4(x - 6y)=..................

How many real roots does the function f(x)=x^2+8x-2

galina1969 [7]

First find the determinant, Δ = b^2 - 4ac
a = 1, b = 8 , c = -2 
Δ = 8^2 - 4*1*-2 
Δ = 64 + 8 
Δ = 72 > 0 
therefore there are two real roots!

3 0

3 years ago

Read 2 more answers

You take out a 60-day loan for $5000. At the end of the loan, you owe $73.97 in interest. What is the annual percentage rate? Ro

gulaghasi [49]

The PERCENTAGE ANNUAL RATE is 9.0% to the nearest tenth using the SIMPLE INTEREST FORMULA

The question is related to a SIMPLE INTEREST problem:

Loan period = 60 days

using 365 days a year ;

converting to years , 60 days = (60 / 365) years

interest on loan = 73.97

principal = 5000

Using the formula:

interest = (principal * rate * time)

73.79 = (5000 * rate * (60/365)

Rate = 73.79/(5000 * (60/365)) =8.977%

rate = 9%

Therefore, PERCENTAGE ANNUAL RATE is 9.0%

8 0

3 years ago

A 70-ft ladder is mounted 10 ft above the ground on a fire truck. The bottom of the ladder is 40

riadik2000 [5.3K]

$\text{Hello there!}\\\\\text{Use the Pythagorean theorem first:}\\\\a^2+b^2=c^2\\\\\text{Plug 70 to c since it's your hypotenuse and plug 40 to a}\\\\40^2+b^2=70^2\\\\\text{Solve for b:}\\\\40^2+b^2=70^2\\\\1600+b^2=4900\\\\\text{Subtract 1600 from both sides}\\\\b^2=3300\\\\\text{Square root}\\\\b=57.4456\\\\\text{Round to the nearest tenth}\\\\57.4\\\\\text{Add 10 to 55.4 because the ladder is 10 ft off the ground}\\\\67.4\\\\\boxed{\text{Answer: about 67.4 ft}}$

3 0

3 years ago

In Ms.Khans class,22 out of 25 students hand in their projects on time. What percent of the class hand in their projects on time

Nikitich [7]

88 % students of the class hand in their projects on time

Solution:

Given that, Ms.Khans class, 22 out of 25 students hand in their projects on time

Total number students = 25

Students hand in their projects on time = 22

To find: percent of the class hand in their projects on time

$\text{ percent of class hand in time } = \frac{\text{Students hand in projects on time}}{\text{total students}} \times 100$

Substituting the values, we get

$\text{ percent of class hand in time } = \frac{22}{25} \times 100\\\\\text{ percent of class hand in time } = 0.88 \times 100\\\\\text{ percent of class hand in time } = 88$

Thus 88 % students of the class hand in their projects on time

5 0

3 years ago

Malia is planting a garden in her yard.The dimensions are represented by x+4 feet and x+8 feet. She needs fencing to go around t

Kobotan [32]

Answer:

I think you would have to do 2(x+4)+2(x+8) because it it talking about perimeter and if you imagine a square or rectangle, there are four sides, so just adding x+4 and x+8 wont be the whole perimeter. So, if you solve the expression 2(x+4)+2(x+8) it will give you 4x+24 XD

Step-by-step explanation:

4 0

3 years ago

4(x - 6y)=..................​

4(x - 6y)=..................