Mathematics High School

Solve the simultaneous equations
y = 4x + 1
y = 2x^2+ 7x - 1

Answers

Answer 1

Answer:

[tex]Given,\\y = 4x+1......(1)\\y = 2x^2+7x-1.............(2)\\Equating~equation (1)~and~(2),\\4x+1 = 2x^{2} +7x-1\\or, 2x^{2}+7x-4x-1-1=0\\or, 2x^{2} + 3x-2=0\\or, 2x^{2} +4x-x-2=0\\or, 2x(x+2)-1(x+2)=0\\or, (x+2)(2x-1)=0\\i.e. x=-2 ~or~ \frac{1}{2} \\When~x=2,~equation(1)~becomes ~y=4(-2) +1=-7\\When~x=-\frac{1}{2},~equation (1)~becomes~y=4(\frac{1}{2}) +1 = 2+1=3[/tex]

So, the required values of x are -2 and 1/2 and that of y are -7 and 3.

Related Questions

Which measurement is shorter?
800 centimeters
9 meters

Answers

Answer:

800cm.

Step-by-step explanation: 800cm is equal to 8 meters.

Answer:

800 centimeters is shorter.

Step-by-step explanation:

how do you figure out what the y=mx+b of a equation

Answers

Answer:

y is your answer

m is your rise/run

x is there for x

and b is your negative or positive y-intercept

Step-by-step explanation:

It’s Y hopefully this helps you!!

3x2 · 2x5 whats the answer please twenty five points to show work

Answers

Answer:

60

Step-by-step explanation:

3x2=6

2x5=10

6x10=60

????

can someone please help me? it would mean so much to me. thanks a lot!

Answers

Answer:

Maybe  -3

Step-by-step explanation:

I am not 100% sure but it is better than nothing,

since 3+3=6 I think after 3 is 6, and after 6 is 9. I think that because the more right the line goes you add  3 to every move. So therefore, 3-3=0, and 0-3= -3

Hope this helps. Also, I hope I gave you the correct answer.

andrew sold $50 less than sarah did and evan sold $25 more than Sarah. these quantities can be communicated symbolically. if x= the amount that sarah sold, which of these represents the amount sold by the other two people?

A. andrew=50-x, Evan= x+25
B. Andrew=x-50, Evan=x+25
C. andrew=x-50, evan=25x
D. andrew=50-x, evan=25x​

Answers

The answer is I think b because it has x-50 and it said Andrew sold less that Sarah so its subtracting

Ben wants to buy a guitar. The regular price of the guitar is $329.99. The sale price of the guitar is 25% off of the regular price. What is the sale price of the guitar?

Answers

$247.49 because 329.99 minus 25 percent gives that amount

what is this 2x-5+22=?

Answers

Answer: 2x+17

Step-by-step explanation: add -5 and 22

Answer:[tex]\boxed{\boxed{\sf{2x+17}}}[/tex]Solution Steps:

______________________________

1.) Add −5 and 22:[tex]-5+22=17[/tex]

 - You could also solve this by  flipping the numbers around and subtracting 22 - 5, Which still gives you 17.

So your answer is [tex]\bold{(2x+17)}[/tex].

______________________________

I need help with this​

Answers

Answer:

= Multiply 8 and 7

= Add 56 and 6

= Write 62 with a denominator of 7

Step-by-step explanation:

Which of the following is the least

Answers

Answer:

-512 is the least number

-512 is the least


right answer

6.6+1.3x-5.2x(less than or equal to) 14.4 plssss help omg
​

Answers

So here is the answer and the steps:

Tonka weighs 100 pounds. He is loading a freight elevator with
identical 50 pound boxes. The elevator can carry no more than
2000 pounds. How many boxes can Tonka load onto the elevator?
50x + 100 = 2000
O 50x - 100 = 2000
100x + 50 = 2000
100x - 50 = 2000

Answers

38 boxes

Step-by-step explanation:

Find value of x. Leave in simplest radical form ​

Answers

Answer:

blah blah blah blah

Step-by-step explanation:

karma :)

Answer:

[tex]x = 6[/tex]

Step-by-step explanation:

[tex] \sin(45) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(45) = \frac{3 \sqrt{2} }{x} [/tex]

[tex](x) \sin(45) = \frac{3 \sqrt{2} }{x} (x)[/tex]

[tex](x) \sin(45) = 3 \sqrt{2} [/tex]

[tex] \frac{(x) \sin(45) }{ \sin(45) } = \frac{3 \sqrt{2} }{ \sin(45) } [/tex]

[tex]x = \frac{3 \sqrt{2} }{ \sin(45) } [/tex]

[tex]x = 6[/tex]

what is (4x - 4) + (2x + 2)? (no direct answer.)​

Answers

Answer:

6x -2

Step-by-step explanation:

(4x - 4) + (2x + 2)

4x + 2x = 6x

-4 + 2 = 2

6x - 2

Describe how each graph is obtained from the graph of y= f(x).

(a) y = f(x – 2)

Can somebody help telling what does it mean? what does it want us to do? ​

Answers

Answer:

see explanation

Step-by-step explanation:

Give the graph of y = f(x) then y = f(x + a) represents a horizontal translation of y = f(x)

• If x > 0 then a shift to the left of a units

• If x < 0 then a shift to the right of a units

Thus

y = f(x - 2) is the graph of y = f(x) translated 2 units right

Which sequence of transformations on preimage ∆ABC will NOT produce the image ∆A'B'C'?



A.
reflection across the line y = -x followed by a rotation 180° counterclockwise about the origin
B.
reflection across the y-axis followed by a rotation 90° clockwise about the origin
C.
reflection across the line y = x
D.
rotation 180° clockwise about the origin followed by a reflection across the line y = -x
E.
reflection across the x-axis followed by a reflection across the y-axis

Answers

Answer:

a

Step-by-step explanation:

What’s the slope of (9,6)
(1,4)

Answers

y= (1, 4) times x + (15, 4)

The Answer is:

8/2=4

you can draw a graph but you can just do (9-1)/(6-4) which equals to 8/4 which can be 4

A bake sale has 5 brownies for sale. Each brownie was cut into 4 slices. Each slice was sold for $7. What was the total amount earned for the sale of all the brownies?

Answers

Answer:

140

Step-by-step explanation:

5 times 4 is 20 which is the amount of browiners 20 times 7 is 140

Answer:

140$

Step-by-step explanation:

muliplication

4x5=20

20x7=140

In a pack of candies, Maria found that for every three blue candies, there were five red ones. Identify the correct list of ratios that compares the red candies to the blue ones.

Answers

Answer:

5/3; 5 to 3; 5:3

Step-by-step explanation:

Answer:

5/3; 5 to 3; 5:3

Step-by-step explanation:

What number is missing in this sequence? 1, 2, 4, 7, 11, ___, 22

Answers

Answer:

16

Step-by-step explanation:

Find the slope of the line from a graph. Will give brainliest!!!

Answers

Answer:

2/1 or 2

Step-by-step explanation:

to find the slope you have to calculate the rise over run, do this by picking two spots on the line that go thourgh the corner of a square. then count the amount up the is your rise then the lateral movement, the is your run.

this means the answer is 2/1 that can be simplified to 2.

HELP ASAP PLEASE.


What are the coordinates of point A?

A. (2, 4)
B. ) (1.7, 3.8)

C. (6.6, 1.7)

D. (3.8, 1.7)

Answers

the answer is B (1.7,3.8)

Answer:

B.

Step-by-step explanation:

Point A is found at (1.7, 3.8)

Which represents the decimal 0.071
A. 71 tenths
B. 71 hundredths
C. 71 thousandths
D. 71 Ten thousandths

Answers

Answer:

c 71 thousandths

Step-by-step explanation:

what is the slope of this equation, v=3x+60

Answers

The slope is 3.

In y=mx+b, the number before x (or m) is the slope.

Answer:

slope=3

Step-by-step explanation:

what's the opposite of -4

Answers

Answer:

4

Step-by-step explanation:

It's a opposite of -4 so the opposite would be 4

Answer:

4

Step-by-step explanation:

The opposite of -4 is 4

In addition

The absolute value of -4 is also 4

Therefore, the answer is 4.

answer my other question hshkdhrjklw

Answers

Answer:

hfhedcvgfhsla

Step-by-step explanation:

al you have to do is laugh

Answer:

Cual es tu otra pregunta?

Step-by-step explanation:

Complete the following table for the equation y = 2x + 5

Table: 0. 1. 2. 5. 7.

Pls help im in the middle of a test

Answers

Answer:

0 is 5

1 is 7

2 is 9

5 is 15

7 is 19

find the scale factor

Answers

2 because the one side doubled and what happens to 1 side happens to them all, so 2

Answer:

2 is ur answer.

hope it helps you.

What is the y-intercept of the line?
110
A
2
B
3
000
-7
-6
D

Answers

the correct answer is 3

A pizza shop can put together 4 pizzas in 12 minutes. What is their production rate in pizzas per hour?

Answers

i’m sure it’s 20 if not i’m sorry

Answer:

I think it'd be 20 pizzas an hour

Step-by-step explanation:

Evaluate each expression if a = 6, b=3, and c=2.

1. 6+c
2. a-b
3. 2 c
4. a-1
5. c+4
6. a/b
7. b÷3
8. ab

choices:
8
5
18
1
6
4
3
2

Answers

1. 8
2. 3
3. 6
4. 5
5. 6
6. 2
7. 1
8. 18
1. 8
2. 3
3. 4
4. 5
5. 6
6. 2
7. 1
8. 18
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