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strojnjashka [21]

3 years ago

9

Solve 3x-4=√(2x^2-2x+2)

1 answer:

DiKsa [7]3 years ago

8 0

Answer:

Step-by-step explanation:

Begin the solution by squaring both sides of the given equation. We get:

(3x - 4)^2 = 2x^2 - 2x + 2, or:

9x^2 - 24x + 16 = 2x ^2 - 2x + 2

Combining like terms results in:

7x^2 - 22x + 14 = 0

and the coefficients are a = 7, b = -22, c = 14, so that the discriminant of the quadratic formula, b^2 - 4ac becomes (-22)^2 - 4(7)(14) = 92

According to the quadratic formula, the solutions are

-b ± √discriminant -(-22) ± √92 22 ± √92

x = ------------------------------- = ----------------------- = ------------------------

2a 14 14

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Let f(x) = 4x + 3 and g(x) = -2x + 5. Find.(f o g) (5)

daser333 [38]

<span>f(x) = 4x + 3
g(x) = -2x + 5

(f o g) (5) means the function of g when g is a function of 5
(the function of the function concept)

so we need to get g(5) firstly

</span>
<span>g(x) = -2x + 5
g(5)= -2(5) + 5 = -5

After that, f(g(5)) = f(-5) = 4(-5) + 3 = -20 + 3 = -17

I hope that helps
</span>

4 0

3 years ago

A(-3, -2) and B(6, 1), determine the coordinates of point P on directed line segment stack A B with bar on top that partitions s

Bad White [126]

Answer:

P(3,0)

Step-by-step explanation:

We want to find the coordinates of P(x,y), that partitions $\overline{AB}$ in the ration m:n=2:1.

where $(x_1,y_1)=A(-3,-2)$ and $(x_2,y_2)=B(6,1)$ .

This is given by:

$x=\frac{mx_2+nx_1}{m+n}$

$y=\frac{my_2+ny_1}{m+n}$

We substitute the values to get:

$x=\frac{2*6+1*-3}{2+1}$

$x=\frac{9}{3}=3$

$y=\frac{2*1+1*-2}{2+1}$

$y=\frac{2-2}{2+1}$

$y=\frac{0}{3}=0$

The coordinates are (3,0)

3 0

3 years ago

what is the equation of the line that is parallel to the given line and passes through the point (2, 3)?

Alik [6]

Given problems:

Line parallel that passes through (2,3);

Solution:

To solve this problem, we need to first understand what parallel lines are.

A parallel line is any two line that does not meet at any point.

In order to achieve this, both lines must have the same slope.

So, we find the slope of the given line and write in the form for a straight line.

Slope of line = $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

let x₁, y₁ = (-2, -1)

x₂, y₂ = (2 , -3)

Now input the parameters and solve for the slope;

Slope of line = $\frac{-3-(-1)}{2- (-1)}$ = $\frac{-2}{3}$

Any line that would be parallel to this must have the same slope.

Equation of a straight line;

y = mx + c;

y and x are the coordinates;

m is the slope

c is the y-axis intercept;

From (2, 3);

y = 3 and x = 2; m = $\frac{-2}{3}$

3 = $\frac{-2}{3}$ x 2 + C

3 = $-\frac{4}{3}$ + C

C = $\frac{13}{3}$

So the equation of the line is;

y = $\frac{-2}{3} x$ + $\frac{13}{3}$

Multiply through by 3;

3y = -2x + 13

The equation of the line is 3y = -2x + 13

4 0

4 years ago

if the breadth of rectangle in one third of it's length and perimeter is 80 cm,find the length and breadth of rectangle

Serhud [2]

Length＝x
Breadth＝1/3x
(x＋1/3x)×2＝80
4/3x×2＝80
8/3x＝80
x＝30
Length＝30
Breadth＝1/3×30＝10

Hope my answer helped u :)

7 0

3 years ago

Mary has a rectangular garden that she needs to buy soil for. The length of the garden can be represented by 5x-1, and the width

astra-53 [7]

Answer:

Area = Length x width

Step-by-step explanation:

Area= 2

5 0

3 years ago