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navik [9.2K]
3 years ago
10

Show that (x+1)(x+3)(x+5) can be written in the form ax3+bx2+cx+d where a b c and d are all positive intergers

Mathematics
1 answer:
Sophie [7]3 years ago
7 0

Answer:

Step-by-step explanation:

(x+1)(x+3)(x+5), multiply first two parenthesis

(x² +3x +x +3)(x+5), combine like terms

(x² +4x +3) (x+5), multiply the parenthesis

(x³ +5x² +4x² +20x +3x +15), combine like terms

x³ +9x² +23x +15 is in the form ax³ +bx² +cx +d

a=1, b=9, c=23, d=15 are all positive integers

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Encuentre el angulo positivo y que es coterminal con -270
GalinKa [24]
Ok so ummmm idk how to speck in that but well ummmmm idk
6 0
3 years ago
A hovercraft takes off from a platform. Its height (in meters), xxx seconds after takeoff, is modeled by: h(x)=-2x^2+20x+48h(x)=
Ad libitum [116K]

the maximum height is the y-value of the vertex.

h(x) = -2x² + 20x + 48

      <em>  a=-2, b=20, c=48</em>

x = \frac{-b}{2a} = \frac{-20}{2(-2)} = \frac{-20}{-4} = 5

h(5) = -2(5)² + 20(5) + 48

      =  -50   +  100   + 48

      =          50         + 48

      =                98

Answer: 98 meters

8 0
3 years ago
After school, Hugo helps out at a bunny shelter called Hoppy's Home. He cleans cages and feeds all 8 bunnies at the shelter. In
amm1812

Answer:

25.3

1_ draw a triangle

the shortest side is a which will be 8(bunnies)

diagonal will be c ( what you need to find )

the last side will be b.

so the equation is a2+b2=c2 ( 2=squared)

that means..... 8x8+24x24=c

8x8=64

24x24=576

then add

576+64=640

the find square root

√640=25.2982212813

simplify to 25.3

you know your answer is correct because c is always the biggest side

5 0
3 years ago
Hey motorcycle shop maintains an inventory of four times as many new bikes as used bikes. If there are 16 new bikes how many use
nlexa [21]
Motorcycle shop maintains

U - used bikes
N - new bikes = 4N

1 U = 4N
? U = 16 new bikes

16/4 = 4. There are 4 used bikes that are in stock.
7 0
3 years ago
Read 2 more answers
Find two consecutive integers whose sum is -29
LuckyWell [14K]

Example:

The sum of two consecutive integers is -15.  What is the product of the two integers?

x = 1st consecutive integer

x + 1 = 2nd consecutive integer   {consecutive integers increase by 1}


x + x + 1 = -15   {the sum of two consecutive integers is -15}

2x + 1 = -15   {combined like terms}

2x = -16   {subtracted 1 from each side}

x = -8   {divided each side by 2}

x + 1 = -7   {substituted -8, in for x, into x + 1}


-8 and -7 are the two consecutive integers


Their product is 56.

​


8 0
3 years ago
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