Find the value of x.

Mathematics

2 answers:

Harrizon [31]1 year ago

8 0

Answer:

the answe would be x=117,2

Gekata [30.6K]1 year ago

7 0

Answer:

Step-by-step explanation:

i did and the teachet said it is coorrexf to give put

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What is a reasonable domain for this situation?

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Step-by-step explanation:

The y-axis shows the number of gallons of water left (with respect to time).

The x-axis shows the time.

Domain is the set of x-values that is allowed. Looking at the graph, we see that the water drains within 0 to 12 minutes. After 12 minutes there is no water left, so that's not feasible. Hence, the domain would be from 0 to 12.

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The total area of the large rectangle is 24m2. Determine the value of x

Natasha2012 [34]

Answer:

x = 2

Step-by-step explanation:

1. Calculate the sum of the areas of the smaller rectangles.

$\begin{array}{rcl}\text{A} & = & 2x \\\text{B} & = & x^{2} \\\text{C} & = & x^{2} \\\text{D} & = & 4 \\\text{E} & = & 2x \\\text{F} & = & 2x \\\text{Total} & = & 2x^{2} + 6x + 4 = 24\\\end{array}$

2. Factor the quadratic

$\begin{array}{rcl}2x^{2} + 6x + 4 & = & 24\\x^{2} + 3x + 2 & = & 12\\x^{2} + 3x - 10 & = & 0\\(x + 5)(x - 2) & = & 0\\\end{array}$

3. Solve the quadratic

(x + 5)(x - 2) = 0

Apply the zero-product rule

x + 5 = 0 x - 2 = 0

x = -5 x = 2

We reject the negative value because we can't have a negative length.

Therefore, x = 2.

4. Check the areas

$\begin{array}{rcr}\text{A} & = & 4 \\\text{B} & = & 4 \\\text{C} & = & 4 \\\text{D} & = & 4 \\\text{E} & = & 4 \\\text{F} & = & 4 \\\text{Total} & = &24\\\end{array}$