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sweet-ann [11.9K]
3 years ago
15

If f(x)=2x-3/5 , which of the following is the inverse of f(x)?

Mathematics
1 answer:
grigory [225]3 years ago
5 0

Answer:

(5x+3)/2

Step-by-step explanation:

f(x)=(2x-3)/5

f(x)=y

y=(2x-3)/5

interchanging role of x and y

x=(2y-3)/5

5x=2y-3

5x+3=2y

y=(5x+3)/2

the inverse if f(x) = (5x+3)/2

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Alexis bought a pyramid-like paperweight for her teacher. The paperweight has a volume of 200 cm3 and a density of 1.5 grams per
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Answer:

The density is equal to the weight divided by the volume:

\rho=\dfrac{W}{V}

The paperweight weights 300 grams.

Step-by-step explanation:

The density of the paperweight can be calculated knowing the weight and the volume of this paperweight.

The density is equal to the weight divided by the volume:

\rho=\dfrac{W}{V}

We know that the density of this paperweight is 1.5 grams per cm3, and its volume is 200 cm3.

We can use the formula of the density to calculate the weight:

\rho=\dfrac{W}{V}\\\\\\W=\rho\cdot V=1.5\;\dfrac{g}{cm^3}\,\cdot\;200\; cm^3\\\\\\W=300\;g

The paperweight weights 300 grams.

7 0
3 years ago
PLZZZZ ANSWER QUICK!!!! A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line. What is the
Svetradugi [14.3K]
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3 years ago
A(n) ___ expression is an expression that contains a radical symbol.
Alla [95]

Answer:

radical

Step-by-step explanation:

5 0
3 years ago
The measures of three angles of a triangle are given by (8x - 5), (2x)º, and (3x – 10). What is the measure of the largest angle
zhannawk [14.2K]

Answer: 115°

Step-by-step explanation:

We should note that the sum of the angles that are in a triangle is equal to 180°, therefore we will add the angles given and equate them to 180°. This will be:

(8x - 5) + (2x) + (3x - 10) = 180

8x - 5 + 2x + 3x - 10 = 180

Collect like terms

8x + 2x + 3x = 180 + 5 + 10

13x = 195

x = 195/13

x = 15

The angles are:

8x - 5 = 8(15) - 5 = 120 - 5 = 115°

2x = 2(15) = 30°

3x - 10 = 3(15) - 10 = 45 - 10 = 35°

Therefore, the largest angle is 115°

3 0
3 years ago
Question 60/62 (3.p.)
Vsevolod [243]

Answer:

Capacity of tank = 44,000 l

Step-by-step explanation:

Given:

Height of tank = 3.5 m

Radius = 2 m

Find:

Capacity of tank

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Volume of cylinder = (22/7)(2)²(3.5)

Volume of cylinder = 44 m³

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So,

Capacity of tank = 44  x 1,000

Capacity of tank = 44,000 l

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3 years ago
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