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Reil [10]
3 years ago
7

A system of linear equations for the variables x and y is shown.

Mathematics
1 answer:
love history [14]3 years ago
7 0

Answer: -3

Step-by-step explanation:

Given

Equations of the lines are

y=-x-4\\3y=cx-18

For the system of linear equation a_1x+b_1y=c_1,a_2x+b_2y=c_2 has no solution if

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}

Rewrite the equations

x+y=-4,\ cx-3y=18

Insert the values for the no solution condition

\Rightarrow \dfrac{1}{c}=\dfrac{1}{-3}\\\\\Rightarrow c=-3

Therefore, for c=-3, the system of linear equation ha no solution.

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A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have
klemol [59]

Answer:

91

Step-by-step explanation:

I used a calculator and if you add 76​, 93​, 89​, 71 to 91 it equals 420 and if you divide that by 5 it is 84.

Hope this helps!

5 0
3 years ago
A rectangular lawn 70m by 50m has two cross roads each 6m wide running in the
ser-zykov [4K]
Area of road =70*50=3500
3500*2=7000 because it has cross road
6*6=36
7000-36=6964
6964*5.50=38302
6 0
2 years ago
Question content area top
Mumz [18]

Answer:

(-6,-4)

Step-by-step explanation:

So there actually is really easy way to solve this problem(that many people will never teach you for some weird reason).

Find difference between two points first in x and y direction.

X difference = (-3 - (-8)) = 5

Y difference = (-1 - (-6))  = 5

Multiply 2/5 to each difference

X difference 5 * 2/5 = 2

y difference 5* 2/5 = 2

just add the two number to First point(point A)

-8 + 2 = -6

-6 + 2 = -4

(-6,-4)

7 0
2 years ago
identify a transformation of the function f(x) = √x by observing the equation of the function g(x) = √x-2
gregori [183]
<h2>Answer:</h2>

f(x)=\sqrt{x} is the Square Root Function. These are the characteristics of the graph of the square root function:

  • The domain of the function is the set of all non negative real numbers.
  • The range of the function is the set of all non negative real numbers.
  • The graph has an intercept at (0,0).
  • The graph is increasing on the interval (0, \infty).

Since the function g(x)=\sqrt{x}-2, then this stands for the form:

g(x)=f(x)-c. This form tells us that the graph of f has been shifted c units downward where the value c = 2 in this problem. The graphs of both functions are shown below. The red one is f(x) while the blue one is g(x)

7 0
3 years ago
Read 2 more answers
Solve:<br> 2/3x+15=17<br><br> 3x+8-x=7<br><br> 4(2x-6)=2
Volgvan

Answer:

x = 3

x = (-1)/2

x = 13/4

Step-by-step explanation:

Solve for x:

(2 x)/3 + 15 = 17

Put each term in (2 x)/3 + 15 over the common denominator 3: (2 x)/3 + 15 = (2 x)/3 + 45/3:

(2 x)/3 + 45/3 = 17

(2 x)/3 + 45/3 = (2 x + 45)/3:

1/3 (2 x + 45) = 17

Multiply both sides of (2 x + 45)/3 = 17 by 3:

(3 (2 x + 45))/3 = 3×17

(3 (2 x + 45))/3 = 3/3×(2 x + 45) = 2 x + 45:

2 x + 45 = 3×17

3×17 = 51:

2 x + 45 = 51

Subtract 45 from both sides:

2 x + (45 - 45) = 51 - 45

45 - 45 = 0:

2 x = 51 - 45

51 - 45 = 6:

2 x = 6

Divide both sides of 2 x = 6 by 2:

(2 x)/2 = 6/2

2/2 = 1:

x = 6/2

The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:

Answer:  x = 3

______________________________________________________

Solve for x:

3 x - x + 8 = 7

Grouping like terms, 3 x - x + 8 = (3 x - x) + 8:

(3 x - x) + 8 = 7

3 x - x = 2 x:

2 x + 8 = 7

Subtract 8 from both sides:

2 x + (8 - 8) = 7 - 8

8 - 8 = 0:

2 x = 7 - 8

7 - 8 = -1:

2 x = -1

Divide both sides of 2 x = -1 by 2:

(2 x)/2 = (-1)/2

2/2 = 1:

Answer: x = (-1)/2

_______________________________________

Solve for x:

4 (2 x - 6) = 2

Divide both sides of 4 (2 x - 6) = 2 by 4:

(4 (2 x - 6))/4 = 2/4

4/4 = 1:

2 x - 6 = 2/4

The gcd of 2 and 4 is 2, so 2/4 = (2×1)/(2×2) = 2/2×1/2 = 1/2:

2 x - 6 = 1/2

Add 6 to both sides:

2 x + (6 - 6) = 1/2 + 6

6 - 6 = 0:

2 x = 1/2 + 6

Put 1/2 + 6 over the common denominator 2. 1/2 + 6 = 1/2 + (2×6)/2:

2 x = 1/2 + (2×6)/2

2×6 = 12:

2 x = 1/2 + 12/2

1/2 + 12/2 = (1 + 12)/2:

2 x = (1 + 12)/2

1 + 12 = 13:

2 x = 13/2

Divide both sides by 2:

x = (13/2)/2

2×2 = 4:

Answer: x = 13/4

8 0
3 years ago
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