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Marat540 [252]
3 years ago
14

Simplify

Mathematics
1 answer:
guapka [62]3 years ago
3 0
The first is a. you can rewrite it
\sqrt{x^5} = \sqrt{x^2x^2x} = \sqrt{x^2}\sqrt{x^2}\sqrt{x} = xx\sqrt{x} = x^2\sqrt{x}

the second is d. the only common factor between 20 and 40 that can be taken out is the 4 which becomes a 2, but inside the square roots there is still a 5 and 10, which cannot be combined

the third is c.
\sqrt{36x} + \sqrt{100x} - \sqrt{25x} \\ 6\sqrt{x}+10\sqrt{x}-5\sqrt{x} \\ 11\sqrt{x}

the fourth is d.
add 3 to both sides \sqrt{2x} = 10
then square both sides 2x=100
then divide both sides by 2, x=50
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Oksanka [162]
The answer is 7.3 or in other words 7 3/10

Hope I helped
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Calculate the areas of the shape.​
JulijaS [17]

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5 0
3 years ago
the equation y = 1/5x represents a proportional relationship. explain how you can tell the relationship is proportional from the
Pachacha [2.7K]

Answer:

Yes, y = \frac{1}{5} x represents a proportional relationship and the constant of proportionality is \frac{1}{5}

Step-by-step explanation:

<em>The Proportional is a relationship between two quantity one of them equals the product of the other and a constant, where this constant called the constant of proportionality </em>

  • If x and y are proportion, then y = k x, where k is the constant of proportionality
  • The proportional relationship represented graphically by a line passing through the origin point (0, 0)

Let us solve the question

∵ y = \frac{1}{5} x

→ It the same as the form of the proportional equation above

∵  \frac{1}{5}  is a constant

∴ y is the product of x and constant

∴ y =  \frac{1}{5} x represents a proportional relationship

Substitute x by 0 to find y and show it represented by a line passing through the origin

∵ x = 0

∴ y = \frac{1}{5} (0) = 0

→ That means point (0, 0) lies on the line which represents the equation

∴ The line which represents this relation is passing through the origin

∴ y = \frac{1}{5} x represents a proportional relationship

∵ y = kx, k is the constant of proportionality

∵ y = \frac{1}{5} x

∴ k =  \frac{1}{5}

∴ The constant of proportionality is \frac{1}{5}

5 0
4 years ago
The ratio of 5 rupee notes to 10 rupee notes in a purse is 3 : 4. There are 77 notes in the purse. How much money is there in th
Norma-Jean [14]

Answer:

605 rupees

Step-by-step explanation:

add the parts of the ratio 3 + 4 = 7

divide the number of notes by 7 to find one part of the ratio

\frac{77}{7} = 11 ← 1 part of the ratio

3 parts = 3 × 11 = 33 ← number of 5 rupee notes

4 parts = 4 × 11 = 44 ← number of 10 rupee notes

Amount of money = (33 × 5 ) + (44 × 10) = 165 + 440 = 605 rupees



4 0
3 years ago
Identify the vertex of the function, F(x) =3(x-1)2 + 5.
agasfer [191]

Answer:

f

(

x

)

=

3

(

x

−

1

)

2

+

5

Use the vertex form,

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of

a

,

h

, and

k

.

a

=

3

h

=

1

k

=

5

Find the vertex

(

h

,

k

)

.

(

1

,

5

)

image of graph

8 0
2 years ago
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