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Zigmanuir [339]
3 years ago
7

What is the next term in the sequence? 1/2,2/6,3/18,4/54

Mathematics
1 answer:
Anni [7]3 years ago
6 0
The next sequence is 5/162.
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Martha wrote an example of a quadratic function for a homework assignment. The function she wrote is shown. f(x) = 5x3 + 2x2 + 7
larisa86 [58]

<u><em>Answer:</em></u>

<u>The two correct options are:</u>

The first term, 5x³, can be eliminated

The exponent on the first term, 5x³, can be changed to 2 and then combined with the second term, 2x²

<u><em>Explanation:</em></u>

The degree of an expression is given based on the highest power in the expression

<u>The given expression is:</u>

5x³ + 2x² + 7x - 3

We can note that the highest power in the given expression is 3 which means that <u>the degree of the expression is 3</u>

<u>A quadratic function</u> is a function of <u>degree 2</u>. This means that the highest degree in the expression (function) must be 2

Accordingly, Martha should get rid of the term with power 3 (5x³) in her equation

<u>This can be done by 2 methods:</u>

1- She simply eliminates the term with the third degree

2- She changes the degree of the term with degree 3 to a lower degree and combines it with any existent like term

<u>Comparing the above with the given options, we can conclude that the two correct options are:</u>

- The first term, 5x³, can be eliminated

- The exponent on the first term, 5x³, can be changed to 2 and then combined with the second term, 2x²

Hope this helps :)

6 0
3 years ago
Read 2 more answers
A vase in the shape of a cube measures 8 inches on each side. The vase is half full of water. How many cubic inches of water are
Ne4ueva [31]

Answer:

256

Step-by-step explanation:

First find the volume of the cube, which is 8^3, or 512. Half of that is how much water there is, which is 256 in^3.

7 0
3 years ago
How to solve the equation and rounding the answer to four decimal places
pogonyaev
The answer is 0.5778 or 0.578 rounded

5 0
3 years ago
A quadratic rule for a particular parabola is of the form y = ax^2 + bx. The parabola passes through with the coordinates (-1, 4
Scilla [17]

Answer:

y = (4/7)x² - (24/7)(x)

Step-by-step explanation:

4 = a(-1)² + b(-1)

4 = a - b

0 = a(6)² + b(6)

36a + 6b = 0

b = -6a

4 = a - (-6a)

7a = 4

a = 4/7

b = -24/7

y = (4/7)x² - (24/7)(x)

6 0
3 years ago
Solve the quadratic equation below for the exact values of x:<br> 4x^2-5=75
grandymaker [24]

Step-by-step explanation:

4 {x}^{2}  - 5 = 75 \\ 4 {x}^{2}  = 75 + 5 \\ 4 {x}^{2}  = 80 \\  {x}^{2}  =  \frac{80}{4}  \\  {x}^{2}  = 20 \\ x = \pm \sqrt{20}  \\ x = \pm 2 \sqrt{5}

6 0
3 years ago
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