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Gnesinka [82]
2 years ago
8

Simplify the function f (x) = one-half (27) Superscript StartFraction 2x Over 3 EndFraction. Then determine the key aspects of t

he function.

Mathematics
2 answers:
AleksandrR [38]2 years ago
6 0

Answer:

(See explanation)

Step-by-step explanation:

The function is:

f(x) = \frac{1}{2}\cdot 27 \cdot \frac{2\cdot x}{3}

Its simplified form is presented hereafter:

f(x) = 9\cdot x

The resultant expression is a linear function, first-order polynomial, whose domain and range are the set of the real numbers.

Alex2 years ago
6 0

Answer: on edge its: 1/3, 27, all real numbers, y>0

Step-by-step explanation:

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Simplify aaa^3bxa^2b^3abx^4
dolphi86 [110]
Aaa^3bxa^2b^3abx^4
=aaa^3a^2abb^3bxx^4
=a^(1+1+3+2+1)b^(1+3+1)x^(1+4)
=a^8^b^5x^5
5 0
2 years ago
Rayna is building a tapered staircase using wooden boards. The bottom stair is 3 ft wide, and the top stair is 2 ft wide. Each s
Oksana_A [137]

Answer:

Total length of wooden boards = 10 feet

As 10 is a whole number, it can't be written as an improper fraction.

Step-by-step explanation:

First we need to convert the 4 in measurement to foot.

The conversion rate is: 12 inches = 1 foot.

So we have that 4 inches is equal to 1/3 feet.

If each stair is (1/3) feet shorter than the one below, we have that:

Bottom stair = 3 feet

Second stair = 2.666 feet

Third stair = 2.333 feet

Top stair = 2 feet

The staircase have 4 stairs:

3 feet, 2.666 feet, 2.333 feet and 2 feet

Now, to know the total length of wooden boards, we just need to sum the length of each stair:

Total = 3 + 2.666 + 2.333 + 2 = 10 feet

As 10 is a whole number, it can't be written as an improper fraction.

3 0
2 years ago
Lois says any addition equation where the addends are all the same can be written as a multiplication equation. Is Lois correct
USPshnik [31]
Lois is correct. This is because multiplication is repeated addition. It means that when your addends are just the same number but added several times, the sum is just equivalent to the product of that number times the number of times it was added. For example, 4+4+4 = 4×3 = 12.
6 0
2 years ago
A row of tiny red beads is placed at the beginning and at the end of a 20‐centimeter bookmark.
AlladinOne [14]

Answer:

51 rows

Step-by-step explanation:

Given

Length of bookmark = 20cm

Distance between beads = 4mm

Required

Number of rows of beads

First, the distance between the rows of beads must be converted to cm

if 1mm = 0.1cm

then

4mm = 4*0.1cm

4mm = 0.4 cm

This means that each row of beads is placed at 0.4 cm mark.

The distance between each row follows an arithmetic progression and it can be solved as follows;

T_n = a + (n-1)d

Where Tn = 20cm (The last term)

a = 0 cm (The first term)

d = 0.4cm (The distance between each row of beads)

n = ?? (number of rows)

Solving for n; we have the following;

T_n = a + (n-1)d becomes

20 = 0 + (n-1)0.4

20 =  (n-1)0.4

DIvide both sides by 0.4

\frac{20}{0.4} =  \frac{(n-1)0.4}{0.4}

50 =  (n-1)

50 =  n-1

Add 1 to both sides

50 + 1=  n-1 + 1

n = 51

Hence, the number of rows of beads is 51

4 0
2 years ago
What is the value of y in the following system y= 3x-5 6x+3y=15
Misha Larkins [42]
X=2. You use substitution to put the y=3x-5 into 6x+3y=15.
So you get 6x+3(3x-5)=15
=6x+9x-15=15
add 15 on both sides to get the x's alone and add the x's together.
6+9=15 -- 15+15=30
15x=30
30/15 =2
x=2
7 0
2 years ago
Read 2 more answers
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