How to simplify -64^(1/3)

Answer:

48.54‬

Step-by-step explanation:

You start of with 28.49, you spend (Subtract) 14.95, which gives us 13.54

In the bowling alley you win 35 dollars more, so you add, ( 13.54 + 35.00 = 48.54‬)

Answer :

All values of \( c \), specifically \( c = 49, 100, 144, \) and \( 169 \), can make a polynomial a perfect square trinomial depending on the other terms of the polynomial.

Step-by-step explanation :

1. Understanding Perfect Square Trinomials :

A perfect square trinomial is one that can be written in the form:

\[ (ax + b)^2 = a^2x^2 + 2abx + b^2 \]

From this formula, the value \( c \) would be equivalent to \( b^2 \), and the coefficient of the linear term (the term with \( x \)) would be \( 2ab \).

2. Analyzing Given Options :

  - Option 1 : c = 49

    For \( c = 49 \), \( b^2 = 49 \) which implies \( b = \pm 7 \). The middle term would then be \( 2a(7) = 14a \).

  - Option 2 : c = 100  

    For \( c = 100 \), \( b^2 = 100 \) which means \( b = \pm 10 \). The middle term would then be \( 2a(10) = 20a \).

  - Option 3 : c = 144  

    For \( c = 144 \), \( b^2 = 144 \) which translates to \( b = \pm 12 \). This makes the middle term \( 2a(12) = 24a \).

  - Option 4 : c = 169  

    For \( c = 169 \), \( b^2 = 169 \) which gives \( b = \pm 13 \). Consequently, the middle term would be \( 2a(13) = 26a \).

3. Conclusion :

Without specific details on the polynomial or its middle term, we can deduce that any of the provided options for \( c \) can result in a perfect square trinomial if the linear term of the polynomial matches the \( 2ab \) value corresponding to that \( c \).

Answer:the orginal price of the tennis racket is $47

Step-by-step explanation:

Let x represent the original price of the tennis racket at the sports store.

Leah has a 20% off coupon for the sports store. The tennis racket is available at a discount of 10%.

The store applies the coupon after the 10% is taken. The value of the discount on the original price of the tennis racket would be

10/100 × x = 0.1 × x = $0.1x

The discounted price of the racket would be

x - 0.1x = 0.9x

The value of the coupon would be

20/100 × 0.9x = 0.2 × 0.9x = 0.18x

The selling price after the coupon was applied would be

0.9x - 0.18x = 0.72x

She buys the racket for $34. This means that

0.72x = 34

x = 34/0.72 = $47

The transformation used to create the graph of g(x) from the graph of f(x) is a vertical and horizontal transformation.

The "-2" in the equation of g(x) reflects a vertical stretch by a factor of 2, which causes the graph to become narrower and steeper than f(x).

The "+6" in the equation of g(x) reflects a vertical shift upward by 6 units, which moves the entire graph of g(x) upward by 6 units.

Therefore, the transformation used to create the graph of g(x) from the graph of f(x) is a vertical and horizontal transformation.