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2 years ago

2. A(n) _______________ system is a system of equations with an infinite number of solutions.

Mathematics

1 answer:

Anna11 [10]2 years ago

4 0

Answer:

If a system has infinitely many solutions, then the lines overlap at every point. In other words, they're the same exact line! This means that any point on the line is a solution to the system. Thus, the system of equations above has infinitely many solutions.

Step-by-step explanation:

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Solve 3x^2=-12-6x by completing the square

Lelu [443]

Answer:

x = - 1 ± i $\sqrt{3}$

Step-by-step explanation:

Given

3x² = - 12 - 6x ( add 6x to both sides )

3x² + 6x = - 12 ( divide through by 3 )

x² + 2x = - 4

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = - 4 + 1

(x + 1)² = - 3 ( take the square root of both sides )

x + 1 = ± $\sqrt{-3}$ = ± i $\sqrt{3}$ ( subtract 1 from both sides )

x = - 1 ± i $\sqrt{3}$

3 0

3 years ago

An instructor gives a class a set of 10 problems and says that the nal exam will consist of a random selection of 5 of the probl

sweet-ann [11.9K]

Answer:

probability that he or she will answer at least 4 problems correctly = 0.5

Step-by-step explanation:

probability that he or she will answer at least 4 problems correctly is given as;

P (at least 4 correctly) = P (exactly 4 correctly) + P (all 5 correctly)

Since there are 10 problems. 4 is from the 7 problems chosen and 1 is from the 3 problems we can't figure out. Thus, P(exactly 4 correctly) = 7C4 x 3C1

Thus, P (at least 4 correctly) = [ (7C4) x (3C1) ] / (10C5)] + [(7C5)/(10C5)]

= [(35 x3)/252 ] + [21/252]

= [ 105/252 ] + [ 21/252 ]

= 126 / 252

= 0.5

8 0

3 years ago

a family of 4 went to a lacrosse game and spent a total of $74. they each had a hot dog, popcorn, and a soda. a hot dog cost $3,

Taya2010 [7]

Answer:

12$

Step-by-step explanation:

74 - 4(1.50+3+2) = 48

48 / 4 = 12

4 0

3 years ago

You need to buy 200 treats for a party. You can buy cookies at $ 0.80 each or muffins at $1.60 each. Your goal is to spend $200

Agata [3.3K]

You should buy cookies, because .80 x200=160 , which is less than $200

4 0

3 years ago

Does anyone know how to do these maths question???

Dmitry_Shevchenko [17]

Answer:

Part 1) $f(g(x))=3(x^2)+2$

Part 2) $g(f(5))=289$

Step-by-step explanation:

we know that

A composite function is a function that depends on another function. A composite function is created when one function is substituted into another function

we have

$f(x)=3x+2$