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2 years ago

Solve for x in the equation x2+2x+1= 17. x=-1: V15 x=-11/17 X=-2=2.5 X=-11 13

Mathematics

1 answer:

Shalnov [3]2 years ago

4 0

Answer:

x=-1

Step-by-step explanation:

x^2+2x=16=0

Use the quadratic formula to find the solutions.

−b±√b2−4(ac)/

Substitute the values

a=1, b=2, and c=−16 into the quadratic formula and solve for x

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A conservative estimate of the number of stars in the universe is 6 x 10^22. The average human can see about 3,000 stars at nigh

Ilia_Sergeevich [38]

$2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

<h3>Solution:</h3>

Given that, conservative estimate of the number of stars in the universe is $6 \times 10^{22}$

The average human can see about 3,000 stars at night with only their eyes

To find: Number of times more stars are there in the universe, compared to the stars a human can see

Let "x" be the number of times more stars are there in the universe, compared to the stars a human can see

Then from given statement,

$\text{Stars in universe} = x \times \text{ number of stars human can see}$

Substituting given values we get,

$6 \times 10^{22} = x \times 3000\\\\x = \frac{6 \times 10^{22}}{3000}\\\\x = \frac{6 \times 10^{22}}{3 \times 10^3}\\\\x = 2 \times 10^{22-3}\\\\x = 2 \times 10^{19}$

Thus $2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

5 0

3 years ago

3a+3b,for a=2 and b=4

il63 [147K]

3a + 3b, for a=2 and b=4 ... The first thing you'd do would be to plug the numbers in -

3 x 2 + 3 x 4

Then multiply them -

6 + 12

Then add -

18.

So your answer should be 18.

5 0

2 years ago

Solve the system by substitution Y= -7x + 6 Y = - 10x Plz help

snow_tiger [21]

Answer:

(-2, 20)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -7x + 6

y = -10x

Step 2: Solve for x

Substitution

Substitute in y [1st Equation]: -10x = -7x + 6
[Addition Property of Equality] Add 7x on both sides: -3x = 6
[Division Property of Equality] Divide -3 on both sides: x = -2

Step 3: Solve for y

Substitute in x [2nd Equation]: y = -10(-2)
Multiply: y = 20

7 0

2 years ago

Read 2 more answers

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mel-nik [20]

1, 3, 3, 4, 5, 6, each x is one of each number below

3 0

2 years ago

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 2x = 17

yawa3891 [41]

--------------------------------------------------------
Equation Given
--------------------------------------------------------
x² + 2x = 17

--------------------------------------------------------
Add the constant to make it perfect square
--------------------------------------------------------
x² + 2x + (2/2)² - ²(2/2)² = 17

--------------------------------------------------------
Evaluate the brackets
--------------------------------------------------------
x² + 2x + (1)² - ²(1)² = 17

--------------------------------------------------------
Form the perfect square
--------------------------------------------------------
(x + 1)² - 1 = 17

--------------------------------------------------------
Add 1 to both sides
--------------------------------------------------------
(x + 1)² = 17 + 1
(x + 1)² = 18

--------------------------------------------------------
Square root both sides
--------------------------------------------------------
√(x + 1)² = $\pm$ √18

--------------------------------------------------------
Solve for x
--------------------------------------------------------
x = 4.24 - 1 or - 4.24 -1

x = 3.24 or - 5.24 (nearest hundredth)

--------------------------------------------------------
Answer: x = x = 3.24 or - 5.24
--------------------------------------------------------

7 0

2 years ago