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stellarik [79]
3 years ago
12

Rewrite the radical expression as an expression with a rational exponent. pls help

Mathematics
2 answers:
Masja [62]3 years ago
7 0

Answer:

\sqrt[7]{x^{3} }= x^{\frac{3}{7} }

Step-by-step explanation:

In order to solve this question we need to understand the following.

\sqrt{x} = x^{\frac{1}{2} }

\sqrt[3]{x}  = x^{\frac{1}{3} }

\sqrt[4]{x}= x^{\frac{1}{4} }

(Notice that the numerator of the fraction is the power of the x that is being squared)

If you need proof here it is.....

\sqrt{x} = x^{\frac{1}{2} }

(\sqrt{x} )^{2} = (x^{\frac{1}{2} } )^{2}

x = x

Now that we got that out of the way we can rewrite \sqrt[7]{x^{3} } as........

\sqrt[7]{x^{3} }= x^{\frac{3}{7} }

olga nikolaevna [1]3 years ago
3 0

Answer:

come on baexz f** me in 69

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X + 3/ 5 = 2<br> -5<br> -3<br> 7<br> 13
ahrayia [7]
X 3/5 =2x+15=2x=15-2x=13


answer 13
4 0
3 years ago
The least of 3 consecutive integers is a, and the greatest is z. What is the value of a + 2z/ 2 in terms of a?
jasenka [17]

Answer:

The value of a + 2z/ 2 in terms of a is (3a+4)/2

Step-by-step explanation:

least of 3 consecutive integers is a, and the greatest is z

if a is the least one

we know that integers differ by value of 1.

example -2, -1, 0, 1,2

they all differ by

then next consecutive integer will be a+1

third integer will be  second integer +1 = a+1 + 1 = a+2

Thus, 3 consecutive integer

a , a+1, a+2

but given that greatest is z

thus, a+2 is greatest and hence

a+2 = z

we have to find   value of a + 2z/ 2 in terms of a

a + 2z/ 2 = a + 2(a+2)/2 = (a+ 2a +4)/2 = (3a+4)/2.

The value of a + 2z/ 2 in terms of a is (3a+4)/2

4 0
3 years ago
If 1200 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the b
Colt1911 [192]

Answer:

The largest possible volume V is ;

V = l^2 × h

V = 20^2 × 10 = 4000cm^3

Step-by-step explanation:

Given

Volume of a box = length × breadth × height= l×b×h

In this case the box have a square base. i.e l=b

Volume V = l^2 × h

The surface area of a square box

S = 2(lb+lh+bh)

S = 2(l^2 + lh + lh) since l=b

S = 2(l^2 + 2lh)

Given that the box is open top.

S = l^2 + 4lh

And Surface Area of the box is 1200cm^2

1200 = l^2 + 4lh ....1

Making h the subject of formula

h = (1200 - l^2)/4l .....2

Volume is given as

V = l^2 × h

V = l^2 ×(1200 - l^2)/4l

V = (1200l - l^3)/4

the maximum point is at dV/dl = 0

dV/dl = (1200 - 3l^2)/4

dV/dl = (1200 - 3l^2)/4 = 0

3l^2= 1200

l^2 = 1200/3 = 400

l = √400

I = 20cm

Since,

h = (1200 - l^2)/4l

h = (1200 - 20^2)/4×20

h = (800)/80

h = 10cm

The largest possible volume V is ;

V = l^2 × h

V = 20^2 × 10 = 4000cm^3

4 0
3 years ago
A 15-day supply of vitamins costs $1.41, what is the price in cents per day
Free_Kalibri [48]
1.41/100 = 0.0141 * 15 = 0.21

$0.21
6 0
3 years ago
What is x+y=10;y=x+10
Alenkasestr [34]

[ Answer ]

\boxed{\bold{X \ = \ 0, \ Y \ = \ 10}}

[ Explanation ]

  • System Of Equations \bold{\left \{ {X \ + \ Y \ = \ 10} \atop {Y \ + \ X \ = \ 10}} \right.}

-----------------------------------

  • [Substitute] Y = X + 10

\bold{\begin{bmatrix}x+x+10=10\end{bmatrix}}

  • Isolate x for x + x + 10 = 10: x = 0

For y = 10

Substitute x = 0

Y = 0 + 10

0 + 10 = 10

y = 10

  • Solutions

X = 0

Y = 10

\boxed{\bold{[] \ Eclipsed \ []}}

3 0
3 years ago
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