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USPshnik [31]
3 years ago
9

What are the terms in the expression 2x−4y+8 ?

Mathematics
1 answer:
Sindrei [870]3 years ago
8 0

i think it is 2x and 4y

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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
Solve: 6 – x = 4(5 + x) – 4
frez [133]

Answer:

x= -2

Step-by-step explanation:

3 0
3 years ago
750 tickets were sold for a game for a total of $1,400.00. If adult tickets sold for $2.50 and children's tickets sold
postnew [5]

Answer:

They sold 750

adult tickets is 275 and...

children's tickets is 475

3 0
3 years ago
I am have trouble with these x-intercepts. Please help me.​
kotegsom [21]

Answer:

  1. x=8, x=2
  2. no solution
  3. no solution

Step-by-step explanation:

For the equation ...

  y = a(x -h)² +k

you can find the x-intercepts by setting y=0 and solving for x.

  0 = a(x -h)² +k

  -k = a(x -h)² . . . . . . subtract k

  -k/a = (x -h)² . . . . . divide by a

  ±√(-k/a) = x -h . . . . take the square root

  h ± √(-k/a) = x . . . . add h . . . . this is the general solution

__

So, for each of your problems, fill in the corresponding numbers and do the arithmetic. If (-k/a) is a negative number, the square root gives imaginary values, so there is "no solution".

1.  x = 5 ± √9 = {5 -3, 5 +3} = {2, 8} . . . . the x-intercepts are 2 and 8

2.  x = -3 ± √(-2) . . . . . . no solution; the roots are complex

3.  x = 5 ± √(-8/4) . . . . . no solution; the roots are complex

7 0
2 years ago
Read 2 more answers
What is equivalent to radical 40
Lana71 [14]

Answer:

2sqrt(10)

Step-by-step explanation:

radical 40

I rewrite this as sqrt(40)  It means the same thing

sqrt(40)

sqrt(4*10)

We know that sqrt(a *b) = sqrt(a) sqrt(b)

sqrt(4) sqrt(10)

2sqrt(10)

5 0
3 years ago
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