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aksik [14]
3 years ago
6

Rewrite the rational exponent as a radical

Mathematics
1 answer:
Rainbow [258]3 years ago
5 0

\bf a^{\frac{ n}{ m}} \implies  \sqrt[ m]{a^ n}  \qquad \qquad \sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\ -------------------------------\\\\ \left( 5^{\frac{3}{4}} \right)^{\frac{2}{3}}\implies 5^{\frac{3}{4}\cdot \frac{2}{3}}\implies 5^{\frac{2}{4}}\implies 5^{\frac{1}{2}}\implies \sqrt[2]{5^1}\implies \sqrt{5}

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The sum of two confescutive integers is at least 46. What is the least possibly pair of integers?
dezoksy [38]
An integer is a whole number. Sum means to add and since they are consecutive, there is only a difference of 1 between them.

1) 21 + 23: not consecutive
2) 23+24= 47: has to be at least 46
3) 22+23= 45: has to be at least 46
4) 24+25= 49: has to be at least 46

So we have two possibilities: either #2 or #4. Find least possible pair of integers.

x= first integer
x+1= second integer

x + (x+1) >= 46
2x + 1 >=46
2x>=45
x>=22.5

Answer:
The first integer has to be greater than or equal to 22.5. Since integers are whole numbers, round up to the next whole number. The least possible integers are #2) 23 and 24.

Hope this helps! :)
3 0
3 years ago
demarco wrote two correct variable expressions to represent the phrase “the product of a number and 7”. which variable expressio
Norma-Jean [14]
The question is asking to choose among the following choices that states the expressions that could be represented in the said phrase and in my further understanding, I would say that the answer would be n.7, I hope you are satisfied with my answer and feel free to ask for more 
3 0
3 years ago
Read 2 more answers
Pi x 5 what do you do with this I do not understand
qaws [65]
You would be multiplying pi (3.14) by the number 5
5 0
4 years ago
Write a polynomial function $f$ of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
olganol [36]

Answer:

f(x) = x^{3} + 4x^{2} -7x^{} -10^{}

Step-by-step explanation:

The zeros of the polynomial function are given us as -5,-1,2

If the zeros of a polynomial function are α,β,ω, the polynomial function can be obtained using the expression below:

f(x) = (x - α)(x - β)(x - ω)

where α = -5, β = -1, and ω = 2

f(x)=(x-(-5) )(x -(-1))(x - 2) = (x+5)(x+1)(x-2)\\\\f(x)=(x+5)(x^{2} -2x + x -2) = (x+5)(x^{2}  -x-2)\\\\f(x)=x(x^{2}  -x-2)+5(x^{2}  -x-2)\\\\f(x)= x^{3} - x^{2} -2x + 5x^{2} - 5x - 10\\\\f(x)= x^{3} + 4x^{2} -7x - 10

<em>NB: To arrive at the answer, expand the brackets and after expansion, collect like terms to obtain the final answer</em>

4 0
3 years ago
Which ordered pair represents the y-intercept of the graph of the equation y = -3x - 9?
german
The y-intercept is the point where the graph crosses the y-axis. It is found by setting x=0. For your equation, that makes the x-term vanish and only the constant remains. The ordered pair is ...
  (x, y) = (0, -9)

4 0
3 years ago
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