Find the equation of the exponential function represented by the table below:

Mathematics

2 answers:

natita [175]2 years ago

7 0

Answer:

all them are multiplied by 0.50. 0.50x0.50= 0.25 and then 0.25x0.50= 0.125. y= X• 0.50

podryga [215]2 years ago

6 0

Y= -0.5x+1 because we first have to find the slope then plug in a coordinate to fill in our y and x value which leaves us with the answer

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Find the area of the figure below by first finding the areas of the rectangle and triangle

Dmitrij [34]

Answer:

The total area is 45

Step-by-step explanation:

It's basically the same steps at the last problem

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3 years ago

6a + 2b, 9a + 4b, 12 + 6b<br><br> Find the 40th term<br><br> Show all work :)

Naily [24]

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12. 39a + 24b
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15. 48a + 30b
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21. 66a + 42b
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Basically, add 3 to every number in front of the a and 2 to every number in front of the b. Or just multiply.

8 0

3 years ago

The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions

Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

$\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}$

The quadratic equation can now be solve using factorization method:

$\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}$

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be: