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3 years ago

Find the solution(s) to (x + 2)2 = 49. Check all that apply.

Mathematics

2 answers:

Tanzania [10]3 years ago

8 0

Answer:

A and B

5 and -9

Step-by-step explanation:

Remember this formula : $\sqrt{x^2} = |x|$

Solve:

$(x+2)^2 = 49\\$
$\sqrt{(x +2)^2} = \sqrt{49}$
$|x + 2| = 7$

Case 1:

$|x + 2| = 7$
$x + 2 = 7$
$x = 5$

Case 2:

$|x+2| = -7\\$
$x + 2 = -7$
$x = -9$

The answers are $\boxed{\text{A}}$ and $\boxed{\text{B}}$

-Chetan K

Vika [28.1K]3 years ago

7 0

Answer:

x=5, x=-9

Step-by-step explanation:

I am assuming the "x+1" is squared since there is more than one answer.

x+2=7

x+2=-7

x=5, x=-9

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Describe the behavior of the function ppp around its vertical asymptote at x=-2x=−2x, equals, minus, 2.

insens350 [35]

Answer:

$x->-2^{-}, p(x)->-\infty$ and as $x->-2^{+}, p(x)->-\infty$

Step-by-step explanation:

Given

$p(x) = \frac{x^2-2x-3}{x+2}$ -- Missing from the question

Required

The behavior of the function around its vertical asymptote at $x = -2$

$p(x) = \frac{x^2-2x-3}{x+2}$

Expand the numerator

$p(x) = \frac{x^2 + x -3x - 3}{x+2}$

Factorize

$p(x) = \frac{x(x + 1) -3(x + 1)}{x+2}$

Factor out x + 1

$p(x) = \frac{(x -3)(x + 1)}{x+2}$

We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)

We are only interested in the sign of the result

----------------------------------------------------------------------------------------------------------

As x approaches -2 implies that:

$x -> -2^{-}$ Say x = -3

$p(x) = \frac{(x -3)(x + 1)}{x+2}$

$p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12$

We have a negative value (-12); This will be called negative infinity

This implies that as x approaches -2, p(x) approaches negative infinity

$x->-2^{-}, p(x)->-\infty$

Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)

As x leaves -2 implies that: $x>-2$

Say x = -2.1

$p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1$

We have a negative value (-56.1); This will be called negative infinity

This implies that as x leaves -2, p(x) approaches negative infinity

$x->-2^{+}, p(x)->-\infty$

So, the behavior is:

$x->-2^{-}, p(x)->-\infty$ and as $x->-2^{+}, p(x)->-\infty$

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3 years ago

The order of magnitude for total attended for a high school football team that averages 1,000 fans for each of its 5 home games

Tatiana [17]

The order of magnitude for total attended for a high school football team is 3

<h3>How to determine the order of magnitude?</h3>

The given parameters are:

Average number of fan = 1000

Number of home games = 5

The total number of fans in the 5 games is:

Total number of fans = Average number of fan * Number of home games

Substitute known values in the above equation

Total number of fans = 1000 * 5

Express 1000 as 10^3

Total number of fans = 10^3 * 5

Rewrite the equation as:

Total number of fans = 5 * 10^3

The power of 10 represents the order of magnitude

Since the power of 10 is 3, the order of magnitude is 3

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Answer:

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Step-by-step explanation:

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Brilliant_brown [7]

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To undo these then, we'll need to:

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