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

PPPLEEASSSEREE
Add. What is the sum (2 x 10") + (7 x 101 ) in scientific notation?

Answers

Answer:

Simplify the expression? Is it:   2 x 10 '' + 707 x   ....?

- Question 11
Mrs. Pitoya has 30 apples and is buying more apples in crates containing 20 apples each. She needs 130 apples for a harvest celebration at her school,
Which equation and solution correctly represent x, the number of crates of apples Mrs. Pitoya needs to buy?

Answers

Answer:

Mrs pitoya has to buy 9 crates of apples

Answer: She only needs to buy 5 more crates of apples.

30 + 20(x) = 130

30-30+20(x)=130-30

20x = 100

x = 5

Step-by-step explanation:

Question 2
Find the slope given the points:
(0, -2) and (1,1)

Answers

Answer:

Step-by-step explanation:

Slope=(y-y)/(x-x)=3/1=3

The ratio of men to women in a
community chorus is 4/5 There are 60
men in the chorus. How many women are
in the chorus?

Answers

Answer:

125 women

Step-by-step explanation:

Answer: 75 women

Step-by-step explanation:

4/5

60/4=15

15x5= 75

4. The band at Jason's high school had a concert for charity. They raised $15000. Adult tickets were $5 each and student tickets were $3 each. The members of the band sold a total of 4000 tickets. Which of the following systems of equations can be used to determine how many adult, x, and student tickets, y. they sold? A. x + y = 4000 5x + 3y = 15000 C. x - y = 4000 5x - 3y = 15000 B. x + y = 15000 5x + 3y = 4000 D. 5x + 3y = 4000 3x + 5y = 15000 03 PO P MINE W 1 NY 19 C​

Answers

Answer:

A. x + y = 4000

   5x + 3y = 15000

Step-by-step explanation:

Total amount raised = $15000

cost of adult tickets = $5

cost of student tickets = $3

Total number of tickets sold = 4000

number of adult tickets sold = x

number of student tickets sold = y

Then we can say,

total number of ticket sold = number of adult tickets + number of student tickets

4000 = x + y

⇒ x + y = 4000 ............. 1

Also,

5x + 3y - 15000 ............. 2

the equations required are:

x + y = 4000

5x + 3y - 15000

4.7x4.7x4.7 thats about it

Answers

Answer:

103.823

Step-by-step explanation:

It's just 4.7 to the third power, so I multiplied to get 103.823. :)

5.25 divided by 3
Thank You.

Answers

Answer:

1.75

Step-by-step explanation:

1.75 :) you can check your answer by multiplying by 3!

Brainliest would be appreciated

Jim said that the terms in an arithmetic sequence must always increase, because you must add the common difference to each term to get the next term. Is Jim correct? Justify your reasoning

Answers

Answer:

i need points

Step-by-step explanation:

Find the median of the data in the box plot
below.
cookies
Number of cookies eaten
by each contestant
H
HHH
HHHH
2 4 6 8 10 12 14 16 18 20 22 24 26 2830

Answers

Please show a picture so I can help.

Answer:8

Step-by-step explanation:

Khan academy answer

5 divided by 7/8 as a fraction
Pls help 44 points

Answers

Answer:

5.714 (rounded to the nearest thousandth)

Step-by-step explanation:

please help me will mark brainliest

Answers

Answer:

What do you need help with

Step-by-step explanation:


What is the common ratio of 9, 81, 729. -6561

Answers

Given:

Consider the given sequence is 9, 81, 729, 6561.

To find:

The common ratio.

Solution:

We have,

9, 81, 729, 6561

Here,

First term = 9

Second term = 81

Divide the second term by first term to get the common ratio.

[tex]r=\dfrac{81}{9}[/tex]

[tex]r=9[/tex]

Similarly,

[tex]\dfrac{81}{9}=\dfrac{729}{81}=\dfrac{6561}{729}=9=r[/tex]

Therefore, the common ratio is 9.

Find the lateral area of the regular pyramid.

L. A. =

Answers

Answer:

I think 32 inches 2.

But I am not 100% sure.

please help i’ll give brainlyist this is due in 10 minutes

Answers

Answer:

hi :)

Step-by-step explanation:

0 yrs is 350 or 500 im not sure but, and then 6 yrs is 1350 $

3. *
2 points
Jessica bought seven boxes. A week later
half of all her boxes were lost during a
move. There are now only 13 boxes left.
With how many did she start?

Answers

Answer:

19 boxes

Step-by-step explanation:

Karen spent $17.59 on supplies that she is going to use to make jewelry. How much would she spend if her money was rounded to the nearest dollar? Remember, this is a money problem. Don't forget to use the proper symbols.

Answers

Answer:

$18.00

Step-by-step explanation:

Answer: 18$

Step-by-step explanation:

17.59 is the current amount if you round to the nearest dollar the .5 will make the 7 go up in value meaning it will turn into a 8

Hellppppppp meeeee ASAP
First gets brainly

Answers

I'm not going to do all of them for you but I'm basically going to teach you what your teacher taught you.

In division with fractions, the second fraction will be flipped around and then you'll multiply normally.

Example:

(5/3)/(2/3)

You would flip around the 2/3 so it would be 3/2

Then you would multiply:

5/3*3/2

To do multiplication, multiply the top numerator by the top numerator and the bottom numerator by the bottom numerator as I'm sure you've already learned

5*3 = 15

3*2 = 6

15/6

Let me know if you have any questions

If you're wondering why I didn't give you the answer, it's because "Give a man a fish and he'll eat for a day; teach a man to fish and he will eat for a lifetime"

Thank you


There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is
6 over 7 as a fraction.
There are 30 red marbles in the bag and each is equally likely to be chosen.
Work out how many marbles in total there must be.

Answers

65 marbles...............

PLEASE ANSWER ASAP !!!!!

Answers

Answer:

5

Step-by-step explanation:

It is asking the y-intercept of the x- intercept, 0.

find the slope of the line y = 1/6x + 3/2

Answers

Answer: 1/6

Step-by-step explanation:

Slope is the m in y=mx+b

The slope is 1/6 (one sixth)

Can someone tell me a good definition for “Annuity” please?

Answers

Answer:

an annuity is a type of retirement income product that you buy with some or all of your pension pot. it pays a regular retirement income either for life or for a set period. (hope this is a decent answer lol)

Step-by-step explanation:

Answer:

An annuity is a contract between you and an insurance company in which you make a lump-sum payment or series of payments and, in return, receive regular disbursements, beginning either immediately or at some point in the future.

Step-by-step explanation:

What is the perimeter of the regular heptagon below?

Answers

Answer:15.65

Step-by-step explanation:

9,-81, 729,-6561...
What is the common ratio?
Help which is the correct answer?

Answers

Answer:

[tex]r = -9[/tex]

Step-by-step explanation:

Given

[tex]Sequence: 9,-81, 729,-6561...[/tex]

Required

Determine the common ratio

The common ratio r is calculated using:

[tex]r = \frac{T_n}{T_{n-1}}[/tex]

Let [tex]n = 2[/tex]

So, we have:

[tex]r = \frac{T_2}{T_{2-1}}[/tex]

[tex]r = \frac{T_2}{T_1}[/tex]

From the sequence:

[tex]T_2 = -81[/tex]

[tex]T_1=9[/tex]

So, the equation becomes

[tex]r = \frac{-81}{9}[/tex]

[tex]r = -9[/tex]

WILL MARK BRAINLIEST!

Given ΔABC : ΔDEF, find x.

10
14
27
12

Answers

Answer:

x=12

Step-by-step explanation:

If the triangles are similar:

x/8=18/12

x/8=1.5

x=12

Answer:

12.

Step-by-step explanation:

Which of the following demonstrates the distributive property?
a) 3+ 5 = 5 + 3
b) 6+ (-6) = 0
c) (3x + 8) + 6 = 3x + (8 + 6)
d) -(x-3) = -x + 3

Answers

Answer:

c one demonstrates the distributive property

What is the side length of a square with the area of 20cm2

Answers

Answer:

S = a² => 20 = a² => a = √20 ≈ 4.5 cm

Step-by-step explanation:

Which expression below is equivalent to -3x + 5(x+2)?a. 2x + 10
b. -8x + 10
c. 2x + 2
d. -x+2

Answers

The correct answer would be A. 2x + 10. :)

Explanation:
-3x + 5(x + 2)
-3x + 5x + 10
2x + 10

Twenty people attended a going away party for Zach.The guest left in groups of 2.By 9:00,x groups had left.Rewrite the number of guests remaining at 9:00 as a sum.

Answers

Answer:

The number of guests remaining at 9:00 is;

(20-2x)

Step-by-step explanation:

From the question, we are told that x groups have left

Since they are leaving in groups of 2, x groups means a total of x * 2 = 2x

So we have 2x left out of a total 20; the people remaining at the party will be;

20-2x

im not sure of my answer i need help please!!

Answers

Answer:

C. y = -2/3x + 4

Step-by-step explanation:

y = mx + b

y-intercept of positive 4 on the y axis

m is the slope which is down 4 right 6 which reduces to -2/3

Classify the quadrilateral then find the values of the variable (s) PLS HELPPP

Answers

Answer:

x = 58°, y = 32°

Step-by-step explanation:

all sides are equal, hence it is a rhombus.

in a rhombus, diagonals meet at 90degree..

hence in triangle,

58 + 90 + z = 180 (asp of a triangle.)

z = 32

y = z ( alternate interior angles as lines are parallel in rhombus)

y = 32

in the bigger triangle,

angles opposite to equal sides are equal, hence,

32 + 32 + (58 + x) = 180 ( angle sum property of a triangle,)

hence, x = 58

therefore,

x = 58°, y = 32°

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