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3 years ago

The table shows how the number of cars, c, depends on the number people, t. How would you write this as an equation?

Mathematics

1 answer:

Nataly [62]3 years ago

6 0

Answer:

t = 3c - 5

Step-by-step explanation:

The relation between c and t is linear as the increase of the value of t is uniform for each unit increase in the value of c.

Now, any two points on the graph of the t = f(c) equation are sufficient to determine the equation.

Let the points are (2,1) and (3,4).

So, using two points formula of straight line we get the equation is

$\frac{t - 4}{4 - 1} = \frac{c - 3}{3 - 2}$

⇒ t - 4 = 3(c - 3)

⇒ t - 4 = 3c - 9

⇒ t = 3c - 5 (Answer)

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Combine like terms. 5y - 8 - y

Svetlanka [38]

<h3>Question:-</h3>

Combine like terms. 5y - 8 - y

<h3>Answer:-</h3>

here like terms are 5y,-y
solving like terms
5y-y-8(subtracting 5y-y)
4y-8

hence the combination=

$\bold {4y - 8}$

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lutik1710 [3]

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3 years ago

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olganol [36]

Answer:

Step-by-step explanation:

Vertical Asymptote: x=2Horizontal Asymptote: NoneEquation of the Slant/Oblique Asymptote: y=x 3+23 Explanation:Given:y=f(x)=x2−93x−6Step.1:To find the Vertical Asymptote:a. Factor where possibleb. Cancel common factors, if anyc. Set Denominator = 0We will start following the steps:Consider:y=f(x)=x2−93x−6We will factor where possible:y=f(x)=(x+3)(x−3)3x−6If there are any common factors in the numerator and the denominator, we can cancel them.But, we do not have any.Hence, we will move on.Next, we set the denominator to zero.(3x−6)=0Add 6 to both sides.(3x−6+6)=0+6(3x−6+6)=0+6⇒3x=6⇒x=63=2Hence, our Vertical Asymptote is at x=2Refer to the graph below:enter image source hereStep.2:To find the Horizontal Asymptote:Consider:y=f(x)=x2−93x−6Since the highest degree of the numerator is greater than the highest degree of the denominator,Horizontal Asymptote DOES NOT EXISTStep.3:To find the Slant/Oblique Asymptote:Consider:y=f(x)=x2−93x−6Since, the highest degree of the numerator is one more than the highest degree of the denominator, we do have a Slant/Oblique AsymptoteWe will now perform the Polynomial Long Division usingy=f(x)=x2−93x−6enter image source hereHence, the Result of our Long Polynomial Division isx3+23+(−53x−6)

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3 years ago

25 PTSS EAY PLZZ ANYONE KNOW THIS I WILL GIVE 5 RATED STAR THANKS AND PROMISE BRAINLIEST ASAPExplain how to write a function rul

Furkat [3]

Answer:

y = -1/2x +2

Step-by-step explanation:

The linear and quadratic function rules we usually study in algebra come in several forms.

For linear function rules (equations of a line), there are more than half a dozen different forms, each with its own use. A few that often come in handy are the 2-point form, the slope-intercept form, the point-slope form, and the intercept form. Here, the 2-point form can be useful, since you have several points on the line to choose from.

The 2-point form of the equation of a line is ...

y = (y2 -y1)/(x2 -x1)·(x -x1) + y1

point (x1, y1) and point (x2, y2) can be any pair of the given points, in any order. Let's use the first two for points 1 and 2.

y = (0 -1)/(4 -2)·(x -2) +1

y = -1/2(x -2) +1 . . . . . . . . this is a suitable function rule. In this simplified form, it is in point-slope form, where -1/2 is the slope and (2, 1) is the point.

If you want to simplify this a bit, you can put it into slope-intercept form by eliminating the parentheses and combining the constant terms:

y = -1/2x +2

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3 years ago

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lidiya [134]

Part A: the x-cordinates of where the graphs of the equations intercept are solutions because they make each side of the equation equal to the same value, making them equal. Basically, both functions put out the same value at that point x, making them equal.

Part B: See the attached image. From the tables we can see that both equations have the same output at x=-2, so that is where the graphs would intersect and that would be the solution. They both put out .0625 at x=-2

Part C: You can solve the equation 4^x=2^(x-2) graphically by plotting both sides of the equation as separate functions. In your graphing calculator, you would plot y=4^x and y=2^(x-2), and see at what x-value they intersect to find the solution

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