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aksik [14]
3 years ago
11

The functions f(x) and g(x) are defined below.

Mathematics
1 answer:
Vilka [71]3 years ago
8 0
So you do g of x first which is root of -4 and then sub that into f of x to get root minus 4 to the power of 4 - 2 root -4 squared + 2 which is the same as (((-4)^1/2)^2) - 4 times -4 + 2 which is the same as -4^2+16 +2 which is the same as 16+16+2 which is 34. Hope this helps :)
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Pls help ASAP i don’t have time!!!!!
Lesechka [4]

Answer:

Step-by-step explanation:

Let the width be W.

14w=(8*10)

14w=80

The width of the frame needs to be at least 5.7 inches.

6 0
3 years ago
Model the function rule y = -2x - 3 with a table of values. Show your work
alexandr402 [8]
Here's a table of the function y=-2x-3

7 0
3 years ago
Find all the zeros of the polynomial function p(x) = x3 – 5x2 + 33x – 29
hram777 [196]

Answer:

\large \boxed{\sf \ \ x=1, \ \ x=2+5i, \ \ x=2-5i \ \ }

Step-by-step explanation:

Hello,

I assume that we are working in \mathbb{C}, otherwise there is only one zero which is 1. Please consider the following.

First of all, <u>we can notice that 1 is a trivial solution</u> as

   p(1) = 1^3-5\cdot 1^2 + 33\cdot 1-29=1-5+33-29=0

It means that (x-1) is a factor of p(x) so we can find two real numbers, a and b, so that we can write the following.

p(x)=(x-1)(x^2+ax+b)=x^3+ax^2+bx-x^2-ax-b=x^3+(a-1)x^2+(b-a)x-b

Let's identify like terms as below.

a-1 = -5 <=> a = -5 + 1 = -4

b-a = 33

-b = -29 <=> b = 29

So

\boxed{ \ p(x)=(x-1)(x^2-4x+29) \ }

Now, we need to find the zeroes of the second factor, meaning finding x so that:

x^2-4x+29=0 \ \text{ complete the square, 29 = 25 + 4}  \\ \\  x^2-2\cdot 2 \cdot x+2^2+25=0 \\ \\ (x-2)^2=-25=(5i)^2 \ \text{ take the root } \\ \\x-2=\pm 5i \ \text{ add 2 } \\ \\  x = 2+5i \ \text{ or } \ x = 2-5i

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0
3 years ago
$7.80/hour = ____ cents/minute? a. 4.7 b. 13 c. 8.8 d. 780
g100num [7]
1$ = 100 cents,    1 hour = 60 minutes

$7.80/hour =  (7.8*100) cents / (1*60)minutes
 
                   =  780 cents/60 minutes
 
                   = 13 cents/minute

<span>Option b.</span>
7 0
3 years ago
Read 2 more answers
If $3,000,000 is invested at 6% interest compounded continuously, how much
g100num [7]

Answer:

  $24,498,509.74

Step-by-step explanation:

The formula for the value as a function of time is ...

  V(t) = P·e^(rt)

Filling in the numbers and doing the arithmetic, we have ...

  V(35) = 3,000,000·e^(0.06·35) ≈ 24,498,509.74

Compounded continuously for 35 years, the investment will be worth $24,498,509.74.

3 0
3 years ago
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