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notsponge [240]

1 year ago

7

Terry and Ed start a lawn mowing business and purchase the mowers and equipment for $800. They charge $20 for each lawn and use

$4 worth of gas for each job. How many lawns must Terry and Ed mow before breaking even?

1 answer:

sesenic [268]1 year ago

6 0

Answer:

44

Step-by-step explanation:

I hope this helps!

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A parabola can be drawn given a focus of (8, 6) and a directrix of x=4. Write the equation of the parabola

Orlov [11]

Answer:

<em>The equation of the Parabola</em>

<em>(y - 6 )² = 8 (x -6)</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given directrix x = 4

we know that x = h - a = 4

h -a = 4 ...(i)

Given Focus = ( 8,6)

we know that the Focus of the Parabola

( h + a , k ) = ( 8,6)

comparing h + a = 8 ...(ii)

k = 6

solving (i) and (ii) and adding

h - a + h+ a = 8 +4

2 h = 12

h =6

Put h = 6 in equation (i)

⇒ h - a =4

⇒ 6 - 4 = a

⇒ a = 2

<u><em>Step(ii):-</em></u>

<em>The equation of the Parabola ( h,k) = (6 , 6)</em>

<em>( y - k )² = 4 a ( x - h )</em>

<em>(y - 6 )² = 4 (2) (x -6)</em>

<em>(y - 6 )² = 8 (x -6)</em>

<u><em></em></u>

3 0

2 years ago

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE

Furkat [3]

Answer:

x = -6 and x = 4

Step-by-step explanation:

In math, the critical points of a function are the points where the derivative equals zero.

So, first we will find the derivative of the function. The derivative is:

$f'(x)=3x^2 +6x-72$

Now, we are going to make the derivative equal zero and find the answers of the equation.

$3x^2 +6x-72=0\\3(x^2 +2x-24)=0\\3(x+6)(x-4)=0\\$

So we have that the critical points are the answers to this equation:

$x+6= 0 \\x= - 6$

and

$x-4=0\\x=4$

Thus, the critical points are x=-6 and x=4

8 0

3 years ago

11-x+3y=8 solve for y

Greeley [361]

Answer:

y= −1 + x/3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

7 0

2 years ago

Read 2 more answers

A piece of green jade has a mass of 23.401 g.if the sample of jade displaces 50.0 ml of water to 56.5 ml in a 100 ml graduated c

OleMash [197]

we know that

The density is equal to the formula

$Density=\frac{mass}{volume}$

in this problem we have

$mass=23.401\ gr$

<u>Find the volume of a piece of green jade</u>

$Volume=56.5\ ml-50.0\ ml=6.5\ ml$

Substitute the values in the formula of density

$Density=\frac{23.401}{6.5}$

$Density=3.60\frac{gr}{ml}$

therefore

<u>the answer is</u>

$Density=3.60\frac{gr}{ml}$

3 0

3 years ago

Find two geometric means between 5 and 135

aniked [119]

Answer:

We are effectively looking for a and b such that 5, a, b, 135 is a geometric sequence.

This sequence has common ratio <span><span>3<span>√<span>1355</span></span></span>=3</span>, hence <span>a=15</span> and <span>b=45</span>

Explanation:

In a geometric sequence, each intermediate term is the geometric mean of the term before it and the term after it.

So we want to find a and b such that 5, a, b, 135 is a geometric sequence.

If the common ratio is r then:

<span><span>a=5r</span><span>b=ar=5<span>r2</span></span><span>135=br=5<span>r3</span></span></span>

Hence <span><span>r3</span>=<span>1355</span>=27</span>, so <span>r=<span>3<span>√27</span></span>=3</span>

Then <span>a=5r=15</span> and <span>b=ar=15⋅3=45</span>

6 0

3 years ago