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3 years ago

What is the slope of the line whose equation is y = –2x – 5?

Mathematics

2 answers:

fomenos3 years ago

5 0

Answer:

Slope = -2

Step-by-step explanation:

The coefficient next to x is indicative of the equation's slope.

german3 years ago

5 0

Answer:

slope = gradient

straight line equation is y = mx + c

where m is gradient therefore answer is -2

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3 years ago

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3 years ago

A is 2 feet tall and grows at a rate of 25 inches per year B is 10 feet y'all and grows at a rate of 9 inches per year How many

Komok [63]

Answer:

The number of years it will take for them to be the same height is 6 years

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Here we have a question relating to optimization

Let the number of years at which they will be the same height be M

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2 ft + (25/12 × M) ft= 10 ft + (9/12 × M) ft which gives

→ (25/12 × M) ft - (9/12 × M) ft = 10 ft - 2 ft

→ (25/12 × M) ft - (9/12 × M) ft = 8 ft

→4/3 M ft = 8 ft

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3 years ago

Test yourself 2

mafiozo [28]

Ok, so dy/dx=0 at the point (0,3) that is where x=0 and y=3.

$\int { 6x+6dx } \\ \\ =\frac { 6{ x }^{ 2 } }{ 2 } +6x+C\\ \\ =3{ x }^{ 2 }+6x+C$

$\\ \\ \therefore \quad { f }^{ ' }\left( x \right) =3{ x }^{ 2 }+6x+C$

Now, f'(x)=0 when x=0.

Therefore:

$0=C\\ \\ \therefore \quad { f }^{ ' }\left( x \right) =3{ x }^{ 2 }+6x$

Now:

$\int { 3{ x }^{ 2 } } +6xdx\\ \\ =\frac { 3{ x }^{ 3 } }{ 3 } +\frac { 6x^{ 2 } }{ 2 } +C$

$={ x }^{ 3 }+3{ x }^{ 2 }+C\\ \\ \therefore \quad f\left( x \right) ={ x }^{ 3 }+3{ x }^{ 2 }+C$

But when x=0, y=3, therefore:

$3=C\\ \\ \therefore \quad f\left( x \right) ={ x }^{ 3 }+3{ x }^{ 2 }+3$

7 0

3 years ago

Read 2 more answers

What is the slope of the line whose equation is y = –2x – 5?​

What is the slope of the line whose equation is y = –2x – 5?