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svp [43]
3 years ago
6

The equation of line q is y = 1/3x-7Parallel to line q is liner, which passes through the

Mathematics
1 answer:
grigory [225]3 years ago
7 0

Answer:

y =  \frac{1}{3} x - 10

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient. Hence the gradient of line r is \frac{1}{3}.

Susbt. m=\frac{1}{3},

y =  \frac{1}{3} x + c

To find c, substitute a coordinate.

When x=3, y= -9,

- 9 =  \frac{1}{3} (3) + c

-9= 1 +c

c= -9-1

c= -10

Thus the equation of line r is y =  \frac{1}{3} x - 10.

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The wall is 624 feet long and
m_a_m_a [10]
For this question you would simply divide the number of bamboo poles by the number of feet which would be:
6,500/624= 10.41666666666667
Since it says to round to the nearest whole number,

Your answer would be about 10 bamboo poles per feet
3 0
3 years ago
The revenue function for a sporting goods company is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x)=4
Zina [86]

The maximum revenue generated is $160000.

Given that, the revenue function for a sporting goods company is given by R(x) = x⋅p(x) dollars where x is the number of units sold and p(x) = 400−0.25x is the unit price. And we have to find the maximum revenue. Let's proceed to solve this question.

R(x) = x⋅p(x)

And,  p(x) = 400−0.25x

Put the value of p(x) in R(x), we get

R(x) = x(400−0.25x)

R(x) = 400x - 0.25x²

This is the equation for a parabola.  The maximum can be found at the vertex of the parabola using the formula:

x = -b/2a from the parabolic equation ax²+bx+c   where a = -0.25,  b = 400 for this case.

Now, calculating the value of x, we get

x = -(400)/2×-0.25

x = 400/0.5

x = 4000/5

x = 800

The value of x comes out to be 800. Now, we will be calculating the revenue at x = 800 and it will be the maximum one.

R(800) = 400x - 0.25x²

= 400×800 - 0.25(800)²

= 320000 - 160000

= 160000

Therefore, the maximum revenue generated is $160000.

Hence, $160000 is the required answer.

Learn more in depth about revenue function problems at brainly.com/question/25623677

#SPJ1

5 0
1 year ago
Can someone please help me with this question?
vodka [1.7K]

Answer:

Answer is D hope this helps :)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
How fast is the apple traveling when the kinetic energy is 32 joules?
Daniel [21]

Answer

The apple is traveling at 8 meters per second

Explanation

We have the equation that relates the kinetic energy with the velocty:

K=\frac{v^2}{2}

Then, to find thevelocity when the apple has 32, we replace K = 32 j:

\begin{gathered} 32=\frac{v^2}{2} \\ 32\cdot2=v^2 \\ 64=v^2 \\ v=\sqrt{64}=8 \\  \end{gathered}

Thus, the speed of the apple is 8meter per second

8 0
1 year ago
Question<br> Find the x- and y-intercepts of the parabola y<br> =<br> =-3x²<br> -<br> 10x 10.<br> -
algol13

Answer:

-100/3,0

Step-by-step explanation:

substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

if that makes sense Hope this helps pls brainliest have a nice day :>

5 0
2 years ago
Read 2 more answers
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