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Troyanec [42]
1 year ago
12

How many solutions does each system have?

Mathematics
1 answer:
dezoksy [38]1 year ago
6 0

Answer:

System 1 has an infinite number of solutions and System 11 has no solution.

Step-by-step explanation:

System 1:

x = y - 3

x - y = -3

2x - 2y = -6

Divide above by 2:

x - y = -3

So the 2 equations are identical

and they have an infinite number of solutions.

System 11:

5x + 2y = -7

15x + 6y = 21

Divide the above by 3:

5x + 2y = 7

Comparing this to the first equation the left sides are the same but right sides are different ( -7 and  7)/

There is no solution to this system.

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natta225 [31]
Answer: C
ABCD may or may not be a parellolgram. Line BD bisects line AC, however we cant figure out if line AC bisects line BD.
4 0
2 years ago
Read 2 more answers
F(x)=-9x^2-2x and g(x)=3x^2+6x-9, find (f-g)(x) and (f-g)(-4)
Sergio039 [100]

Answer:

(f-g)(x) = -12x^{2} - 8x + 9

(f-g)(-4) = -151

Step-by-step explanation:

To find f-g(x) we subtract the common terms. So

f(x) = -9x^{2} - 2x

g(x) = 3x^{2} + 6x - 9

(f-g)(x)

(f-g)(x) = f(x) - g(x) = -9x^{2} - 2x - (3x^{2} + 6x - 9) = -9x^{2} - 2x - 3x^{2} - 6x + 9 = (-9 - 3)x^{2} + (-2 - 6)x + 9 = -12x^{2} - 8x + 9

(f-g)(-4)

(f-g)(x) = -12x^{2} - 8x + 9

We replace x by -4

(f-g)(-4) = -12(-4)^{2} - 8(4) + 9= -151

(f-g)(-4) = -151

5 0
3 years ago
A goat is tethered to a stake in the ground with a 5-m rope. The goat can graze to the full length of the rope a full 360 degree
Nina [5.8K]
The length of the rope in this case becomes the radius of the circle that the goat is able to graze. The area of the circle is calculated through the equation,
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Substituting,
                              A = π(5m)² = 78.54 m²
Thus, the area that the goat is able to graze is equal to 78.54 m². 
5 0
3 years ago
PLEASE HURRY I DONT HAVE MUCH TIME
HACTEHA [7]

Answer:

C.

Step-by-step explanation:

C. is correct bc it makes the most sense out of all of them just check my work by dividing by 2.

4 0
3 years ago
Help me
aivan3 [116]

Answer:

C

Step-by-step explanation:

It is the only answer where the negative signs do not even out on both sides of the equation.

7 0
3 years ago
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