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3 years ago

9

I don't really understand this question

2 answers:

aev [14]3 years ago

7 0

All you need to do is multiply the amount of gas Tyler used (17.04 gallons) by 6.2 to get the amount of gas Maria used. So 17.04 multiplied by 6.2 = 105.648 gallons of gas.

solmaris [256]3 years ago

6 0

You just have to multiply 17.04 * 6.2 to get the answer. The answer is 105.648

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Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

3 years ago

It’s ratios can someone help look at the picture for the question

jolli1 [7]

Answer:

8:4

Step-by-step explanation:

the ratio of apple to orange juice is how much of each is used. to find how much is used for one smoothie look at the table. it says 8 of apple juice and four of orange juice. now make a ratio between the two. apply juice: orange juice=8:4

hope this helps, also what grade is this question for?

7 0

2 years ago

How do you solve for y in the equation: <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%20%3Dy-6" id="TexFormula1" title

kozerog [31]

No it isn't.

Explanation:

x/y * y = (y-6) * y

x = y^2 - 6y

A function gives just one y for every x

In this case there will always be 2 y's for every x

Example:

y can be

y = 6

or

y =−6

(0,-6) & (0,6)

5 0

2 years ago

The scale drawing of a park uses the scale 5 cm= 1 km. what is the perimeter of the actual park?

amid [387]

Answer:

5.0 × 10-5

Step-by-step explanation:

5 cm divided by 1 km

6 0

2 years ago

Simplify.....<br> 4p + 2p

aleksley [76]

Answer:

6p

Step-by-step explanation:

You just add 4 and 2 together and then put p at the end because they are like terms.

6 0

3 years ago

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