Translate the sentence into an inequality.<br> The sum of 8 and y is greater than 26.

The function f(x) = 7x + 1 is transformed to function g through a horizontal compression by a factor of 1/3. What is the equatio

Iteru [2.4K]

Answer:

The answer is "3".

Step-by-step explanation:

If the compression factor of 3 is modified, the k value is 3 For a function f(x) the horizontal extending or compression is provided by g = f (bx)

Here b is constant. Where b is constant.

If b> 0, the function graph is condensed. The fact that perhaps the function is transformed by an encoding factor of 3 is given in the question.

$\to f(x)=7^x+1\\\\\to g=f(b(x))$

5 0

3 years ago

X + 34 = 60 what does "x" equal??

ddd [48]

Hey there!

60 - 34 = 26

x = 26

Hope this helps
Have. great day (:

7 0

3 years ago

Read 2 more answers

Sophie has $200 in a savings account that earns 5% annually. The interest is not

r-ruslan [8.4K]

Answer:

$210

Step-by-step explanation:

Formula:

P = A (1 + r% x t)

P: Answer

A: Original value

R%: Percentage increase

T: Time

P = 200 (1 + 5% x 1)

P = $210

4 0

2 years ago

1.

Nana76 [90]

Answer:

12 feet

Step-by-step explanation:

Area of a Rectangle: l × w

84 ft² = l × 7 ft

Length = 84 ft² ÷ 7 ft = 12 feet

Hope this helps.

8 0

3 years ago

Sample annual salaries (in thousands of dollars) for employees at a company are listed. 42 36 48 51 39 39 42 36 48 33 39 42 45 (

Sonja [21]

Answer:

a) Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

$\bar X = 41.538$

$s = 5.317$

b) 44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

$\bar X = 43.615$

$s= 5.583$

c) 3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

$\bar X= 3.462$

$s = 0.443$

d) As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3.462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

Step-by-step explanation:

For this case we can use the following formulas for the mean and standard deviation:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

Part a

Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

And if we calculate the mean we got:

$\bar X = 41.538$

$s = 5.317$

Part b

For this case we know that each value present a 5% of rise so we just need to multiply each value bu 1.05 and we have this new dataset:

44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

And if we calculate the new mean and deviation we got:

$\bar X = 43.615$

$s= 5.583$

Part c

The new dataset would be each value divided by 12 so we have:

3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

And the new mean and deviation would be:

$\bar X= 3.462$

$s = 0.443$

Part d

As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3,462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

5 0

4 years ago

Translate the sentence into an inequality. The sum of 8 and y is greater than 26.