Determine the equation of the line shown in the graph: x = 3 y = 3 y = 0 x = 0

2.5 What is the difference between relational understanding and instrumental

Afina-wow [57]

Answer:

Instrumental understanding – having a mathematical rule and being able to apply and manipulate it. Relational understanding – having a mathematical rule, knowing how to use it AND knowing why it works.

Step-by-step explanation:

Instrumental understanding involves “memorising which problems a method works for and which not, and also learning a different method for each new class of problems” (Skemp 1987, p. 159), is a desire to know “some kind of rule for getting the answer” (p. 155) so that a student can “latch on it and ignore the rest”

3 0

1 year ago

A car that sold for $11,900 has a sales tax of $767. How

dlinn [17]

Answer: 9,953

Step-by-step explanation:

The first step is to find what the sales tax rate is for the first car because it will be the same for the second.

11,900/767 = .064

Now to find the cost of the second car we divide.

637/.064 = 9,953.125 Round to nearest dollar.

4 0

2 years ago

A triangle has an angle that measures 95°. The other two angles are in a ratio of 3:14. What are the measures of those two angle

Marta_Voda [28]

Answer: 15° and 70°

Step-by-step explanation:

The sum of angles of a triangle is 180.

One of the angle is given to be 95°, this means that the sum of the remaining two angles will be ;

180 - 95 = 85°

The ratio of the two sides is given to be 3 : 14

Calculating the angles of each ,the angle with the ratio 3 will be

3/17 x 85 = 15°

The angle with the ratio 14 will be

14/17 x 85 = 70°

Therefore : the measures of the two angles are : 15° and 70°

7 0

3 years ago

Can someone please help me with this?!

Alinara [238K]

Answer: $y=\frac{1}{4}x-3$

Step-by-step explanation:

- The equation of the line in the slope intercept form is: $y=mx+b$

Where m is the slope and b is the y-intercept of the line

- Let's choose two points of the line: (8,-1) and (-4,-4).

- You must calculate the slope of the line as following:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-4-(-1)}{-4-8}=\frac{1}{4}$

- As you can see in the graph attached, the line intersects the y-axis at -3, then b=-3.

- Substituting values into the equation of the line, you obtain:

$y=\frac{1}{4}x-3$

3 0

3 years ago

When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F

aleksandr82 [10.1K]

Let $x$ be the unknown number. So, three times that number means $3x$ , and the square of the number is $x^2$

We have to sum 528 and three times the number, so we have $528+3x$

Then, we have to subtract this number from $x^2$ , so we have

$x^2-(3x+528)$

The result is 120, so the equation is

$x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0$

This is a quadratic equation, i.e. an equation like $ax^2+bx+c=0$ . These equation can be solved - assuming they have a solution - with the following formula