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Natalija [7]
3 years ago
9

How many solutions a system of linear equations have if: Questions. 1.the equations have different slopes? 2.the equations have

the same slope and different y-intercepts. 3.the equations have the same slope and same y-intercepts. Answers. A.no solutions. B.infinetly as many solutions C.two solutions. D.one solution
Mathematics
2 answers:
KATRIN_1 [288]3 years ago
4 0

Answer:

see below

Step-by-step explanation:

1.the equations have different slopes?  They will intersect at one point so one solution

2.the equations have the same slope and different y-intercepts.  They are parallel lines with a different y intercept so they will never intersect - no solutions

3.the equations have the same slope and same y-intercepts. they are the same line so they have infinite solutions

mel-nik [20]3 years ago
3 0

Answer:

1. One solution

2. no solution

3. infinite number of solutions.

Step-by-step explanation:

How many solutions a system of linear equations have if: Questions.

(assuming a system of two equations)

1.the equations have different slopes?

One unique solution, which is at the intersection point.

2.the equations have the same slope and different y-intercepts.

The equations/lines are then parallel but NOT coincident.  They will never meet, therefore NO solution.

3.the equations have the same slope and same y-intercepts.

The two lines/equations are in effect coincident.  Therefore there is an infinite number of solutions.

Answers. A.no solutions. B.infinetly as many solutions C.two solutions. D.one solution

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Which equation represents a proportional relationship between the x and y values? A) y + 4 = 3x B) y − 3x = 0 C) y + 5x = 6 D) y
Romashka [77]

Option is B) y-3x=0  represents a proportional relationship between the x and y values

Explanation:

Case 1 = y+4=3x

From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 4 .

Case 2: y-3x=0

From the above equation we can see that if we change the value of x, the value of y changes by proportionality.

Hence the correct option is B.

Case 3 = y+5x=6

From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 6.

Case 4 = y+1/4×x=2

From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 2.

5 0
4 years ago
If g(x)=2(x-4), find the value of x if g(x)=20
Softa [21]

Answer:

32.64

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
Plz help!!! You identify the error the solve it correctly!!!!!
Eduardwww [97]

Answer:

You have to multiply the numbers diagonally not vertically.

So

10x = 7(350)

10x = 2450

<u>x = 245</u>

5 0
3 years ago
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Gabe is buying a pair of jeans at a local store that are priced at $45. He knows that the country he luces in has an 8% tax adde
harina [27]

Answer:

If gabe has a gift card for $50 then <u>it will cover the cost of jeans. </u>

Step-by-step explanation:

Given:

Gabe is buying a pair of jeans at a local store that are priced at $45.

He knows that the country he lives in has an 8% tax added onto the list price.

Now, if gabe has a gift card for $50 to get will it cover the cost of jeans.

Price of a pair of jeans = $45.

Tax = 8%.

Now, getting the amount of jeans including tax:

$45 + 8% of $45.

= 45+\frac{8}{100} \times 45

=45+0.08\times 45

=45+3.6

=48.6

Thus, the amount of jeans including tax = $48.60.

As, given Gabe has gift card of $50.

Now, subtracting the amount of jeans from amount of gift card:

50-48.60=1.40

So, $1.40 is still remaining.

Therefore, if gabe has a gift card for $50 then it will cover the cost of jeans.

5 0
3 years ago
If the endpoints of the diameter of a circle are (6, 3) and (2, 1), what is the standard form equation of the circle?
saul85 [17]

(x - 4 )² + ( y - 2 )² = 5 → d

the equation of a circle in standard form is

(x - a )² + ( y - b)² = r²

where (a , b) are the coordinates of the centre and r is the radius

the centre is at the midpoint of the endpoints of the diameter and the radius is the distance from the centre to either of the 2 endpoints of the diameter.

to find the centre use the midpoint formula

(a , b) = [ \frac{1}{2} (6 + 2) , \frac{1}{2} (3 + 1 )] = (4 , 2)

to find r use the distance formula with points (4 , 2) and (6 ,3 )

r = √(6 - 4)² + ( 3 - 2)² = √( 4 + 1 ) = √5 ⇒ r² = 5

(x - 4)² + (y - 2)² = 5 is the equation


5 0
3 years ago
Read 2 more answers
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