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Zigmanuir [339]
3 years ago
7

Write a linear function f with f(0) =7 and f(3)=1

Mathematics
1 answer:
swat323 years ago
5 0

Answer:

  f(x) = -2x +7

Step-by-step explanation:

The 2-point form of the equation for a line is suitable for this. For points (x1, y1) and (x2, y2), the equation is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

For the given points (0, 7) and (3, 1), the equation is ...

  y = (1 -7)/(3 -0)(x -0) +7

  y = -6/3x +7 . . . . . . . . simplify.

We can use f(x) for y to get ...

  f(x) = -2x +7

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Does anyone know how to do this (#2) PLZZZZ HELPPPPPPPP
timurjin [86]

Answer:

a.- slope= 36

Interpretation : The cable car travels 36 meter per minute

b.- y = 36x + 100

c.- 640 meters

Step-by-step explanation:

a.-

Find slope using the slope formula : \frac{y2-y1}{x2-x1}

Plug in the two given points: \frac{1000-100}{25-0}

Subtract the numbers : \frac{900}{25}

Reduce the fraction : 36

b.-

Using the given y-interspet (100) and the slope create an equation: y = 36x + 100

c.-

Using the equation you created plug in 15 for x to find the

distance: y = 36 (15) + 100

Multiply the numbers : y = 540 + 100

Add the numbers : y = 640

8 0
3 years ago
Which of the following is not a correct description of the graph of the solution set of
timurjin [86]
THE answer must be B

3 0
3 years ago
Plsss help!!!!!!!!!!!
olga55 [171]
You’re correct, it’s the first option
6 0
3 years ago
6x — 5y = 15<br> x = y + 3<br> х =<br> y =
butalik [34]

<em>Replace all occurrences of x with y + 3 in each equation.</em>

<em>Replace all occurences of x in 6x - 5y = 15 with y + 3.</em>

<em>6 (y+3) -5y = 15</em>

<em>x = y + 3</em>

<em>Simplify 6 (y + 3) - 5y.</em>

<em>Simplify each term.</em>

<em>Apply the distributive property.</em>

<em>6y + 6 · 3 - 5y = 15</em>

<em>x = y + 3</em>

<em>Multiply 6 by 3.</em>

<em>6y + 18 - 5y = 15</em>

<em>x = y + 3</em>

<em>Subtract 5y from 6y.</em>

<em>y + 18 = 15</em>

<em>x = y + 3</em>

<em>Move all terms not containing y to the right side of the equation.</em>

<em>Subtract 18 from both sides of the equation.</em>

<em>y = 15 - 18</em>

<em>x = y + 3</em>

<em>Subtract 18 from 15.</em>

<em>y = -3</em>

<em>x = y + 3</em>

<em>Replace all occurences with y with -3 in each equation.</em>

<em>Replace all occurences of y in x = y + 3 with -3.</em>

<em>x = (-3) + 3</em>

<em>y = -3</em>

<em>Add -3 and 3.</em>

<em>x = 0</em>

<em>y = -3</em>

<em>The solution to the system is the complete set of ordered pairs that are valid solutions.</em>

<em>(0,-3)</em>

<em>The result can be shown in multiple forms. </em>

<em>Point Form:</em>

<em>(0,-3)</em>

<em>Equation Form:</em>

<em>x = 0, y = -3</em>

5 0
3 years ago
Read 2 more answers
Which are the solutions of he quadratic equation ? x2 = 9x + 6
dedylja [7]
Put everything on the same side of the equals sign and set it equal to zero so you can factor it.  x^{2} -9x-6=0.  In order to factor that you have no choice really but to put it into the quadratic formula.  When you do that you find that your zeros are x = 9.623475383 and -.623475383
4 0
4 years ago
Read 2 more answers
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