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Gekata [30.6K]
3 years ago
6

Given f(x) = 2x² + 4 and g(x) = 3x – 1 …… What is (fg)(x)? Show your work.

Mathematics
1 answer:
Lelu [443]3 years ago
6 0

Answer:

(fg)(x) = 6x³ - 2x² + 12x - 4

Step-by-step explanation:

( f g ) ( x ) = f ( x ) * g ( x )

f(x) = 2x² + 4

g(x) = 3x – 1

( f g ) ( x ) = (2x² + 4) (3x – 1)

               = 6x³ - 2x² + 12x - 4

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the width of a piece of rectangular land is 5m shorter rhan 1/3 of its length .find the width of the land if the length is 60m,1
aniked [119]

Answer:

If width = 60 m, length = 195 m.

If width = 150 m, length = 465 m.

Step-by-step explanation:

The area of a rectangle is l * w or length times width.

So we can set an equation (letting w = width and x = length)

w = 1/3x - 5

Part 1: width = 60m:

60 = 1/3x - 5

65 = 1/3x

x = 195 m

Part 2: width = 150 m:

150 = 1/3x - 5

155 = 1/3x

x = 465 m

6 0
3 years ago
Work out the circumference of this circle.
Arada [10]

Answer: 52.7856cm

Step-by-step explanation:

Circumference of a circle = 2πr

Note that radius = Diameter / 2 = 16.8/2 = 8.4cm

Circumference = 2πr

= 2 × 3.142 × 8.4

= 52.7856cm

Therefore, the circumference of the circle is 52.7856cm

6 0
3 years ago
Factor out the greatest common<br> factor: -16x? + 12x?
svlad2 [7]

Answer:

4x is the greatest common factor of those two.

Step-by-step explanation:

(-16x + 12x)

4x (-4 + 3)

4x is the GCF

Why you may ask is 4x the GCF because when you divide 4x from both you're left with -4 + 3...... you can't take out the negative from the 16 because when you check your work negative 4x times 3 gives you negative 12x which isn't the equation you started with. So positive 4x times 3 give you 12x.

Hopes this helps!!!

7 0
3 years ago
What is 8blank7 hundred divided by 4 equal
Gnoma [55]
\frac{870}{4} = \frac{435}{2} &#10;

<span>(Decimal: 217.5)
</span>
For if its
\frac{8700}{4}

Then is =2175

~ Hope this helps 
3 0
3 years ago
Please help me !!!!!!
cestrela7 [59]

Given:

The set of pair and graphs.

To find:

The domain and range.

Solution:

We know that,

Domain is the set of x-values or input values.

Range is the set of y-values or output values.

(a)

The given set of ordered pairs is

{(-3,3),(5,5),(-3,2),(5,3)}

Here, the x-coordinates are -3, 5, -3, 5.

A set contains distinct values.

Therefore, the domain is {-3,5}.

(b)

The graph is given.

From the given graph the set of ordered pairs is

{(-2,1),(-1,0.5),(-1,3),(0,0),(0,2),(1,0.5),(1,3)(2,1)}

Here, the y-values are 1, 0.5, 3, 0, 2, 0.5, 3, 1.

Therefore, the range is {0, 0.5, 1, 2, 3}.

(c)

The graph is given.

From the given graph the set of ordered pairs is

{(-2,3),(-1,3),(0,1),(2,4)}

Here, the x-values are -2, -1,0, 2.

Therefore, the domain is {-2,-1,0,2}.

4 0
3 years ago
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