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blsea [12.9K]
4 years ago
6

A gas station charges $2.19 per gallon of gas. use function notation to describe the relationship between the total cost c(g) an

d the number of gallons purchased
Mathematics
1 answer:
Butoxors [25]4 years ago
5 0
For this case, the first thing we must do is define a variable:
 g: number of gallons of gas.
 c (g): total cost.
 We then have a linear function of the form:
 c (g) = 2.19 * g
 Answer:
 
A function notation to describe the relationship between the total cost c (g) and the number of gallons purchased is:
 
c (g) = 2.19 * g
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Factor this completely
Katena32 [7]
To factor a quadratic of the form ax^2+bx+c you need to find two values, j and k, that satisfy two conditions:

ac=jk and b=j+k in this case:

ac=jk=-18 and b=j+k=7 so j and k must be 9 and -2

Now replace bx with jx and kx in the original equation...

x^2-2x+9x-18  and factor the 1st and 2nd pair of terms...

x(x-2)+9(x-2)  which is equal to

(x+9)(x-2)
8 0
3 years ago
One of the elephants in the zoo is on a special diet. Every day, the elephant eats the same amount of carrots that the rabbit ea
Naya [18.7K]

Answer:

1/3 kg.

Step-by-step explanation:

The ratio of the amount of carrots the elephant eats to the amount of carrots the rabbit eats in the same length of time is 365:1.

So if the total they both eat is 122 kg in one day, the rabbit eats 122 * 1/ 366

= 1/3 of a kg,

6 0
4 years ago
What are the solutions to the equation x2 - 8x = 10
mojhsa [17]

Answer:

x = 4 ±√26

Step-by-step explanation:

Please write this as x^2 - 8x = 10, or x^2 - 8x - 10 = 0.  " ^ " indicates exponentiation.

Let's complete the square:

x^2 - 8 x can be rewritten as

x^2 - 8x + 16 - 16, and so

x^2 - 8x = 10 becomes x^2 - 8x + 16 - 16 - 10 = 0, or

                                         (x - 4)^2 = 26

Taking the square root of both sides, we get:

x - 4 = ±√26, or

x = 4 ±√26

5 0
3 years ago
Solve for x <br> i will give brainliest
andreev551 [17]

Answer:

It's 70.4 because i subtracted the 2 numbers and it gave me 9.6 just like 80-9.6. I don't know if i'm right, please correct me if i'm wrong. I'm still not sure...

Step-by-step explanation:

43-123= -80

80-9.6=70.4

80-70.4= 9.6

5 0
3 years ago
0.004 and 3.42 written as a fraction multiplication problem
motikmotik
.004 = 4 / 1000
and 3.42 = 342/100

All you have to do is look at the place that it's in and write the number on top

Ex. 0.004 is in the thousandths place    4/1000
Ex. 3.42 is in the hundredths place      342/100 or 3 42/100

Hope This Helps! :)
4 0
3 years ago
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