solve each system of equations using substitution. x×y=5 4+y=-x​

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\left \{ {{xy=5} \atop {4+y=-x}} \right.\\\\<=> \left \{ {{xy=5} \atop {x=-4-y}} \right.\\\\=> \left \{ {{(-4-y)y=5} \atop {x=-4-y}} \right. \\\\<=> \left \{ {{-y^{2}-4y =5} \atop {x=-4-y}} \right. \\\\<=> \left \{ {{y^{2}+4y+5 =0} \atop {x=-4-y}} \right.[/tex]

because y² + 4y + 5 = (y+2)² + 1 > 0, ∀ y ∈ R

=> y² + 4y + 5 = 0 is unreasonable

=> no solutions


Related Questions

Write three expression that are equivalent to the given expression.
24x+20y

Answers

Answer:

2(12x + 10y)  

Step-by-step explanation:

The value of three expression that are equivalent to the given expression (24x + 20y) are,

⇒ 2 (12x + 10y)

⇒ 4 (3x + 5y)

⇒ 48/2x + 40/2y

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 24x + 20y

Now, We can write the expression as,

⇒ 24x + 20y

⇒ 2 (12x + 10y)

⇒ 4 (3x + 5y)

⇒ 48/2x + 40/2y

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1. A relation contains the ordered pairs shown. One of the ordered pairs is missing an x-coordinate. {(-1,4),(0,4),(2,5),(3,-6),(?,7)} What could be the missing x-coordinate if the relation is not a function?

Answers

Answer:

There are 4 possible scenarios where given relation could not be a function:

i)  [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]

ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]

iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]

iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]

Step-by-step explanation:

From Function Theory, we remember that a relation is not a function when at least one element from domain (x-coordinate) is related to one or more elements from range (y-coordinate). Hence, there are four possibilities of making the relation not a function:

i)  [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]

ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]

iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]

iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]

Consider these atoms. Which atom (Ba or I) would accept electrons from the other atom to satisfy the octet rule? On left, a central purple circle labeled Ba has 6 concentric rings around it. Starting with the innermost ring, the rings have 2, 8, 18, 18, 8, and 2 small green spheres on them, respectively. On right, a central purple circle labeled I has I concentric rings around it. Starting with the innermost ring, the rings have 2, 8, 18, 18, and 7 small green spheres on them, respectively.

Answers

Answer: B (I)

Step-by-step explanation:

My question is the picture

Answers

Answer:

i need some points i don't know the answer

Step-by-step explanation:

i dont know

In ΔXYZ and ΔEFG, angles Y and F are right angles. Which set of congruence criteria would be enough to establish that the two triangles are congruent by HL?

A.
XZ ≅ EG and ∠X ≅ ∠E
B.
XZ ≅ EG and YZ ≅ FG
C.
XZ ≅ FG and ∠X ≅ ∠E
D.
XY ≅ EF and YZ ≅ FG

Answers

Answer:

its b

Step-by-step explanation:

XZ ≅ EG and YZ ≅ FG is enough to make triangles to be congruent by HL. Option b is correct.


Two triangles ΔXYZ and ΔEFG, are given with Y and F are right angles.
Condition to be determine that proves triangles to be congruent by HL.


What is HL of triangle?

HL implies hypotenuse and leg pair of the right angle triangle.

Here, two right angle triangle ΔXYZ and ΔEFG to be congruent by HL only if their hypotenuse and one leg is equal i.e. XZ ≅ EG and YZ ≅ FG respectively.


Thus, XZ ≅ EG and YZ ≅ FG is enough to make triangles to be congruent by HL.

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PLEASE HELP FAST!! Use a graphing calculator to graph the function y=90tan2x on the interval 0 degrees< x < 180 degrees and -300 < y < 300 Evaluate the function at x= 60 degrees, 120 degrees, and 180 degrees Round to the nearest tenth. a. 165.9, 165.9, 0 c. -1.7, 1.7, 0 b. -155.9, 155.9, 0 d. 155.9, -155.9, 0

Answers

Answer: use desmos graphing calculator

Step-by-step explanation:

Answer:

b.  –155.9, 155.9, 0

Step-by-step explanation:

I just did the practice.

Please help meeee :)))))

Answers

It’s a aka 1/2 , -2 hope this helped

!!20 POINTS!! An electrician charges a set fee for every house call and then charges an hourly rate depending on how long the job takes. The total cost of the electrician's services can be determined using the equation C=110+55t, where t is the number of hours the electrician spends at the house working. What is the slope of the equation and what is its interpretation in the context of the problem?

Answers

Answer:

Step-by-step explanation:

the slope is 55. y=mx+b. the interpretation is that the electrician makes 55 an hour, which is really really nice honestly. Maybe I should be an electrician... anyways xD

807 x 491


AND THEM ESTIMATE THE ANSWER

Answers

Answer:

396237 / Estimation would be 396000 I believe.

Step-by-step explanation

Answer:

396000

Step-by-step explanation:

Fond the product of 2x4(2x+3x+4)

Answers

Answer:

10x⁵ + 8x⁴

Step-by-step explanation:

Please help ASAP!
Given f(x)=x² – 9x + 20 and g(x)= x -5, find (f/g)(x)
a. X-5
b. x +4
c. -2x - 4
d. x-4

Answers

It’s b if not d if I’m wrong

Someone please explain to me how to do this ‼️

Answers

Answer:

37

Step-by-step explanation:

A triangle always have to finish with 180 degrees so

47+96=143

180-143=37

HOPE THIS HELPS :)

free brainlest

also, what is 90000000000+9000000000000

Answers

according to my calculations 1.8e9

Answer:

9.09e+12

Step-by-step explanation:

18000000000000

Can i get brainliest plzz?

This year, Kaitlin watched 95 movies. She thought that 76 of them were very good. Of the movies she watched, what percentage did she think were very good?

Answers

Answer: 72%

Step-by-step explanation:

ok

(DUE SOON!!)
Paige, Dante, and Craig all went out for lunch. The total bill for food and drinks was x dollars. Paige, Dante, and Craig all decided to split the bill evenly, so each person paid $13.75. Which of the following equations below represents the given situation?

A. 3x = 13.75

B. 13.75 + 13.75 + 13.75 + x = 3

C. x-3 = 13.75

D. x/3 = 13.75

Answers

Step-by-step explanation:

D, The total amount was X value, but they divided that by 3 for each person, so you would divided the x by 3. ×/3=13.75 per person.

The answer would be D

Write an equation in Slope Intercept form with a slope of -5 and y-intercept of 4. (No spaces)​

Answers

Y-4=-5(x-0)
this is because the y-intercept is at 0,4 and the slope intercept form is
y-y1=m(x-x1)

If m <1 = 7x and m <4 = 3x + 20, what is the m <2?
2
14
35
5

Answers

Answer:

It would be 35

Step-by-step explanation:

Angle 1 and Angle 4 are equal so then you can solve for x.

7x = 3x + 20

x = 5

Then plug in 5 for x

7(5) = 35

Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned} A. B. ​ ​ 4 x ​ +1 x+4 ​ =−3 =−12 ​ 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Rewrite one side (or both) using the distributive property (Choice B) B Rewrite one side (or both) by combining like terms (Choice C) C Multiply/divide only one side by a non-zero constant (Choice D) D Multiply/divide both sides by the same non-zero constant 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No

Answers

The given equations are as follows

[tex]\begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned}[/tex]

(1) First, multiply both sides of equation A by 4, we have

[tex]4\times\left(\frac{x}{4} +1\right)=4\times(-3)[/tex]

Then, rewrite the left-hand side of the above equation by using the distributive property, we have

[tex]4\times\frac{x}{4}+4\times1=4(-3)[/tex]

[tex]\Rightarrow x+4=-12[/tex]

This is the required equation B.

In this way, first use choice D: Multiply both sides by the same non-zero constant, i.e 4.

Then, apply choice A to solve the equation, i.e using the distributive property to solve the left-hand side of the equation.

(2) In the previous answer, equation B has been derived from equation A, hence, both the equations are equivalent.

As both the equations are the same, so both will have the same solution.

Yes, they have the same solution.

Hellllppppppppppp!!!! Please

Answers

Answer:

UMMM UMMM UMMM

Step-by-step explanation:

THE ANSWER IS...................THE ANSWER THE NEXT PERSON SAY

Describe how to graph the solution of y <= - x ^ 2 + 2x​

Answers

Answer:

Graph the parabola opening down,

Step-by-step explanation:

With the vertex at (1, 1),factor the quadratic as y < (less than or equal to) –1(x)(x – 2),find the roots of the parabola to be 0 and 2,graph the parabola with a solid boundary line,test a point that is not on the boundary,and shade inside the parabola.

Write an equation in slope intercept form given the following m = 5/4 and passing through (- 4, - 3)

Answers

y = 5/4x + 2


y - (-3) = 5/4 ( x - (-4))

1. Distribute 5/4

y + 3 = 5/4x + 5

2. Subtract three to collect like terms

y = 5/4x + 2

NEED HELP ASAP , SOMEONE PLEASE HELP!!

Answers

A is a function, while be is not because on the vertical line test the line touches two y points

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,791 was collected on the sale of 1,275 tickets. How many of each type of ticket were sold?

Answers

9514 1404 393

Answer:

379 adult tickets896 student tickets

Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then (1275-a) is the number of student tickets sold. The total revenue was ...

  5a +1(1275 -a) = 2791

  4a = 1516 . . . subtract 1275 and simplify

  a = 379 . . . . . divide by 4

  1275-a = 896

379 adult and 896 student tickets were sold.

Laundry detergent is priced at 20 ounces for $3.40 or 14 ounces for $2.10.what is the the unit rate of the laundry detergent that is better value?

Answers

Answer:

0.17 cents per ounce, which is the 20 ounce

Step-by-step explanation:

3.40 / 20 = 0.17 cents per ounce

2.10/14 = 0.15 cents per ounce

Answer:

14 Ounces for $2.10

Step-by-step explanation:

To find the answer you need to find the cost per ounce by dividing the cost by the ounces

3.40/20 = 0.17. So $0.17 per ounce

2.10/14 = 0.15. So $0.15 per ounce

Plz help I will give brainliest

Answers

Answer:

y= 3x

Step-by-step explanation:

It's y=3x because its rise over run making it 3/1 which equals 3.

I NEED HELL LIKE RIGHT NOW !!!

Which equation represents the graph?

Answers

Answer:

ummm im pretty sure its d

Step-by-step explanation:

Answer:

im pretty sure its last option y=2x

Step-by-step explanation:

on the graph it touches all even numbers

please helppppppppppppp asapppp

Answers

Answer:

Step-by-step explanation:

(6, 6.8) and (1, 2.3)

Enter on graph then draw line through the points.

Please give me brainliest

PLEASE PLEASE HELP ILL MARK AS BRANLIEST

Answers

Answer:

[tex]x=7[/tex]The length of MN = 13The length of NO = 13The length of OM = 13

Step-by-step explanation:

As the given triangle is equilateral as all the sides of the triangle are equal.

[tex]MN = 3x-8[/tex]

[tex]NO=2x-1[/tex]

[tex]OM=5x-22[/tex]

As all the sides are equal, i.e.

[tex]MN=NO=OM[/tex]

as

[tex]MN=NO[/tex]

[tex]3x-8=2x-1[/tex]

Add 8 to both sides

[tex]3x-8+8=2x-1+8[/tex]

[tex]3x=2x+7[/tex]

[tex]x=7[/tex]

Hence, the value of x = 7

so putting the value of x to determine the lengths of the

segments MN, NO, and MO

[tex]MN = 3x - 8[/tex]

       [tex]= 3(7)-8[/tex]

       [tex]=21-8[/tex]

       [tex]=13[/tex]

Hence, the length of MN = 13

[tex]NO = 2x-1[/tex]

       [tex]=2(7)-1[/tex]

       [tex]=14-1[/tex]

       [tex]=13[/tex]

Hence, the length of NO = 13

[tex]OM = 5x-22[/tex]

      [tex]= 5(7)-22[/tex]

      [tex]= 35-22[/tex]

      [tex]=13[/tex]

Hence, the length of OM = 13

HURRY PLEASE!!!! BRAINLEST FOR FIRST ANSWER!!!

Gregg has quarters and p pennies. His brother has 4 times as many quarters and 8 times as many pennies as Gregg has. Write the sum of the number of coins they have, and then combine like terms.

Answers

Do you know how many quarters and pennies Gregg has ??

If not , it’s just

4Q + 8P

N is a positive integer
(I) explain why n(n-1) must be an even number

(II) explain why 2n+1 must be an odd number

Answers

Part (1)

n is some positive integer. Let's say for now that n is even. So n = 2k, for some integer k

This means n-1 = 2k-1 is odd since subtracting 1 from an even number leads to an odd number.

Now multiply n with n-1 to get

n(n-1) = 2k(2k-1) = 2m

where m = k(2k-1) is an integer

The result 2m is even showing that n(n-1) is even

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

Let's say that n is odd this time. That means n = 2k+1 for some integer k

And also n-1 = 2k+1-1 = 2k showing n-1 is even

Now multiply n and n-1

n(n-1) = (2k+1)(2k) = 2k(2k+1) = 2m

where m = k(2k+1) is an integer

We've shown that n(n-1) is even here as well.

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

So overall, n(n-1) is even regardless if n is even or if n is odd.

Either n or n-1 will be even. If you multiply an even number with any number, the result will be even.

=======================================================

Part (2)

n is some positive integer

2n is always even since 2 is a factor of 2n

2n+1 is always odd because we're adding 1 to an even number. The sequence of integers goes even,odd,even,odd, etc and it does this forever.

-----------

Another way to see how 2n+1 is odd is to divide 2n+1 over 2 and you'll find that we get (2n+1)/2 = 2n/2+1/2 = n+0.5

The 0.5 at the end is not an integer, so there's no way that (2n+1)/2 is an integer; therefore 2n+1 is odd.

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