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Ierofanga [76]
3 years ago
11

9x^2+16=0 what are the solutions

Mathematics
1 answer:
seraphim [82]3 years ago
8 0
X=4i/3,-4i/3

Need 20 characters
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A company is setting up offices in two different cities. The number of employees hired by the company for its office in city A o
labwork [276]
For this case we have the following functions:
 City A:
 f (x) = 9x
 City B:
 g (x) = 3 (2) ^ x
 The total number of employees will be:
 h (x) = f (x) + g (x)
 Substituting we have:
 h (x) = 9x + 3 (2) ^ x
 Rewriting we have:
 h (x) = 3 (3x + (2) ^ x)
 For 5 months we have:
 h (5) = 3 * (3 * (5) + (2) ^ 5)
 h (5) = 141
 Answer:
 the total number of employees in the company over x months and the total number of employees will be 141 when the function is:
 h (x) = 3 (3x + (2)^x); 5 months
3 0
3 years ago
Read 2 more answers
What is the volume of a cone with a base radius of 5 m and a height of 12 m
dolphi86 [110]
Volume of a cone = [(pi)r^2(h)]:3 = [3.14 (25m^2)(12m)]:3 = 314in^3.
7 0
2 years ago
A is an unknown number when you round a to the nearest thousand you get 21,000 when you round a to the nearest hundred you get 2
beks73 [17]
The unknown number a should be 20,500.

4 0
2 years ago
What is the product?<br> (-2x - 3y ?) (-4x-3)
statuscvo [17]

Answer:

8x²+6x+12xy+9y

Step-by-step explanation:

⇒(-2x - 3y)(-4x - 3)

⇒(-2x × -4x)+(-2x × -3)+(-3y × -4x)+(-3y × -3)

⇒8x²+6x+12xy+9y

4 0
3 years ago
An arithmetic sequence has t1=5 and t2=8 find tn and sn
RoseWind [281]

Answer:

a_n=2+3n

\displaystyle S_n=\frac{7n+3n^2}{2}

Step-by-step explanation:

<u>Arithmetic Sequences </u>

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

a_n=a_1+(n-1)r

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

The sum of the n terms of an arithmetic sequence is given by:

\displaystyle S_n=\frac{a_1+a_n}{2}\cdot n

We are given the first two terms of the sequence:

a1=5, a2=8. The common difference is:

r = 8 - 5 = 3

Thus the general term of the sequence is:

a_n=5+(n-1)3=5+3n-3=2+3n

\boxed{a_n=2+3n}

The formula for the sum is:

\displaystyle S_n=\frac{5+2+3n}{2}\cdot n

\displaystyle S_n=\frac{7+3n}{2}\cdot n

Operating:

\boxed{\displaystyle S_n=\frac{7n+3n^2}{2}}

4 0
2 years ago
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