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2 years ago

:)

1 answer:

7 0

Domain is the numbers you can use
range is the result of inputing the domain

an interesting fact is that the inverse of a function switches the domain and range

basically
the domain of f(x) becomes the range of f^-1(x)
the range of f(x) becomes the domain of f^-1(x)
so just find the domain and range of f(x)

$f(x)=3x- \frac{1}{2}$
there are no restrictions
all real numbers can be used
all real numbers can result

so the answer is domain and range for both is all real numbers

D is answer

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tekilochka [14]

Answer:

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Step-by-step explanation:

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2 years ago

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Find the area of the trapezoid to the nearest tenth.

erica [24]

Answer:

2.2 metres squared

Step-by-step explanation:

We need to find the area of this trapezoid.

The area of a trapezoid is denoted by:

$A=\frac{(b_1+b_2)h}{2}$ , where $b_1$ and $b_2$ are the parallel bases and h is the height

Here, we already know the lengths of the two bases; they are 0.9 metres and 2.3 metres. However, we need to find the length of the height.

Notice that one of the angles is marked 45 degrees. Let's draw a perpendicular line from top endpoint of the segment labelled 0.9 to the side labelled 2.3. We now have a 45-45-90 triangle with hypotenuse 2.0 metres. As one of such a triangle's properties, we can divide 2.0 by √2 to get the length of both legs:

2.0 ÷ √2 = √2 ≈ 1.414 ≈ 1.4

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2 years ago

The quadratic equation 2x^2 + bx + 18 = 0 has a double root. Find all possible values of b.

Doss [256]

When a quadratic equation ax^2+bx+c has a double root, the discriminant,
D=b^2-4ac=0
Here
a=2,
b=b,
c=18
and
D=b^2-4ac=b^2-4*2*18=0
solve for b
b^2-144=0
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So in order that the given equation has double roots, the possible values of b are &pm; 12.

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3 years ago

Maria has thirty songs on her ipod, and each songs costs 1.25. If she downloads 25 and 1/2 of a songs, how much money does she h

enot [183]

Answer:

Step-by-step explanation:

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2 years ago

bridget recieved 1400 from her grandfather as a birthday gift she decided to put the money in an account to save for college the

Simora [160]

Answer:

The amount received after 5 years is 1827.39

Step-by-step explanation:

The amount received by Bridget from his grandfather as the birthday gift = 1400 .

Since he wants to deposit it and save for college, he earns interest rate = 5.4%

He deposited this money for the years = 5 years.

Here, the Present value (PV) is = 1400

Interest rate ( r ) = 5.4% or 0.054

Since the interest rate is compounded semi annually, So, n = 10

Now if we calculate the future value of 1400 with interest rate 5.4 percent:

$\text{The amount received after 5 years} = PV(1 + \frac{r}{2} )^{n} \\$

$= 1400(1 + \frac{0.054}{2})^{10} \\$

$= 1827.39$

Therefore, 1827.39 will be the total money in his account after five years.

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3 years ago