All categories

3 years ago

Exact solutions. X^2-5x-1=0

Mathematics

1 answer:

Romashka [77]3 years ago

7 0

Answer:

x= (5±√29)÷2

Step-by-step explanation:

Quadratic formula:

x= (-b±√b²-4ac)÷2a

You might be interested in

Factor Completely: 3x^2+8x+5

Katen [24]

Answer:

17x+5

Step-by-step explanation:

3x^2=9x

9x+8x+5

(9x+8x)+5

17x+5

5 0

4 years ago

(1 point) There were 23.7 million licensed drivers in California in 2009 and 22.76 million in 2004. Find a formula for the numbe

Salsk061 [2.6K]

Answer:

N(t) = 0.188t + 22.76

Step-by-step explanation:

Number of licensed drivers in 2004 = 22.76 million

Number of licensed drivers in 2009 = 23.7 million

Number of licensed drivers, N as a function of t since year 2004 ;

General form of a linear function :

y = mx + c

c = intercept ; m = slope

Intercept c = value of y ; when x = 0

Here, population after uerssmmx,

Hence,

In 2004 ;

22.76 = mx + c

x = 0

22.76 = c

Number in 2009

x = number of yesrs after 2004 ; x = 2000 - 2004 = 5years

We can find the slope :

y = m*5 + 22.76

y = 23.7 in 2009

23.7 = 5m + 22.76

23.7 - 22.76 = 5m

m = 0.94 / 5

m = 0.188

Hence, the linear function can be written as :

N(t) = 0.188t + 22.76

8 0

3 years ago

Help me please please

Rama09 [41]

Answer:

Step-by-step explanation:

$\frac{1}{3}$ ×12+8

3 0

3 years ago

You deposit 12,000 in an account that pays 5% interest compounded quarterly .

ExtremeBDS [4]

P is the principal amount, $12000.00.
r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.
t is the time involved, 3....month(s) time periods.
Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.
Do this by dividing your time, 3- month(s), by 12, since there's 12 months in 1 year.
So, t is 0.25....year time periods.
To find the simple interest, we multiply 12000 × 0.05 × 0.25 to get that:

The interest is: $150.00
Usually now, the interest is added onto the principal to figure some new amount after 3 month(s),
or 12000.00 + 150.00 = 12150.00. For example:

If you borrowed the $12000.00, you would now owe $12150.00
If you loaned someone $12000.00, you would now be due $12150.00
If owned something, like a $12000.00 bond, it would be worth $12150.00 now.

8 0

3 years ago

Working her way through school, Julie works two part-time jobs for a total of 35 hours a week. Job A pays $6.10 per hour, and Jo

geniusboy [140]

Answer:

Julie worked 18 hours at Job A and 17 hours at Job B.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Rate per hour at Job A = US$ 6.10

Rate per hour at Job B = US$$ 7.40

Hours at Job A = x

Hours at Job B = 35 - x

Total of hours worked by Julie = 35 hours

Total weekly earnings = US$ 235.60

2. How many hours did she work at each job the week that she made $235.60?

For finding the result, we will use the following formula:

6.10x + 7.4 (35 - x) = 235.60

6.10x + 259 - 7.4x = 235.60

-1.3x = 235.60 - 259 (Subtracting 259 to both sides)

-1.3x = - 23.40

x = -23.4/-1.3 (Dividing by -1.3)

x = 18

Julie worked 18 hours at Job A, so she worked 17 (35 - 18) hours at Job B.

3. Proof that x = 18 is correct.

6.10x + 7.4 (35 - x) = 235.60

6.10 (18) + 7.4 (35 - 18) = 235.60

109.80 + 125.80 = 235.60

235.60 = 235.60

It's proven that x = 18 is correct.

6 0

3 years ago

Read 2 more answers