1. The exponential functions with the form $f(x)=ab^{x}$ has domain of all real numbers, becaure there is no values in the set of real number for which the value of $x$ is not define. When $x$ approches to ∞, the function approches to ∞.

2. When $x$ approches to -∞, the function approches to 0 but never touches it. This means that $y$ is always greater than zero ( $y>0$ ). Therefore, the range of the function is (0,∞).

3 0

3 years ago

A city has a vacant lot in the shape of an isosceles trapezoid and the city workers are installing a fence around the lot. What

ValentinkaMS [17]

Answer:

Length of the fence required = 135 m

Step-by-step explanation:

Total length of the fence required to cover the vacant lot = Perimeter of the isosceles trapezoid

Perimeter of ABCD = AB + BC + CD + AD

Since, AB = BC = EF = ED = 25 m

From the given right triangle BEC,

m∠EBC = m∠ECB = 45°

ΔBEC will be an isosceles triangle.

So, BE = EC

By Pythagoras theorem,

BC² = BE² + EC²

25² = 2(EC)²

EC = $\frac{25}{\sqrt{2}} =17.7$ m

And DC = (DF + EF + EC)

= EC + EF + EC [Since, DF = EC]

= 2EC + EF

= 35.4 + 25

= 60.4 m

Hence. perimeter of ABCD = 25 + 25 + 60.4 + 25

= 135.4 m

≈ 135 m

Therefore, length of the fence required = 132 m

3 0

3 years ago

Please help me right away.

statuscvo [17]

So, with rational equations, we have three different cases. If the numerator has degree m and the denominator degree n, if m>n, the rational equation has an oblique(slant) asymptote. If m=n, the asymptote is the quotient of the leading coefficient of the numerator divided by the leading coefficient of the denominator. If m<n, the rational equation has an asymptote at 0. Since m>n in this problem, we must perform polynomial division.

$\frac{x^3+2x-8}{x^2+x}= 3x-\frac{x+8}{x^2+x}$

Since the remainder tends to 0 as it approaches infinity, we have a slant asymptote at y=3x.

3 0

3 years ago

How can this quadrilateral be classified?

enyata [817]

quadrilateral

rhombus

parallelogram

8 0

4 years ago

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