squared

2x^2 + 6x + 9 - 89 = 0          Subtract 89 from both sides

2x^2 + 6x + 9 - 89 = 0          Combine

2x^2 + 6x - 90=0                  Divide by 2

x^2 + 3x - 45 = 0         This factors.

(x + 9)(x- 5) = 0

X + 9 gives nothing useful

x - 5 = 0

x = 5

x + 3 = 5+3 = 8

So the answer is A

3 0
3 years ago
Frank owns an entire city block, which happens to be a perfectly square piece of land. One corner of the block is in the interse
Helen [10]
So originally, let's say the width of Frank's land was x feet.

The area of his land was therefore x \times x, or x^2, as his land was square.

The width of his land then increased by 3 feet, and the height decreased by 3 feet.

So the new area of Frank's land is:

(x+3)(x-3)\\=x^2+3x-3x-9\\=x^2-9

So the new land is now 9 square feet smaller, so it is not a fair deal for Frank.

Hope this helps :)
5 0
3 years ago
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