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Triss [41]
3 years ago
8

If f(x) = –3x – 5 and g(x) = 4x – 2, find (f – g)(x).

Mathematics
2 answers:
user100 [1]3 years ago
8 0

Answer: -7x-3

Step-by-step explanation:

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

(f - g)(x) = f(x) - g(x)

= (-3x - 5) - (4x - 2)

= -3x - 5 - 4x + 2

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

(f - g)(x) = -7x - 3

Vikki [24]3 years ago
4 0

Answer:

(f-g)(x)=-7x-3

Step-by-step explanation:

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Anuta_ua [19.1K]

Answer:

<h3><u>Let's</u><u> </u><u>understand the concept</u><u>:</u><u>-</u></h3>

Here angle B is 90°

So \triangle ABC and \triangle ABD Are right angled triangle

So we use Pythagoras thereon for solution

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>
  • First in triangle ABC

perpendicular=p=8cm

Hypontenuse =h =10cm

  • We need to find base=b

According to Pythagoras thereon

{\boxed{\sf b^2=h^2-p^2}}

  • Substitutethe values

\longrightarrow\sf b^2=10^2-p^2

\longrightarrow\sf b={\sqrt {10^2-8^2}}

\longrightarrow\sf b={\sqrt{100-64}}

\longrightarrow\bf b={\sqrt {36}}

\longrightarrow\sf b=6

\therefore\overline{BC}=6cm

  • BD=BC+CD

\longrightarrowBD=9+6

\longrightarrowBD=15cm

  • Now in \triangle ABD

Perpendicular=p=8cm

Base =b=15cm

  • We need to find Hypontenuse =AD(x)

According to Pythagoras thereon

{\boxed {\sf h^2=p^2+b^2}}

  • Substitute the values

\longrightarrow\sf h^2=8^2+15^2

\longrightarrow\sf h={\sqrt {8^2+15^2}}

\longrightarrow\sf h={\sqrt {64+225}}

\longrightarrow\sf h={\sqrt {289}}

\longrightarrow\sf h=17cm

\therefore{\underline{\boxed{\bf x=17cm}}}

3 0
3 years ago
Find the equation of the line.
hoa [83]

Answer:

y=3x+3

Step-by-step explanation:

To find the slope, find two points and use the rise over run.

Some points you can use are (0, 3) and (1, 6)

The rise is 3 and the run is 1.

3/1 = 1.

The slope is 3.

To find the y-intercept, find the point where x = 0.

(0, 3)

The y-intercept is 3.

Now you can write an equation.

y=mx+b

m is the slope and b is the y-intercept.

y=3x+3

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Step-by-step explanation:

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4 0
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