Find the equation of the line through the point (2, 5) that cuts off the least area from the first quadrant. Give your answer using the form below. $y-A = B(x-C)$

Answers

Answer 1

Answer: The answer is....... No problem. 5-a=b (2-5c)

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{0.23,19%1/5} Order each set of numbers from least to greatest show work

Answers

First you have to change them all to the same form, so you have to pick one out of them, so for instance you could pick percent which would be; 23%, 19%, and 20%, so from least to greatest it would be; 19%, 20%, and 23%. Hope this helps!

Determine the intercepts of line.
do not round answers.

Answers

The y-intercept is (0, -20) and the x-intercept is (20, 0).

what is an algebraic expression?

An algebraic expression is a mathematical phrase consisting of variables, numbers, and mathematical operations. It can include variables (such as x, y, or z), constants (such as 2, 3, or 4), and operators (such as +, -, *, or /) that combine these elements.

For example, 2x + 3y - 4 is an algebraic expression that contains the variables x and y, the constants 2, 3, and 4, and the operators + and -. It does not contain an equal sign and does not represent an equation, but it can be simplified or evaluated for specific values of the variables. Algebraic expressions are commonly used in algebra and other branches of mathematics to represent mathematical relationships and solve problems.

The given equation is y = -32 + 12.

To find the y-intercept, we set x = 0 and solve for y:

y = -32 + 12

y = -20

So the y-intercept is (0, -20).To find the x-intercept, we set y = 0 and solve for x:

0 = -32 + 12

20 = x

So the x-intercept is (20, 0).

Therefore, the y-intercept is (0, -20) and the x-intercept is (20, 0).

To learn more about algebraic expression from the given link

brainly.com/question/953809

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"The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)?

Answers

G(x)=x²
The graph has moved to the right 4 units, therefore the new graph will be:
H(x)=(x-4)²

It has also move 4 units up, therefore the new graph will be:
F(x)=(x-4)²+4

Answer:
F(x)=(x-4)²+4

y = (x - 4)² + 4

or y = x² - 8x + 20

Further explanation

Transformation of a graph is changing the shape and location of a graph.

There are four types of transformation geometry: translation (or shifting), reflection, rotation, and dilation (or stretching).

In this case, the transformation is shifting horizontally or vertically.
Translation (or shifting): moving a graph on an analytic plane without changing its shape.
Vertical shift: moving a graph upwards or downwards without changing its shape.
Horizontal shift: moving a graph to the left or right downwards without changing its shape.

In general, given the graph of y = f(x) and v > 0, we obtain the graph of:

$\boxed{ \ y = f(x) + v \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ upward v units.
$\boxed{ \ y = f(x) - v \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ downward v units.

That's the vertical shift, now the horizontal one. Given the graph of y = f(x) and h > 0, we obtain the graph of:

$\boxed{ \ y = f(x + h) \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ to the left h units.
$\boxed{ \ y = f(x - h) \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ to the right h units.

Hence, the combination of vertical and horizontal shifts is as follows:

$\boxed{\boxed{ \ y = f(x \pm h) \pm v \ }}$

The plus or minus sign follows the direction of the shift, i.e., up-down or left-right

Given: $\boxed{ \ g(x) = x^2 \ becomes \ f(x) = ? \ }$

In the graph, notice the shifting of the vertex from (0, 0) to (4, 4).

From this, we can describe that from g(x) to f(x) there has been a shift to the right 4 units and upward 4 units.

Let us construct f(x) from g(x).

$\boxed{ \ g(x) = y = x^2 \ } \rightarrow \boxed{ \ f(x) = y = (x + h)^2 + v \ }$

We set h = -4 and v = +4 and we get the equation f(x) as

$\boxed{\boxed{ \ f(x) = (x - 4)^2 + 4 \ }}$

Let's expand it if we want to represent a standard form of a quadratic function, like this:

$\boxed{ \ f(x) = x^2 - 8x + 16 + 4 \ }$

$\boxed{\boxed{ \ f(x) = x^2 - 8x + 20 \ }}$

Conclusion

The graph of f(x) is drawn by the combination of shifting the graph of g(x) to the right 4 units and upward 4 units.

Learn more

Transformations that change the graph of (f)x to the graph of g(x) brainly.com/question/2415963
The similar problem brainly.com/question/1369568
Determine the coordinates of the image of a point after the triangle is rotated 270° about the origin brainly.com/question/7437053

Keywords: transformations, the graph of f(x), resembles, g(x) = x², f(x) = (x - 4)² + 4, y = x² - 8x + 20, translation, shifting, right, upward, horizontal, vertical

A swimming pool is being drained for maintenance. The volume of water in the pool changes by −12 gallons every minute. What is the change in volume over 90 minutes? Enter the your answer in the box.