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lutik1710 [3]
3 years ago
6

Choose the equation that matches a relationship where the input (x) is doubled and 5 is added to the product in order to get the

output (y).
(A)
2y + 5 = x
(B)
2x + 5 = y
(C)
2(y + 5) = x
(D)
2(x + 5) = y
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
8 0

First of all, we start with the input x

Then we double it: 2x

Then we add 5 to this result: 2x+5

And this is the output: y=2x+5

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WHOEVER EXPLAINS ALL THEIR WORK AND GOES THROW EAXH STEP WILL GET BRAINLEST THAT IS COMPLETELY FINISEHD. write the equation of t
neonofarm [45]

Answer:

y = -3x+11

Step-by-step explanation:

I accept your challenge!

First we know that a equation of the line is a linear equation, and its equation is:

y = mx+b

m: \text{slope}\\b: \text{y-intercept}

In this context, the slope, defined as the steepness of a line is characterized as the ratio of RISE (the difference in the y-coordinates, the vertical change) over the RUN (the difference in x-coordinates, the horizontal change).

$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}   $

Once we know two points where the line goes through, we can get the slope, once we know the change in y and x.

I will take (3,2) as Point 1 and (4,-1) as Point 2.

So, x_{1}=3 \text{ and } y_{1}=2\\x_{2}=4 \text{ and } y_{2}=-1

$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{-1-2}{4-3}   $

$m=\frac{-3}{1}=-3 $

Now we have to find the y-intercept:

To do so, think about the the points given and the nearly finished equation, we can find b with those two informations.

Our currently equation of the line is:

y = -3x+b

Using the points, take Point 1 as an example, it says that when x = 3, y = 2, so plugging it in the equation:

2 = -3(3)+b\\2 = -9+b\\11 = b

Taking the Point 2

-1 = -3(4)+b\\-1 = -12+b\\11 = b

Now we found b! The equation is complete!

y = -3x+11

6 0
3 years ago
A bathtub is draining at a constant rate. After 2 minutes, it holds 30 gallons of water. Three minutes later, it holds 12 gallon
aliya0001 [1]
Let x, represent the number of minutes and y represents the number of gallons of water in the tub, then the ordered pairs (2, 30) and (5, 12) satisfies the equation.

Therefore the equation is given by: (y - 30)/(x - 2) = (12 - 30)/(5 - 2)
(y - 30)/(x - 2) = -18/3 x = -6
y - 30 =  -6(x - 2) = -6x + 12
y = -6x + 42

Required equation is y + 6x = 42.
5 0
3 years ago
Can some one answer this?
timofeeve [1]

9514 1404 393

Answer:

  (c)  2

Step-by-step explanation:

A graph shows the zeros are -5, -3, 0, 2. Of these, only 2 is on your list.

  2 is a zero of the expression

4 0
2 years ago
The sum of three consecutive numbers is 153. What is the smallest of the three numbers ?
astra-53 [7]
n;\ n+1;\ n+2 - \text{three consecutive numbers}\\\\(n)+(n+1)+(n+2)=153\\\\n+n+1+n+2=153\\\\3n+3=153\ \ \ \ |-3\\\\3n=150\ \ \ \ |:3\\\\n=50


Answer: 50
6 0
3 years ago
12n^2+12n+9=0<br> Please solve!
Bogdan [553]

Answer:

n = (1/2)(-1 ± i√2)

Step-by-step explanation:

Among the several ways in which quadratic equations can be solved is the quadratic formula.  Putting to use the coefficients {12, 12, 9}, we obtain the discriminant, b^2 - 4ac:  12^2 - 4(12)(9) = 144 - 432 = -288.  The negative sign of this discriminant tells us that the quadratic has two unequal, complex roots.  These roots are:

      -b ± √(discriminant)

n = ---------------------------------

                 2a

Here we have:

      -12 ± √(-288)           -12 ± i√2√144          -12 ± i12√2

n = ----------------------  =  ------------------------ =  --------------------

            2(12)                             24                           24

or:

n = (1/2)(-1 ± i√2)

5 0
3 years ago
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