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dimulka [17.4K]
4 years ago
9

A rectangle is 19 feet long and 42 feet wide. What is the area of the rectangle, in square yards? Express your answer as a mixed

number in lowest terms.
Mathematics
1 answer:
Temka [501]4 years ago
4 0

Answer:

86\frac{2}{3} yards²

Step-by-step explanation:

19 feet = \frac{19}{3} yards

42 feet = 14 yards

14 × \frac{19}{3} = \frac{266}{3} = 86\frac{2}{3}

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3 years ago
Find the domain and range of the exponential function h(x) = –343x.
Amanda [17]

The function is supposed to be;

h(x) = -343^(x)

Answer:

The domain will be a set of real numbers while the range will be y ≤ 0 and on the interval (-∞, 1)

As x is increasing, h is decreasing and as x is decreasing, h is increasing

Step-by-step explanation:

We are given the function as;

h(x) = -343^(x)

The formula is;

y = a^(x) since it's symmetrical to the x-axis

However in this case;

y = -a^(x)

Now, the domain is y and the range is a set of values of x.

I've attached a graph of this function drawn on desmos.

From the graph we can see that The domain will be a set of real numbers while the range will be on the interval (-∞, 1)

For a value of x = 0,we have;

h(0) = -343^(0)

h(0) = -343

When we increase the value of x to 3,we have;

h(3) = -343^(3)

h(3) = -40353607

When we decrease the value of x to -3, we have;

h(-3) = -343^(-3)

h(-3) = 0.00000002478

Thus, we can conclude that;

As x is increasing, h is decreasing and as x is decreasing, h is increasing

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Answer: 2/6 or 33%

Step-by-step explanation: Hope this helps <3

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18. Solve the equation.<br> m- 10/3 - 5m-9/7 = 1
JulijaS [17]

The answer is m = -59/42

Step by step explanation is in the image below.

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3 years ago
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