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Assoli18 [71]
3 years ago
11

Which expression is equivalent too ooo​

Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
6 0

By definition of multiplication of powers of the same base we have to put the same base and add the exponents, then, we can rewrite the expression as:

(2 ^ {\frac {1} {2} + \frac {3} {4}}) ^ 2 =\\(2 ^ {\frac {4 + 6} {8}}) ^ 2 =\\(2 ^ {\frac {10} {8}}) ^ 2 =\\(2 ^ {\frac {5} {4}}) ^ 2 =

By definition of power properties we have to:

(a ^ n) ^ m = a ^ {n * m}

So, we have:

2 ^ {\frac {10} {4}} =\\2 ^ {\frac {5} {2}} =

By definition of properties of powers and roots we have:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

So, the expression is equivalent to:

2 ^ {\frac {5} {2}} = \sqrt {2 ^ 5}

ANswer:

Option B

k0ka [10]3 years ago
5 0

Answer:

a

Step-by-step explanation:

becuase you distribute the numbers

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Given that 7 x − 2 y = 35 Find y when x = − 9
Sergio [31]

so x = minus 9

then

7 × (-9) - 2y = 35

-63 - 2y = 35

-2y = 35 plus 63

-2y = 98

- y = 49

y = -49

3 0
3 years ago
Read 2 more answers
For what values of a does the equation a+x= 1+xa^2 have no solution?
Anton [14]

Answer:

We have the equation

a+x= 1+xa^2

we leave the terms with x on the left side of the equation and the independent terms on the right side.

x-xa^2=1-a\\(1-a^2)x=1-a\\

resolving for x we have that

x=\frac{1-a}{1-a^2}

Since we need that the equation doesn't have solution, then it is necessary that the denominator of x be 0 and this occur when 1-a^2=0\\1=a^2\\a=\pm1

Then, for a=\pm1 the equation hasn't solution

7 0
3 years ago
What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)? y = - 2y = -3x + 7 2x + 3y -
Karolina [17]

The line passing through (3, -1) and (-1, 5) has this slope:

5+1

m = ---------- = -3/2

-1-3

We need to find the y-intercept. To do this, substitute the knowns (-3/2 for m, -1 for y and 3 for x) into the slope-intercept equation:

-1 = (-3/2)(3) + b. Then: -1 = -9/2 + b, and so b = 9/2 - 1 = 7/2.

The desired equation is y = (-3/2)x + 7/2.

8 0
3 years ago
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Find all solutions of the equation algebraically. Use a graphing utility to verify the solutions graphically. (Enter your answer
Anuta_ua [19.1K]

Answer:

The solutions of the equation are 0 and 0.75.

Step-by-step explanation:

Given : Equation 16x^4 - 24x^3 +9x^2 =0

To find : All solutions of the equation algebraically. Use a graphing utility to verify the solutions graphically ?

Solution :

Equation 16x^4 - 24x^3 +9x^2 =0

x^2(16x^2-24x+9)=0

Either x^2=0 or 16x^2-24x+9=0

When x^2=0

x=0

When 16x^2-24x+9=0

Solve by quadratic formula, x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-(-24)\pm\sqrt{(-24)^2-4(16)(9)}}{2(16)}

x=\frac{24\pm\sqrt{0}}{32}

x=\frac{24}{32}

x=\frac{3}{4}

x=0.75

The solutions of the equation are 0 and 0.75.

For verification,

In the graph where the curve cut x-axis is the solution of the equation.

Refer the attached figure below.

7 0
3 years ago
When John bought his new computer, he purchased an online computer help service. The help service has a yearly fee of $25.50 and
Westkost [7]
The yearly fee can be subtracted, resulting in 170-25.50=144.5

So with 10.50 a session, you must divide, resulting in around 13.8 sessions.

13 sessions if you need a whole number.

Hope this helps
7 0
3 years ago
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