All categories

3 years ago

Solve the system y=2x-13 and y=x²-6x+3.Illustrate graphically.

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

3 0

Answer:

Solution: (4,-5)

Step-by-step explanation:

Given: system of equation, y=2x-13 and y=x²-6x+3

using substitution method,

substitute y=2x-13 into y=x²-6x+3

$2x-13=x^2-6x+3$

$x^2-6x-2x+3+13=0$

$x^2-8x+16=0$

$(x-4)(x-4)=0$

$x=4,4$

Put x=4 into y=2x-13

y = 2(4) - 13

y = 8-13

y = -5

Solution: (4,-5)

Now check by graphically. Please find attachment for graph.

You might be interested in

Find the values of x and y in the figure below. Enter the answers as numbers.

ella [17]

Answer: $x=79^{\circ}\ and\ y=101^{\circ}$

Step-by-step explanation:

In the given picture, a parallelogram PQRS is given with angle 101°.

In a parallelogram opposite angles are equal.

Since, y is opposite to 101°.

Therefore y=101°

Also, the sum of the adjacent angles of a parallelogram is 180°

$\\\Rightarrow\ x+101^{\circ}=180^{\circ}\\\Rightarrow\ x=180^{\circ}-101^{\circ}\\\Rightarrow\ x=79^{\circ}$

8 0

4 years ago

3/5-x/9=2/15-2x/45 can someone help I don’t understand

saveliy_v [14]

Isolate the variable by dividing each side by factors that don't contain the variable.
x
=
7

4 0

3 years ago

Consider the equation y = -2x + 5. Create a table of five ordered pairs that satisfy the equation. What is the y-intercept of th

Tatiana [17]

Answer: option d.

Step-by-step explanation:

To create a table of five ordered pairs that satisfy the equation, you need to give values to the variable "x" and substitute these into the function to find the corresponding value of "y":

For $x=-2$

$y = -2(-2) + 5=9$

For $x=-1$

$y = -2(-1) + 5=7$

For $x=0$

$y = -2(0) + 5=5$

For $x=1$

$y = -2(1) + 5=3$

For $x=2$

$y = -2(2) + 5=1$

Then, you can make the table:

x -2 -1 0 1 2

y 9 7 5 3 1

To find the x-intercept, substitute $y=0$ into the function and solve for "x". Then:

$0 = -2x + 5\\\\x=\frac{-5}{-2}\\\\x=\frac{5}2}$

This is: ( $\frac{5}{2}$ , 0)

To find the y-intercept, substitute $x=0$ into the function and solve for "y". Then:

$y= -2(0) + 5\\\\y=5$

This is: (0,5)

6 0

4 years ago

Read 2 more answers

A farmer wants to enclose a rectangular field that borders a river with 400 feet of fencing material. if the farmer does not fen

ICE Princess25 [194]

Let each side perpendicular to the river be "x".Then the side parallel to the river is "400-2x".
The formula for Area = width*length
A(x) = x(400-2x)
A(x) = 400x - 2x^2
You have a quadratic with a = -2 and b = 400
Maximum Area occurs where x = -b/2a = -400/(2*-2) = 100 ft. (width)
length = 400-2x = 400-2*100 = 200 ft (length)

3 0

3 years ago

Answers this and ill give brainliest

bogdanovich [222]

Answer:

Late fees have been said to encourage returns, thus putting library materials back into circulation for others to use

Step-by-step explanation:

5 0

3 years ago