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3 years ago

How many units down does susan need to move to get to the fourth point on the number line a. 1/2 b. 3/2 c. 2 d. 4 e. 6

Mathematics

1 answer:

ddd [48]3 years ago

4 0

Answer:

e. 6

Step-by-step explanation:

Hello there!, since there is no prior information concerning the activities performed by Susan, I will explain what a number line is and try as much as possible to answer your question from the definition.

A number line is a line on which integers are usually drawn as points separated by a uniform distance. This way, the number line makes addition and subtraction easier, which is very useful when you want to teach someone these operations.

Now, let assume Susan starts from 0 on the number line, to get to the fourth point, Susan needs to move 4 blocks, where each block contains 10 units.

Now, let's assume that Susan is at the third block and the fourth unit, it will take Susan an additional 6 units to get to the fourth point.

NOTE: The solution to this question was provided based on assumption since no much information was given in the question.

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8 A test rocket is fired and follows a path described by y = 0.1x(200 – x). The height is y metres above

balandron [24]

Answer:

a) The rocket travels 200 meters horizontally.

b) The height of the rocket mid-flight is of 1000 meters.

Step-by-step explanation:

Height of the rocket:

The height of the rocket, in meters, after an horizontal distance of x, is given by:

$y = 0.1x(200 - x)$

a) How far does the rocket travel horizontally?

This is x when $y = 0$ . So

$0.1x(200 - x) = 0$

Then

$0.1x = 0$

$x = 0$

And

$200 - x = 0$

$x = 200$

The rocket travels 200 meters horizontally.

b How high does the rocket reach mid-flight?

This it the height y when x = 0, so:

$y = 20*100 - 0.1*100^2 = 1000$

The height of the rocket mid-flight is of 1000 meters.

3 0

3 years ago

The graph of a quadratic function having the form f(x) = ax? + bx + c passes

insens350 [35]

Answer:

f(-3) = -20

Step-by-step explanation:

We observe that the given x-values are 3 units apart, and that the x-value we're concerned with is also 3 units from the first of those given. So, a simple way to work this is to consider the sequence for x = 6, 3, 0, -3. The corresponding sequence of f(x) values is ...

34, 10, -8, ?

The first differences of these numbers are ...

10 -34 = -24

-8 -10 = -18

And the second difference is ...

-18 -(-24) = 6

For a quadratic function, second differences are constant. This means the next first-difference will be ...

? -(-8) = -18 +6

? = -12 -8 = -20

The value of the function at x=-3 is -20.

_____

The attachment shows using a graphing calculator to do a quadratic regression on the given points. The graph can then be used to find the point of interest. There are algebraic ways to do this, too, but they are somewhat more complicated than the 5 addition/subtraction operations we needed to find the solution. (Had the required x-value been different, we might have chosen a different approach.)