Y=(x^2+2x)/(x+2) if x=2. Find x^2

4. The diagram at right shows the graph of 3x + 4y = 12. The shaded figure is a square, three of whose vertices are on the coord

nikklg [1K]

Remark

This is a very interesting question. Draw a line from the origin to where the upper right vertex of the square touches the line. That line has the property that the its equation is y = x. So the "solution" to the point of intersection is the solution of the two equations.

y = x (1)

3x + 4y = 12 (2)

Put x in for y in equation 2

3x + 4x = 12

7x = 12

x = 12/7

x = 1.714

y = 1.714

Problem A

x intercept

The x intercept occurs when y = 0

3x + 4(0) = 12

3x = 12 Divide by 3

x = 12/3

x = 4

the x intercept = (4,0)

y intercept

The y intercept occurs when x =0

3(0) + 4y = 12

4y = 12

y = 12/4

y = 3

y intercept = (0,3)

Problem B

x and y both equal 1.714 so they are also the length of the square's side.

Problem C

See solution above. x =y is the key fact.

x = y = 1.714

5 0

3 years ago

There is $48 to be divided among 3 people. the ratio of dividing is 3:2:1. How much does the person who receives the most will g

hodyreva [135]

Answer:

The person who receives the most will get $24

Step-by-step explanation:

Let

x ----> amount received by the first person

y ----> amount received by the second person

z ----> amount received by the third person

we know that

$x+y+z=48$ ----> equation A

$x:y:z=3:2:1$

so

$\frac{x}{y}=\frac{3}{2}$

$x=1.5y$ ----> equation B

$\frac{y}{z}=\frac{2}{1}$

$z=0.5y$ ----> equation C

substitute equation B and equation C in equation A

$1.5y+y+0.5y=48$

solve for y

$3y=48\\y=\$16$

Find the value of x

$x=1.5(16)=\$24$

Find the value of z

$z=0.5(16)=\$8$

therefore

The person who receives the most will get $24

7 0

3 years ago

Read 2 more answers

Find the difference between -14w - 3 and 5w.

kirza4 [7]

(-14w) - (-3) - (-5w) equals
-9w + 3

or if what you're saying is
-14w - 3 - 5w it equals
-19w - 3

or if what youre saying is
(-14w - 3) - 5w it equals
-19w - 3

8 0

3 years ago

Read 2 more answers

Find the slope of the line that goes through the given points (8,5) (6,7)

vazorg [7]

To find the slope of a line that goes through given points with known coordinates, you divide the subtraction of the y of the second point minus the y of the first point, by the subtraction of the x of the second point minus the x of the first point:
m = (yB-yA) / (xB-xA)

Let A(8,5) and B(6,7).
With yB = 7; yA = 5; xB = 6; xA = 8
m = (7-5) / (6-8)
m = 2/-2
m = -1

So the slope of the line that goes through the given points (8,5) and (6,7) is m = -1.

I've added a pic of the line with both points under the answer.

Hope this Helps! :)

4 0

2 years ago

I need help solving this problem.

madam [21]

(f+g-k)(x) means to add the equations f(x) and g(x) then subtract k(x)

2x^2 + 3x + 4x - 9 = 2x^2 +7x -9

2x^2 + 7x - 9 - x^2 -7x = x^2 -9

The answer is : x^2 - 9

6 0

3 years ago

Read 2 more answers

Y=(x^2+2x)/(x+2) if x=2. Find x^2​

Y=(x^2+2x)/(x+2) if x=2. Find x^2