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Yuri [45]
4 years ago
13

Help please !!!

Mathematics
1 answer:
dybincka [34]4 years ago
4 0
The equation for this line would be y=2x-4
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The temperature went from -12°F to 18°F. How much did the temperature change?
Triss [41]

you have negative -12

turn this into a positive (12)

12 plus 18

= 30

8 0
3 years ago
the speed a car travels is inversely proportional to the time it takes to complete a 100 mile trip. which of the following graph
Tems11 [23]

Answer:

Inversely proportion states that a relationship between two variables in which the product is a constant.

If one of the variable increases, then the other decreases in proportion so that the product is unchanged.

If y is inversely proportional to x, then the equation is of the form

y = \frac{k}{x} ;  where k is the constant proportionality.

As per the given condition: Speed of a car is inversely proportional to the time it takes to complete a 100 mile trip,

Let x represents the speed of car and y represents the time taken.

From the given condition:

x \propto \frac{1}{y}

Then by definition of inversely proportional;

x = \frac{k}{y}         [Since, speed = \frac{Distance}{Time} ]

Here, k represents the distance(i.e constant) = 100 miles.

therefore, the equation becomes now;

x = \frac{100}{y} or

xy = 100

The following graph for the above equation as shown below :

7 0
4 years ago
Consider the polynomials p(x) = 3x + 27x^2 and q(x)= 2 . Find the x -coordinate(s) of the point(s) of intersection of these two
Tom [10]

Answer:

The x -coordinate(s) of the point(s) of intersection of these two polynomials are x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333

The sum of these x -coordinates is \frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}

Step-by-step explanation:

The intersections of the two polynomials, p(x) and q(x), are the roots of the equation p(x) = q(x).

Thus, 3x + 27x^2=2 and we solve for x

3x+27x^2-2=2-2\\27x^2+3x-2=0\\\left(27x^2-6x\right)+\left(9x-2\right)\\3x\left(9x-2\right)+\left(9x-2\right)\\\left(9x-2\right)\left(3x+1\right)=0

Using Zero Factor Theorem: = 0 if and only if = 0 or = 0

9x-2=0\\9x=2\\x=\frac{2}{9}

3x+1=0\\3x=-1\\x=-\frac{1}{3}

The solutions are:

x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333

The sum of these x -coordinates is

\frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}

We can check our work with the graph of the two polynomials.

4 0
4 years ago
Write an exponential function in the form y=ab^xy=ab
ivanzaharov [21]

Answer:

Step-by-step explanation:

let y=ab^x

x=0,y=18

18=ab^0=a

a=18

y=18b^x

when x=2,y=1152

1152=18b^{2}\\b^{2}=\frac{1152}{18}=64=8^2\\b=8\\so~y=18(8)^x

7 0
3 years ago
stephanie has 3 3/4 bags of soil to put in her garden. each bag of soil will cover 125.3 ft2. how many square feet will stephani
VashaNatasha [74]

Answer:

469.9 ft^2

Step-by-step explanation:

The rate at which soil covers the garden is:

                     

  125.3 ft^2  /  (1 bag)

If Stephanie has 3 3/4 bags of soil to start with, the area she can cover with this soil is (rate)(number):

   125.3 ft^2          15 bags

------------------- * ---------------- = 469.9 ft^2 can be covered with 3 3/4 bags

        1 bag                  4

8 0
3 years ago
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