Ask question

Ask question

All categories

4 years ago

7

The table compares the initial amount of fuel Li Jing's car had, and the total distance she traveled using that amount, in sever

al different occasions.
Can the total distance be represented as a function of fuel?

Fuel (liters) 1st # , Distance (kilometers) 2nd #

30 100

35 120

40 140

35 120

45 160

25 90

30 100

20 80

Yes or No and why?

2 answers:

AlekseyPX4 years ago

8 0

Answer:

Um so idk the process but yes it can be found :)

Step-by-step explanation:

AfilCa [17]4 years ago

6 0

Answer:

yes

Step-by-step explanation:

khan acedemy says so

You might be interested in

What two rational expressions sum to 2x+3/x^2-5x+4

Anni [7]

Answer:

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

Step-by-step explanation:

Given the rational expression: $\frac{2x + 3}{x^2 - 5x + 4}$ , to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

$x^2 - 5x + 4$

$x^2 - 4x - x + 4$

$(x^2 - 4x) - (x + 4)$

$x(x - 4) - 1(x - 4)$

$(x- 1)(x - 4)$

Thus, we now have: $\frac{2x + 3}{(x- 1)(x - 4)}$

Step 2: Apply the concept of Partial Fraction

Let,

$\frac{2x + 3}{(x- 1)(x - 4)}$ = $\frac{A}{x- 1} + \frac{B}{x - 4}$

Multiply both sides by (x - 1)(x - 4)

$\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4)$ = $(\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)$

$2x + 3 = A(x - 4) + B(x - 1)$

Step 3:

Substituting x = 4 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(4) + 3 = A(4 - 4) + B(4 - 1)$

$8 + 3 = A(0) + B(3)$

$11 = 3B$

$\frac{11}{3} = B$

$B = \frac{11}{3}$

Substituting x = 1 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(1) + 3 = A(1 - 4) + B(1 - 1)$

$2 + 3 = A(-3) + B(0)$

$5 = -3A$

$\frac{5}{-3} = \frac{-3A}{-3}$

$A = -\frac{5}{3}$

Step 4: Plug in the values of A and B into the original equation in step 2

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}$

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

7 0

3 years ago

On a coordinate plane, a triangle has points A (negative 5, 3), B (negative 2, 4), C (negative 2, 2).

sattari [20]

14 units did it and got it right

3 0

3 years ago

The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with th

SCORPION-xisa [38]

The probability of picking a card with an even number is $\frac{3}{10}$ .

<h3>What is probability?</h3>

Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.
The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

To find the probability of picking a card with an even number:

There are 10 cards on which numbers are written 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29.
These cards are placed on a table with the numbers facing down.
To find the probability of picking a card with an even number, first, we count all the even numbers written on the cards.
12, 14, and 18 out of 10 cards there are 3 even numbers written on the cards.
So, the probability of picking a card with an even number is $\frac{3}{10}$ .

Therefore, the probability of picking a card with an even number is $\frac{3}{10}$ .

Know more about probability here:

brainly.com/question/24756209

#SPJ4

COMPLETE QUESTION:

The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down. The probability of picking a card with an even number is _____.

5 0

2 years ago

What is the volume of the rectangular prism?<br>reduce to it's simplest terms!!!

LekaFEV [45]

Answer:

the volume of the rectangular prism=

area of base × height. =27/5× ....unit ³

sorry lol question was incomplete

7 0

3 years ago

Find the value of y for the given value of x. y= -9×+10 when × = 10<br>

FinnZ [79.3K]

Y= -9(10)+10
y= -90+10
y=-80
Answer: y= -80

7 0

3 years ago