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3 years ago

Change this radical to an algebraic expression with fractional exponents 3√a

1 answer:

5 0

$\bf ~\hspace{7em}\textit{rational exponents}
\\\\
a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n}
~\hspace{10em}
% rational negative exponent
a^{-\frac{ n}{ m}} \implies
\cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\sqrt[3]{a}\implies \sqrt[3]{a^1}\implies a^{\frac{1}{3}}$

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-5x-4y=2a 4x-5y=2 which of the following choices of A will results in a system of linear equations with exactly one solution

hjlf

Answer:

Step-by-step explanation:

-5x - 4y = 2a 4x - 5y = 2

-4y = 5x + 2a -5y = -4x + 2

y = (5x + 2a):(-4) y = (-4x + 2):(-5)

y = -⁵/₄x - ¹/₂a y = ⁴/₅x - ²/₅

m₁ = -⁵/₄, b₁ = -¹/₂a m₂=⁴/₅, b₂= -²/₅

-⁵/₄ ≠ ⁴/₅

Different slopes means that two lines have one point of intercept (no mater what the b's are). That means that the system of linear equations has exactly one solution for any value of a.

4 0

3 years ago

Alvin is 15 younger than elga the sum of their age is 27 what is elga age

zloy xaker [14]

Answer:

27 years old

Step-by-step explanation:

Let Alvin's age be x and Elga's age is y:

y - x = 15

x + y = 27

2y = 42 (use elimination method)

y = 21

x = 6 (plug it back into either equation)

Therefore Alvin is 6 and Elga is 27

7 0

2 years ago

Read 2 more answers

Eliza is a chef at a restaurant. she is making spaghetti sauce and put 14 tomatoes and 4 onions in the pot. what is the ratio of

notka56 [123]

Here,
tomato = 14
onion = 4
then,
ratio of tomato to onion = 14/4
= 7/2

7 0

3 years ago

A. -9/5<br> b. 9/5<br> c -5/9<br> d 5/9

Luba_88 [7]

slope = - $\frac{9}{5}$

using the points on the line ( - 4, 5 ) and ( 1, - 4 )

slope = ( - 4 - 5 )/( 1 - ( - 4 )) = - $\frac{9}{5}$

7 0

3 years ago

Berdine's Chicken Factory has several stores in the Hilton Head, South Carolina, area. When interviewing applicants for server p

nata0808 [166]

Answer:

The probability of the tip to be more than 200 is 0.1.

Step-by-step explanation:

As per the given data

Amount of tip Number

0-20 200

20-50 100

50-100 75

100-200 75

200+ 50

____________________

Total= 500

So what is the probability of tip to be more than 200 is given as

$P(200+)=\frac{no. \, of\,occurrence}{Total\, Number}$

From the table the value is 50 for the tip to be more than 200 where as the total occurrences are 500 so substituting values:

$P(200+)=\frac{no. \, of\,occurrence}{Total\, Number}\\P(200+)=\frac{50}{500}\\P(200+)=0.1$

So the probability of the tip to be more than 200 is 0.1.

5 0

3 years ago