The average prices of a gallon of fuel are shown in the table. Let p=f(t) be the average price of fuel at t years since 1980. The model f(t)=0.0075t2−0.2t+2.32 fits the data well.
Year
Price​ (dollars per​ gallon)

1980
2.38
1985
1.57
1990
1.18
1995
0.95
2001
1.33
2005
1.95
2006
2.35
a. Find the​ p-intercept of the model.
The​ p-intercept is nothing.
​(Type an ordered pair. Type an integer or decimal rounded to two decimal places as​ needed.)

Answer:

$3.40

Step-by-step explanation:

$5 minus $1.60 = $3.40

Answer:

x = 31

Step-by-step explanation:

These angles are complementary so:

2x + x - 3 = 90

3x - 3 = 90

3x = 93

x = 31

Answer:

I can't see the options, so i will find all the asymptotes.

We have the function:

[tex]f(x) = \frac{x^4 - 4*x^2 + x}{-2*x^4 + 18*x^2}[/tex]

First, we can graph this using a graphing tool, the graph can be seen below.

In the graph, we can see that when we approach x = 0 from the left, f(x) goes to negative infinity, while if we approach x = 0 from the right, f(x) goes to infinity.

This can be written as:

[tex]\lim_{x \to 0_-} f(x) = - \infty \\[/tex]

and:

[tex]\lim_{x \to 0_+} f(x) = + \infty \\[/tex]

A similar thing can be seen at x = 3, when we approach from the left f(x) goes to infinity, while if we approach from the left, f(x) goes to negative infinity.

Then:

[tex]\lim_{x \to 3_-} f(x) = \infty \\\\\lim_{x \to 3_+} f(x) = - \infty \\[/tex]

For x = -3 we can see that when we approach from the left, f(x) goes to negative infinity, while if we approach from the right, f(x) goes to infinity.

Then:

[tex]\lim_{x \to -3_-} f(x) = - \infty \\\\\lim_{x \to -3_+} f(x) = + \infty \\[/tex]

We also can see that as x goes to negative infinity or positive infinity, f(x) tends to -0.5

Then:

[tex]\lim_{x \to \infty} f(x) = -0.5 \\ \lim_{x \to -\infty} f(x) = -0.5[/tex]

So you need to check the options that match with some of the given tendencies.

Answer:

b,c,d

Step-by-step explanation:

edg 21 ^u^

[1] … … 2x₁ + 0x₂ + 3x₃ = 3

[2] … … 4x₁ - 3x₂ + 7x₃ = 5

[3] … … 8x₁ - 9x₂ + 15x₃ = 10

Since [1] is already free of x₂, you might as well start by eliminating x₂ from the other two equations. Add -3 times [2] to [3] :

-3 (4x₁ - 3x₂ + 7x₃) + (8x₁ - 9x₂ + 15x₃) = -3 (5) + 10

-12x₁ + 9x₂ - 21x₃ + 8x₁ - 9x₂ + 15x₃ = -15 + 10

-4x₁ - 6x₃ = -5

[4] … … 4x₁ + 6x₃ = 5

Now eliminate x₃ in [1] and [4]. Add -2 times [1] to [4] :

-2 (2x₁ + 3x₃) + (4x₁ + 6x₃) = -2 (3) + 5

-4x₁ - 6x₃ + 4x₁ + 6x₃ = -6 + 5

0 = -1

which is a contradiction. This means the system has no solution.

Answer:

Opposite angles are right angles.

Step-by-step explanation:

Answer:

How to write by fraction? 50 1/2 by 50 1/2

Step-by-step explanation:

the maximum area for a rectangle is a square.

To find a square with p = 202, divide it by 4,

202 / 4 = 50.5

In a 30-60-90 triangle the hypotenuse is 2 times the shortest leg.

In the problem, they multiplied the shortest leg by sqrt(3)

Hypotenuse = shortest leg x 2

Hypotenuse = 7 x 2 = 14 units

Answer:

Step-by-step explanation:

174

Answer:

i believe its 26

Step-by-step explanation:

please mark brainliest if right

Answer:

Team 1

Step-by-step explanation:

I think it is team 1 because their whiskers go through the whole graph and team 2 only goes from 68 to 76

Answer:

team 1

Step-by-step explanation:

Answer:

359.1887600604 so D should be right    

Answer:

20

Step-by-step explanation:

Answer: 20

Step-by-step explanation: 115-95=20

Answer:

2k + 3z

Step-by-step explanation:

k + k + z + z + z

2k + 3z

Answer:

(1) The angles are 81⁰, 76⁰, 23⁰ and y = 157⁰

(2) The angles are E = 122⁰, P = 40⁰, and Q = 18⁰

Step-by-step explanation:

(1)

Considering the first diagram;

(4x + 29)  + (5x + 11)   +   (2x - 3) = 180 (sum of angles in a triangle)

collect like terms together;

(4x  + 5x  +  2x)  + ( 29 + 11 - 3) = 180

11x + 37 = 180

11x = 180 - 37

11x = 143

x = 143 / 11

x = 13

The angles of this triangle are calculated as follows;

4x + 29 =  (4 x 13)  + 29  = 81⁰

5x + 11  = (5 x 13) + 11 = 76⁰

2x - 3 = ( 2 x 13) - 3 = 23⁰

y⁰ + (2x - 3) = 180 (sum of angles on a straight line)

y⁰ + 23⁰ = 180

y⁰  = 180 - 23

y = 157⁰

(2)

Considering the second triangle;

(15m + 17)  +   (7m - 9)   +   (4m - 10) = 180 (sum of angles in a triangle)

(15m + 7m + 4m) + (17 - 9 - 10) = 180

26m - 2 = 180

26m = 180 + 2

26m = 182

m = 182 / 26

m = 7

The angles of this second triangle are calculated as follows;

E: 15m + 17  = (15 x 7) + 17 = 122⁰

P: 7m - 9 = (7 x 7) - 9 = 40⁰

Q: 4m - 10 = ( 4 x 7)  - 10 = 18⁰

Answer:

oh delete my answer ;-;

Step-by-step explanation:

Answer:

1.8 + 0.75

Step-by-step explanation:

1.80

+0.75

= 2.55

I think. :)

Answer:

6

Step-by-step explanation:

The question indicates that the triangles are similar. The sides of FGH are 12, 15, and 20. The measured side of MNP is 10, which is 1/2 of 20. So since NM is the shortest side, it corresponds to the shortest side of FGH, which is 12. 1/2 of 12 is 6.

Please let me know if you have questions.

Answer:

1. 40

2. 40

3. 140

4. 210.5

I tried, hope this helps :)

Answer: rational number

Step-by-step explanation:

Mixed numbers are all rational numbers because they can be expressed as a fraction. To be a rational number, a number must be able to be written

Answer:

First Blank (4) Second Blank (3)

Step-by-step explanation:

The square in the middle is the base and if you count the side units you will have 4 on each side. From the square the triangle points up 3 units on the graph.

Hope this helps : ) Mark Brainliest

Mean (Average) 17.75

Median 9.5

Range 49

Mode 0, (appeared 2 times)

Geometric Mean 0

Largest 49

Smallest 0

Sum 142

hope this helps

By the way, these are the numbers you provided just in case you forgot anything, these are the ones I answered for.

49, 5, 0, 0, 47, 2, 25, 14

Answer:

5.75

Step-by-step explanation:

Think about it like this, which number is changing with "X" ? Obviously the total f(x) and the number being multiplied by x (the slope) 4.99 so the fixed number is 5.75

Answer:

51

Step-by-step explanation:

34/200=.17

.17×300= 51

Answer:

how do i draw the graph

Step-by-step explanation:

Answer:

I attached my sketch of it. Notice how as the y value goes down 1, the x value goes to the right 2.

I would appreciate Brainliest but no worries.

Answer:

D

Step-by-step explanation:

Answer:

37.7

Step-by-step explanation:

First you would need to find the radius by dividing 24 by 2 which is 12. Then multiply the radius by pie (3.14) and the answer should be 37.68 rounded to the nearest tenth, 37.7.

Answer:

Step-by-step explanation:

Given that a does not equal +-b and a^2-b^2/a+b=12, find a-b.

PLEASE HELP NEED ASAPPPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR