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3 years ago

A box has four cards numbered 1, 2, 3, and 4

1 answer:

6 0

Sample space: H1, H2, H3, H4, T1, T2, T3, T4
All outcomes if the card is three: H3, T3
I was unclear about the last two parts of the question.

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Factor completely<br> m^2 — Зm — 18

lilavasa [31]

Answer:

(m + 3) (m - 6)

Step-by-step explanation:

Simplify the following:

m^2 - 3 m - 18

The factors of -18 that sum to -3 are 3 and -6. So, m^2 - 3 m - 18 = (m + 3) (m - 6):

Answer: |

| (m + 3) (m - 6)

4 0

3 years ago

A group of randomly selected Clyde Marketing employees were asked what their most common form of transportation is. The bar grap

poizon [28]

Answer:

The answer is 88, trust.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Write the quadratic equation in factored form. Be sure to write the entire equation. x^2 + x - 12 = 0

nignag [31]

X^2 + X - 12 = 0

(X + 4)(X - 3) = 0

X = -4 and X = 3.

3 0

3 years ago

A backyard pool has a concrete walkway around it that is 3 feet wide on all sides. The total area of the pool and the walkway is

Gnoma [55]

Answer:

<h2><em>29.4 length and 21.4 width.</em></h2>

Step-by-step explanation:

To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that <em>W </em>is the width and <em>L </em>the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total area can be expressed like this: $A_{total} = (L+6)(W+6)$ .

In addition, we know that the total area is 970 and the length is 8 ft longer than the width ( $L=W+8$ ). So:

$A_{total} = (L+6)(W+6)\\970 = (W+8+6)(W+6)\\970=W^{2}+20W+84\\W^{2}+20W-886=0$

With this quadratic equation we're gonna have to solution, the most reasonable is part of the answer. So, solving the equation we have as solutions: $W_{1}=21.4$ and $W_{2}=-41.4$

Therefore, the width is 21.4 ft, because the negative number cannot represent distances.

Using the relation between length and width:

$L=W+8\\L=21.4+8=29.4$

<em>Therefore, the dimensions of the pool are 29.4 length and 21.4 width.</em>

7 0

3 years ago

What is the extraneous solution?

8_murik_8 [283]

<h3>Answer:</h3>

x = 1

<h3>Step-by-step explanation:</h3>

<em>The only solution is an extraneous solution</em>, which is to say the equation has no solution.

The rational expression reduces to -1 (for x≠1), which makes the equation ...

1 = 1/x

The only solution to this is x=1, which is specifically disallowed.

___

If you subtract the right side, the equation becomes ...

((-x+1)(x) +2(x)(x -1) -(x -1))/(x -1) = 0

(-x^2 +x +2x^2 -2x -x +1)/(x -1) = 0 . . . . eliminate parentheses in the numerator

(x^2 -2x +1)/(x -1) = 0 . . . . . . . . . . . . . . . collect terms

(x -1)^2/(x -1) = 0 . . . . . . . . . . . . . . . . . . . factor

This is undefined for the only value of x that could possibly be a solution, x=1.

8 0

3 years ago