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3 years ago

What is the unit price of 12 gallons of gasoline that costs $39.48 ?

Mathematics

1 answer:

algol133 years ago

3 0

Answer:

$39.48 per gallon

Step-by-step explanation:

$39.48/16.8 = <u>2.35</u>

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Graph the ordered pairs for y = 3x + 3 using x={−2, 1, 2}

Maru [420]

ANSWER

See graph

EXPLANATION

We need to find the y-values for the ordered pairs by substituting the x-value in to the relation

when
$x = - 2$
$y = 3( - 2) + 3$

$y = - 6 + 3$

$y = - 3$

This gives the ordered pair
$(-2,-3)$

when
$x = 1$

.
$y = 3(1) + 3$

$y = 3 + 3$

$y = 6$
This also gives the ordered pair

$(1,6)$

when
$x = 2$
$y = 3(2) + 3$

.
$y = 9$

This also gives the ordered pair,
$(2,9)$

We now plot all the ordered pairs and draw a line through them.

7 0

2 years ago

Read 2 more answers

Carlota wrote the equation y + 1 = 2 (x - 3) for the line passing through the points (-1, 3) and (2, 9). Explain and correct her

Art [367]

For this case we have the following equation:

$y + 1 = 2 (x - 3)$

That can be rewritten in the form $y = mx + b$

Where:

m is the slope of the line

b is the cut point

So, we have:

$y + 1 = 2 (x - 3)\\y + 1 = 2x-6\\y = 2x-6-1\\y = 2x-7$

Where:

$m = 2$ is the slope

$b = -7$ is the cut point

Carlota has the following points:

(-1, 3) and (2, 9)

To know if the line $y = 2x-7$ passes through these points, we must replace them in the equation and the equality must be fulfilled. So:

Point (-1, 3):

Substituting:

$3 = 2 (-1) -7\\3 = -2-7$

$3 = -9$ It's false, equality is not met. The point (-1, 3) does not go through the line.

The equation written by Carlota is erroneous, the procedure to follow is:

Given $(x1, y1) = (- 1, 3)$ and $(x2, y2) = (2, 9)$ , we find the slope:

$m=\frac{(y2-y1)}{(x2-x1)}$

$m=\frac{(9-3)}{(2-(-1))}$

$m=\frac{6}{3}$

$m=2$

We observe that the slope found by Carlota is the same. Let's see cut point "b". For this we substitute any of the points given in the equation:

$y = 2x + b$

Substituting (2,9) we have:

$9 = 2 (2) + b\\9 = 4 + b\\b = 9-4\\b = 5$

Thus, Carlota's error was at the cut-off point. The correct equation of the line that passes through the given points is $y = 2x + 5$

Answer:

The correct equation of the line that passes through the given points is $y = 2x + 5$

Carlota's mistake was at the cutoff point

5 0

2 years ago

34 + 3 ⋅ 5 = ____. (Input whole numbers only.) Numerical Answers Expected!

vladimir2022 [97]

[ Answer ]

$\boxed{49}$

[ Explanation ]

34 + 3 · 5 = _____

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

Multiply

3 * 5 = 15

Add

34 + 15

Final Answer

$\boxed{[ \ Eclipsed \ ]}$

7 0

3 years ago

PLEASESEEEEEEE HELP WITH THIS TABLE

Darina [25.2K]

Answer:

A and B are correct

Step-by-step explanation:

It's asking what's true, so let me break this down for you.

If you look at the table, y has a row under the x row. Each of the boxes have numbers, and it's a so-called "pattern graph." A says, "The value of the function at x = 0 is y = 3." That means that the number 0 in the "x-row" has a 3 in the "y-row" (or below that number. That's all there is to it, and you just repeat this except different numbers, however... C and D aren't horizontal from each other so they are incorrect.

7 0

3 years ago

Quick anyone know the answer to this problem? Will give brainiest

natka813 [3]

Answer:

I think its b.

5 0

2 years ago

Read 2 more answers