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3 years ago

WILL GIVE BRAINLIEST!!

Mathematics

1 answer:

Stels [109]3 years ago

4 0

Hello,

$m(x) = 5x + 4\\n(x) = 6 x-9\\Part\ A:\\(m + n)(x)=m(x)+n(x)=5x+4+6x-9=11x-5\\Part\ B:\\ (m-n)(x)=m(x)-n(x)=5x+4-(6x-9)=5x-6x+4+9=-x+13\\Part\ C: \\(m\ o\ n)(x)=m[n(x)]=m(6x-9)=5*(6x-9)+4=30x-45\\$

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2 years ago

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A cement walkway of uniform width has been built around an in-ground rectangular pool. the area of the walkway is 1344 square fe

Elza [17]

Answer:

6 feet.

Step-by-step explanation:

Dimensions of the Pool =80 feet long by 20 feet wide

Area of the walkway =1344 square feet.

If the width of the walkway=w

Length of the Larger Rectangle =80+2w
Width of the Larger Rectangle =20+2w

Area of the Walkway =Area of the Larger Rectangle - Area of the Pool

$1344=(80+2w)(20+2w)-(80*20)\\1344=80*20+160w+40w+4w^2-80*20\\4w^2+200w=1344\\4w^2+200w-1344=0\\We factorize\\4(w^2+50w-336)=0\\4(w^2-6w+56w-336)=0\\w(w-6)+56(w-6)=0\\(w-6)(w+56)=0\\w-6=0$ or $ w+56=0\\w=6$ ft or $ w=-56$ \\Therefore, the width of the walkway , w=6 feet.$

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2 years ago

Help me please..... please

Oksana_A [137]

Answer:

general rule Un=1.8n-21

U100=1.8(100)-21=159

Step-by-step explanation:

a5=a+4d, a5=-12

a10=a+9d, a10=-3

-12=a+4d

-3=a+9d subtract the system of equations

-9=-5d solve for d

d=1.8

substitute d into first equation to find a

-12=a+4(1.8)

a=-19.2

un. = a + (n − 1)d

Un=-19.2+(n-1)(1.8)

Un=1.8n-21

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3 years ago