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3 years ago

Given the two points (3, -1) and (5,3), explain how to write the equation of the line in slope intercept form.

Mathematics

2 answers:

mario62 [17]3 years ago

8 0

Answer:

give more detials

Step-by-step explanation:

krok68 [10]3 years ago

4 0

To write the equation of the line in slope intercept form, you would need to solve to find the slope. The slope in this case is 2. We know that because 3-(-1)/5-3= 4/2.

And then to find the y-int we would need to substitute the known values on the equation y=mx+b . Using the point (5,3) we can calculate the intercept. We do 3=2(5)+b. We get that b=-7.

Now in the end the equation in slope intercept form will be
y=2x-7

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Mario has a business selling muffins. Let x be the price of a muffin. Then, the profit P for Mario’s business is given by p(x)=-

Rufina [12.5K]

To make a positive profit p(x)>0 we need to make:
$-100 x^{2} +350x-150 \ \textgreater \ 0$

Now we solve this for x:
$-2 x^{2} +7x-3 \ \textgreater \ 0$

We have:
a = -2
b = 7
c = -3

We will use formula for quadratic equation:
$x_{1} = \frac{-b+ \sqrt{ b^{2}-4ac } }{2a} \\ \\ x_{2} = \frac{-b- \sqrt{ b^{2}-4ac } }{2a} \\ \\ x_{1} = \frac{-7+ \sqrt{ 49-24 } }{-4} = \frac{-7+5 }{-4} = \frac{-2 }{-4} = \frac{1}{2} \\ \\ x_{2} = \frac{-7- \sqrt{ 49-24 } }{-4} = \frac{-7-5 }{-4} = \frac{-12 }{-4} = 3$

We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
x>3

5 0

3 years ago

Read 2 more answers

State if the two triangles are congruent. If they are, state how you know.

Gwar [14]

Answer:

The triangles can be congruent.

Step-by-step explanation:

They are congruent if proven by SSS: 2 sides are clearly stated that they are congruent due to the marks they have.

The last side can be congruent if the diagonals are congruent in length by proving.

They can also be congeuent due to SAS because there is gonna be alternate interior angles due to the transversal.

4 0

3 years ago

PLEASE HELP ASAP!!!!!!!

umka2103 [35]

Answer:

dum there is part A prat B and C

Step-by-step explanation:

5 0

3 years ago

What is the equation of the line that has a slope of -5/3 and a y-intercept of −2?

Serhud [2]

Answer:

y= -5/3x-2

Step-by-step explanation:

3 0

3 years ago

Answer to 0.08x+(x-200)

kari74 [83]

0.08x+(x-200)
(0.08x)(x+-200)
(0.08x)(x)(0.08x)(-200)
= 0.08x^2-16x

3 0

3 years ago