Function f is defined by f(x)=2x-7 find f(3)

-3 17/20 as a decimal

alekssr [168]

Answer:

-3.85

-3 is a whole number, it comes before the decimal point.

17/20 is a fraction so it goes on the other side.

7 0

2 years ago

Find the equation of the line that is perpendicular to y = – 1 4 x – 8 and passes though the point (2, –4).

vivado [14]

The equation of the line is $y=\frac{1}{4}x-\frac{29}{7}$

Explanation:

The equation of the line is perpendicular to $y=-14 x-8$

The equation is of the form $y=mx+b$ where m=-14

<u>Slope:</u>

The slope of the perpendicular line can be determined using the formula,

$m_1 \cdot m_2=-1$

$-14 \cdot m_2=-1$

$m_2=\frac{1}{14}$

Thus, the slope of the line is $m=\frac{1}{14}$

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting the slope $m=\frac{1}{14}$ and the point (2,-4), we get,

$y+4=\frac{1}{14}(x-2)$

Simplifying, we get,

$y+4=\frac{1}{14}x-\frac{1}{7}$

$y=\frac{1}{14}x-\frac{1}{7}-4$

$y=\frac{1}{4}x-\frac{29}{7}$

Thus, the equation of the line is $y=\frac{1}{4}x-\frac{29}{7}$

3 0

3 years ago

Let v be a vector with initial point (-5, -11) and terminal point (6,2). What is v?

White raven [17]

Answer-The vector is

=

7

→

i

−

24

→

j

and the magnitude is

=

25

Explanation:

Let the point

A

=

(

−

2

,

7

)

and

B

=

(

5

,

−

17

)

Then,

−−→

A

B

=

(

5

−

(

−

2

)

−

17

−

7

)

=

(

7

−

24

)

The magnitude of

−−→

A

B

is

∣

−−→

A

B

∣

=

√

(

7

)

2

+

(

−

24

)

2

=

25

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Solve the system of equations

miv72 [106K]

Answer:

y = -3 when x = 4

Step-by-step explanation:

2x-4y = 20

x = 4

2(4) - 4y = 20

8 - 4y = 20

-4y = 12

y = -3

5 0

3 years ago

15 points. Answer and receive.

mars1129 [50]

Answer:

its prit's probably x/y

3 0

2 years ago