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nasty-shy [4]
3 years ago
15

Translate the following verbal expression into an algebraic expression.

Mathematics
1 answer:
poizon [28]3 years ago
5 0

Answer:

3 * (x + 7)

Step-by-step explanation:

Mark number as x

Then the sum of a number and seven is x + 7

Three times x + 7 can be written as

3 * (x + 7)

Parentheses mean that we first add x and 7 and then multiply their sum by 3

Alternatively you can write it as 3x + 21, since

3 * (x + 7) = 3 * x + 3 * 7 = 3x + 21

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hello I need help with question 2 attached is the tables created in question one which I need to base question 2 off of. 2. Find
Vadim26 [7]

The given functions are:

\begin{gathered} f(x)=3x+2 \\ g(x)=\frac{x-2}{3} \end{gathered}

The domain is the set of all possible values that the independent variable (x) can take.

The range is the set of values that the function will take.

For these functions, the domain is all real numbers since they both will work with any positive or negative number (-∞,∞). Thus, the range is the same, all real numbers (-∞,∞).

But, for the purpose of the question let's analyze the interval you took for the table of values:

For f(x) function, you take x-values from -3 to 3, then the domain in this interval is [-3,3] and the range is the output values (f(x)), then the range is [-7,11].

For g(x) function, you take x-values from -7 to 11, then the domain in the interval is [-7,11] and the range (the g(x) values obtained) is [-3,3].

As can be noticed, in the interval the domain of the f(x) functions is the same as the range of the g(x) function, and the domain of the g(x) function is the same as the range of f(x) function. This happens because g(x) is the inverse function of f(x).

3 0
1 year ago
Which represents the inverse of the function f(x) = 4x?
Dmitry_Shevchenko [17]
F (x) = 4x    ⇒    y = 4x 
                               ↓
                           x = 4y     Divide by 4 on both sides
                               ↓
                          x / 4 = y   ⇒   Inverse function = x / 4
5 0
3 years ago
You drive 8 miles from your house to your friend's house. Your house is at an elevation of 240 feet. Your friend's house is at a
dedylja [7]
(680 - 240) / 8 = 440/8 = 55 ft per mile
7 0
3 years ago
What is the correct answer?
Tasya [4]

Given:

The function is

f(x)=(x+3)^2(x-5)^6

To find:

The zeros of the given function.

Solution:

The general form of polynomial is

P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}       ...(i)

where, a is a constant, c_1,c_2,...,c_n are zeros of respective multiplicities m_1,m_2,...,m_n.

We have,

f(x)=(x+3)^2(x-5)^6

On comparing this with (i), we get

c_1=-3,m_1=2

c_2=5,m_2=6

It means, -3 is a zero with multiplicity 2 and 5 is a zero with multiplicity 6.

Therefore, the correct option is B.

5 0
2 years ago
When x^2-2x + 14 is divided by x-1 the remainder is?<br> Is it 13?
julsineya [31]

Yes, 13 is the remainder.

See dat pic for full solution.

5 0
2 years ago
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