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Pachacha [2.7K]
4 years ago
5

Write an equation of the line that passes through the given points. (-2,7) and (1,-2)

Mathematics
1 answer:
Effectus [21]4 years ago
7 0
General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\\\To\ find\ a\ and\ b\ substitude\ points\ (-2,7),\ (1,-2)\ into\ equation\\\\  \left \{ {{7=-2a+b} \atop {-2=a+b\ \ |:-1}} \right. 
\\\\ \left \{ {{7=-2a+b} \atop {2=-a-b}} \right. \\+-----\\\\9=-3a\ \ \ |:-3\\a=-3\\\\-2=-3+b\\-2+3=b\\b=1\\\\y=-3x+1
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( 4.2 + 3 ) + (5.7 x - 2 ) + ( 5 — 2.6 x)
White raven [17]
Answer is 10.2 + 3.1x
Solve by combining like terms

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3 years ago
Find the unit rate of 42 teaspoons for 6 cups
attashe74 [19]
The answer is 7 teaspoons for one cup
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3 years ago
Find the point of diminishing returns (x comma y )for the function​ R(x), where​ R(x) represents revenue​ (in thousands of​ doll
riadik2000 [5.3K]

Complete Question

The complete question is shown on the first uploaded image  

Answer:

The point of diminishing returns (x , y ) is  (11, 21462)

Step-by-step explanation:

From the question we are told that

     The function is  R(x) =  10,000 -x^3 - 33x^2 + 800x ,  \ \ 0 \le x \le 20

Here R(x)  represents revenue (in thousands of​ dollars) and  x  represents the amount spent on advertising​ (in thousands of​ dollars).

           Now  differentiating  R(x) we have  

               R'(x) =  -3x^2 +66x + 800

Finding the second derivative of R(x)

              R''(x) =  -6x +66

at  inflection point    R''(x) =  0

    So      -6x  +66  = 0

=>           x=  11

    substituting value of x into R(x)

     R(x) =  10,000 -(11)^3 - 33(11)^2 + 800(11) ,

      R(x) = 21462

Now the point of diminishing returns (x , y ) i.e (x , R(x) ) is

     (11, 21462)

4 0
3 years ago
Find the circumference of the circle. <br> A circle has diameter 9 centimeters.<br> 9
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Answer:

2.86478897565  or   3 (if rounded to the nearest whole number)

Step-by-step explanation:

How we find circumference by using diameter is divide the diameter by pi

SO 9 divide by pi equals 2.86478897565 or 3 (if rounded to the nearest whole number)

Can u mark me as brainlist? :)

HAVE A GREAT DAY!

8 0
3 years ago
29/3 into a mixed fraction
garri49 [273]

Answer: 29/3 into a mixed fraction would be 9 2/3

I hope I helped you. Have a great day!

Step-by-step explanation:

Simplify:

29/3 = 9 2/3

6 0
2 years ago
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