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3 years ago

Find f(-2). 4 8 10 20

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

3 0

Answer:

The f(-2) is 20.

Step-by-step explanation:

f(x) = 2x^2 - 3x + 6

We have to find the f(-2),

f(-2) = 2×(-2)^2 - 3×(-2) + 6

f(-2) = 8 - (-6) + 6

f(-2) = 8 + 6 + 6

f(-2) = 20.

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Which ordered pair is a solution of the equation 4x - 2y = 20? *

xxTIMURxx [149]

Answer:

(6,2)

Step-by-step explanation:

Start by plugging in 6 for x and 2 for y

4(6)-2(2) = ?

24-4 = 20

4 0

2 years ago

What is the ratio in which the point P(3/4,5/12) decides the line segment joining points A(1/2,3/2) and B(2,-5)

timama [110]

Given:

The point $P\left(\dfrac{3}{4},\dfrac{5}{12}\right)$ divides the line segment joining points $A\left(\dfrac{1}{2},\dfrac{3}{2}\right)$ and $B(2,-5)$ .

To find:

The ratio in which he point P divides the segment AB.

Solution:

Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

$Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Let point P divides the segment AB in m:n. Then by using the section formula, we get

$\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{m(2)+n(\dfrac{1}{2})}{m+n},\dfrac{m(-5)+n(\dfrac{3}{2})}{m+n}\right)$

$\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{2m+\dfrac{n}{2}}{m+n},\dfrac{-5m+\dfrac{3n}{2}}{m+n}\right)$

On comparing both sides, we get

$\dfrac{3}{4}=\dfrac{2m+\dfrac{n}{2}}{m+n}$

$\dfrac{3}{4}(m+n)=\dfrac{4m+n}{2}$

Multiply both sides by 4.

$3(m+n)=2(4m+n)$

$3m+3n=8m+2n$

$3n-2n=8m-3m$

$n=5m$

It can be written as

$\dfrac{1}{5}=\dfrac{m}{n}$

$1:5=m:n$

Therefore, the point P divides the line segment AB in 1:5.

6 0

3 years ago

Identify the slope of the line for the equation y= -2/3× + 1/3

natita [175]

Answer:

$\textbf{The slope of the parallel line is given by $ \frac{-2}{3} $}\\$

Step-by-step explanation:

$\textup{The slope of any two parallel lines are equal and they only differ in their $y- intercepts$. }\\\textup{Given $y = \frac{-2}{3}x + \frac{1}{3} $}\\\textup{This is comparable to $y = mx + c$, where $m$ is the slope of that line.}\\\textup{Therefore, the slope of the given line and any line parallel to it is $ \frac{-2}{3}$.}$