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Sophie [7]
3 years ago
12

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
kaheart [24]3 years ago
3 0

Answer:

  • We want x
  • We have a 30-60-90 triangle
  • So we get
  • 2 \sqrt{3}
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How do you factor a^2×b - b^3​
Paraphin [41]

Answer:

b(a - b)(a + b)

Step-by-step explanation:

Given

a²b - b³ ← factor out b from each term

= b(a² - b²) ← a² - b² is a difference of squares

= b(a - b)(a + b)

3 0
3 years ago
Which exponential function has the greatest average rate of change over the interval [ 0 , 2 ]
PIT_PIT [208]

The exponential function which has the greatest average rate of change over the interval [0, 2] is option B.

<h3>How to calculate the average rate of change?</h3>

Mathematically, the average rate of change between two (2) points can be calculated by using this expression;

Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}

For option A, we have:

when x = 0;             when x = 2;

y = 3(1.6)^x               y = 3(1.6)^x

y = 3(1.6)^0              y = 3(1.6)^2

y = 3.                        y = 7.68

ΔA = (7.68 - 3)/(2 -0) = 2.34.

For option B, we have:

ΔA = (9 - 4)/(2 -0) = 2.5.

For option C, the exponential function has a common ratio of 2.

ΔA = 2.

For option D, we have:

ΔA = (10 - 8)/(1 -0) = 2.

In conclusion, we can logically deduce that the exponential function which has the greatest average rate of change over the interval [0, 2] is option B i.e 2.5.

Read more on average rate of change here: brainly.com/question/3493733

#SPJ1

5 0
1 year ago
Hattie paid a total of $348 for 6 online courses. Let f represent the cost of one course. Which equation shows an equality betwe
uysha [10]

Answer:

C is the answer

Step-by-step explanation:

If you multiply 58 to 6 gives you 348

Hope this helps

3 0
3 years ago
Original price: $35<br> What’s the percent of the discount <br> Sale price: $31.50
Harrizon [31]

Answer:

10%

Step-by-step explanation:

You can solve this equation by back-solving. Pick a random percent that you would think is close and convert it to decimal, then multiply it by the original price and subtract that from the original price.

5 0
3 years ago
Help please please!!! Graphing answers.
Dafna1 [17]

Answer:

B. $10

Step-by-step explanation:

6 0
4 years ago
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