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Elena L [17]
3 years ago
5

The expression x^4-16 is equivalent to the product of (x+2) and p(x) which expression could represent p(x)

Mathematics
1 answer:
bagirrra123 [75]3 years ago
3 0
Easy
differnce of 2 perfect squares
a²-b²=(a+b)(a-b)

in this case
x⁴=(x²)²
16=4²

(x²)²-4²=(x²+4)(x²-4)
x²-4 can be factored since 4=2²
x²-2²=(x+2)(x-2)

complete factored form is
(x²+4)(x+2)(x-2)
gegroup to seperate (x+2)
(x+2)[(x²+4)(x-2)]
(x+2)p(x)

p(x)=(x²+4)(x-2)
expanded
p(x)=x³-2x²+4x-8
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2. given 2x2 system<br> X + y - Z=3<br> 2y + 2z = 6<br> -2y - Z = -2
Lesechka [4]

Answer:

Step-by-step explanation:

X + y - Z=3                   ------------------(I)

2y + 2z = 6                ------------------(II)

-2y - Z = -2          ------------------(III)

Multiply equation (III) by 2 and add equation (II) & (III)

(II)         2y + 2z = 6

(III)*2    <u>-4y - 2z = -4</u>        {Now add and z will be eliminated}

            -2y       = 2

                      y = 2/-2

y = -1

Plugin y =-1 in equation (II)

2*(-1) + 2z = 6

-2 +    2z = 6

          2z = 6 + 2

          2z = 8

            z = 8/2

z = 4

Plugin y = -1 & z = 4 in equation(I)

x - 1 - 4  = 3

     x - 5 = 3

          x = 3 + 5

x = 8

8 0
3 years ago
Help with this one!<br><br><br> Show steps pls :)
mart [117]

Answer:

$ 57.77

Step-by-step explanation:

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6 0
3 years ago
5-(8v+5)= -4(1 + 3v)
Lilit [14]
5-(8v+5) = -4(1+3v)
5-8v-5 = -4 - 12v
-8v = -4 - 12v
4v = -4
v = -1
8 0
2 years ago
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t is commonly assumed that babies are equally likely to come as either a boy or a girl. This is not true. Actually, about 51.3%
eduard

Answer:

The probability they have one boy and one girl = 0.50 = 50 %

Step-by-step explanation:

Here the family has two children, we need to find what is the probability they have one boy and one girl.

Probability for babies are boys = 51.3% = 0.513

Probability for babies are girls = 1 - 0.513 = 0.487

The probability they have one boy and one girl = 1 -  probability that they have two boys - probability that they have two girls

The probability they have one boy and one girl = 1 - 0.513² - 0.487² = 0.499 = 0.50

The probability they have one boy and one girl = 0.50 = 50%

7 0
3 years ago
50 people sponsor paula and she raises a total of £180 for charity. what is the mean average amount sponsored
mylen [45]
The mean is the average so 180/50 = 3.6 therefor the mean of each donation from each sponsor is £3.60
4 0
3 years ago
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