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Alenkasestr [34]
3 years ago
8

How to classify a system and give the number of solutions

Mathematics
1 answer:
Leokris [45]3 years ago
3 0
1) consistent system. at least one solution.

2) inconsistent system. no solutions (the lines are parallel)

3) dependent system. equations have same slope and y-intercept(same line)independent system.

4) equations have different slopes(2 intersecting lines)

im not sure if thats what you were looking for

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I need help! (And an explanation to get an understanding, if you don’t mind!)
german

Answer:

uuuuuh I think the answer is 23 & 27???

4 0
3 years ago
Read 2 more answers
Please help picture shpwnn
zhuklara [117]
4/x³ - (2x-1)/3x

= (4*3) - (2x-1)(x²) / 3x³

= (12 - 2x³ - x²) / 3x³

= -2x³ -x² + 12 / 3x³

The answer is C.
Hope it helps!
3 0
3 years ago
If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo
amm1812

Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

(f \circ g)(x) = f(g(x))

In this case:

f(x) = 4x^2 - 8x - 20

g(x) = 2x + a

So

(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when x = 0, f(g(x)) = 25. So

4a^2 - 8a - 20 = 25

4a^2 - 8a - 45 = 0

Solving a quadratic equation, by Bhaskara:

\Delta = (-8)^2 - 4(4)(-45) = 784

x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5

x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5

The possible values are a = -2.5 or a = 4.5.

5 0
3 years ago
Find x if x-l/x-1=-1
shusha [124]

X= X^2  hope it helps :)

8 0
3 years ago
Marco can paddle his canoe at a rate of 6 miles per hour on unmoving water. However, today Marco is canoeing down (with the curr
Radda [10]

Answer:

S = v1 t1 = 7 t1    traveling downstream

S = v2 t2 = 5 t2    traveling upstream

7 t1 = 5 t2

7 (6 - t2) = 5 t2     since t1 + t2 = 6

42 - 7 t2 = 5 t2

t2 = 42 / 12 = 3.5 hrs so t1 = 2.5 hrs

S = 7 t1 = 7 * 2.5 = 17.5 mi

Also, S = 5 t2 = 5 * 3.5 = 17.5 mi

3 0
2 years ago
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