how to solve the following system y=(1/2)x^2+2x-1 and 3x-y=1

Answers

Answer 1

Answer:

(0,-1),(2,5)

Step-by-step explanation:

3x-y=1

0.5[tex]x^{2}[/tex]+2x-1=y

Substitute the equation of y into the other equation

3x-(0.5[tex]x^{2}[/tex]+2x-1)=1

3x-0.5[tex]x^{2}[/tex]-2x+1=1

collect like terms

-0.5[tex]x^{2}[/tex]+x=0

Solve for x

x(-0.5x+1)=0

0=-0.5x+1

-1=-0.5x

x=2 x=0

Back substitute into the other original equation and solve for y

3(2)-y=1

6-y=1

y=5

(2,5)

3(0)-y=1

-1(-y)=-1(1)

y=-1

(0,-1)


Related Questions

i need help pleassseee!!?

Answers

Step-by-step explanation:

Set up a proportion:

26.5/x = 17/58

Cross multiply and you get:

17x = 1537

x = 90.4

So the measure of PQ is 90.4

Answer:

90.41

Step-by-step explanation:

you need to apple the thales's theorem

which is the comparison like this

ML=PQ JM= QN

Then you multiply in a crossed way like this

26.5 times 58= 1537

then you need to divide it by 17

1537/17= 90.41

can anyone help me plz

Answers

Answer:

x = 24

Step-by-step explanation:

x/4 + 10 =16

      -10    -10

x/4 = 6

*4     *4

x=24

hope this helps! :)

PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you

Answers

Answer:

9

Step-by-step explanation:

The equation for a slope is y=mx+b, b being the y-intercept. Then, you can plug in the equation given and have 9 as your answer.

Answer:

the y intercept is 0

Step-by-step explanation:

i used a slope to help me find the y-intercept

What are the parents points for the equation f(x) = 3^x?

Answers

Answer:

(0, 1) and (1, 2)

Step-by-step explanation:

[tex]{ \rm{f(x) = {3}^{x} }}[/tex]

• Assume f(x) is one

[tex]{ \rm{ {3}^{x} = 1}}[/tex]

• Apply logarithms:

[tex]{ \rm{x log(3) = log(1) }} \\ \\ { \rm{x = 0 }}[/tex]

• Assume f(x) is 2

[tex]{ \rm{x = \frac{ log(2) }{ log(3) } }} \\ \\ { \rm{x = 1}}[/tex]

Which of the following gives and example of an equation that is non-linear?
A y=2x+1
B y=15/x
C y=10x
D y=x/5

Answers

The answer is A. y=2x+1

A is the only equation in which the numbers are not naturally written,but there is another numbering being either taken or added to the situation (+1). B and D both are divided which is linear, and C is multiplying which is also linear. This only leaves us with A.

Hope this helps. & don't forget to drink water <3

What are the coordinates of the image Triangle ABC reflection over the line y=x ( please help!!)

Answers

Answer:

A (2,-1)

B (-3,-2)

C (-2,1)

Step-by-step explanation:

A (-2,-1), B (3, - 2), and C (2,1)

Image of triangle ABC reflexión over the y: opposite of the x-coordinates. The y coordinates stay the same.

A’ (2,-1), B’ (-3, -2), and C’ (-2,1)

If the cost of 6 sandwiches and 4 drinks is $53 how much is one drink

Answers

Answer: The cost of one drink is $5.30.

Explanation: 6 + 4 = 10, and 53/10 = 5.3, therefore the cost of one drink is $5.30.

Answer:

$5.30

Step-by-step explanation:

6 + 4 = 10

53 / 10 = 5.3

:)

How to derive Universal Law of Gravitation ?​

Answers

Answer:

These are the answers

Step-by-step explanation:

The orbit of a planet is an ellipse, with the Sun at one of the two foci.

A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.

The square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit.

Hope it helped !

Answer:

The universal law of gravitation states that every particle attracts every other particle in the universe with a force that is directly proportional to the ...

Bernoulli formula: define focal length

Si unit of thrust: newton's third law of motion examples

Find 3 other points for this equation ( please help!! ) not bots.

Answers

Answer:

(0,6), (1,7), (2,8)

Step-by-step explanation:

Match the name of the individual to a description of his
accomplishment.

___________oil production

___________steel
manufacturing

___________mechanized
production of clothing

___________expanded
industrialization to
continental Europe

A. William
Cockerill

B. Andrew
Carnegie

C. John D.
Rockefeller

D. Francis Cabot
Lowell

Answer:

Answers

Answer:

oil production: John d Rockefeller

steel manufacturing: Andrew Carnegie

Clothing: william cockerill

industrializatuon expansion: Frances Cabot Lowell

Step-by-step explanation:

Write a compound inequality that the graph could represent.

Answers

Answer:

k < -4 or k > 13

Step-by-step explanation:

Let's take a look at the graph, we can see that the arrows point towards both directions, both dots are open, meaning that we can only have < and > signs. We can see that the arrow pointing to the left contains numbers that are less than -4, so that part of the compound inequality must be k < -4. And on the other side, they are numbers that are greater than 13, so that part must be k > 13. Thus, the answer must be d.

Hopes this helps.

what is the area of a hexagon inscribed in a circle with a diameter of 8

Answers

Answer:

the side = the radius for a hexagon.

so, area = 6 times the area of one equilateral triangle of side 4.

the triangle has a right angle at the middle letter.
In AABC, Ĉ = 40°, BC = 4 cm. Find AB.

Answers

Tan 40 degree= opposite (ab)/adjacent (4)
.839=ab/4
Ab=3.36cm

Which expression is equivalent to 440d2 - 176d?

Answers

Answer:

expression equivalent is = 88d(5d-2)

G=4ba
Solve for A
Pls

Answers

Answer:

a=g/4b

Step-by-step explanation:

g=4ba

g/4b=a

a=g/4b

Mr. Cooper determined functions to represent his distance traveled in miles, d, in terms of the number of hours, 1, of driving on two types of
highways. He found that on a state highway the function was d = 45t, and on a U.S. highway, the function was d = 601.
If Mr. Cooper drove for 1.5 hours on each type of highway, how much farther did he drive on the U.S. highway than on the state highway?
Enter the answer in the box.

Answers

Answer:

105t1

Step-by-step explanation:

por qué los sumas te da

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

y = 5/6 x

Step-by-step explanation:

rise/run = slope

rise = 5

run = 6

so, 5/6 = slope

. What is the fraction form of $0.25?

Answers

Answer:

1/4

Step-by-step explanation:

Since 0.25 is 1/4 of 1


Find the distance between (-4,-8) and (-4,0).


Answers

Answer:

[tex]\huge\boxed{\sf |AB| = 8\ units}[/tex]

Step-by-step explanation:

Given the two co-ordinates:

A(x1,y1) = (-4,-8)

B(x2,y2) = (-4,0)

Putting them in the distance formula:

[tex]|AB| = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\|AB| = \sqrt{(-4-(-4))^2+(0-(-8))^2} \\\\|AB| = \sqrt{(-4+4)^2+(0+8)^2} \\\\|AB| = \sqrt{8^2} \\\\|AB| = 8\ units\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

You are given three cards. One card has the number 1 on it, another card has. 2, and the last card has the number 3 on it. Use two cards to make a fraction. What is the largest fraction that you can make?

Answers

Answer:

2/3

Step-by-step explanation:

I hope it's the answer. if it isn't tell me so that I can try it again bye.

Please find the surface area of the
Prism... I will mark you brainliest

Answers

Answer:

The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.

Step-by-step explanation:

Hope it's help

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 50, 0, negative 6, negative 4, negative 6, 0. Use the table to complete the statements. The x-intercepts shown in the table are and. The y-intercept shown in the table is.

Answers

Answer:

Use the table to complete the statements.

The x-intercepts shown in the table are  

(–2, 0)

and  

(2, 0

.

The y-intercept shown in the table is  

(0, –4)

.

Step-by-step explanation:

Hi, I have a question it is kinda hard but I think i got it, if it's wrong plz tell mee

Solve for X

5-x+6=4

X=3

Answers

5-x + 6 = 4

Combine like terms:

11-x = 4

Subtract 11 from both sides

-x = -7

Divide both sides by -1

X = 7

Answer: x = 7

Question:-

Solve for X

5-x+6=4

Answer:-

x = 7

Explanation:-

=> 5-x + 6 = 4

=> (5+6)-x = 4

=> 11-x = 4

(subtract both the sides by 11)

=> -x = -7

(divide both the sides by -1)

=> x = 7

I NEED HELP PLZZ, can someone help me out w/ this question plz?

Answers

Answer:

both of them are correct !

-1/1 = 0

and -1+1 = 0, and 0/-1 equals 0

Step-by-step explanation:

Write the equation of the line that has slope 1 half and passes through (4, -1).

Answers

Answer:

-1 = 1/2*4 + -3 / -1 = 1/2*4 - 3 for slope intercept equations

y + 1 = 1/2(x - 4) for point slope equations

Step-by-step explanation:

Slope intercept formula is y = mx  + b where y is the y point, x is the x point on the graph, m is the slope and b is y intercept. For this we know the slope, the x and the y axis. Now all we need to find is the y intercept, for this we would have have to multiply the x axis by the slope and then find the number to complete the equation in this case its 1/2 (slope) and 4 (x axis),

-1 = 2 + b

for this we'd subtract -2 to both sides

-1 -2 = +2 - 2 + b

Which then we'd get,

-3 = b

So our Y intercept is -3

To complete the equation we'd finish it with putting everything together,

-1 = 1/2*4 + -3 or -1 =1/2*4 -3

If it were a point slope equation (y - y₁ = m(x - x₁)) we have the y₁, x₁ and the slope value 1/2, so we have all we need to fill in the point slope equation and here it is,

y + 1 = 1/2(x - 4)

Hope this helps!

Evaluate the following
expression using x = 5:
3(3x + 5)

Answers

[tex] \huge\color{skyblue}\boxed{\colorbox{black}{Answer ☘}}[/tex]

Let's substitute x with 5 to find the value of given expression ~

[tex] \sf3[(3 \times 5) + 5][/tex]

[tex] \sf3(15 + 5)[/tex]

[tex] \sf3(20)[/tex]

[tex] \sf60[/tex]

The value of the expression is 60.

What is the value of the expression?

According to the BODMAS rule, when there is a mathematical expression with a bracket, the terms in the bracket should be solved first. So the value of the expression in the bracket would be solved first.

(3(5) + 5)

(15 + 5)

= 20

The second step is to multiply 20 by 3.

20 x 3 = 60

To learn more about multiplication, please check: https://brainly.com/question/3385014

Need help ASAP!!!!!!​

Answers

Answer:

graph b

Step-by-step explanation:

What type of number is ?
Choose all answers that apply:
A
Whole number
00
B
Integer
С
Rational
D
Irrational

Answers

Answer:

Irrational Number

Step-by-step explanation:

Mark as brainliest if correct

I want quick plsssss​

Answers

[tex]3 \times \frac{1}{2} \\ \\ = \frac{5}{2} [/tex]

Solve for “x.”
9x = 912.6

Answers

Answer:

If it's not what You are looking for type in the equation solver your own ... is 12 percent of 912.6 - step by step solution || 2x-9=2x-9 || 2(x-3)=4(x+2) ...

Step-by-step explanation:

sorry if im wrong

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