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lakkis [162]
3 years ago
9

What is the slope of the linear equation y=4 - 3x?

Mathematics
1 answer:
tekilochka [14]3 years ago
4 0

Answer:

the answer to the problem is m= -3

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Use the parabola tool to graph the quadratic function f(x)=(x-5)^2+1
andrey2020 [161]

Answer:

Look to the attached graph

Step-by-step explanation:

* Lets revise how to graph the quadratic function

- Find the vertex of it

- Find the y-intercept

- Find the x-intercept

∵ f(x) = (x - 5)² + 1 ⇒ the completing square form

- The completing square form for any quadratic is

 ( x - h)² + k, where h and k are the coordinate of the vertex point

* Lets compare the two forms

∵ (x - h)² + k = (x - 5)² + 1

∴ h = 5 and k = 1

∴ The vertex of the parabola is (5 , 1)

- To find the x-intercept put f(x) = 0

∵ (x - 5)² + 1 = 0 ⇒ subtract 1 from both sides

∴ (x - 5)² = -1 ⇒ the square can not give -ve number

∴ The parabola does not intersect the x-axis

- To find the y-intercept put x = 0

∵ f(0) = (0 - 5)² + 1 = 25 + 1 = 26

∴ The parabola intersects the y-axis at point (0 , 26)

- The parabola is opened upward because the coefficient of x² is +ve

* Now lets graph it

- Look to the attached graph

5 0
3 years ago
exaplain how to use the verticle line test in detil to determine wether a relation represents a function
Archy [21]
If you drop a vertical line thru the graph if it passes thru more than one point than it is not a function
EX: (pic)

8 0
3 years ago
19. Luggage on a certain airline is limited to 2 pieces per person.
Mama L [17]

Answer: The second piece can weigh 256 pounds at most.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality with the information given:

The sum of the weight of each piece of Luggage must be less or equal to 581 pounds:

x + 325 ≤581

Where x is the second piece's weight.

Solving for x:

x ≤581 -325

x ≤ 256

The second piece can weigh 256 pounds at most.

Feel free to ask for more if needed or if you did not understand something.

7 0
3 years ago
15.
Dmitrij [34]

Answer:

B. y = | x + 15.5 |

Step-by-step explanation:

The + inside the absolute value equation really means -.

So there is a horizontal shift of 15.5 units left.

4 0
2 years ago
Read 2 more answers
In planning a restaurant, it is estimated that a profit of $8 per seat will be made if the number of seats is no more than 50 in
AleksandrR [38]

Answer:

a. 65  seats

b. $422.50

Step-by-step explanation:

We have the following two functions:

8 * x, {0 <= x <= 50}

x * (8 - 0.1 * (x - 50)), {x> 50}, solving we have:

-0.1 * x ^ 2 + 13 * x, {x> 50}

Now we derive both functions and we are left with:

8, {0 <= x <= 50}

-0.2 * x + 13 {x> 50}

we cannot equal to 0 the first function that is equal to 0, because it would be inconsistent, therefore we equal the second function to 0:

-0.2 * x + 13 = 0

0.2 * x = - 13

x = -13 / -0.2

x = 65

Now, test for increasing and decreasing on the intervals (0.65) and (65, infinity)

p '(60) = -0.2 * (60) + 13 = 1

since this value is positive the profit is increasing on (0.65)

p '(70) = -0.2 * (70) + 13 = -1

becuase this value is negative the profit is decreasing on (65, infinity)

Therefore 65 seats are needed to maximize profit

The maximum value would be:

P (65) = 0.1 * (65 ^ 2) + 13 * 65 = 422.5

That is, the maximum value is $ 422.50

8 0
2 years ago
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