Solve 2x2 + 16x + 6 = 0 by completing the square. Round the solutions to the nearest hundredth

How to find equation hyperbola with asymptotes, center and transverse?

lapo4ka [179]

The equation for a hyperbola is (x-h)/a - (y-k)/b = 1
Or (y-k)/a - (x-h)/b = 1
h represents the x value of the coordinate
k value represents the y value of the coordinate
together they represent a point, which is the center
So (h,k) is (x,y)

The asymptote is y-k = +/- b/a (x-h)
The transverse is the line that goes through the hyperbola.

6 0

3 years ago

HELP: I need help on multiple questions for a quiz before tomorrow night. If all is answered, you will get 40+ points and marked

Vinil7 [7]

Answer:

1. $33,000

2. $6077.53

3.

a) 2.72 seconds

b) 0.96 seconds

4. 189 square meters

5.

a) Average Rate of Change = 4 pounds per week, or -4

b) 160 pounds (after 5 weeks)

6.

Independent Variables = p, A, and H

Dependent Variable = T

141 beats per minute (rounded to nearest whole number)

Step-by-step explanation:

1.

The value of a tractor V(t) decreases over time, t. Its value is given by:

$V(t)=55000-5500t$

To find value of tractor after 4 years, we would need to substitute "4" into t and calculate. It is shown below:

$V(t)=55000-5500t\\V(4)=55000-5500(4)\\V(4) =33000$

The value of the tractor after 4 years is $33,000

2.

The value of investment that is growing each year, is given by:

$f(n)=5000(1.05)^{n}$

Where

5000 is the initial investment (deposit)

1.05 means a 5% growth rate per year

n is the time in years

We want the investment's value after 4 years, so n would be 4. Substituting we get our answer:

$f(n)=5000(1.05)^{n}\\f(4)=5000(1.05)^{4}\\f(4)=6077.53$

To the nearest cent, the value of the investment would be:

$6077.53

3,

The time it takes of pendulum to make one swing is given by the formula:

$T(L)=2\pi \sqrt{\frac{L}{32}}$

Where L is the length of the pendulum in feet

a)

If L = 6ft, the time it will take is:

$T(6)=2\pi \sqrt{\frac{6}{32}}\\T(6)=2.72$

About 2.72 seconds

b)

Now, the length is 9 inches, we convert it to feet first:

9/12 = 0.75 feet

So, the time it will take:

$T(0.75)=2\pi \sqrt{\frac{0.75}{32}}\\T(0.75)=0.96$

So, it will take about 0.96 seconds

4.

The area of weed after t days can be modeled by:

$A(t)=0.006 \pi t^2$

Where t is number of days

Now, we want to find area after 100 days, so let t = 100, we get:

$A(t)=0.006 \pi t^2\\A(100)=0.006 \pi (100)^2\\A(100)=188.5$

Rounded to nearest sq. m, we have the area to be:

189 square meters

5.

a)

The avg. rate of change is basically how much the program is advertising that someone can loose in a week. It says "4 pounds per week". Since decrease, we give the value of "4" and negative sign So:

Average Rate of Change = 4 pounds per week, or -4

b)

Initial weight is 180 pounds, we know 4 pounds is decreased every week when going through the program course. So, after 5 weeks,

5 * 4 = 20 pounds will be less

So, he will be:

180 - 20 = 160 pounds (after 5 weeks)

6.

The Karvonen formula is given as:

$T=p(220-A)+H(1-p)$

Where

T is target heart rate (in bpm)

p is the percent intensity (expressed as decimal)

A is the age (in yrs)

H is the resting heart rate (in bpm)

We need to identity the independent and dependent variables. Now, lets that a simple example:

y = 2x

Here,

x is the independent variable

y is dependent on x, so y in dependent

Similarly, if you look at the formula, you can see:

p, A, and H are all independent

T depends on them

So,

p, A, H are independent variables

T is the dependent variable

Independent Variables = p, A, and H

Dependent Variable = T

We are given

A = 35

H = 60

p = 65% = 65/100 = 0.65

Now, we want T, lets substitute and find:

$T=0.65(220-35)+60(1-0.65)\\T=141.25$

The target heart rate should be: 141 beats per minute (rounded to nearest whole number)

3 0

3 years ago

PLEASE HELP ME WITH MY GEOMETRY HOMEWORK!!!!

Oduvanchick [21]

I don’t see the question

7 0

3 years ago

Help? Giving brain!!

Ierofanga [76]

Answer:

Natalie saved 16%

Step-by-step explanation:

Natalie saved 16% because 20 divided by 125 is 0.16

When we find percentages our goal is to get something like 0.24 which would mean 24% or 0.14 or 14% in this case it is perfect because we immediately see 0.16 or 16% leaving us with our answer, Natalie got 16% off her new phone.

6 0

2 years ago

Read 2 more answers

a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola

olasank [31]

Answer:

Step-by-step explanation:1/2 of answer is zero

7 0

3 years ago

Read 2 more answers