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Nitella [24]
3 years ago
13

Math graph equation. (Picture.)

Mathematics
1 answer:
vladimir1956 [14]3 years ago
5 0

Answer:

y = -2x + 3 is the required equation

Step-by-step explanation:

From the graph we will get two ordered pairs

If we see that When x=0 then y=3  and when x = 1 then  y=1

Now from this we can find the slope of the Graph

So slope of graph = (y2 - y1) / (x2-x1)

                               =(1-3) / (1-0)

                                =-2

So

Slope = m = -2

Now the equation is

y = mx + b

We have to find the value of b

as we have two ordered pairs we can take any of it to find the value of b because line passes through those points

taking (0,3) as a point

y= mx + b

put values

3 = -2*(0) + b

so

b=3


Now the equation of the line in this form is

y = mx + b

which is

y = -2x + 3

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Simplify (1-√3)(⅓+√3) leaving your answer in the form p+q√3​
Mars2501 [29]

Answer:

\frac{-8 +2\sqrt{3} }{3}

Step-by-step explanation:

When working with surds we need to take note of the roots present there.

To expand this equation we can do it the following way noting that √3 X √3 = 3

<em></em>

<em>Expanding (1-√3)(⅓+√3)</em>

1 X 1/3 = 1/3

1 X √3 = √3

-√3 X 1/3 =-√3/3

√3 X √3 = 3

hence, expanding the equation, we have

1/3 + √3 -√3/3 + 3

We can simply group the like terms and add them up.

[1/3 +3] +[√3-√3/3]

10/3 + \frac{2\sqrt{3} }{3}

= \frac{-8 +2\sqrt{3} }{3}

8 0
3 years ago
1) Billy walks 15 miles every day to soccer practice, and catches a ride home from his grandma. Billy had 5 practices last week.
nignag [31]

1 )  Billy walks 15 miles every day to soccer practice and he had 5 practices last week.

We know that,  1 mile = 1760 yards

So, 15 miles = (15× 1760) yards = 26400 yards

Thus the total distance walked in 5 practices will be: (26400*5)yards = 132000 yards


2) Mark's current age is t years

So, his age was in 10 years ago =(t-10)years

Given that, his current age is 3 times his age 10 years ago.

So, the equation to represent this situation will be :  t= 3(t-10)


3 0
3 years ago
Loren is flying round trip from Dallas, Texas, to Minneapolis, Minnesota. The fare for her ticket is $308. Each airport charges
KonstantinChe [14]

Answer:

Step-by-step explanation:

the fare : 308

airport fee : 2 * 16 = 32 (because there is 2 airports)

tax on fare : 12

total is : 308 + 32 + 12 = $352 <==

6 0
3 years ago
Find the domain and range of <img src="https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B2x%7D%7B1%20%2B%20x%5E2%7D" id="TexFormula1"
Vinvika [58]
Hi,

Work:

Equation;

y = \frac{2x}{1 + {x}^{2} }

Root = (0, 0)
Domain: x = R
Vertical Intercept = (0, 0)

Hope this helps.
r3t40

8 0
3 years ago
Someone please help me
Mars2501 [29]

Answer:

x=-1,-2

Step-by-step explanation:

Multiply the given equation with (x+1) on both sides. We'll get,

x+2/x=-3

or,x^2+2=-3x

or,x^2+3x+2=0

or,x^2+2x+x+2=0

or,x(x+2)+1(x+2)=0

or,(x+2)(x+1)=0

or,x=-2,-1

4 0
3 years ago
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