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SOVA2 [1]
2 years ago
11

Select the correct answer. What is the solution to the equation? 2(x+7)^2/3 = 8 A. -15 and 1 B. -15 C. 1 D. no solution

Mathematics
1 answer:
svet-max [94.6K]2 years ago
5 0

Answer:

The answer has no solution because it is infinite and that's your vairiable

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Write the set of real numbers x less than 6 in set builder notation
maksim [4K]

Answer:

{x ∈ R: x<6}

Step-by-step explanation:

Given

  • x is a real number
  • x is less than 6

Required

Write the set using set builder notation

The very first thing to do is to list out the range of x, using inequalities;

x is less than 6 implies that -infiniti < x < 6

The next step is to translate this to set builder. This is done as follows

x ∈ R - > This means that x is a real number

x < 6 -> where x is less than 6.

Bringing these two together, it gives:

{x ∈ R: x<6}

Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation

6 0
2 years ago
Find the solutions for a triangle with a = 16, c =12, and B = 63º.
maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}

b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}

b \approx 15.022

Angle A (Law of Cosine)

\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}

\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}

\cos A = 0.315

A= \cos^{-1} 0.315

A \approx 71.639^{\circ}

Angle C (Sum of internal angles in triangles)

C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}

C = 45.361^{\circ}

Hence, the right answer is B.

6 0
3 years ago
Does the point (4, 0) satisfy the equation y = x2?
andre [41]
Y=x^2
substitute the values into the original equation
0=4^2
0=16
No it does not satisfy the equation because 0 does not equal to 16
8 0
2 years ago
Plz help me with this! Thx in advance! <br> (I need to show work)
andrew-mc [135]
A. 35/100 * 240 = 35 * 240 / 100 = 84
B.125/100 * 80 = 125 * 80 /100 = 100
C. 60/ 75% = 60 * 100 / 75 = 8
D. 45 / 15% = 45 * 100/ 15 = 300
7 0
3 years ago
Need help now!!!!! :)
brilliants [131]
The 5 is the coefficient...

6 0
3 years ago
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