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3 years ago

Which number belongs to the solution set of the equation below? 8x=120

Mathematics

1 answer:

vlabodo [156]3 years ago

4 0

8x = 120
x = 120/8
x = 15

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Which of the following is the complete list of roots for the polynomial function f (x) = (x2 + 6x + 8) (x2 + 6x + 13)?

Natali5045456 [20]

Answer:

-2, -4, -3 + 2i, -3-2i

Step-by-step explanation:

Equaling the function to zero we have:

(x ^ 2 + 6x + 8) (x ^ 2 + 6x + 13) = 0

For the first parenthesis we have:

(x ^ 2 + 6x + 8) = 0\\(x + 4) (x + 2) = 0

Therefore the roots are:

x = - 4\\x = - 2

For the second parenthesis we have:

(x ^ 2 + 6x + 13) = 0

By completing squares we have:

x ^ 2 + 6x = -13

x ^ 2 + 6x + (\frac{6}{2}) ^ 2 = -13 + (\frac{6}{2}) ^ 2\\x ^ 2 + 6x + 9 = -13 + 9\\(x + 3) ^ 2 = - 4\\x + 3 = +/- \sqrt{-4}

Therefore the roots are:

x = -3 + 2i\\x = -3 - 2i

Hope this was helpful

6 0

3 years ago

Given the diagram below, find the height of the shorter tree.

rusak2 [61]

Answer:

h = 13 m

Step-by-step explanation:

The triangles are similar, so the ratios of corresponding sides are equal, that is

$\frac{h}{39}$ = $\frac{16}{48}$ = $\frac{1}{3}$ ( cross- multiply )

3h = 39 ( divide noth sides by 3 )

h = 13

3 0

3 years ago

Graphs of more than one function f(4)=<br> If g(x)=2,x=

Mamont248 [21]

Answer:

f(4)= 11

If g(x)=2, x=0

5 0

3 years ago

(solve) i dont get it

Artist 52 [7]

I think the answer is x=10

8 0

3 years ago

Please help out it for my math homework and I sure do have more questions

GalinKa [24]

Answer:

30°

Step-by-step explanation:

Remember, all the interior angles of a triangle add up to 180 degrees. Therefore, we can find the value of x by subtracting the values of the other angles from 180:

$x = 180-97-53$

$x=30$

3 0

3 years ago

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