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2 years ago

How do you add fractions?

Mathematics

1 answer:

Kay [80]2 years ago

5 0

The denominators have to be the same , if they're not then you can make them the same using a common denominator

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Let the sample be 11, 3, 4, 3, 5, 7, 8, 12. What is the range of the sample?

grin007 [14]

Solution

- The Range of a dataset is simply the difference between the largest number and the smallest number in the dataset.

- In the dataset given, the largest number is 12 while the smallest number is 3.

- Thus, the Range of the dataset is

$12-3=9$

Range = 9

7 0

10 months ago

Let f(x)=4x-1 and g(x)=2x^2+3. Perform each function operations and then find the domain.

Triss [41]

F(x) = 4x - 1
g(x) = 2x² + 3

1. (f + g)(x) = (4x - 1) + (2x² + 3)
(f + g)(x) = 2x² + 4x + (-1 + 3)
(f + g)(x) = 2x² + 4x + 2
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

2. (f - g)(x) = (4x + 1) - (2x² + 3)
 (f - g)(x) = 4x + 1 - 2x² - 3
(f - g)(x) = -2x² + 4x + 1 - 3
(f - g)(x) = -2x² + 4x - 2
Domain: {x|-∞ < x < ∞}, (-∞, ∞)
3. (g - f)(x) = (2x² + 3) - (4x - 1)
(g - f)(x) = 2x² + 3 - 4x + 1
(g - f)(x) = 2x² - 4x + 3 + 1
(g - f)(x) = 2x² - 4x + 4
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

4. (f · g)(x) = (4x + 1)(2x² + 3)
(f · g)(x) = 4x(2x² + 3) + 1(2x² + 3)
(f · g)(x) = 4x(2x²) + 4x(3) + 1(2x²) + 1(3)
(f · g)(x) = 8x³ + 12x + 2x² + 3
(f · g)(x) = 8x³ + 2x² + 12x + 3
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

5. $(\frac{f}{g})(x) = \frac{4x - 1}{2x^{2} + 3}$
Domain: 2x² + 3 ≠ 0
- 3 - 3
2x² ≠ 0
2 2
 x² ≠ 0
x ≠ 0
(-∞, 0) ∨ (0, ∞)

6. $(\frac{g}{f})(x) = \frac{2x^{2} + 3}{4x - 1}$
Domain: 4x - 1 ≠ 0
+ 1 + 1
4x ≠ 0
4 4
x ≠ 0
 (-∞, 0) ∨ (0, ∞)

6 0

3 years ago

Find the geometric mean between each pair of numbers. sq root 49 and sq root841

vodomira [7]

Answer:

The geometric mean between each pair of numbers $\bold{\sqrt{49} \text { and } \sqrt{841} \text { is } 14.24}$

Solution:

The Geometric mean between two numbers a and b is given as Geometric mean = $\bold{\sqrt{ab}}$ --- eqn 1

The Geometric Mean is a special type of average where we multiply the numbers together and then take a square root for the numbers.

From question, given that two numbers are $\sqrt{49} and \sqrt{841}$

Hence we can say “a” = $\sqrt{49}$ =7

Similarly “b” = $\sqrt{841}$ = 29

We have to find the geometric mean between “7” and “29”

By using equation 1,

Geometric mean between 7 and 29 = $\sqrt{7 \times 29} = \sqrt{203}$ = 14.24

Hence the geometric mean between $\sqrt{49} \text { and } \sqrt{841} \text { is } 14.24$

8 0

3 years ago

Find the x and y intercepts for the equation 3x-2.5y = 30.

Dmitry_Shevchenko [17]

Answer: x-int = 10 and y-int = -12

Explanation:

Find x intercept:

To find x intercept set y = 0

3x - 2.5(0) = 30

3x = 30
x = 10

Find y-int:
Set x = 0

3(0) - 2.5y = 30
-2.5y = 30
y = 30/-2.5
y = -12

7 0

3 years ago

Read 2 more answers

Please help urgent!!! does 3 3/10 + 2 4/5 + 2 1/10 = 8.2?

Advocard [28]

Answer:

Yes

Step-by-step explanation:

Yes, 3 3/10 + 2 4/5 + 2 1/10 is equal to 8.2 because 3 3/10 + 2 4/5 + 2 1/10 is 41/5 and that into a mixed number is 8 1/5 and THAT into a decimal is 8.2

Hope this helped!

4 0

3 years ago