HELP PLS ! How many solutions does the following system of equations have?

Answer:

B

Step-by-step explanation:

The equation of proportionality is

y = kx ← k is the constant of proportionality

Here k = 2 , then

y = 2x

This means that the y- coordinate is twice the x- coordinate

The only point where this is true is the point

(2, 4 ) → B

Answer:

B (2,4)

Step-by-step explanation:

If the independent variable (x) is 2, and 2 is the constant of proportionality, y is 2 x 2, or 4. (2, 4) appears on the line representing this proportional relationship.

Answer:

C srry if im wrong

Step-by-step explanation:

Answer:

(-1,1)

Step-by-step explanation:

To find where both lines intersect, solve for x and y with substitution.

Equation 1.

-8x+3y=11

Equation 2.

y=3x+4

Substitute y from equation 2 into equation 1.

-8x+3(3x+4)=11

-8x+9x+12=11

x=-1

Now plug x into the second equation to solve for y.

y=3(-1)+4

y=-3+4

y=1

Both lines intersect at (-1,1)

Answer:

  (-1, 1)

Step-by-step explanation:

It's somewhat difficult to find the point of intersection when graphing these by hand, but a graphing calculator can show it easily.

The lines intersect at (-1, 1).

__

You are given an expression for y, which makes it easy to use substitution as a solution method. Using the second equation to substitute for y in the first equation, we get ...

  -8x +3(3x +4) = 11

  x +12 = 11 . . . . simplify

  x = -1 . . . . . . . subtract 12

Substituting back into the second equation, we find y to be ...

  y = 3(-1) +4 = 1

The lines intersect at (x, y) = (-1, 1).

_____

Additional comment

The slopes are 8/3 and 3. When hand-drawn lines have nearly the same slope, it is difficult to tell exactly where they intersect. Of course, a graphing calculator does not have the problem of finite line width and an apparent long region of intersection. It can pinpoint the intersection exactly.

Of course, "substitution" is not the only way this system of equations can be solved. However, for this system, it is one of the easiest when doing the solution by hand.

Answer:

10. 31.14

10/31+14

Step-by-step explanation:

Answer:

the cups cost 2$ the plates cost 1.50$

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

20^2 + x^2 = 25^2

= 400 + x^2 = 625

= x^2 = 225

= x = 15

Answer:

15

Step-by-step explanation:

20^2 + x^2 = 25^2

= 400 + x^2 = 625

= x^2 = 225

= x = 15

You know what to do

Answer: ~9.51 kilograms each.

Step-by-step explanation: 723/76=9.5131

Answer:

10 dimes and 6 quarters.

Step-by-step explanation:

2.50-25-25=2.00-10 dimes = 1.00-4 0.25=0

so

10 dimes and 6 quarters.

Answer:

10 Dimes and 6 Quarters.

Step-by-step explanation:

Important info:

16 Coins

Total = $2.50

Note:

Dimes = 0.10 Cents

Quarters = 0.25 Cents

Question to answer:

How many of each type of coin does she have?

Solution:

10 Dimes = $1.00

6 Quarters = $1.50

$1.00+$1.50 = $2.50

Therefore 10 Dimes and 6 Quarters = $2.50 and = 16 Coin.

Answer:

12. C

13. A

Step-by-step explanation:

Answer:

Xander has 140 friends

Kennedy has 92 friends

Step-by-step explanation:

Let x represent # of friends Xander has at the start

Let x+11 represent # of friends Kennedy has at the start

Let 2(x+11) rep. the final # of friends Kennedy has

Let 4x rep. the final # of friends Xander has

Total = 232

So we just need to solve for x:

2(x+11) + 4x = 232

2x + 22 + 4x = 232

6x = 210

x = 35             < - This means that xander started with 4 friends.

Sub x to find friends for each:

4x = ?

4(35) = 140 friends

2(x+11) = ?

2(35+11) = 92

Answer:

y= 4x+3

Step-by-step explanation:

To write your equation, solve for the slope.

(y2-y1)/ (x2-x1)

Find two coordinate points from the table.

(0,3) (1,7)

(7-3)/ (1-0)= 4

m=4

Use point-slope equation to find your equation.

(y-y1)=m(x-x1)

(y-3)=4(x-0)

y-3= 4x

y= 4x+3

Its the first equation, y < -1/3x +2

Answer:

15

Step-by-step explanation:

Answer:

7,15,20

Step-by-step explanation:

Triangle side rule : The sum of the two shorter sides must be greater than the length of the largest side.

7 , 15 and 20

7 + 15 must be greater than 20 in order for 7,15 and 20 to be sides of a triangle

7 + 15 = 22

22 > 20 is true so this might be the answer but lets check the other answer choices just in case.

( we do this same process to the other answer choices )

11 , 22 and 35

11 + 22 must be greater than 35 in order for these to be side lengths of a triangle

11 + 22 = 33

33 is not greater than 35 therefore these sides lengths can not represent sides of a triangle

7, 16 and 23

7 + 16 must be greater than 23

7 + 16 = 23

23 > 23 , this is not true so this can't be the answer.

5 + 17 must be greater than 22

5 + 17 = 22

22 > 22 this is not true so this can't be the answer.

The answer is 7,15,20

Answer:

Shakespeare creates an immediate mood of sadness around Romeo because he said sad hours go by slow. also, he talks to benvolio about how sad he is

Answer:

5

Step-by-step explanation:

3 - ( - 5 )

= 3 + 5

3 + ? = 3 + 5

? = 5

Answer:

Step-by-step explanation:

[tex] = 10 {}^{2} + 20 {}^{2} - 5! \\ = 100 + 400 - \\ (5 \times 4 \times 3 \times 2 \times 1) \\ = 100 + 400 - 120 \\ = 500 - 120 \\ = 380[/tex]

10² + 20² - 5! = ？

380

=> 10² + 20² - 5!

=> 100 + 400 - (5 × 4 × 3 × 2 × 1)

=> 100 + 400 - 120

=> 500 - 120

=> 380

Answer:

5 and 25

Step-by-step explanation:

let the son's age be x then the father's age is x + 20

In 5 years

son = x + 5 and father = x + 20 + 5 = x + 25

Then

x + 25 = 3(x + 5) ← father is three times as old as son

x + 25 = 3x + 15 ( subtract x from both sides )

25 = 2x + 15 ( subtract 15 from both sides )

10 = 2x ( divide both sides by 2 )

5 = x and x + 20 = 5 + 20 = 25

si=on is 5 and father is 25

Answer:

The son is 5 and the father is 25.

Step-by-step explanation:

We can do this using  Algebra.

Let the son be x years old.

Then the father's age is x + 20 years.

After 5 years the father's age is x + 25 and the son is x + 5 years.

So we can write the equation:

x + 25 = 3(x + 5)

x + 25 = 3x + 15

25 - 15 = 3x - x

10 = 2x

x = 5.

So the father's present age is 20 + 5 = 25 and the son is 5 years old.

Given that √2 = 1.414

The value of (1/2)√(16200)

16200 can be written as

16200 = 2×8100

16200 = 2×2×4050

16200 = 2×2×2×2025

16200 = 2×2×2×5×405

16200 = 2×2×2×5×5×81

16200 = 2×2×2×5×5×3×27

16200 = 2×2×2×5×5×3×3×9

16200 = 2×2×2×5×5×3×3×3×3

√16200 = √(2×2×2×5×5×3×3×3×3)

√16200 = √2×(2×2)×(5×5)×(3×3)×(3×3)

√16200 = 2×5×3×3√2

√16200 = 90√2

Now,

(1/2)√16200

⇛(1/2)×90√2

⇛90√2/2

⇛45√2

⇛45×1.414

⇛63.63

Answer: Hence, value of (1/2)√(16200) is 63.63

also read similar questions: if √2=1.414 and√3=1.732,find the value of 1/√2+√3..

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If √2 = 1.414 then the value of 5+√2 / 5-√2 is..

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The value of 1/2√16200 given the value of √2 = 1.414 is 63.63

Prime factorization of √16200

= 3 × 3 × 5 × √2

= 90√2

Given:

1/2√16200

= 1/2 × 90√2

= 90√2 / 2

= 45√2

= 45 × √2

= 45 × 1.414

= 63.63

Therefore, the value of 1/2√16200 is 63.63

Learn more about prime factorization:

https://brainly.com/question/9523814

Answer:

1/4, -1/4

Step-by-step explanation:

Simply solve for y

Answer:

Step-by-step explanation:

I assume the problem is to graph the lines.  The easiest is to pick two values of x and calculate y for each line.  For example:

21.  y = -4x + 5  I'll randomly choose vales of 1 and 2 for x and calculate y:

(1, 1)  and   (2, -3)

Now mark those two points and draw a straight line through them.  It is an equation of a straight line, so we know this will be correct.

22.  Same process:

(1,6) and (2,7)

23.  (1,0) and (2,-3)

24.  (1,-4) and (2,-6)

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

These are shown in the attachment.  What's also shown is the second method of producing the lines:  Use a graphing program such as DESMOS to plot the equations. The points aren't needed - they are there to demonstrate that the first approach also works.

I will say 12 cans for 7$ because if you buy a second pair of 12 cans it will cost 14 but if you buy 6 cans for 4 dollars but another pair would be 8$,but i also depends on how much cans you will need ;)

Hope this helps :)

The better buy should be buy twelve cans for 7 dollors

Given that,

Based on the above information, the calculation is as follows:

The first option is

[tex]= 7\div 12[/tex]

= $0.58

The second option

[tex]= 4\div 6[/tex]

= $0.67

Learn more: brainly.com/question/16911495

Answer:

Part A:

Gwen has already burned 100 calories when Tristan and Keith started, and he continues to burn 10 calories per minute. The equation for Gwen is

y = 100 + 10x

Part B:

Tristan is burning 125 calories every 10 minutes. His burning calories rate is 12.5 calories per minute. The equation for Tristan is

y = 12.5x

Part C:

Keith is burning 300 calories in 30 minutes. His rate per minute is 10 calories per minute. The equation for Keith is

y = 10x

Part D:

Just follow the instructions and do the thing for the app. You can then answer the questions it is very easy.

Part E:

Do the same for E after you do Part D.

Step-by-step explanation:

Hope it helps!

Answer: ?

Step-by-step explanation:

Answer:

$416

Step-by-step explanation:

weeks in a year is 52 weeks

52×8=416$