simultaneous equations
x^2+3xy=10
x=2y

Answers

Answer 1

9514 1404 393

Answer:

  (x, y) = (-2, -1) or (2, 1)

Step-by-step explanation:

Substitute for x in the first equation:

  (2y)^2 +3(2y)y = 10

  10y^2 = 10

  y^2 = 1

  y = ±1

  x = 2y = ±2

Solutions are (x, y) = (-2, -1) or (2, 1).

Simultaneous Equationsx^2+3xy=10x=2y

Related Questions

which one is a function

Answers

Answer:

I didn't know if you meant which one is a function, and which one isn't so I just went with what the picture said:

A) is not a function  

Answer:

i get D, sorry if not i did it 3 times and i got D

The temperature was 4 degrees below zero at 9 AM, By 6 PM, the
temperature had risen 24 degrees. What was the temperature at 6 P.M.?

Answers

I’m pretty sure it’s 16

ehelp help help help help

Answers

Answer:

The ratio of red to green crayons is 18 to 24 which can be reduced to 3 to 4.

Step-by-step explanation:

What is the value of “y” in y = -3x if the value of ‘x’ is 2?

Answers

Answer:y=-6

Step-by-step explanation:

-3(2)

Half of the difference of 3 and 1

Answers

Answer: 1

Step-by-step explanation:

1 or -1.
Hope this helps

Devon records 4 hours of reality shows on her DVR. She records comedy shows for ⅜ of that amount of time. Devon watches all the reality and comedy shows in half-hour sittings.

Answers

Answer:

1 1/2 hours = 90 minutes

Step-by-step explanation:

Devon records 4 hours of reality shows on her dvr she records comedy shows 3/8 of that amount of time. Devon watches all the reality and comedy shows in half hour sittings. Find the number of hours of comedy shows that Devon records

Total hours of reality show = 4

Comedy shows = 3/8 of 4 hours

Number of hours of comedy shows that Devon records = 3/8 of 4 hours

= 3/8 × 4

= 12 / 8

= 1 4/8

= 1 1/2

Number of hours of comedy shows that Devon records = 1 1/2 hours

There are 60 minutes in an hour

1 1/2 hours = 1 1/2 × 60 minutes

= 3/2 × 60

= 180 / 2

= 90 minutes

Therefore,

1 1/2 hours = 90 minutes

I'm giving branliest 2X - 3y = 12 in a standard and point slope form ​

Answers

In slope intercept form it is y=2/3x-4
In point slope form it is 2/3x-y-4 :)

Pls help me ill give brainlyest to first correct answer! pls and thank u!

Answers

Answer:

1 1/6

Step-by-step explanation:

the answer is 1 1/6

Answer:

for the first one, it is c. the second one is b

Step-by-step explanation:

Please help me out with those questions...

Answers

Answer:

D

Step-by-step explanation:

Which of the following would result in a rational number? **

Answers

Answer:

The answer is A. A+C because Rational numbers can be made by dividing two integers. integers are whole numbers a number that is not a fraction.

What Number is this 1 x 1010^100

Answers

Answer:

2.704814e+300

is what I got

The value of the given number 1 x 10¹⁰⁰ by applying the logarithms is equal to 100.

To find the number represented by 1 x 10¹⁰⁰ using logarithms, we can use the base-10 logarithm function.

The logarithm (base-10) of a number x is denoted as log(x) and represents the power to which 10 must be raised to get the number x.

Here, we have 1 x 10¹⁰⁰, and we want to find the value of x.

Using the logarithmic expression:

log(1 x 10¹⁰⁰) = log(1) + log(10¹⁰⁰)

The logarithm of 1 (log(1)) is equal to 0, so the expression simplifies to:

log(1 x 10¹⁰⁰) = 0 + log(10¹⁰⁰)

Now, using the property of logarithms, log(aᵇ) = b × log(a):

log(1 x 10¹⁰⁰) = 0 + 100 × log(10)

The logarithm of 10 (log(10)) is equal to 1, so:

log(1 x 10¹⁰⁰) = 0 + 100 × 1

Finally:

log(1 x 10¹⁰⁰) = 100

Therefore, the value of the number 1 x 10¹⁰⁰ using logarithms is 100.

learn more about logarithms here

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The given question is incomplete, I answer the question in general according to my knowledge:

What is the value of the number using logarithm  1 x 10^100?

From the figure below, the coordinates for point z are:
HELP PLS

Answers

Answer:

(2a, 0)

Step-by-step explanation:

the distance from (a,0) and z from the origin and to each other is both 3. It’s in the middle of two points, there’s an equal distance between w to y and y to z. I hope that makes sense, so, to get the x coordinate multiply a by 2.

Find JL using the perpendicular or angle bisector method.

Answers

3x+4=5x-16
3x=5x-20
-2x=-20
2x=20
x=10

(3x+4)+(5x-16)=
(34)+(34)= 68

JL= 68

The distance (d) in miles that Cecil runs depends on the number of track practices (p) he attends. D = 2p + 3 i) Solvetheequation d=2p+3forp. ii) How many practices he has to attended to run 13 miles?

Answers

Answer: i) [tex]p=\dfrac{d-3}{2}[/tex]

ii) He has to attend 5 practices to run 13 miles.

Step-by-step explanation:

Given: The distance (d) in miles that Cecil runs depends on the number of track practices (p) he attends.

[tex]d=2p+3[/tex]

i) To solve for p . first subtract 3 from both sides , we get

[tex]d-3=2p[/tex]

Divide both sides by 2

[tex]\dfrac{d-3}{2}=p[/tex]

So. [tex]p=\dfrac{d-3}{2}[/tex]

ii) Put d= 13 , we get

[tex]p=\dfrac{13-3}{2}=\dfrac{10}{2}=5[/tex]

i.e. he has to attend 5 practices to run 13 miles.

write the sum of 7√28x^6 + 4√7x^6​

Answers

Answer: 21.97025026/250

Step-by-step explanation:

evaluate composite functions f(x)=3*2^x-4 g(x)=1/1+x g(f(2))=

Answers

Answer:

Step-by-step explanation:

g(f(x))= 1/1+(3*2^x-4)

Therefore g(f(2))=1/1+(3*2^(2)-4)

Find the distance between the points given.
(-3,-6) and (3, 2)
4
752
10

Answers

Answer:

10

Step-by-step explanation:

You should get this answer if you use the distance formula! :)

A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets to the museum. Based on this information, how much is an adult ticket, and how much is a child ticket?

2a + 4c = 38.00
3a + 3c = 40.50
What values of a and c represent the solution to the system?
a = ____
c = ______


a 8
c 5.5

Answers

Answer:

Looks like you gave the answer already.

a = 8 and c = 5.5

Step-by-step explanation:

2a + 4c = 38.00  --> x3 --> 6a + 12c = 144

3a + 3c = 40.50 --> x2 --> 6a + 6c = 81

6c = 33

c = 5.5

a = 8


“Write five sentences about proportional relationships”

Answers

Answer:

Now, we’re going to consider an example of proportional relationship in our everyday life: When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we’ll pay.

Step-by-step explanation:

hope this helps

Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality". Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .") This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.

Solve the equation.

3(2w−7)=3

Answers

Answer:Simplifying

3(2w + -7) = 3

Reorder the terms:

3(-7 + 2w) = 3

(-7 * 3 + 2w * 3) = 3

(-21 + 6w) = 3

Solving

-21 + 6w = 3

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '21' to each side of the equation.

-21 + 21 + 6w = 3 + 21

Combine like terms: -21 + 21 = 0

0 + 6w = 3 + 21

6w = 3 + 21

Combine like terms: 3 + 21 = 24

6w = 24

Divide each side by '6'.

w = 4

Simplifying

w = 4

Step-by-step explanation:

AnswerAnswerAnswerAnswerAnswerAnswerAnswer

:) ·g o o d l u c k ·

At the school store the cost of three markers and two pencils is exactly $2.20 while the cost of four markers and six pencils is exactly $3.40. How much would it cost to buy 1 marker and 2 pencils?

Answers

Answer:

[tex]\$0.92[/tex]

Step-by-step explanation:

Let cost of 1 marker be [tex]x[/tex] and 1 pencil be [tex]y[/tex]

From the question we get two equations

[tex]3x+2y=2.2\quad ...(i)[/tex]

[tex]4x+6y=3.4\quad ...(ii)[/tex]

Multiply the first equation by 3 [tex](i)\times3[/tex]

[tex]9x+6y=6.6\quad ...(iii)[/tex]

[tex]4x+6y=3.4\quad ...(iv)[/tex]

Subtracting the above equations [tex](iii)-(iv)[/tex] we get

[tex]5x=3.2\\\Rightarrow x=\dfrac{3.2}{5}\\\Rightarrow x=0.64[/tex]

[tex]4x+6y=3.4\\\Rightarrow y=\dfrac{3.4-4x}{6}=\dfrac{3.4-4\times 0.64}{6}\\\Rightarrow y=0.14[/tex]

One marker costs $0.64 and one pencil costs $0.14

Cost of 1 marker and 2 pencils is [tex]0.64+0.14\times 2=\$0.92[/tex].

4 Gears A and B turn together. Gear A turns 20 times when
Gear B turns 30 times. When Gear A turns 60 times,
how many times does Gear B turn? Show your work

Answers

Answer:

90 turns

Step-by-step explanation:

Ratio of turns

A/B = 20/30 = 2/3

If A = 60 then the ratio is

60/B = 2/3 ⇒ B = 60*3/2 = 90

find the value of x​

Answers

X equals x because x is theoretically x the letter
X is 31.
You add the angles that are given to you, which would equal 149. Now, you subtract that from 180 because all triangle are equal to 180. You end up with 31.

3. Consider the complex numbers z and w below. Find the difference z-
w and the product z.w.
z = (1 – 3i) and w = (-2 + 5i)

Answers

Answer:

see explanation

Step-by-step explanation:

z - w

= 1 - 3i - (- 2 + 5i) ← distribute parenthesis by - 1

= 1 - 3i + 2 - 5i ← collect like terms

= 3 - 8i

------------------------------------------------------------

z × w

= (1 - 3i)(- 2 + 5i) ← expand using FOIL

= - 2 + 5i + 6i - 15i² [ i² = - 1 ]

= - 2 + 11i + 15

= 13 + 11i

ALL 4 ways of displaying a relation.

Answers

Domain:The set of the first numbers of the ordered pair.
Range:The set of second numbers of the ordered pairs.
Independent:The value of a variable that determines the output.
Dependent:

When this polynomial is divided by (m+1), the remainder is 0. What is the value of the polynomial’s constant term?
-2m^3 + m^2 - m + ___?
A. -4
B. -3
C. 2
D. 4

Answers

Answer: it would be A. -4

Step-by-step explanation:

Got it right on the test

Option A is correct, the value of the polynomial's constant term is -4.

According to the remainder value theorem, if a polynomial is divided by (m+1) and the remainder is 0, it means that (m+1) is a factor of the polynomial.

The given polynomial is -2m³ + m² - m + ___

To find the constant term, we need to determine the value of the polynomial when m = -1 (since (m+1) = 0).

Substituting m = -1 into the polynomial, we get:

-2(-1)³ + (-1)² - (-1) + ___

Simplifying the expression, we have:

-2(-1) + 1 + 1 + ___

-(-2) + 1 + 1 + ___

2 + 1 + 1 + ___

4 + ___

Since the polynomial is divided by (m+1) and the remainder is 0, the constant term must be -4 to cancel out the 4 term and make the expression equal to zero.

Therefore, the value of the polynomial's constant term is -4.

To learn more on Polynomials click:

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Nicole bought a meal in a town with a 9% sales tax. She tips 20% on the bill, and then adds the sales tax. What is the total cost of the meal if she orders a $15 menu item. How much was her meal?

Answers

Amount of tip she gave,

[tex]T = 15\times 0.20\\\\T =\$3[/tex]

Amount of tax given :

[tex]Tax=15\times 0.09\\\\Tax = \$1.35[/tex]

So, total amount she paid is :

Total = Actual cost + Tip + Tax

Total = $(15 + 3 + 1.35 )

Total = $19.35 .

Therefore, total amount she paid is $19.35 .

Hence, this is the required solution.

2 of 6
Given that a = 12 cm and b = 17 cm, work out the area of the triangle.
Give your answer rounded to 1 DP.

Answers

Answer:

102 cm²

Step-by-step explanation:

area of a triangle = 1/2 * base * height

                             = 1/2 * 12 * 17

                             = 102 cm²

1/9(2m-16)=1/3(3m+4)

Answers

Answer:

m = -4

Step-by-step explanation:

[tex] \frac{1}{9} (2m-16)= \frac{1}{3} (3m+4)[/tex]

[tex] \frac{2}{9} m - \frac{16}{9} = \frac{3}{3} m + \frac{4}{3} [/tex]

[tex] \frac{2}{9} m - m = \frac{4}{3} + \frac{16}{9} [/tex]

[tex] \frac{2}{9} m - \frac{9}{9} m = \frac{12}{9} + \frac{16}{9} [/tex]

[tex] \frac{2m - 9m}{9} = \frac{12 + 16}{ 9} [/tex]

[tex]2m - 9m = 12 + 16[/tex]

[tex] - 7m = 28[/tex]

[tex]m = \frac{28}{ - 7} [/tex]

[tex]m = - 4[/tex]

What is the product of the expression
(2+3i)(4-5i)

Answers

Answer:

The product of the expression is:

= 23+2i
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