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3 years ago

Let f (x)=2x-1 ,g (x)=3x,solve g (f (x))

1 answer:

8 0

G(x) = 3x
g(x) = 3*( x )
g(f(x)) = 3*( f(x) ) ... every x has been replaced with f(x)
g(f(x)) = 3*( 3x ) ... replace the f(x) on the right side with 3x
g(f(x)) = (3*3)x
g(f(x)) = 9x

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Find the area of the shaded region

PIT_PIT [208]

Answer:

Area of the shaded region= $500inch^2$

Step-by-step explanation:

Area of the shaded region= Area of the triangle- Area of the rectangle

Dimensions of the triangle:

Base= 40 inch

Height= 40 inch

Area of a triangle= $\frac{1}{2}*Base*Height$

$=\frac{1}{2}*40*40\\\\ =\frac{1}{2} *1600\\\\=800 inch^2$

Area of the rectangle= Length*Width

Length=30 inch

Width=10 inch

Area:

$= 30*10\\\\=300 inch^2$

Area of the shaded region= $800-300= 500 inch^2$

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3 years ago

Find an ordered triple that represents 65 = (2, 6, 8) and Ž = (1, -2, 6).

Igoryamba

Answer:

< 40, 28, 72 >

Step-by-step explanation:

Given

y = < 2, 6, 8 > and z = < 7, - 2, 6 > , then

6y + 4z

= 6 < 2, 6, 8 > + 4 < 7, - 2, 6 >

Multiply each component by the scalar quantity

= < 6(2), 6(6), 6(8) > + < 4(7), 4(- 2), 4(6) >

= < 12, 36, 48 > + < 28, - 8, 24 >

Add corresponding components

= < 12 + 28, 36 - 8, 48 + 24 >

= < 40, 28, 72 >

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3 years ago

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Answer:

Step-by-step explanation:

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The painter painted 11 apartments because 4 doesn’t go into 45, so the closest think to 45 is 4 x 11 (44). the painter will have 1 gallon left.

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Marisa had rounded 3.48 to 4 and times it to 7.33 which she rounded to 8

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