pls this is a simultaneous equation- one linear one quadratic a-2b =2 -------- (1). a²+b²+2a -3b =19 --------(2). pls I need it urgently thanks​

Answers

Answer 1

Answer:

Hence a = 3.66 and -3.628

b = 0.834 and -2.634

Step-by-step explanation:

Given the equations

a-2b =2 -------- (1)

a²+b²+2a -3b =19 --------(2).

From 1;

a = 2 + 2b

Substitute into 2

(2+2b)²+b²+2a -3b =19

Expand

4 + 8b + 4b²+b²+2(2+2b)-3b = 19

4b²+b²+8b+4b+4+4-3b = 19

5b²+9b+8 = 19

5b²+9b-11 = 0

b = -9±√81+4(55)/2(5)

b= -9±√301/10

b = -9+17.34/10 and -9-17.34/10

b = 8.34/10 and -26.34/10

b = 0.834 and -2.634

Since a = 2+2b

a = 2+2(0.834)

a= 2 +1.668

a = 3.668

Also

a = 2+2(-2.634)

a = 2 - 5.628

a = -3.628

Hence a = 3.66 and -3.628

b = 0.834 and -2.634


Related Questions

One paperback book costs $7. How many books can be bought for $133?

Create an equation then solve it.

Answers

The answer would be 19 because 133 divided by 7=19
133/9

Hope this helps

Have a great day/night

write an equivalent expression for 55+15n.​

Answers

55+15n
Divide both by 5
11+3n

Answer:

5(11+3n)  

Step-by-step explanation:

divide the whole equation by 5

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

Just watch the video

Step-by-step explanation:

1. What percent of 200 is 0.5?

Answers

Answer:

Step-by-step explanation:

My guess is % 1/400

Answer:

0.5 is 0.25% of 200.

Step-by-step explanation:

1 is 1/200 of 200.

Therefore, 0.5 is 1/400 of 200.

1/400 = 0.0025 = 0.25/100

Therefore, 0.5 is 0.25% of 200.

Yun Sil added twice as many new songs on her MP3 player as Matt, who added 5 more new songs on his MP3 player than Sierra. The sum of the

songs added on all three players is 15 more than the cube of the number of songs added on Sierra's player. About how many songs are on each

person's player?

Answers

Answer:

Sierra=2songs

Matt=7songs

Yun SIl=14songs

step-by-step explanation:

Step 1

Let,The number of songs YunSil added = x

Number of songs Matt added = y

And number of songs Sierra added = z

Such that Matt has 5more than Sierra =y = 5 +z

Yun SIl has 2 times more thann Matt, x = 2y

x =2(5+z)=10 +2z

Step 2

The expression used to determine number of songs on each player given that the total of songs added on the three players =15 +z^3

Such that

YunSil+Matt+Sierra==15 +z^3

10+2z+ 5+z +z = 15 +z^3

4z +15 = 15 +z^3

4z=15-15+z^3

4z=+z^3

4=z^3/z

4=z^2

Z=√4 =2

Therefore Sierra has z=2songs

Matt has 5+z=5+2=7songs

YunSil has 2(5+z)= 2x7=14songs

The song that are on each person player are as follows;

matt song = 7

Yung Sil song = 14

Sierra song = 2

Let

a = Matt song added

b = Yun Sil song

c = Sierra song =

Therefore,

b = 2a

a = c + 5

(c + 5 + 2a + c)  - c³ = 15

(2c + 2(c + 5) + 5) - c³ = 15

2c + 2c + 10 + 5 - c³ = 15

4c + 15 - c³ = 15

4c - c³ = 0

c³ = 4c

c² = 4

c = √4

c = 2

a = 2 + 5 = 7

b = 2(7) = 14

learn more : https://brainly.com/question/25654938?referrer=searchResults

Zeth has $32.12 in his change
jar on Monday after he went
out to eat on Sunday
afternoon. If on Sunday he
had $40.55, how much did
Zeth spend?

Answers

The answer is $8.43 for this question

Which system of inequalities does the graph represent? Which test point satisfies both of the inequalities in that system?



The graph represents the system of inequalities .
The test point satisfies both of the inequalities in the system represented by the graph.

Answers

Answer:

Ok so its -3;3

Step-by-step explanation:


A car is 160 inches long.
A truck is 7% longer than the car.
How long is the truck?
112 inches
171.2 inches
272 inches
167 inches

Answers

Answer:

Length of truck = 160 +7% of 160 = 160 +11.2 = 171.2inches

ae.
1) Which algae has a larger mass at 3 hours, in kilograms?
and
e е
A) The blue algae has 12 kg more mass at 3 hours.
B) The green algae has 12 kg more mass at 3 hours.
C) The blue algae has 36 kg more mass at 3 hours.
D) The green algae has 36 kg more mass at 3 hours.

Answers

Answer:

the blue green algae which is also the most success wishes one in the algae group for the elevator

What is the value of the
expression below if a = -4, b = 5?

Answers

Answer:

56

Step-by-step explanation:

2a^2b+5ab-4

substitute a & b:

2(-4)^2(5)+5(-4)(5)-4

2(16)(5)+5(-4)(5)-4

160-100-4=56

The answer should be 38
Sorry if it’s wrong

Cameron's hourly salary is $13. If Cameron
gets to work in the morning at 9 has lunch
from 12 to 1. and then works until 2. then hou
much did Cameron make that day?

Answers

I believe Cameron made 52 dollars

Answer: 52 dollars

Step-by-step explanation:

Cameron's hourly salary is 13, which means that for each hour she works, she earns 13 dollars.

If she words from 9 - 12, then that is 3 hours. Then she has a lunch break from 12 - 1, and then works again until 2. The time period between 1 and 2 o'clock is 1 hour.

Now we have to add up the total hours that Cameron works. If she worked 3 hours in the morning, and then 1 hour after lunch, then the total is 4 hours. Now we have to mutliply 4 by 13 to find her salary for that day.

4 x 13 = 52. Therefore, Cameron made 52 dollars that day.

What is the sale price of a bottle of olive oil originally priced at $6?

Answers

Answer: While there are plenty of quality options on the shelves that fall between the $15 and $30 range, “trendy” olive oils like Brightland and Fat Gold cost more, at $37 and $44.75, respectively. Some even have price tags in the three digits.

Step-by-step explanation:

PLS HELP WILL GIVE BRAINLIEST AND POINTS!! How many variable terms are in the expression 3x^3y + 5x^2 + y + 9?

Answers

Answer:

4 variables

Step-by-step explanation:

Hope you pass your test!

Macy makes 15 of 20 free throws at basketball practice. What is the experimental probability that she will miss her next free throw?

Answers

Step-by-step explanation:

she might lose 1/4 of the next free throws

Determine whether the relation is a function. Explain why or why not.


{(2, 5), (3, –5), (4, 5), (5, –5)}


A.
Yes; no value in the domain corresponds to more than one value of the range.


B.
No; the domain value 5 corresponds to two range values, 2 and 3.


C.
Yes; multiple domain values correspond to the same range value.

Answers

Answer:

A.  Yes; no value in the domain corresponds to more than one value of the range.

Step-by-step explanation:

There is no domain value that corresponds to more than one range value.

 

If you graph the ordered pairs on a coordinate plane, you cannot draw a vertical line that passes through more than one point.

Cindy is make a display for a project. She plans on 100 stickers that are 2 inch by 2 inch square on a poster board. The poster board she is using has a length of 3 feet and width of 2 feet. Does she have enough room for all her stickers

Answers

Answer:

YES

Step-by-step explanation:

the dimensions of the poster board has to be converted to inches to add comparability

1 feet = 12 inches

3 x 12 = 36 inches

width = 2 x 12 = 24 inches

Area = length x breadth

36 x 24 = 864 cm^2

area of sticker = 2 x 2 = 4cm^2

Number of stickers that can be put on the board = 864 / 4 = 216

216 is greater than 100. So the board has enough room for the stickers

What is a value of \sqrt(7) inches to the nearest hundredth?

Answers

Answer:

2.65

Step-by-step explanation:

Using a calculator's square root key, we get √7 = 2.64575....

To the nearest hundredth, that'd be √7 = 2.65.

Please help with this question (10 points)

Answers

Answer:

48 in.

Step-by-step explanation:

We know that the dimensions are 144 by 96.

144  = 96(quotient) + remainder,

144 = 96(1) + 48

Solution: side of largest square = 48

Can anyone help me please

Answers

Answer:

-4/9

Step-by-step explanation:

find two points that cross perfectly and take the ys and subtract and take the xs and subtract and then do y/x

Hope this helps :)

Suppose that y varies directly as the square root of
x, and that y = 16 when x = 4. Find x when
y = 24.

Answers

Answer:

x is 6

Step-by-step explanation:

x is 1/4 of y. so divide 24 by 4 and get 6

9/4 - 17/6= ?
Can someone please help me?​

Answers

Answer:

-0.58333333333

Step-by-step explanation:

Find the Least Common Multiple

     The left denominator is :       4

     The right denominator is :       6

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 1 2

3 0 1 1

Product of all

Prime Factors  4 6 12

Least Common Multiple:

    12

Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Denominator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 3

  Right_M = L.C.M / R_Deno = 2

Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction, multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      9 • 3

  ——————————————————  =   —————

        L.C.M              12  

  R. Mult. • R. Num.      17 • 2

  ——————————————————  =   ——————

        L.C.M               12  

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

9 • 3 - (17 • 2)      -7

—————— =   ——

       12                 12

[tex]\frac{-7}{12}[/tex] = -0.58333333333

I would really appreciate if someone would help me i don’t understand

Answers

Answer:

D. 48

Step-by-step explanation:

In the experiment, 16/40 landed exactly on heads. If you do 16/40 * 3/3 = 48/120.

This means that you can estimate 48 of the next 120 trials have 2 coins showing heads.

I need help with this probability question.

Answers

Answer:

20/total (u can calculate it)

Step-by-step explanation:

Number of dogs/Total number of pets

I only need help with 10​

Answers

Answer:

im pretty sure its a,e and i,d

Step-by-step explanation:

Julio bought 7 science fiction novels (s) and 7 comic books (c) from the bookstore. His purchases can be represented by the expression 7(s + c). Part A: Simplify the expression by using the distributive property. Part B: The cost of a science fiction novel is $5.99 and the cost of a comic book is $6.49. Sales tax is 6%. What is the total amount that Julio spent at the bookstore? Round your answer to the nearest cent. Show your work.

Answers

Answer: See explanation

Step-by-step explanation:

A. 7(s + c)

= 7s + 7c

B. The cost of a science fiction novel is $5.99 and the cost of a comic book is $6.49. Sales tax is 6%. The total amount that Julio spent at the bookstore would be calculated as:

= 7s + 7c

= 7($5.99) + 7($6.49)

= $41.93 + $45.43

= $87.36

We then add tax which will then be:

= $87.36 + (6% × $87.36)

= $87.36 + (0.06 × $87.36)

= $87.36 + $5.24

= $92.60

Lilian says that 25% of a number will always be less than 75% of any other number. Complete one inequality to support Lillian's claim and one to show that she is incorrect.

Answers

She is incorrect cause if we take the number 20 and take 25% of it it equals 5 so now 20 is only 15. They if we take 75% away from 20 is equals 15 so then we only have 5 from 20 left. Therefore she’s incorrect because 75% leaves 5/20 and 25% leaves 15/20. Hope that makes sense.

6.37x10^-2

Thanks to anyone who answers this.

Answers

Answer:

6.37 x 10^-2 =0.0637

The answer to your equation is, 6.37x10^-2=0.0637

f(x) = –27 + 9.23 + 3x is even, odd or neither.

Answers

Answer:

The function is neither odd nor even

Step-by-step explanation:

can you guys help me ?? would really appreciate it :)

Answers

Answer:

1.25 and if you round that its 1

Answer:

Not propotinoal

propotional

Step-by-step explanation:

Thats all i can give you

What is the value of x ?
7x– 5 = 4x - 14

Answers

Answer: X is equal to -3

Step-by-step explanation: I isolated x and then divided both sides by x

Other Questions
Find the sum of 0.5 and -0.5. What is 2/3 as a decimal please show steps on how you got there PLEASE HELP DUE SOON!!Using the financial data as appropriate, calculate the following ratios year ending (i) Net Profit margin (ii) Current ratio (iii) Gearing ratio (iv) Return on capital employed (v) Interest Cover ratio (vi) Gross Profit Margin what is the area of a rectangular field that has length of 2/3 of Mile and 3/4 of a mile If entering your answer as a decimal, round your final answer to the nearest hundredth.Find the perimeter of rectangle LINT. why is graphing scientific data important? Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the expression 12h+30w12h+30w12, h, plus, 30, w where hhh is the number of hours worked and www is the number of wagons sold.What is the amount paid to an employee that works 666 hours and sells 333 wagons?\$ Your friend and you flip a coin 300 times and got tails 237 times is this normal? Why or why not Mengapakah kita perlu tahu tentang rupa geometri dan rupa organik help? thanks :D have a good day Which structures should a student bond together to form two strandswhen building a DNA model? *A. RibosomesB. PhosphatesC. lysosomesD. Nucleotides How would you describe impulse in the simplest way possible A case of water contains 24 bottlesand a package of juice boxescontains 10 boxes. A school needsa total of 200 individual drinks foran picnic. If the school purchasedthree more juice box packagesthan cases of water, how manypackages of each type did theypurchase?--- Formulate the system of equations please Write an equation to solve for b: What is b? What macromolecules are a and b?answer choices:1) lipid2) carbohydrate3) protein What is the variable number in the equation 6=4+2s In what year was the Grand Canalfinished? Which statement best describes the condition of European workers at the end of the medieval period What is the y intercept of the line Which choices describe a step in the process of oil formation?Choose all correct answers.1. Most organic material is recycled by microorganisms.2. Organisms die and sink to the ocean floor.3. Heat and pressure changes dead remains.4. Layers of sediment cover dead remains.