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Olenka
8 days 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:
Inessa [9K]8 days ago
6 0

Answer:

(Refer to the explanation)

Step-by-step explanation:

The function is:

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

Its simplified version is presented as follows:

f(x) = 9\cdot x

The resulting expression represents a linear function, classified as a first-order polynomial, and its domain and range encompass all real numbers.

PIT_PIT [9.1K]8 days ago
6 0

Answer: intersecting with its domain is: 1/3, 27, all real numbers, y>0

Step-by-step explanation:

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Joaquin is constructing the perpendicular bisector of AB. He opens his
Zina [9171]

Answer:

A

Step-by-step explanation:

To construct the perpendicular bisector, follow these steps:

Step 1:

Set the compass to a distance greater than half the length of segment AB, place it on point A, and draw an arc across AB.

Step 2:

Keeping the same width, place the compass on point B and create another arc across AB.

Step 3:

With the ruler, connect the two intersection points of the arcs by drawing a line.

Step 4:

This line will be the perpendicular bisector of the segment AB.

Thus, option A is the correct choice.

9 0
26 days ago
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Ella spent her whole allowance of $2.00, plus the 16¢ she had left over from last week, in bubble gum. If the pieces of gum had
Zina [9171]
Determining the answer here is quite straightforward. Ella has a total of $2.16, and we need to ascertain the cost per piece of gum.
It is known that if the gum cost one cent less, she would have acquired three more pieces.
 Currently, with 8 pieces priced at 27 cents each, a reduced price would allow her to have 8.64 pieces. This outcome, even after rounding, is incorrect as it does not yield 11.
 For 9 pieces at 24 cents each, a cheaper price would mean she could have 9.39 pieces, which still does not round to 12, indicating it's incorrect.
 At 16 pieces costing 13.5 cents each, at one cent less, she would acquire 17.28 pieces, which also confirms it's wrong because rounding does not yield 19.
 When purchasing 24 pieces at 9 cents each, with the cheaper price, she could buy 27 pieces, which is valid since 27-24 equals 3.
 Therefore, the correct answer is D) 24
3 0
1 day ago
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a garden is 18 feet 3 inches long and 10 feet 8 inches wide. the amount of fencing needed to enclose the garden is Need help and
tester [8842]

Answer:

\boxed{57ft 10in}

Step-by-step explanation:

Hello!

To find the total length when it is 18 feet 3 inches, we must add both lengths:

18ft 3in + 18ft 3in = 36ft 6in

For the width, add: 10ft 8in + 10ft 8in = 20ft 16in, which converts to 21ft 4in

Therefore, l + w = 57ft 10in

I hope this is helpful:)

5 0
16 days ago
60 more than nine times a number is the same as two less than 10 times the number what is the number
PIT_PIT [9117]

Let's tackle your equation step-by-step.

9x+60=10x−2

Step 1: Subtract 10x from each side.

9x+60−10x=10x−2−10x

−x+60=−2

Step 2: Subtract 60 from each side.

−x+60−60=−2−60

−x=−62

Step 3: Divide both sides by -1.

−x /−1 = −62 /−1

x=62

I hope this was helpful! Please consider giving me Brainliest!!

4 0
23 days ago
sari has 3 times as many pencil erasers Sam. Together, they have 28 erasers.  How many erasers does Sari have
PIT_PIT [9117]
Start by letting x represent the number of Sam's pencils. Then Sari has 3x (since she has three times as many)

Together they total 28 pencils:
x + 3x = 28
4x = 28  /:4 (divide both sides by 4)
x = 7
So Sam has 7 pencils.
Sari, having three times as many, has 7 * 3 = 21.[[TAG_8]]
4 0
9 days ago
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