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Dominik [7]
3 years ago
9

How many, and what type of, solutions does 4x² + 12x + 9 = 0 have? 2 irrational solutions 1 rational solution 2 nonreal solution

s 2 rational solutions
Mathematics
1 answer:
SVEN [57.7K]3 years ago
4 0

The discriminant is

\sqrt{ {12}^{2}  - 4(4)(9)}

which is 0.

Since the discriminant is 0, there is only one real solution.

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Carol Ann buys a TV at 70% off the original price. If she pays $120, what was the original price of the TV?
Keith_Richards [23]
If the TV is 70% off, then that means she paid 30% of the original cost.  If 30% of the original cost  is $120, then...

30% * x = 120
.30x = 120
x = 120/.30
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5 0
3 years ago
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d) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump? (5 points)
SIZIF [17.4K]

Answer:

a = -0.32

b = 16

c = - 168

Step-by-step explanation:

In the figure attached, the quadratic function is shown. We can model it as follows:

y = a*(x - x1)*(x - x2)

where (x1, 0) and (x2, 0) are its roots

From the picture, roots are (15, 0) and (35, 0), replacing them into the equation:

y = a*(x - 15)*(x - 35)

and the vertex is at (25,32), replacing into the equation:

32 = a*(25 - 15)*(25 - 35)

32 = a*(-100)

a = 32/(-100)

a = -0.32

Applying distributive property:

y = -0.32*(x - 15)*(x - 35)

y = -0.32*(x² - 35x - 15x + 525)

y = -0.32x² + 16x - 168

which corresponds to the general form:

y = ax² + bx + c

3 0
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The average human body contains about 40 L of water. What is the total amount of water contained in the 6.4 billion people in th
vesna_86 [32]

Answer:

2.56 * 10^11 L

Step-by-step explanation:

1 body has 40 L

Thus, the amount in 6.4 billion would be;

40 * 6.4 * 10^9

= 256 * 10^9

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Answer:

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so, the other unknown angle be y

=》y + 40° + 110° + 80° = 360°

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=》y = 360° - 230° = 130°

and the unknown angle + x = 180°

( because they for linear pair )

so, x + y = 180°

x + 130° = 180°

x = 180° - 130° = 50°

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Answer:

x=2

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