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inn [45]
3 years ago
5

find the product with the exponent in the simplest form. Then, identify the values of x and y. 6^1/3 * 6^1/4 = 6^x/y

Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0
<span>6^1/3 * 6^1/4 = 6^x/y

The key to solving this problem is understanding properties of exponents:
If you are multiplying two powers with the same base (in this case the base is 6), the result is the base raised to the power of the two exponents added together.

6^1/3+1/4 = 6^x/y
6^7/12 = 6^x/y
 
So the product would be 6^7/12
x = 7
y = 12</span>
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Complete the square to form a perfect square trinomial x^2-14x+
fiasKO [112]
Answer: x^2 - 14x + 49

Explanation:

1) Divide the coefficient of x by 2:

14 / 2 = 7

2) so you have to add 7^2 = 49

x^2 - 14x + 49

3) that trinomial is equivalent to:

=> (x - 7)^2

4) prove that using the formula (a - b)^2 = a^2 - 2ab + b^2

(x - 7)^2  = x^2 - 14x + 49

Then you have to add 49 to complete the square. and form a perfect square trinomial.
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3 years ago
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3 years ago
Use the information given to enter an equation in standard form.
Marysya12 [62]

Answer:

The equation in the standard form of the line through the given points is;

y = 3x - 17

Step-by-step explanation:

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m = (7-10)/(8-9) = -3/-1 = 3

The stands equation form is;

y = mx + b

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7 0
3 years ago
Brian multiplied his average speed of 14.73 miles per hour by the amount of time he spent cross-country skiing. His product was
KonstantinChe [14]

Answer:

Brian's average speed: 14.73 mile/hour

The traveled distance by skiing he estimated: 11.0475 miles.

As the information provided in table, the time he spent for skiing is 0.75

=> The distance Brian traveled by skiing: 14.73 x 0.75 = 11.0475 (miles)

=> Brian's product is correct.

=> Rounding to the nearest whole number => 11.0475 = 11 (miles)

Rounding the Brian's average speed to the nearest whole number:

=> 14.73 = 15 mile/hour

Round the activity time to the nearest whole number:

=> T = 3 + 1.45 + 1.2 + 0.75 = 6.4 = 6 (hour)

Hope this helps!

:)

5 0
3 years ago
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How many games would Chase have to win in a row in order to have a 75% winning record?
morpeh [17]

Answer:

the answer is that he would have to win 7 games in a row to get 75%

Step-by-step explanation:

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3 years ago
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