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horrorfan [7]
3 years ago
12

Martina creates the graph of function g by applying a transformation to function f

Mathematics
1 answer:
dsp733 years ago
3 0

Answer:

A

Step-by-step explanation:

f(x)=4^x-2

g(x)=4^x+7

it is horizontal shift 9 unit to the left

hope it works

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Please find x to this. 5/9x -11 = -51
mixas84 [53]

5/9x -11 = -51

5/9x = 11 - 51

5/9x = -40

5x = -360

x = -72

7 0
1 year ago
The U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions. Suppose a sample of 400 U.S. workers is
lorasvet [3.4K]

Answer:

1 is the answer

Step-by-step explanation:

Given that the U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions.

H_0: p=0.113\\H_a: p >0.113

(Right tailed test for testing of a sample proportion with population proportion)

Suppose a sample of 400 U.S. workers is collected in 2014 to determine whether union efforts to organize have increased union membership at 0.025 level of significance.

Test statistic Z = 1.31

p value for this right tailed test would be 0.095

This p value is greater than 0.025

Hence at 2.5%  significance level the conclusion is correct

1 is the answer.

6 0
4 years ago
Find the difference. (−r−10)−(−4r2+r+7)
serious [3.7K]
-2r + 4r2 - 17 OKCBFBCCC
4 0
3 years ago
What is the product of (3x-9) and 6x↑2-2x+5 Write your answer in standard form.
klio [65]

Answer:

a. 18x^3 -60x^2 + 33x - 45

b. No

Step-by-step explanation:

Given:

(3x-9) and 6x^2-2x+5

=> the production of them is:

(3x-9)(6x^2-2x+5) , we will use distributive law to solve this To do that. we first multiply  6x^2-2x+5 by 3x then by -9. This is done as follows

= 3x (6x^2-2x+5) - 9(6x^2-2x+5)  = (3x * 6x^2-3x * 2x+3x *5) - (9* 6x^2-9* 2x+9* 5)\\\\= (18x^3 -6x^2+ 15x) - (54x^2 - 18x +45)

Then Open both brackets

= 18x^3 -6x^2+ 15x -54x^2 + 18x -45

After that, we group the same terms

= 18x^3 -(6x^2 +54x^2)+ (15x  + 18x) -45

= 18x^3 -60x^2 + 33x - 45

(b) Is the product of (3x-9) and  6x^2-2x+5  equal to the product of (9x-3) and 6x^2-2x+5

No, let find the product of (9x-3) and 6x^2-2x+5 , we will use distributive law to solve this as the above example.

= (9x-3)(6x^2-2x+5)

= 9x (6x^2-2x+5) - 3(6x^2-2x+5)

=(9x * 6x^2 - 9x * 2x + 9x *5) - (3* 6x^2 - 3 * 2x + 3* 5)

= (54x^3  - 18x^2+ 45x) - (18x^2 - 6x +15)

After that, we open the bracket to find the same terms

= 54x^3  - 18x^2+ 45x -18x^2 + 6x -15

= 54x^3  - 18x^2 -18x^2 + 45x  + 6x -15

= 54x^3  - 36x^2 + 51x  -15  

As you can see 54x^3  - 36x^2 + 51x  -15   ≠18x^3 -60x^2 + 33x - 45

Hope it will find you well.

3 0
4 years ago
A Coke can has a radius of 4 cm and a height of 11 cm. What is the volume of the can?
Sidana [21]

Answer:

V ≈ 552.9 cm³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height ) , then

V = π × 4² × 11 = π × 16 × 11 = 176π ≈ 552.9 cm³ ( to the nearest tenth )

4 0
2 years ago
Read 2 more answers
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