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3 years ago

Let f(x) = 4x+3 and g(x) = -2x+5

1 answer:

3 0

f(x) = 4x + 3
g(x) = -2x + 5

(f · g)(5) = (4(5) + 3)(-2(5) + 5)
(f · g)(5) = (20 + 3)(-10 + 5)
(f · g)(5) = (23)(-5)
(f · g)(5) = -115

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Directed line segment PT has endpoints whose

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Answer:

(2 , 5)

Step-by-step explanation:

point (x,y) that divides the segment PI in the ratio 2 to 1

PD=4 - (-2) = 6 PE/ED=2/1 PE=2ED PE+ED=6 3ED=6 ED=2 PE=4

coordinate of E (2,1) .... 2 is x coordinate of E

DI=7-1=6 DF/FI=2/1 DF=4

coordinate of F (4,5) .... .... 5 is y coordinate of E

CF // PD PC/CI=DF/FI=2/1

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3 years ago

A) A rectangular prism 10 m 10 m 50 m Volume: Surface Area:

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Answer:

$\huge\boxed{V=5,000m^3}\\\boxed{SA=2,200m^2}$

Step-by-step explanation:

The formula of a volume of a rectangular prism $a\times b\times c$ :

$V=abc$

The formula of a surface area of a rectangular prism $a\times b\times c$ :

$SA=2(ab+ac+bc)$

We have

$a=10m;\ b=10m;\ c=50m$

Subtitute:

$V=(10)(10)(50)=5,000(m^3)\\\\SA=2\bigg((10)(10)+(10)(50)+(10)(50)\bigg)\\=2(100+500+500)=2(1100)=2,200(m^2)$

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Step-by-step explanation:

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56 I hope this helped.

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3 years ago

Expand and simplify A. (x – 2y)(y – 3x) B. (2p+3)(p^2-4p-7)

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Answer:

A. (x−2y)(y−3x)

=(x+−2y)(y+−3x)

=(x)(y)+(x)(−3x)+(−2y)(y)+(−2y)(−3x)

=xy−3x2−2y2+6xy

=−3x2+7xy−2y2

B. (2p+3)(p2−4p−7)

=(2p+3)(p2+−4p+−7)

=(2p)(p2)+(2p)(−4p)+(2p)(−7)+(3)(p2)+(3)(−4p)+(3)(−7)

=2p3−8p2−14p+3p2−12p−21

=2p3−5p2−26p−21

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3 years ago