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Mazyrski [523]
4 years ago
14

Determine the number of solutions the systems of linear equations has and the solution(s) to the equations represented by these

2 lines?
A) The system of equations has one solution and it is (3,1)
B) The system of equations has 0 solutions, because the graph has no point of intersection.
C) The system of equations has infinite number of solutions and all real numbers satisfy both equations.
D) The system of equations has 1 solution and it is (0,6).

Mathematics
1 answer:
kogti [31]4 years ago
3 0

The system of equations has one solution and it is (3,1)

<u>Step-by-step explanation:</u>

The Number of solutions of a set of linear equations can be found from the graph of the set of equations.

<u>No solution</u>

If the graph of the set of linear equations are parallel to each other, the the set of equations has no solution.

<u>Infinitely many solutions</u>

If the graph of the set of linear equations coincide, then the set of equations has infinitely many solutions.All points on the graph are solutions of the set of equations.

<u>Unique solution</u>

If the graph of the set of linear equations intersect at a point, then the set of equations has unique solution.The intersecting point is the solution of the set of equations.

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Evaluate each expression for g = -7 and h = 3 and match it to its value.
Arturiano [62]

Answer:

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h  = -4

5. h - g  = 10

6. g - h = -10

Step-by-step explanation:

Given values of g and h are:

g = -7

h = 3

<u>1. gh</u>

The two numbers are being multiplied

Putting the values

gh = (-7)(3) = -21

<u>2. g^2-h</u>

Putting the values

=(-7)^2-3\\=49-3\\=46

<u>3. g+h^2</u>

Putting the values

= -7 + (3)^2\\=-7+9\\=2

<u>4. g+h</u>

Putting the values

= -7+3\\=-4

<u>5. h-g</u>

Putting the values

= 3 - (-7)\\=3+7\\=10

<u>6. g-h</u>

Putting values

=-7-3\\=-10

Hence,

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h  = -4

5. h - g  = 10

6. g - h = -10

4 0
3 years ago
Read 2 more answers
Please help ASAP!!!!!
Viefleur [7K]
Use pythagorean’s theorem
as you can see it’s a right isosceles triangle

so your equation is adapted to this:
p^2 + p^2=44^2
add like terms and simplify
2p^2=1936
divide by 2
p^2=968
square root
p= √968
simplify
p=22√2

the answer would be your second option
3 0
3 years ago
You have a 32-foot fence around a square garden. There are 4 equal sections. You paint 1/3 of one section of the fence.What frac
Vikki [24]
Where 1/3 of the 1 section had been painted, have each section have 3 parts. So each complete section will be 3/3. Where there is 4 section with 3 parts each, we have 12 parts. Thus, you painted 1/12 of the fence.
4 0
3 years ago
Heeeeeeeeelp!!!!!!!!!!!!!!!!
alekssr [168]
Hello,

(√11-√3)(√11+√3)(√11-√5)=(11-3)(√11-√5))=8(√11-√5)
=8√11-8√5


6 0
3 years ago
Dave receives a salary of $200 a week plus a commission of 10% of his weekly sales. An equation y = m x + b represents Dave’s we
vovangra [49]

Answer:

y = 0.1x+200

Step-by-step explanation:

First, let's establish that:

x is independent

y is dependent

Basically, the value of y will depend on what x is.

The problem states that the slope of the line is Dave's comission, so since he makes 10% of comission, we can make the slope as 0.1x (mx)

The problem also states that the y intercept (b) is Dave's base salary, and earlier in the problem it states that his base salary is $200 a week. Therefore, b=200

now, the equation is:

y=0.1x+200

Hope this helps!

4 0
4 years ago
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