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stira [4]
3 years ago
15

If f(x)= 2(3x²-2x+2). Find:A) f(x+1)B) f(3)​C) f(y-2)

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
8 0
A) f(x+1) = 6x^2 + 8x + 6
1) substitute the value of x as (x+1)
2) 2(3(x+1)^2 -2(x+1) +2)
3) 6(x^2 + 2x + 1)
4) 6x^2 + 8x + 6

B) f(3) = 46
1) simplify the expression first
2) 6x^2 -4x + 4
3) Now just substitute 3: 6(3)^2 -4(3) + 4
4) 6•9 - 12 + 4 = 46

I hope this helps :)
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A digital camcorder repair service has set a goal not to exceed an average of 5 working days from the time the unit is brought i
garri49 [273]

Answer:

The degrees of freedom first given by:  

df=n-1=12-1=11  

Then we can find the critical value taking in count the degrees of freedom and the alternative hypothesis and then we need to find a critical value who accumulates 0.05 of the area in the right tail and we got:

t_{\alpha}= 1.796

And for this case the rejection region would be:

b) Reject H0 if tcalc >1.7960

Step-by-step explanation:

Information given

5, 7, 4, 6, 7, 5, 5, 6, 4, 4, 7, 5.

System of hypothesis

We want to test if the true mean is higher than 5, the system of hypothesis are :  

Null hypothesis:\mu \leq 5  

Alternative hypothesis:\mu > 5  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

The degrees of freedom first given by:  

df=n-1=12-1=11  

Then we can find the critical value taking in count the degrees of freedom and the alternative hypothesis and then we need to find a critical value who accumulates 0.05 of the area in the right tail and we got:

t_{\alpha}= 1.796

And for this case the rejection region would be:

b) Reject H0 if tcalc >1.7960

6 0
3 years ago
The sum of a number X and 1/2 equal to four which set of equations correctly represents X
tamaranim1 [39]

Answer:

D. 3 1/2

Step-by-step explanation:

Sum means addition (+)

Sum of a number, x and 1/2=4

This means the addition of the two numbers

x+1/2=4

Make x the subject of formula

x=4-1/2

Finding the L.C.M

= 8-1/2

x=7/2

x=3 1/2

4 0
2 years ago
Find the center of the circle that you can circumscribe about EFG, when E(2, 6), F(2, 2), and G(8, 2).
Vlad1618 [11]
After plotting all the points, the only one that makes sense is (4,3).

7 0
3 years ago
Evaluate the polynomial when x = 3 and y = - 8<br>x2 + y2 + xy<br>​
Ivahew [28]
<h3>Answer: 49</h3>

Work Shown:

Replace x with 3, replace y with -8. Use order of operations PEMDAS to simplify.

x^2 + y^2 + x*y

3^2 + (-8)^2 + 3*(-8)

9 + 64 - 24

73 - 24

49

5 0
2 years ago
Read 2 more answers
What is the answer h+6\5=2
nexus9112 [7]

Answer:

h = 4/5

Step-by-step explanation:

h + (6/5) = 2

h = 2 - (6/5)

h = (10/5) - (6/5)

h = (10-6)/5

h = 4/5

Check:

(4/5) + (6/5) = 2

10/5 = 2

8 0
2 years ago
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