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2 years ago

Help again lol 3 more questions on the path

Mathematics

1 answer:

miss Akunina [59]2 years ago

7 0

Answer:

Step-by-step explanation:

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What is the equation of the line that passes through the points four over 5 , and one over five and then one half , and three ov

Scorpion4ik [409]

Your answer is y = -(13/3)x + 11/3. I have put the brackets to show that the entire fraction is negative, they do not do anything else.
First we need to find the slope of the line using the equation (y2 - y1)/(x2 - x1), so we get (3/2 - 1/5)/(1/2 - 4/5). To make this easier, I did each subtraction separately:
3/2 - 1/5 = 15/10 - 2/10 = 13/10
1/2 - 4/5 = 5/10 - 8/10 = -(3/10)
And then we need to divide 13/10 by -(3/10), so:
13/10 ÷ -(3/10) = 13/10 × -(10/3) = -(130/30) = -(13/3), which is our slope.
Then, we can write the equation y = -(13/3)x + c, and substitute in coordinates:
3/2 = (-13/3 × 1/2) + c
3/2 = -(13/6) + c
c = 11/3
So the final equation is y = -(13/3)x + 11/3.
I hope this helps!

3 0

2 years ago

Can people help me with this

marishachu [46]

3) 21,070
5) 600
6) 265
I couldn't see #4
Hoped this helped!

6 0

2 years ago

Read 2 more answers

Which group of skeletal muscles are the largest and strongest in a body?

DENIUS [597]

Answer:

its D i just took the test :)

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Joely's Tea Shop, a store that specializes in tea blends, has available 45 pounds of A grade tea and 70 pounds of B grade tea. T

prisoha [69]

Answer:

Hence, (75,40) is the maximum point and maximum profit is $192.5

Step-by-step explanation:

Let the breakfast be x

And let the lunch or afternoon be y

Inequalities will become

$\frac{1}{3}x+\frac{1}{2}y\leq 45$

$\frac{2}{3}x+\frac{1}{2}y\leq 70$

And objective function will be

Z=1.5x+2.0y

You can see the graph in the attachement

ABCD is the feasible region

Points of feasible region is (0,90) ,(0,0) ,(75,40) and(105,0)

We have to find Z by substituting the points of feasible region

At (0,90) we get

Z=1.5(0)+2(90)

Z=180

At (0,0)

Z=1.5(0)+2(0)

Z=0

At (75,40)

Z=1.5(75)+2(40)

Z=192.5

At (105,0)

Z=1.5(105)+2(0)

Z=157.5

The maximum number we are getting is 192.5 which is at (75,40)

Hence, (75,40) is the point of maximum

4 0

3 years ago

Solve the given differential equation by using an appropriate substitution. the de is homogeneous. (y2 yx) dx − x2 dy = 0

Schach [20]

The solution for the given differential equation is lnlxl = $\frac{-x}{y} +C$

Given,

$(y^{2} +y^{x} )dx - x^{2} dy =0$

Here,

x = vy, dx = vdy + ydv

y = ux, dy = udx + xdu

Then,

$((ux)^{2} +(ux)x)dx-x^{2} (udx+xdu)=0\\=u^{2} x^{2} dx+ux^{2} dx-x^{2} udx-x^{3} du=0\\=u^{2} x^{2} dx=x^{3} du\\=\frac{x^{2} }{x^{3} } dx=\frac{1}{u^{2} } du$