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Anna35 [415]
3 years ago
10

G[ x]=x^2-8x-20 is it 2 solutions 1 solution or 2 imaginary solutions

Mathematics
1 answer:
AlladinOne [14]3 years ago
8 0

2 solutions

Step-by-step explanation: Discriminant D = √(-8²-4·1·(-20) =√(144)

Because D> 0, there are 2 roots

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The square of the sum of two consecutive positive even integers is 4048 more than the sum of the squares of these two numbers. F
Rasek [7]

Answer:

44, 46

Step-by-step explanation:

The integers are both even, so if the smaller one is x, then the larger one is x+2.

Therefore:

((x) + (x+2))² = 4048 + (x)² + (x+2)²

(2x + 2)² = 4048 + x² + x² + 4x + 4

4x² + 8x + 4 = 2x² + 4x + 4052

2x² + 4x - 4048 = 0

x² + 2x - 2024 = 0

(x + 46) (x - 44) = 0

x = -4+, 44

Since x must be positive, x = 44.  And x+2 = 46.  So the numbers are 44 and 46.

Let's check:

(44 + 46)² = 8100

4048 + 44² + 46² = 8100

3 0
3 years ago
A truck driver traveled forty-two thousand, three hundred fifty-two miles last year. Write this number in standard form
pentagon [3]
The number is 42,352 in standard form.
7 0
3 years ago
Read 2 more answers
Factor by gcf 6x2+3x+21 The 2 is supposed to be small.
nexus9112 [7]

Given:

The expression is:

6x^2+3x+21

To find:

The factor of the given expression by GCF.

Solution:

It is given that,

6x^2+3x+21

The terms of the given expression are 6x^2,3x,21. The greatest common factor of these terms is 3.

6x^2+3x+21=3\times 2x^2+3\times x+3\times 7

So, taking out the GCF, the given expression can be rewritten as:

6x^2+3x+21=3(2x^2+x+7)

Therefore, the factor form of the given expression by GCF is 3(2x^2+x+7).

7 0
3 years ago
What is the area of the triangle?
Agata [3.3K]

6 \times 8 \div 2 = 24
3 0
3 years ago
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In files, long wings (W) are dominant to short wings (w). please help and show work
Monica [59]

Answer:

<u>chart:</u>

      W        w

W  WW     Ww

w  Ww       ww

W = long wings (dominant)

w = short wings (recessive)

this means:

WW = long wings 25%

Ww = long wings (remember there are 2 of these) 50%

ww = short wings 25%

<em>longs wings: 25 + 50 = 75%</em>

<em>short wings = 25%</em>

<em />

<u>Phenotype probability:</u>

Long Wings: 75%

Short Wings: 25%

5 0
3 years ago
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