If you were born in 2005 how old will you be in 2050

Use the quadratic formula to solve for x. 4x2 +9x-1=0

insens350 [35]

Answer:

$x=\frac{-9\pm\sqrt{65} }{8}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Step-by-step explanation:

Step 1: Define

4x² + 9x - 1 = 0

Step 2: Define variables

a = 4

b = 9

c = -1

Step 3: Find roots

Substitute: $x=\frac{-9\pm\sqrt{9^2-4(4)(-1)} }{2(4)}$
Exponents: $x=\frac{-9\pm\sqrt{81-4(4)(-1)} }{2(4)}$
Multiply: $x=\frac{-9\pm\sqrt{81-16} }{8}$
Subtract: $x=\frac{-9\pm\sqrt{65} }{8}$

5 0

3 years ago

john and o'niel are playing a board game in which they roll two number cubes. John needs to get a sum of 8 on the number cubes t

Musya8 [376]

Answer:

John

Step-by-step explanation:

John either needs

2+6

3+5

4+4

5+3

6+2

Oniel eith needs

5+6

6+5

John is more likely

3 0

3 years ago

The function f(x) = 582(7)x represents the growth of a mosquito population every year in a remote swamp. Troy wants to manipulat

Vladimir79 [104]

Answer: The required function is,

$f(x)=582(7^\frac{1}{6})^{6x}$

Step-by-step explanation:

Since, the population which is increasing with the constant factor is,

$P(x)=ab^x$

Where, a is the initial population,

b is the growth factor per period,

x is the number of periods.

Here, the given function that represents the mosquito population after x years,

$f(x)=582(7)^x$

Where, 7 is the growth factor per year,

Since, 12 months = 1 year,

2 month = 1/6 year.

Also, we can write,

$582(7)^x=582(7)^{\frac{1}{6}\times 6x}=582(7^\frac{1}{6})^{6x}$

$\implies f(x)=582(7^\frac{1}{6})^{6x}$

Which is the required equivalent function that shows the population of mosquito is increasing in every 2 month by the growth factor $7^\frac{1}{6}$ .

6 0

3 years ago

a car travel at a speed of 40km/hr for DIStance of 20 km and the next of 20km with a speedof 60km/gr find the average speed

sergij07 [2.7K]

Answer:

The average speed will be: 48 km/h

Step-by-step explanation:

FOR FIRST 20 KM

Distance covered by a car = 20 km

Speed at which the first 20 km distance was covered = 40 km/hr

As we know time equals distance divided by speed.

So

Time taken to cover first 20 km distance= 20 ÷ 40 = 1 ÷ 2 hrs

FOR NEXT 20 KM

Distance = 20 km

Speed at which the next 20 km distance was covered = 60 km/hr

Time taken to cover first 20 km distance = 20 ÷ 60 = 1 ÷3 hrs

so

Total time = Time taken to cover first 20 km distance + Time taken to cover first 20 km distance

$=\frac{1}{2}+\frac{1}{3}$

$=\frac{3}{6}+\frac{2}{6}$ ∵ $\mathrm{Least\:Common\:Multiplier\:of\:}2,\:3:\:\:6$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$=\frac{3+2}{6}$

$=\frac{5}{6}$

So total time = 5/6 hours

Thus,

average speed = $\left(20\:+\:20\right)\:\div \left(5\:\div \:6\right)$

$=\frac{40}{\frac{5}{6}}$

$=\frac{40\cdot \:6}{5}$ ∵ $\mathrm{Apply\:the\:fraction\:rule}:\:\frac{a}{\frac{b}{c}}=\frac{a\cdot \:\:c}{b}$

$=\frac{240}{5}$

$=48$ km/h

Therefore, the average speed will be: 48 km/h

3 0

3 years ago

Which expression is equal to 4x (30 + 7)?

N76 [4]

Answer:

I believe the answer is c

4 0

3 years ago